Mass 1 strikes Mass 2 while moving in the positive-x direction, which is initially at rest. After the collision M2 moves off in the same direction but at a greater speed. According to conservation of momentum, The following is true : mass 2 is smaller
According to conservation of momentum, the product of mass and velocity is constant.
Since the velocity of the second mass is greater than that of the first mass
This is possible if the mass 2 is smaller than mass 1
M1V1i + M2V2i = M1V1f + M2V2f
M1V1i = M2V2
But V2f > V1i
So M1 > M2 to balance the equation.
The conservation of momentum principle asserts that the quantity of momentum inside a problem domain remains constant; momentum is not generated nor destroyed, but only modified by the action of forces as defined by Newton's equations of motion.
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A uranium atom (u) traveling with a velocity of 5.0x105 ms-1 relative to the containing tube, breaks up into krypton (kr) and barium (ba) the krypton atom is ejected directly backwards at a velocity of 2.35 x 106 ms-1 relative to the banum after separation. with what velocity does the barium atom move forward relative to the tube? (you may assume that no other particles are produced and that relativistic corrections are small. what is the velocity of the krypton atom relative to the containing tube? (kr = 95.0, ba = 140, u = 235u)
The velocity of the barium atom forward relative to the tube is 1.59 x 106 ms-1 and the velocity of the krypton atom relative to the containing tube is 1.85 x 106 ms-1.
What is velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in a particular direction. It is typically represented by the symbol "v" and is measured in units of distance per unit time, such as meters per second (m/s) or miles per hour (mph). Velocity is defined as the displacement (change in position) of an object divided by the time it takes for that displacement to occur.
In order to determine the velocity of the barium atom relative to the containing tube, we can use the conservation of momentum principle. The principle states that the total momentum of a closed system remains constant if no external forces are acting on it. Therefore, the momentum of the uranium atom (u) before it breaks up is equal to the combined momentum of the krypton (kr) and barium (ba) atoms after separation.
We can use the following equation to calculate the momentum of the uranium atom before it breaks up:
momentum_u = m_u * v_u
where m_u is the mass of the uranium atom and v_u is its velocity relative to the containing tube.
We can then use the following equation to calculate the combined momentum of the krypton and barium atoms after separation:
momentum_kr + momentum_ba = m_kr * v_kr + m_ba * v_ba
where m_kr is the mass of the krypton atom, v_kr is its velocity relative to the containing tube, m_ba is the mass of the barium atom and v_ba is its velocity relative to the containing tube.
Now we can use the conservation of momentum principle to solve for v_ba.
momentum_u = momentum_kr + momentum_ba
m_u * v_u = m_kr * v_kr + m_ba * v_ba
Substituting the given values we have
235 * 5.0x105 = 95 * 2.35 x 106 + 140 * v_ba
Solving this equation we get
v_ba = 1.59 x 106 ms-1
Now we can use the v_kr = 2.35 x 106 ms-1 and v_u = 5.0x105 ms-1 to find the velocity of the krypton atom relative to the containing tube
v_kr - v_u = 2.35 x 106 - 5.0 x 105 = 1.85 x 106 ms-1
Hence the velocity of the barium atom forward relative to the tube is 1.59 x 106 ms-1 and the velocity of the krypton atom relative to the containing tube is 1.85 x 106 ms-1.
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20. Two resistances, one 62 and the other 88
are connected in parallel. The resistors are then
connected to a 12-V battery.
a. What is the equivalent resistance of the
parallel combination?
b. What is the current through each resistor?
which of the following is not a functional or structural difference between gray matter and white matter structures?
Here are some functional and structural differences between gray matter and white matter structures:
What is gray matter?Gray matter is made up of neuronal cell bodies, dendrites, and un myelinated axons, while white matter is composed of myelinated axons.Gray matter is in charge of information processing, decision-making, and movement control.while white matter is responsible for connecting different regions of the brain and facilitating communication between them.Gray matter is found in the cerebral cortex and in deeper structures such as the brainstem and cerebellum, while white matter is primarily found in the cerebral hemispheres and spinal cord.Gray matter is denser than white matter, which is why it appears darker on imaging studies like CT and MRI.A functional or structural difference that is not true: In fact, it's the opposite, white matter has a higher water content, making it more hydrated.To learn more about gray matter refer:
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Grey matter is different from white matter in that it has many cell bodies but few myelinated axons, whereas white matter has many cell bodies but mostly long-range myelinated axons.
This makes grey matter different from white matter.
Option A is correct.
In grey matter, what are the three structures?The grey matter splits into specific sections in the spinal cord, just like the brain does. The lateral grey column, the anterior grey column, and the posterior grey column are the three sections.
What gives it its name gray matter?All nerve synapses, as well as neural cell bodies, axon terminals, and dendrites, are found in the pinkish-gray substance known as gray matter. The cerebellum, brain stem, and cerebellum all contain a lot of this brain tissue. Additionally, it contributes to the central spinal cord in the form of a butterfly.
Question incomplete:
Which of the following is not a functional or structural difference between gray matter and white matter structures?
A. Grey matter is distinguished from white matter in that it contains numerous cell bodies and relatively few myelinated axons.
B. The grey matter creates a hornlike structure throughout the inside of the spinal cord while the white matter makes up the surrounding sections of the spinal cord.
C. Gray matter consists of cell bodies and unmyelinated neural processes, whereas white matter consists of myelinated fibers
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Moist heat methods operate at higher temperatures and longer exposure times as compared to dry heat methods. 1. True 2. False
False. In comparison to dry heat methods, moist heat methods function at extremely high temperatures and for longer exposure times.
What does the word "heat" mean?Heat is the result of the movement of kinetic energy within a material or an item, or from another source of energy to a material or an object. Reflection, conductivity, and convection are the three mechanisms through which such energy can be transferred. Joule is the unit of heat (J).
Is heat an energy source?When two systems or objects have higher temperature, heat is the type of energy that is moving from the increased system to the moderate system. Usually, heat is expressed in Btu, calories, or joules.
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Two white light sources illuminate a screen. An eraser in front of the screen casts the shadow(s) shown in the photograph. What statement(s) below can be said for this situation? Both light sources are to the right of the eraser Both light sources are equally bright The light source more to the right is brighter One light source is to the left of the eraser and one is to the right of the eraser. The light source more to the left is brighter Both light sources are to the left of the eraser
Both light sources are to the right of the eraser statement(s) below can be said for this situation.
How many different kinds of light sources are there?Light sources are classified into two types: incandescence and luminescence.
Light bulbs, lamp posts, and televisions are all examples of artificial light sources. We couldn't perceive the world without light sources, yet not every item we see is a light source.
However, each of the three forms of lighting has a specialised purpose to meet certain demands, as follows: Ambient lighting. Accent lighting. Task lighting.
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(a)the magnitude of the dependent current source in the circuit below depends on the current flowing through the resistor. determine_____.
Electronics Tutorial on the Current Source and how independent and dependent sources can be used to describe continuous current sources.
How do you locate the source of the dependent current?A dependent source is a current or voltage source that depends on another circuit's current or voltage rather than having a set value (i.e., independence). Y=kX, where X and Y are currents or voltages and k is the proportionality factor, is the usual expression for the value of a dependent source.On the other hand, a current source is referred to be a dependent or controlled current source if the current flowing through it is controlled by another voltage or current in a circuit. In Figure 2, these sources' symbols are depicted. Internal opposition to an ideal current source is infinite.To learn more about current source refer to:
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mass is defined as mass is defined as drop zone empty. weight is defined as weight is defined as drop zone empty. mass mass drop zone empty. weight weight drop zone empty. depends on the local gravitational field. the quantity of matter in an object. does not change with location. the force exerted on an object by the local gravitational field.
A reference ellipse of rotation that closely resembles the real Earth's gravitational field is known as the normal field. Anomaly field is the term used to describe the distinction between the field and also the typical field.
Why do we have gravitational fields?Every mass or collection of masses is surrounded by a gravitational field, which is a force field. Although this field is pervasive in all directions, the strength of both the gravitational force reduces as one gets further away from an object.
The source of the gravitational field?All of the mass on Earth contributes to gravity. All of its mass exerts a cumulative gravitational force on your body's mass. You gain weight because of that. You would also weigh less if you resided on a globe with little mass than Earth.
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The complete question is: Mass and weight, which is defined as drop zone empty, depends upon the local gravitational field and the quantity of matter in an object. This does not change with respect to location and the force exerted on an object by the local gravitational field.
the spring has a spring constant of k. at what value x of teh compression, does the object reach maximum speed
The object does not reach maximum speed at any particular value of x. The speed of the object depends on the magnitude of the applied force and the rate at which the force is applied.
What is the maximum speed of the object when it is compressed to a distance x? The maximum speed of an object when it is compressed to a distance x depends on the type of force that is applied to it. Generally, the maximum speed of an object is determined by the net force applied to it. If the net force is zero, then the object will not move. However, if a net force is applied, then the object will accelerate. The maximum speed of the object is determined by the magnitude of the net force and the object's mass. The acceleration of the object is determined by the net force divided by the mass of the object. If a large force is applied to the object, then the acceleration will be high and the maximum speed of the object will be high. On the other hand, if a small force is applied, then the acceleration will be small and the maximum speed of the object will be low. Therefore, the maximum speed of an object when it is compressed to a distance x depends on the magnitude of the force applied to it.To learn more about compression refer to:
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Which is the correct descending order of locations (most common location to least common location) where berry aneurysms are known to occur?Anterior communicating artery; posterior communicating artery; middle cerebral artery
The most frequent type of intracranial aneurysms are force berry (saccular) arteries, which account for 90% of cerebral aneurysms.
A force is what in science?In science, "force" refers to a certain concept. At this point, describing a force as a push or even pull is quite appropriate. Never assume that a substance "has in it" as well as "contains" a power. A force is experienced by one thing from another. In the idea of a force, there have both been living organisms and inanimate objects.
Why do forces take place?Forces are created when two (or more) components interact. An equal yet opposite force is applied to each individual on the other. Due to outside influences, the object moves. A force from within the object has no impact on its total motion.
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The correct descending for berry aneurysms order is -- A)nterior communicating artery
B)Middle cerebral artery
C)Posterior communicating artery
What do you understand by the tem berry aneurysm?The anterior communicating artery and internal carotid artery merge, followed by the middle cerebral arteries and the posterior communicating artery, even as areas of Berry aneurysms are most commonly found.Berry (saccular) aneurysms, which make up 90% of cerebral aneurysms, are the most prevalent form of intracranial aneurysm. Generally speaking, a weakening region in the wall of a blood artery in the brain causes a ballooning. The symptomatology of atherosclerosis varies depending on their size, from asymptomatic to intracerebral bleeding (subarachnoid) in the worst cases. Saccular aneurysm has mostly supplanted the previous name "berry aneurysm." This assignment examines how an interprofessional team evaluates, treats, and manages berry aneurysms.
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for each case, derive an expression for the change in gravitational potential energy, and compare it to the work done by gravity. (take the ground as the reference level (where gpe
U = mgh is result of the expression calculating gravitational potential energy elevation (h). R + h = R + g = GM/R2 follow when hR. should be noted as g no value near the earth's centre, a body's weight is also zero .
Why is gravity a force?But in a wider sense, gravity is a force since it explains the interaction of two masses. Fundamentally, the stretching of space and the motion of things through the deformed spacetime are what create gravitational effects. But the outcome appears to be the effect of applying force.
– Derive ΔU = mgh. When, h<<R, then, R + h = R and g = GM/R2. ⇒
What are the three different types of gravity?There will be only one kind of gravity. In nature, there are only two types of gravity. This indicates that there is just one kind of gravitational pull that draws the two bodies closer based on their.
U = – GMm / r
U = – GMm/r
U = mgh
Fdx = dw
dW = (GMm/x2)dx
W=SC.Mm ) dx00
W = - (GMm)- (-00• GMm
W=-GMm/r
U = - GMm(1/r1 - 1/r2)
if r1 >r2 so U is negative
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The correct question is
Define gravitational potential energy. Derive expression for gravitational potential in the gravitational field of earth at distance r from the centre of the earth.
A train is moving along a straight line with a constant acceleration. A boy standing inside the train throws a ball in forward direction with a speed of 10
m/s
at an angle of 60
∘
to the horizontal, with respect to himself. The boy has to move forward by 1.15
m
inside the train to catch the ball (at the initial height). Then,
[Take g
=
10
m/s
2
]
A
Acceleration of train is 5
m/s
2
B
Acceleration of ball is 10
m/s
2
C
Acceleration of ball is 5
√
5
m/s
2
D
Displacement of train is 8.66
m
The Acceleration of the train which is moving along a straight line with a constant acceleration is 5 m/s2.
The ball which is thrown from the train performs a parabolic function.
For the vertical motion, we know that,
[tex]s = ut - \frac{1}{2} gt^{2}[/tex]
0=10sin[tex]60^{o}[/tex]- [tex]\frac{1}{2}10t^{2}[/tex]
t= [tex]\sqrt{3} \\[/tex] sec.
For the horizontal motion, we know that,
[tex]s=ut+\frac{1}{2} gt^{2}[/tex]
1.15=10cos[tex]60^{o}[/tex]X[tex]\sqrt{3}[/tex] - [tex]\frac{1}{2} a^{3}[/tex]
a= 5m/s2
Acceleration can be defined as a term used in mechanics that is to describe the pace at which the velocity of an object varies over time. Acceleration is actually vector quantity (in that they have magnitude and direction). The direction of the acceleration of the object is determined by the direction of the net force acting on it.
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A 10.0 g marble slides to the left with a velocity of magnitude 0.450 m/s on the frictionless, horizontal surface of an icy New York sidewalk and has a head on elastic collision with a larger 35.0 g marble sliding to the right with a velocity of magnitude 0.250 m/s.a. Find velocity of each marble after the collision. Since the collision is head on, all the motion is along a line. Take right as the +x direction.b. Calculate the change in momentum for each marble.c. Calculate the change in kinetic energy for each marble.
The change in momentum for each marble is −0.061m/s and the change in kinetic energy for each marble is −0.14m/s.
In physics, what is a momentum?
Momentum is characterised as the intensity of a body's motion.
As momentum depends on both velocity and the orientation of the body's motion, it is quantified by "mass velocity". Since speed is a vector and mass is a scalar, momentum is a vector. Mass times speed equals momentum.
What is the momentum unit in a formula?
Momentum. The momentum of an object is defined as its formas by its speed if it has a mass of m and a velocity of v. mv = momentum Momentum is a vector quantity since it has either magnitude and direction. Newton seconds, abbreviated N s, or kg m s 1 are the units of momentum.
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choose the correct impulse-momentum bar charts to represent a falling ball in a system consists of the ball and earth. in the initial state, the ball is at rest; in the final state, the ball is moving.
Initially we choose the ball and earth together as our system. Since there are no external forces acting on them they are said to be in isolated state.
Given that the ball is at rest initially. So u = 0m/s
Finally the ball is moving with velocity = v m/s
The ball is moving downward after falling and earth is moving upwards.
Piy(earth) = -Piy(ball)
The initial momentum is zero as there are at rest and the final momentum after collision must be zero as they are isolated.
After colliding the ball will stick together with the earth and stops so that the final velocity becomes zero. According to the impulse-momentum theorem, an item will experience an impulse that is equal to the change in its momentum. We can now see how the impulse-momentum theorem demonstrates how a modest net force applied over a prolonged period of time can result in the same velocity change.
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a total charge q is uniformly distributed through-out a spherical volume of radius a. which of the following is a dimensionally correct expression for the potential difference between the center of the sphere and its surface?
(1/8πε0)Q/a is a dimensionally accurate equation for the potential difference between the surface and the center of the sphere.
The potential difference [tex]v=\frac{1}{4\pi \epsilon_{0}} \frac{Q}{r}[/tex]
Suppose we separate the quantity [tex](\frac{1}{4\pi \epsilon_{0}} Q)[/tex]which is dimensionally and equally the same as [tex](\frac{1}{8\pi \epsilon_{0}} Q)[/tex]. Then, we will have 1/r and 1/a as the same dimension.
Therefore, the correct option is:
d. (1/8πε0)Q/a
When two places in a circuit have different amounts of charge carriers' energy, this is referred to as a potential difference.
Voltage measurement: Voltage (p.d.), which is denoted by the symbol V, is a unit of measurement for potential difference. Charge carriers in a circuit flow through them, transferring energy to the circuit's electrical components. To gauge the potential difference, we use a voltmeter (or voltage).
The formula for Possible Differences:
** V = I x R**
Equal to the number of current times the resistance, the potential difference—also known as voltage—is the same as the current flow. One Coulomb of charge travels between two places in a circuit with a potential difference of one Volt, requiring one Joule of energy to do it.
The correct question is:
A total charge Q is uniformly distributed throughout a spherical volume of radius a. Which of the following is a dimensionally correct expression for the potential difference between the center of the sphere and its surface?
a. (1/8πε0)Q
b. (1/8πε0)Qa^2
c. (1/8πε0)Qa
d. (1/8πε0)Q/a
e. (1/8πε0) Q/a^2
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which of the following is an example of potential energy transformed into kinetic energy? compressing a spring lifting a book above your head riding a bike to the top of a hill setting a mouse trap a mouse tripping a mouse trap next
A mouse stepping into a mouse trap Here is an illustration of potential energy becoming kinetic energy:
In plain English, what is kinetic energy?The known as kinetic, or kinetic energy, can be seen in the movement of an item or subatomic particle. Kinetic energy is present in every object moving and particle. Kinetic energy is present when something moves, such as a guy walking, a baseball soaring through the air, a piece of food dropping from a table, or a charged particles in such an electric field.
What makes kinetic energy so special?As we've already seen, kinetic energy rises when weight and/or speed rise, and KE doesn't change unless an object accelerates or decelerates. Translation and rotation kinetic energy are the two primary subtypes of kinetic energy.
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In steady flow, the velocity of a fluid particle at any point is constant in time. On the other hand, the fluid in a pipe accelerates when it moves from a larger-diameter section of the pipe into a smaller-diameter section, so the velocity is increasing during the transition. The condition of steady flow rules out such an acceleration, O True O False
If each passing fluid particle's velocity is constant at any given position, the flow of fluid is said to be steady.
Can a fluid particle speed up during a constant flow?Even in a constant flow, the convective acceleration might be non-zero! In other words, a fluid particle is still accelerated from one site to another even when the velocity field is not a function of time (i.e., a continuous flow).
Does steady flow have a constant velocity?A steady flow implies that a fixed point has a constant fluid particle velocity. This implies that each particle going through that place will do so at the same speed, regardless of how quickly it does so.
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A pendulum bob swings from point A to point B along the circular arc indicated in the figure (Figure 1).Part A Indicate whether the work done on the bob by gravity is positive, negative, or zero. O work done on the bob by gravity is positive O work done on the bob by gravity is negative O work done on the bob by gravity is zero
A pendulum bob swings from point A to point B along the circular arc indicated that
a. Work done is positive
b . Work done is ZERO ( because the string force(tension) is always perpendicular to the motion
Work done in physics is the energy that is transferred to or from an item when a force is applied along a displacement. For a constant force acting in the same direction as the motion, the work is simply equal to the product of the force's magnitude and the distance traveled. When a force is applied, it is said to have a component that moves the point of application, or it is said to have positive work. If the component of a force at the point of application is in the opposite direction of the displacement, the force is said to do negative work.
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which of the following particles is a type of antimatter? O beta-minus O alpha O beta-plus O neutron
atomic nucleus Some radioactive elements' nuclei spontaneously released a positively charged particle. It has a and is comparable to a helium atom.
What kind of particle is an a?Alpha-minus O Alpha O O neutron plus beta atom The composite alpha particle (a) is made up of two neutrons and two protons that are firmly bonded together. They are released from the nuclei of some nuclides during an alpha-decay process, a kind of radioactive decay.
Alpha particles Mcq: What are they?In essence, a particle is a He nucleus made up of neutrons and protons. The charge on a particle is equal to two protons. Four units of mass are equal to two neutrons and two protons in a particle. The sign for a particle is hence 4He2.
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if your room is about 5m wide, below what frequency will the single subwoofer be sufficient? the speed of sound in air is about 350m/s. because the cost of standard speakers increases significantly if they must emit lower frequencies, i just saved you a bunch of money on speakers!
Sound travels through air at a speed of around 350 m/s in a room that is about 5 m wide.
What is the straightforward meaning of frequency?Frequency is the number of waves that pass a specific area in a defined amount of time. As a result, the frequency is 2 per second if a wave travels through in half a second. If it takes 1/100 of an hour, the frequency is 100 times per hour.
What is frequency in hertz?Frequency is defined as the rate of changes in current direction per second. It is given in hertz (Hz), an internationally recognized unit of measurement. One cycle per second is equal to one hertz. Cycles per second are represented by the unit hertz (Hz).
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a woman with horizontal velocity v1 jumps off a dock into a stationary boat. after landing in the boat, the woman and the boat move with velocity v2. compared to velocity v1, velocity v2 has
Velocity of boat (V₂) will be less than V₁ but in the same direction.
According to a specific unit of time and as observed from a specific point of reference, velocity is the directionally speed of an object in motion. A fundamental idea in kinematics, the area of classical mechanics that studies the motion of bodies, is velocity. The velocity of a physical vector quantity requires a magnitude and a direction in order to be defined. The magnitude (scalar absolute value) of velocity is known as speed.
Let mass of women is [tex]M_{1}[/tex]
mass of boat = [tex]M_{2}[/tex]
before diving into the boat, the women's momentum is (p₁) =[tex]M_{1} V_{1}[/tex]
momentum after jumping into the boat(p₂)=[tex](M_{1}+M_{2}) V_{2}[/tex]
by the conservation of momentum
[tex]M_{1} V_{1}[/tex]=[tex](M_{1}+M_{2}) V_{2}[/tex]
[tex]V_{2}[/tex] =[tex]\frac{M_{1} V_{1} }{M_{1}+ M_{2} }[/tex]
[tex]\frac{M_{1} }{M_{1}+ M_{2} }[/tex]<1
[tex]V_{2} < V_{1}[/tex]
A<1
[tex]\frac{V_{2} }{V_{1} }[/tex]<1
[tex]V_{2} < V_{1}[/tex]
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For the system that only includes the object, which of the following claims best describes what happens to the mechanical energy of the system while the object is moving from the bottom of the ramp to the top of the ramp? The mechanical energy of the object increases because the gravitational potential energy increases as the object moves up the ramp. The mechanical energy of the object decreases because the force due to gravity from Earth does negative work on the object as it moves up the ramp. The mechanical energy of the object is constant because the kinetic energy of the object is constant.A determination of the change of the mechanical energy of the object cannot be made without knowing the power of the motor that is used to move the conveyor belt.
Mechanical energy (kinetic energy or potential energy) is the energy of either an object in motion or the energy that is stored in objects by their position.
Mechanical energy is also a driver of renewable energy. Many forms of renewable energy rely on mechanical energy to adequately produce power or convert energy. Mechanical energy is the sum of kinetic energy and potential energy in an object that is used to do a particular work.
In other words, it describes the energy of an object because of its motion or position, or both. Mechanical energy is the energy a body has due to its movement or position. A good example would be the energy that is released while falling from a certain position.
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while the object is moving from the bottom of the ramp to the top of the ramp, the mechanical energy of the object increases because the gravitational potential energy increases as the object moves up the ramp.
Mechanical energy is the energy a body has as a function of motion or position. A excellent example is the energy that is released when one falls from a certain position. Mechanical energy is one of the essentials studied in mechanical engineering because it is the literal driving power of the world around us, whether it be natural or man-made. Mechanical energy is quantified in joules.
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Which of the following five quantities is NOT an expression for energy? Here m is a mass, g is the acceleration due to gravity, h and d are distances, F is a force, v is a speed, a is an acceleration, Pis power, and t is time. Fd1/2mv2 Pt mgh ma
The term for force rather than energy. Energy is also produced when power and time are combined. a term for energy, as a result. As a result, option D is the only one that does not express energy.
What is a word that describes energy?Consequently, w = ma x (v2 - u2)/2a, where an is cancelled and u = 0. Work completed equals 1/2 mv2, so. and energy or kinetic energy equals work done.
Does force represent energy?Power is an expression of energy expended through time (effort), of which force is an element, as opposed to force itself, which is the fundamental outcome of an interaction between two objects. Although both force and power can be quantified and explained, a force is a genuine physical.
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Part B In order to find the value of the horizontal position of the pumpkin for which its height is a maximum, we need to seek values of xm for which: > View Available Hint(s) y(x) = axm^2 +b = 0
dy/dx = 2axm+b 272+b=0 200+ has its minimum value, which must be determined by obtaining d^2y/dx^2
dx/dy = 2axm + b = 0
dy/dx = 2axm +b = ymax, which will be determined in the next step of the analysis Part C Use the result from Part B to evaluate the value of horizontal position of the pumpkin trajectory, xm, at which the slope of y(x) is 0. Express your answer with the appropriate units. xm = 63 m
The value of the horizontal position of the pumpkin is 62.5.
What is the value of the horizontal position of the pumpkin?Its height is a maximum, we need to seek values of xm for which: > View Available Hint(s) y(x) = axm^2 +b = 0
dy/dx = 2axm+b 272+b=0 200+
The pumpkin's highest height is reached 62.5 horizontal meters from the point of launch.
The computation looks like this:
The equation, which corresponds to a parabola-shaped curve, is y = - 0.008x 2 + x.
Now that the arms of this parabola are pointing downward, we may calculate its maximum by demanding that the derivative slope of the tangent line to the curve be equal to zero.
The result is that u prime = -0.016x + 1 0 = -0.016x + 1 x = 1 / d * iv * 0.016 = 62.5m.
The value of the horizontal position of the pumpkin is 62.5.
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What mass of a material with density is required to make a hollow spherical shell having inner radius r1 and outer radius r2? (Use any variable or symbol stated above along with the following as necessary: .)
mass =
The mass of a material with density is required to make a hollow spherical shell having an inner radius of r1 and an outer radius of r2 is given as [tex]\frac{4\pi.p(r^3_2-r^3_1)}{3}[/tex]
What is Density?The amount of anything in relation to a unit of volume, area, or length: as. : the substance's mass in relation to its volume. grams per cubic centimeter is a unit of density.
The volume of a spherical shell can be calculated from:
V= [tex]V_o - V_1 = \frac{4}{3}\pi(r^3_2 - r^3_1)[/tex]
From the definition of density, ρ = m/v
So,
m = pv = p[tex](\frac{4}{3} \pi)[/tex][tex](r^3_2 - r^3_1)[/tex] = [tex]\frac{4\pi.p(r^3_2-r^3_1)}{3}[/tex]
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7. Point charges of 5.00 μC and –3.00 μC are placed0.250 m apart. (a) Where can a third charge be
placed so thatthe net force on it is zero? (b) What if both charges arepositive?
a.) Third charge is placed so that the net force becomes zero:0.8620 m
b.) Both charges are positive: 0.1092 m
Define the term coulombs law?Coulomb listed the following characteristics of the electric force given charges in a resting state: Unlike charges attract each other whereas like charges repel one another.As a result, a positive charge pulls a negative charge toward it whereas two negatively charged ions repel one another. The line here between two charges is where the attraction and repulsion occurs.The stated data:
Q1 = 5.00 μC Q2 = -3.00 μCLet the third charge be 'Q3' such that (net force acting on Q3 = 0)
Let distance between Q1 and Q2 br 'd' = 0.250 m
Let Q3 be at a distance x to of right of Q2.
Distance between Q3 and Q1: d + x
The distance at which the third charge must be positioned for the net force to be zero is specified.
k|Q1||Q3|/(d+x)² = k|Q2||Q3|/(x)²
Write in terms of 'x'.
x = d/±√((|Q1|/|Q2|) - 1)
Put values:
x = 0.250/±√((|5|/|-3|) - 1)
x = 0.250/±√((5/3) - 1
x = 0.250/(±1.290 - 1)
x = 0.250/(1.290 - 1) or 0.250/(-1.290 - 1)
x = 0.8620 or −0.1092
AS, x can not be negative.
So, x = 0.8620
Part b:
Taking all data as above:
k|Q1||Q3|/(d-x)² = k|Q2||Q3|/(x)²
Write in terms of 'x'.
x = d/(1±√((|Q1|/|Q2|))
Put values:
x = 0.250m/(1±√((|5|/|3|))
x = 0.250/(1±√((5/3))
x = 0.250/(1±1.290)
x = 0.250/(1 + 1.290) or 0.250/(1 - 1.290)
x = 0.1092 or −0.8620
As, x can not be negative.
So, x = 0.1092
Thus, if both charges are positive, the distance is found as 0.1092 m.
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While Lifting a load of 200m using a lever, an effort of 80N moved through distance of 20 cm to lift the load through a distance of 4 cm.calculate the mechanical advantage
Answer:
4
Explanation:
Velocity Ratio is the distance moved by effort ÷ distance moved by the load which is 20/4 = 5
Effort= Mechanical Advantage/ Velocity Ratio × 100/1
80/100 = x/5
80 × 5 = 100x
400 = 100x
x= 4
You find yourself in the middle of a frozen lake with a surface so slippery that both the static and kinetic friction are zero, you cannot walk. However, you happen to have several rocks in your pocket. The ice is extremely hard. It cannot be chipped, and the rocks slip on it just as much as your feet do. Can you think of a way to get to shore? Use pictures, and Newton's laws to explain your reasoning.
One way to get to shore would be to use the rocks to create a makeshift sled. By placing the rocks on a piece of fabric or other material and lying on top of it, you could use your hands to pull yourself across the ice toward the shore.
Using a makeshift sled:
Place rocks on a piece of fabric or other materialLie on top of it and use your hands to pull yourself across the iceFriction between the fabric and the rocks creates a small amount of force to move in the desired directionUsing the rocks as an anchor:
Throw rocks as far as you can from the shoreAttach a rope to the rocksPull yourself towards the shore using the ropeTension in the rope creates a force to pull you toward the shoreBoth methods rely on Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction.
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fill in the blank. the___determines the pressure on the systems low side. the temperature the liquid refrigerant is defrosting at the temperature of the liquid refrigerant's latent heat the temperature the liquid refrigerant is condensing at the temperature the liquid refrigerant is boiling at
The expansion valve determines the pressure on the systems low side. The temperature the liquid refrigerant is defrosting at is the temperature of its latent heat. The temperature the liquid refrigerant is boiling at is its boiling temperature.
What is temperature?The temperature is a measure of the amount of thermal energy present in a substance or system. It is typically measured in degrees Celsius (°C), Fahrenheit (°F), or Kelvin (K). Temperature is an important factor in many processes, such as the growth of plants, the development of animals, and the speed of chemical reactions. A hot day might be characterized by a high temperature, while a cold day might have a low temperature. Temperature can also be affected by elevation and latitude, with higher elevations and more northern or southern latitudes having lower temperatures than areas at lower elevations and closer to the equator.
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A crash test car of mass 1,000 kg moving at constant speed of 12 m/s collides completely inelastically with an object of mass M at time t = 0. The object was initially at rest. The speed v in m/s of the car-object system after the collision is given as a function of time t in seconds by the expression v=s/1+5la. Calculate the mass M of the object. b. Assuming an initial position of x = 0, determine an expression for the position of the car- object system after the collision as a function of time t. c. Determine an expression for the resisting force on the car-object system after the collision as a function of time t. d. Determine the impulse delivered to the car-object system from t = 0 tot = 2.0 s.
The mass M of the object 500KG ,the impulse delivered to the car-object system from 10 to 1 = 2.0 s. is 10,909, the resisting force on the car-object system after the collision as a function of N'S (1+56) 2
a) Calculate the mass M of the object.
P2 = PMcanVi=(Mcm + M) Vf
COLLISION HAPPENS AT too
(1000)(12)== (1000+ M) (8)
12000 = 8000 + 8M
v (o) =8 1+5(0)=
४%,| M =500ky+dx=dt
४ 1+56
Jdx:
४=11+5€
LET u = 1+5t8du = 5dt5
(b) Assuming an initial position of x = 0, determine an expression for the position of the car-object system after the collision as a function of time t.
814Sisi det४=en (1+5€)
(c) Determine an expression for the resisting force on the car-object system after the collision as a function of
time t.drd840a ==Je de1+5+(1+5t)F=ma = (1500) (-(1500) (-2)60,000=
(1+56) 2
(d) Determine the impulse delivered to the car-object system from 10 to 1 = 2.0 s.
I= op = M(AU) = = 1500 (THS (2)8
1+5(2)m.
M (V(2)-V(0))४1 +56);)=|-
10,909 N'S
What are the various types of collision?There are two different types of collisions among two bodies: 1) Head-on collisions, or one-dimensional collisions, where the speed of each skin just before impact coincides with the line of impact, and 2) Quasi collisions, oblique collisions, or two-dimensional collisions, where the speed of each body just before
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a heavy ball is hung with a string from the ceiling. another string is attached to the bottom of the ball. a downward pulling force is exerted on the lower string as shown in the figure below. which of the following statements is true? a. if the lower string is pulled suddenly by a large force, the upper string will break first. b. if the lower string is pulled suddenly by a large force, the lower string will break first. c. if the lower string is pulled suddenly by a large force, the two strings will break at the same time. d. if the lower string is pulled by a slowly increasing force, the lower string will break first. e. if the lower string is pulled by a slowly increasing force, none of the string will eventually break.
The tension will be greater on the upper string because the lower string will only support the pull while the upper string will support the weight of the ball. The upper string is therefore more likely to break as a result.
What is string tension?String tension, measured in pounds or kilograms, is the force holding the strings to the racket's frame. It's important to never just say a number to your stringer when describing your preferred unit measurement! However, the majority of stringers will assume that you mean pounds. For the majority of players, the ideal string tension falls between 48 and 54 lbs. More power is available with a looser (lower) tension, but better control is possible with a tighter tension. Beginners will likely want more control, so they might initially prefer a tighter tension.
Here,
Because the upper string will be supporting the weight of the ball while the lower string will only be supporting the pull, there will be more tension on the upper string. As a result, the upper string has a higher chance of breaking.
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