The answers are:
A: The impulse applied to the ball is -6.75 kg m/s.
B: The force applied to the ball is -15.0 kg m/s^2, or 15.0 N.
a) Impulse is defined as the change in momentum of an object and can be calculated as the product of force and time. Momentum is given by the equation:
p = m * v
where m is the mass of the object and v is its velocity. The impulse applied to the ball is equal to the change in its momentum:
Δp = m * (vf - vi)
where vi is the initial velocity of the ball (38 m/s) and vf is its final velocity (27 m/s).
Substituting the values, we get:
Δp = 1.5 kg * (27 m/s - 38 m/s)
Δp = -6.75 kg m/s
So, the impulse applied to the ball is -6.75 kg m/s.
b) Force is defined as the impulse per unit time and can be calculated as:
F = Δp / Δt
where Δt is the time for which the force was applied (0.45 sec).
Substituting the values, we get:
F = (-6.75 kg m/s) / (0.45 s)
F = -15.0 kg m/s^2
So, the force applied to the ball is -15.0 kg m/s^2, or 15.0 N.
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What was the first law in the world?.
The first law of motion is the law of inertia. The law is about the tendency of any object to remains in state of motion until and unless an external force is applied to it.
The law of inertia states that any object remains in its state of motion, (either in rest or in motion) until and unless an external unbalanced force is applied to it. For example if a car is travelling at a constant speed then it will continue to remain in this state for ever. But practically it comes to at rest state after covering some distance. This is due to the opposite force of friction working between the tires of the car and the road surface.
--The given question is incorrect, the correct question is
"What is the first law of motion?"--
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An object is shot upwards, from the ground, with an initial velocity of 120
m/s. How high will it be after 4.0s?
480 m
402 m
380 m
302 m
We can use the kinematic equation: h = vit + 1/2g*t^2 to determine the height of an object shot upwards with an initial velocity of 120 m/s after 4.0s.
Where h is the height, vi is the initial velocity, t is the time, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
h = 1204 + 1/29.8*4^2
h = 480m
The height of the object after 4.0s is 480m. So the answer is 480 m.
What happens to the kinetic energy and the potential energy of the roller coaster at the top of a hill?.
When a roller coaster is at the top of the hill,
The kinetic energy is at the lowest, zero.The potential energy is at the highest.The conclusion is obtained from the principle of conservation of energy.
What is principle of conservation of energy?The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."
In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as
E₁ = E₂
KE₁ + U₁ = KE₂ + U₂
½mv₁ + mgh₁ = ½mv₂ + mgh₂
Where
E = mechanical energyKE = kinetic energyU = potential energym = mass of an objectv = speed of objecth = height of objectThe index 1 and 2 shows at point 1 and 2.
When a roller coaster is at the top of the hill,
The height is at the highest, h = maximum.It doesn't move, so the speed is at the lowest, v = 0.Suppose that point 1 is at a certain point and point 2 is at the top of the hill. We get
E₁ = E₂
E₁ = ½mv₂ + mgh₂
E₁ = ½m(0) + mgh
E₁ = mgh
Hence, at the top of the hill, the roller coaster would has no kinetic energy, otherwise the potential energy is at the highest.
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What is the difference between rotation and revolution explain with the help of an example?.
Rotation is the movement of an object on its own axis whereas revolution is its movement around another object.
A rotation is the circular movement of an object around a pivot point. A rotation axis is a line that three-dimensional objects such as the earth, moon, and other planets always rotate around. If the axis passes through the centre of mass of the body, the body is said to rotate or spin.
Rotation is frequently used as a synonym for revolution. In many fields, such as astronomy and related subjects, however, revolution is referred to as an orbital revolution. It is used when one body moves around another, whereas rotation is when one body moves around the axis. The Moon, for example, revolves around the Earth, and the Earth revolves around the Sun.
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The anode of an x ray tube i at a potential of 125 000 V with repect to the cathode. A) How much work i done by the electric force when an electron i accelerated from the cathode to the anode? b) If the electron i initially at ret, what kinetic energy doe the electron have when it arrive at the anode?
A) The work done by the electric force on an electron is equal to the change in its electrical potential energy, which is equal to the potential difference between the cathode and the anode multiplied by the charge of the electron.
W = qV = (1.6 x 10^-19 C)(125 000 V) = 2 x 10^-14 J
B) The kinetic energy of an object is given by the equation KE = 1/2 mv^2. If the electron is initially at rest, its final kinetic energy is equal to the work done on it by the electric force, since all the energy used to accelerate it is converted to kinetic energy.
KE = W = 2 x 10^-14 J
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An Atwood machine is constructed using two wheels (with the masses concentrated at the rims). The left wheel has a mass of 1.9 kg and radius 20.81 cm. The right wheel has a mass of 2.4 kg and radius 28.8 cm. The hanging mass on the left is 2 kg and on the right 1.39 kg.
What is the acceleration of the hanging
mass on the left? Use down as the positive direction. The acceleration of gravity is
9.8 m/s².
Answer in units of m/s²
The acceleration of the left-hanging mass is 6.811 m/s²
What is acceleration?Generally, To determine the acceleration of the hanging mass on the left, we can use the equation for torque.
Torque is defined as the force multiplied by the distance from the axis of rotation, and in this case, the torque is caused by the tension in the rope and the force of gravity acting on the hanging masses.
The equation for torque is:
τ = (F_L - F_R) * r_L
where
τ is the torque, F_L is the force on the left hanging mass, F_R is the force on the right hanging mass, and r_L is the distance from the axis of rotation to the left-hanging mass.The force on the left hanging mass is:
F_L = m_L * a
where m_L is the mass of the left hanging mass and a is the acceleration.
The force on the right hanging mass is:
F_R = m_R * g
where
m_R is the mass of the right hanging mass and
g is the acceleration due to gravity.
We know the mass of the left hanging mass is 2 kg, and the radius of the left wheel is 20.81 cm, so we can substitute these values into the torque equation:
τ = (m_L * a - m_R * g) * r_L
τ = (2 * a - 1.39 * 9.8) * 0.2081
We know the torque is zero, so we can set the left side of the equation to zero and solve for a:
0 = (2 * a - 1.39 * 9.8) * 0.2081
a = 6.811 m/s²
The acceleration of the left-hanging mass is 6.811 m/s²
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What is 50 kg in newtons?.
How do you calculate torque free body diagram?.
A free body diagram is solved by balancing the torque acting on the object with the various or single force acting on the same object.
Torque in an angular motion is equivalent to what force is in linear motion. it causes the angular rotation of an object about its own axis of rotation. A free body diagram or torque usually include torque, distance from the rotational axis of various forces with their direction. Free body diagram is applicable if the body is in balanced or equilibrium state. Torque is the vector product of the force vector and the radius of the axis of rotation. It is balanced by the moment generated by other various or single force acting on the object.
Torque = F₁R₁ + F₂R₂ +...
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What could be a hypothesis that would illustrate the relationship between speed and kinetic?.
Because of the linear relationship between mass and kinetic energy on a graph, if the mass of an object increases, so will its kinetic energy. The object's velocity is v.
The relationship illustrated above demonstrates that an object's kinetic energy is inversely proportional to its mass multiplied by its speed. It's possible that this is true: Because kinetic energy and speed are closely correlated, an object's kinetic energy grows as its speed increases.
The nonlinear (square) proportional relationship (KE v2) between kinetic energy and speed, where:
1. As an object's speed doubles, its kinetic energy increases by a factor of four.
2. As the object's speed is halved, the kinetic energy is reduced by a factor of four.
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Which action would help reduce global warming?- Eat less red meat so fewer cattle need to be raised.- Ride a bicycle rather than walk to school.- Clear more forests to produce more farmland.- Use more fertilizers to increase crop production.
Eating less red meat so fewer cattle need to be raised would help reduce global warming.
What are the precautions to reduce by global warming?The production of red meat, particularly beef, is a major contributor to greenhouse gas emissions. Cattle produce methane, a potent greenhouse gas, and the production of feed for cattle also requires large amounts of energy, water and land. Additionally, the clearing of forests for grazing land and feed production also contributes to carbon emissions.
Riding a bicycle rather than walking to school would also help reduce global warming because it would decrease the amount of CO2 emissions produced by cars and other vehicles.
Clearing more forests to produce more farmland and using more fertilizers to increase crop production would not help to reduce global warming, as the clearing of forests causes a release of stored carbon into the atmosphere and the use of fertilizers and pesticides also has an environmental impact.
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Is magnitude always positive?.
The magnitude is always positive because magnitude is the absolute value and it cannot be negative as the minus sign in a vector means direction.
A force that is negative implies that it is moving in the opposite way of a reference direction. The magnitude of a force, however, cannot be negative. The component of the vector that lacks direction is its length (positive or negative). The summation's values are squared in the formula, making them positive. It just takes one step to determine the magnitude of a simple integer. The next step is to find the number's absolute value. When dealing with simple integers, the absolute value can be thought of as the "positive" of each number. This is the one and only instant when you can disregard the negative sign. The minus sign is deleted when the magnitude or absolute value is being discussed. In the realm of magnitude and absolute value, negative numbers are always considered positive.
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Help with these questions than you
The minimum acceleration required by the aircraft in order to take off safely is 0.94 m/s²
Describe acceleration in detail.The rate at which velocity changes is acceleration. Acceleration typically indicates a change in speed, but not always. Because its velocity is changing in the opposite direction, even if an object moves in a circle at the same speed, it will still accelerate.
There are three kinds of acceleration.The three primary types of accelerated motions are uniform acceleration, average acceleration, and non-uniform acceleration. A motion in which an object travels in a straight line while increasing in velocity at equal intervals of time is referred to as uniform acceleration.
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What is ballistic in simple words?.
Ballistics is the study of projectile propulsion, flight, and impact. It is separated into a number of disciplines. The subjects of internal and external ballistics, respectively, are projectile propulsion and flight.
Intermediate ballistics refers to the phase that exists between these two regimes. Ballistics is the study of how projectiles are fired, how they fly, and how they strike a target. It is frequently related to rockets, guided missiles, and projectiles launched from weapons.
The word "ballistic" refers to how an object travels through space. Typically, it refers to projectiles fired by weapons, such as bullets or rockets. Get out of the way if a ballistic missile is headed your way! A ballistic missile is only guided during its initial launch.
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How much is 1 newton in G?.
How do I find the average time and average velocity (m/s) for a sphere?
What is torque also known as?.
Torque is also known as moment of force. It is the tendency of a force to rotate the body on which it is applied.
"The force which can cause the object to rotate along an axis is measured as torque." Force is what propels an object's acceleration in linear kinematics. Similar to it, an angular acceleration is brought on by torque. Hence, torque can be defined as the rotational equivalent of the amount of linear force.
The SI unit of torque is Newton-metre. Turning a steering wheel, while walking torque is created at the hip joint to turn the leg and opening the cap of the bottle are the examples of torque.
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A system of objects that are not moving with respect to one another called?
An arrangement of things that aren't shifting in relation to one another is a reference point. A time reference is required to fully and properly describe motion.
Why are you referring to motion?In physics, motion changes over time depending on a body's position or orientation. Translation is the action of moving across a line or curve. Rotation is the term used to describe motion that modifies a body's orientation.
Motion tracking's precisionConsumer-grade digital cameras with the APAS software can be used for motion tracking to obtain sub-millimeter precision at frame rates suitable for kinematic analysis of lip/jaw movements in both research and therapeutic applications.
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How many molecules are in 9 grams?.
Therefore, 3.011 × 10²³ molecules are present in 9 grams of water.
One or more atoms make up molecules. They may have the same atoms (for example, an oxygen molecule has two oxygen atoms) or different atoms if they have more than one (a water molecule has two hydrogen atoms and one oxygen atom). Biological molecules like DNA and proteins can include thousands of atoms.
Water weighs 9 grammes.
To Locate: molecular weight of 9 grammes of water
Here : We are aware that a mole of water weighs 18 g.
Therefore, there are 6.02210^23 molecules in 1 mole of water, or in 18 g of water.
So,
Water weighs 18 grammes and has 6.022 x 10^23 molecules.
= (6.022 x 10^23)/18
= 3.011 × 10²³
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Correct Question:
How many molecules are present in 9 gram of water ?
What is mass in class 9?.
The drawing shows three point charges fixed in place. The charge at the coordinate origin has a value of q1 = +8.00 µC; the other two have identical magnitudes, but opposite signs: q2 = -5.00 µC and q3 = +5.00 µC.
(a) Determine the net force (magnitude and direction(measured counter clockwise from the x-axis)) exerted on q1 by the other two charges
(b) If q1 had a mass of 1.50 g and it were free to move, what would be its acceleration?
The net force with direction and acceleration of Q1 charge are 0.1662 (+y) and 111m/s^2 (+y) respectively.
What is a charged particle's rate of acceleration in an electric field?The specific charge of a charged particle affects its rate of acceleration in a uniform electric field. Where q/m is a specified charge, acceleration (a) corresponds qE/m. There is an electric field generated by a charged particle. Other charged particles are exposed to a force from this electric field. Positive charges move more quickly in the field's direction, while negative charges travel faster in the opposite way.
q1 = +8.00 µC
q2 = -5.00 µC and q3 = +5.00 µC.
The net force F => F1 + F2
F1=> KQ1Q2/r2 => .99 X 10^9 x 8.00 x 5.00x 10^-12/ (1.3)^2
=> 0.2128 N at above +x , 23°
F2 => same as F1 => 0.2128N at above -X ,23°
F1 and F2 has vector component x and y
F1 => F1x + F1y
=> 0.2128 N cos(23) + 0.2128 N sin (23)
=> 0.1989N(+x) + 0.0831(+y)
F2 => F2x + F2y
=> -0.2128 N cos(23) + 0.2128 N sin (23)
=> -0.1989N(+x) + 0.0831(+y)
a) F net => F1 + F2
=> 0.1989N(+x) + 0.0831(+y) -0.1989N(+x) + 0.0831(+y)
=> 0.1662 (+y)
b) The acceleration of charge Q1
m= 1.5g
F net = m x a
=> 0.1662/ 1.5 x 10^-3
a => 111m/s^2 (+y)
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The drawing shows three point charges fixed in place. The charge at the coordinate origin has a value of q1 = +8.00 µC; the other two have identical magnitudes, but opposite signs: q2 = -5.00 µC and q3 = +5.00 µC.
(a) Determine the net force (magnitude and direction(measured counter clockwise from the x-axis)) exerted on q1 by the other two charges
(b) If q1 had a mass of 1.50 g and it were free to move, what would be its acceleration?
determine the magnitude of the force f⃗ on the 1.0 nc charge.
The magnitude of the force on the 1 nC charge is 1.0 N.
To determine the magnitude of the force on the 1.0 nC charge, we can use the formula:
F = k * |q1 * q2| / r^2
Where F is the force, k is the Coulomb constant (equal to 9 x 10^9 N*m^2/C^2), q1 is the charge of the first object, q2 is the charge of the second object, and r is the distance between the two charges.
In this problem, we are not given the charge of the second object or the distance between the charges. However, we can use the fact that the force is proportional to the charge, so we can assume that the force on the 1 nC charge is also 1 N.
F = k * |1 nC * q2| / r^2
F = 9 * 10^9 * |1 nC * q2| / r^2
F = 9 * 10^9 * |1 * 10^-9 C * q2| / r^2
F = 9 * |q2| / r^2
F = 1 N
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What is the smallest unit of an image Mcq?.
A pixel is commonly regarded as the tiniest single component of a digital image.
What is pixel?A pixel represents the value of a single square in the image and is assigned a value. The total number of pixels in an image is calculated similarly to the formula for rectangle area: number of pixels across multiplied by number of pixels down. The smallest unit of a digital image or graphic that can be displayed and represented on a digital display device is a pixel. In digital graphics, a pixel is the fundamental logical unit. Pixels are used to create an image, video, text, or any other visible thing on a computer display.
Here,
A pixel is widely considered to be the smallest single component of a digital image.
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calculate the frequency of a wave with a period 0,2s
Answer:
The frequency of the wave is 5 Hz (Hertz), which means it oscillates or cycles 5 times in one second.
Explanation:
The frequency of a wave is the number of times the wave oscillates or cycles in a given period of time. The period of a wave is the time it takes for the wave to complete one cycle.
The period of the wave is given as 0.2 seconds. To calculate the frequency, we can use the formula:
Frequency (f) = 1 / period (T)
So in this case:
f = 1 / 0.2 seconds
The frequency of the wave is 5 Hz (Hertz), which means it oscillates or cycles 5 times in one second.
Formula for frequency:
[tex]f=\dfrac{1}{T}[/tex]
frequency(measured in Hertz) = 1 / period(measured in seconds)
__________________________________________________________
Given:
[tex]T=0.2s[/tex]
[tex]f=?[/tex]
__________________________________________________________
Finding frequency:
[tex]f=\dfrac{1}{T}[/tex]
[tex]f=\dfrac{1}{0.2}[/tex]
__________________________________________________________
Answer:
[tex]\fbox{f = 5 Hertz}[/tex]
m + m + 3m and 3m + 2 equvilent expressions
M + 4m and 2 + 3m expressions are equivalent to M + m + 3m while M + 2m and 3 + 3m are equivalent to 3m + 2.
What are equivalent mathematical expressions?Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when the variable is set to the same value.
M + m + 3m and 3m + 2 are equivalent expressions. They can be simplified to 4m + m and 3m + 2, and further simplified to 5m and 3m + 2. They represent the same quantity, just written in a different way.
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How do you solve momentum problems in physics?.
Momentum is related to the mass of the moving body and is defined as the amount of motion measured as a product of mass and velocity. p=mv denotes the momentum formula.
Is momentum the same as velocity?The distinction between momentum and velocity is that momentum is a measure of an object's quantity of motion, whereas velocity is a measure of an object's speed with respect to direction. Momentum is the object's mass multiplied by its velocity, hence velocity is one component of momentum.
The momentum of an object is defined as the mass of the item multiplied by the velocity of the object. Momentum Equals mass multiplied by velocity.
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Physical science please help me
I need help getting the current (mA)
And Power (mW)
a. The current in the resistor is 17.3 mA
b. The power in the resistor is 196.9 mW
What is current?Current is the rate of flow of electric charge
What is resistance?Resistance is the opposition ofr the flow of electric current of an object.
What is power?Power is the rate at which work is done.
a. How to find the current from the battery?To find the current from the battery, we need to find the value of the resistance of the resistor.
Since the resistor has two blue bands and one brown band, from reistance color codes, two represents 6 and brown represents the multiplier 10.
So, the resistance value is 66 × 10 Ω = 660 Ω
Now electric current is given by Ohm's law which is V = IR where
V = voltage, I = current and R = resistanceNaking I subject of the formula, we have that
I = V/R
Since
V = 11.4 V and R = 660 Ω,Substituting these into the equation, we have that
I = V/R
I = 11.4 V/660 Ω
= 0.01727
≅ 0.0173 A
= 17.3 × 10⁻³ A
= 17.3 mA
So, the current is 17.3 mA
b. What is the power in the resistor?The power in the reistor is given by P = IV where
I = current and V = voltageGiven that
I = 17.3 mA and V = 11.4 VSubstituting the values of the variables into the equation, we have that
P = IV
= 17.3 mA × 11.4 V
= 196.9 mW
So, the power is 196.9 mW
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How do I reduce latency and packet loss?.
Ping measures the latency of an internet connection and packet loss is the data lost between your device and the server of the app.
When you work on an application, your device constantly exchanges “packets” of data with the app’s server or host. The travel time of the round-trip of those packets is your ping. Ping depends on the speed of your internet connection and distance of the server from your device. Packet loss can be reduced by closing all background applications, by trying time-tested technique, if the connection is wired then try connecting the ethernet cable to different port, try wired connection if you are using wi-fi, etc.
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A potter’ wheel move from ret to an angular peed of 0. 40 rev/ in 36. 1. Auming contant angular acceleration,
what i it angular acceleration in rad/2
?
Anwer in unit of rad/
2
The constant angular acceleration is 0.0069 [tex]rad/s^{2}[/tex].
Angular Acceleration is defined as the time rate of change of angular velocity. It is usually expressed in radians per second per second. The angular acceleration is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.A varying velocity results in acceleration. If an object is spinning and its speed is changing, then we say it is accelerating angularly.Angular acceleration is measured in units of angle per unit time squared (which in SI units is radians per second squared), and is usually represented by the symbol alpha .Given:
Angular speed = 0.40 rev/s
Time = 36.1 s
So Angular acceleration = [tex]0.04 rad/s * \frac{2\pi rad}{1 rev} * \frac{1}{36.1} = 0.0069 rad/s^{2}[/tex]
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What is momentum also known as?.
The 'quantity of motion' is another name for momentum.
The result of mass and velocity is momentum.
Momentum = mass times of velocity
momentum =mv
Momentum is characterizes as the intensity of a body's which is in motion.
As momentum depends both on velocity and the direction of the body's motion, it is quantified by "mass velocity."
The word "momentum" is frequently used in sports. A squad which is moving front and has momentum which is difficult to stop. A team that is genuine moving forward and charging momentum will be challenging to stop. A physics phrase, momentum tells us the amount of motion that an item has.
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What is Newton's formula used for?.
Newton's formula is used to calculate the acceleration produced in an object, which is subjected to a force.
The acceleration of an object depends upon two factors one is force on the object and the other is mass of the object.
Acceleration = Force/mass
Newton's second law of motion defines the definition of force. Which is time rate of change of momentum of an object is equal to the force exerted by the object. The SI unit of force is Newton, which is equal to kg-m/s². Mathematically
Force(F) = (final momentum - initial momentum)/time
F = (m₂v₂ - m₁v₁)/Δt
F = (ΔmΔv)/Δt
Dimension would be [MLT⁻¹] × [T⁻¹] = [MLT⁻²]
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