As per the law of conservation of energy, since the work done on the object is equal to m×g×h, the energy gained by the object = m×g×h, which in this case is the potential energy E.
The force acting on the two objects affects the potential energy formula. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in metres.
Similar to this, when a spring is moved away from its equilibrium position, it gains some energy, which we can notice by the stress our hands experience when we stretch it. Potential energy is a type of energy that arises from a change in its position or state, according to our definition.
Let's learn the formula, unit, and examples of potential energy after understanding potential energy and what it means.
m is the mass in kilograms
g is the acceleration due to gravity
h is the height in meters
Potential Energy Unit
Gravitational potential energy has the same units as kinetic energy: kg m2 / s2
Note: All energy has the same units – kg m2 / s2, and is measured using the unit Joule (J).
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how big across is ceres, one of the biggest asteroids
Ceres has a radius of 476 kilometers, which is 1/13 the radius of Earth. If the Earth were the size of a nickel, Ceres would be the size of a poppy.
What is CeresCeres is the dwarf planet in the inner solar system. Ceres is a rock-and-ice object with a diameter of 950 km and is the smallest dwarf planet ever discovered. Ceres' mass is one-third the mass of the asteroid belt between the orbits of Mars and Jupiter. Ceres was discovered by the Italian astronomer Giuseppe Piazzi on January 1, 1801 and was classified as an asteroid at the time, but it was the first asteroid discovered.
As a planet, On August 24, 2006, the International Astronomical Union (IAU) decided to change Ceres to a "dwarf planet" along with Pluto, Sedna, and Makemake in the Kuiper belt.
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What is rate Change example?.
The term "rate of change" refers to the pace at which one quantity changes in respect to another. Rate of Change = Change of Y = Change of X = Change of Distance = Change of Time = 1608042=802=401.
How would one define pace of change?How rapidly something changes over time is referred to as its rate of change, or ROC. Therefore, rather than the size of each change individually, it is the rate—or the acceleration or slowdown of changes. In finance, rate of change is employed to comprehend price returns and spot trend momentum.
A line's slope, rise over run, or change in over change in represent the rate of change for that line. A table's two points or a graph's slope triangle can be used to compute the slope.
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a ___ is a device that converts electrical energy into a linear force.
A solenoid is an electrical output device that converts electrical energy into a linear mechanical force.
A solenoid is a device that uses an electromagnet made of a wire coil to transform electrical energy into mechanical energy. Electric current is used to generate a magnetic field, which is then used to generate linear motion in the device.
A solenoid functions by creating an electromagnetic field around an armature, which is a movable core. The electromagnetic field causes that armature to move, and as it does, it opens and closes valves or switches, converting electrical energy into mechanical motion and force.
Electronic paintball markers, pinball machines, matrix printers, and fuel injectors are among the devices that frequently use electromechanical solenoids. Solenoids are even present in some residential doorbells, wherein the armature strikes metal chime bars while the coil is electrified.
What is electrical energy?
Electrical energy is the force that results from the transfer of electrons between two points. Current or electricity is the flow of charged particles along or through a medium such as a wire. The basic unit of electrical energy is the joule, also known as the watt-second. Electric energy is used in things like lightning, batteries, and even electric eels.
What is mechanical energy?
Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores as a result of its position. Renewable energy is also fueled by mechanical energy.
The combination of an object's stored energy (potential energy) and its kinetic energy (moving energy) results in mechanical energy. For example, turning a doorknob, breathing in and out, and hammering a nail.
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The complete question is-
A ___ is a device that converts electrical energy into a linear mechanical force.
a ___ is a device that converts electrical energy into a linear force.
A solenoid is a device that converts electrical energy into a linear mechanical force.
How do linear solenoids function?With the assist of a plunger with an axial stroke which may move in either a push or a pull motion, linear solenoids transmit electrical energy into mechanical power. These transducers are composed of a coil of wire that is occasionally coiled around an iron core, and when a voltage is applied, it creates a magnetic field.
What triggers a magnetic field to be established by a solenoid?A long coil of wire with various turns is what constitutes a solenoid. It develops an internal magnetic field that is almost perfectly uniform when a current flows through it. Solenoids are widely applied as switches because they can transfer electric current into mechanical action. A solenoid's magnetic field is directly proportional to the product of the current that flows through the solenoid and the voltage applied to it. The product of the currents flowing around a solenoid and the number of spins per unit length of the solenoid generates the magnetic field in the core of the solenoid.
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A ___ is a device that converts electrical energy into a linear mechanical force.
How does a vibrating electric charge produce an electromagnetic wave?
Answer:
when an electrically charged particle vibrates. This causes a vibrating electric field, which in turn creates a vibrating magnetic field.
Explanation:
An electromagnetic wave begins when an electrically charged particle vibrates. This causes a vibrating electric field, which in turn creates a vibrating magnetic field. The two vibrating fields together form an electromagnetic wave.
Object 1 has a charge of -2. 3 x 10-6 c and object 2 has a charge of -4. 2 x 10-6 c. Calculate the electrostatic force between the two objects if they are 0. 099 m apart.
According to the question,the electrostatic force between object 1 and object 2 is -1.35 x 10-4 N.
What is the electrostatic ?Electrostatic is a branch of physics that deals with the study of electric charges at rest. It focuses on the forces that are generated between particles that are charged due to the presence of electrical fields. It is also known as the study of static electricity. Electrostatic studies the behavior of charged objects in an electric field, and the forces exerted on them.
The electrostatic force between two objects can be calculated using Coulomb's law which states that the force between two objects is proportional to the product of their charges and inversely proportional to the square of the distance between them.
Using this law, the electrostatic force between object 1 and object 2 can be calculated using the following equation:
F = (kQ1Q2)/d2
Where k is the Coulomb's constant (8.99 x 109 N.m2/C2), Q1 and Q2 are the charges of objects 1 and 2, respectively, and d is the distance between the two objects.
In this case, the force between the two objects is:
F = (8.99 x 109 N.m2/C2)(-2.3 x 10-6 C)(-4.2 x 10-6 C)/(0.099 m)2
F = -1.35 x 10-4 N
Therefore, the electrostatic force between object 1 and object 2 is -1.35 x 10-4 N.
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In quantum computing, what is the basic unit of information?
The qubit, as opposed to the traditional bit, serves as the fundamental unit of information in quantum computing. This alternative system's key feature is that it allows for the coherent juxtaposition of ones and zeros.
What constitutes a quantum computer's fundamental unit?A quantum bit, or qubit, is the binary digits or bit in classical computing's quantum counterpart. A qubit is the fundamental informational building block of a quantum computer, just as a bit is in a classical one.
What makes quantum information so crucial?Making better descisions is made possible by quantum computing's ability to process massive amounts of data, as shown in applications like fraud detection, facial recognition, and object recognition.
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A particle moves 3. 0 m along a circle of radius 1. 5 m. Through what angle does it rotates?.
The rotation angle is 114.65° or 2.00 rad.
Circular motion is described as the motion of an object rotating along a circular orbit. Circular motion can be either uniform or uneven. In uniform circular motion, the angular velocity and speed of rotation are constant, but in nonuniform motion, the rotation speed is constantly changing.
The rotation angle is 114.65° or 2.00 rad. The arc length is given by the formula:
L=[tex]\frac{phi}{360} * 2pir[/tex]
set value
r=1.5m, L=3m
Phi, angle = 114.65°
So the angle to rotate is 114.65° or 2.00 radians.
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At which angle torque is zero?
Answer:
Torque is zero when the angle between the force and the lever arm is [tex]0^{\circ}[/tex] or [tex]180^{\circ}[/tex].
Explanation:
Assume that the force in this question is applied on a lever. Let [tex]\theta[/tex] denote the angle between the force and the lever arm, and let [tex]r[/tex] denote the length of the lever arm.
The equation for the torque [tex]\tau[/tex] that this force [tex]F[/tex] exerts on the lever would be [tex]\tau = F\, r\, \sin(\theta)[/tex].
If [tex]0 \le \theta \le 180^{\circ}[/tex], [tex]\sin(\theta) = 0[/tex] either when [tex]\theta = 0^{\circ}[/tex] or [tex]\theta = 180^{\circ}[/tex].
Therefore, as long as neither the force [tex]F[/tex] nor the distance [tex]r[/tex] is zero, torque would be zero only if the angle [tex]\theta[/tex] is either [tex]0^{\circ}[/tex] or [tex]180^{\circ}[/tex].
Refer to the diagram attached. In torque calculations in general, [tex]\theta[/tex] is the angle between:
the force, andthe line joining the axis of rotation and the point where the force is applied.In the general case [tex]r[/tex] would measure the distance between this point and the axis of rotation.
Likewise, using the equation [tex]\tau = F\, r\, \sin(\theta)[/tex], torque would be zero when the angle [tex]\theta[/tex] is either [tex]0^{\circ}[/tex] or [tex]180^{\circ}[/tex].
How many grams is a mole?.
The carbon-12 isotope's theoretical atomic mass is given here (6 protons and 6 neutrons). As a result, 1 mole of carbon is exactly equal to the atomic mass or weight of carbon, which is 12 grams.
Pure carbon(^-12) have 12 grams weigh exactly one mole, which is equal to 6.022 x 10^23 atoms in that amount of carbon. • Avogadro's Number is the number of particles in a mole (6.0221421 x 10^23).
To translate molecular weights into grams, there are three processes.
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Why a balloon expands as you blow into it.
A balloon expands as you blow into it because of the increase in pressure inside the balloon caused by the air you are blowing into it. When you blow air into a balloon, the air molecules inside the balloon are pushed closer together, increasing the pressure inside the balloon. As the pressure inside the balloon increases, the balloon stretches and expands to accommodate the extra air.
The balloon is made of a flexible material, such as rubber or latex, which allows it to stretch and expand as the pressure inside it increases. The balloon's material has elastic properties, which means that it returns to its original shape when the pressure is released.
The process of blowing air into a balloon can be compared to filling a tire with air. As you inflate a tire with a pump, the air molecules inside the tire are pushed closer together, increasing the pressure inside the tire. This causes the tire to expand and become larger, until it reaches the desired pressure.
In summary, a balloon expands as you blow into it because of the increase in pressure inside the balloon caused by the air you are blowing into it. The balloon's material has elastic properties, which allows it to stretch and expand as the pressure inside it increases.
What is magnitude of a vector minus B vector?.
The magnitude of a vector minus another vector B is not defined, as vectors have both magnitude and direction and cannot be subtracted from one another.
Vector Subtraction MagnitudeThe magnitude of a vector minus another vector B is not defined, as vectors have both magnitude and direction and cannot be subtracted from one another. If you would like to find the difference between two vectors, you can subtract their components (x,y,z) individually.
Also you can find the distance between them by doing vector subtraction and then finding the magnitude of the resultant vector.
To describe the difference between two vectors A and B, you can subtract their individual components. For example, if vector A has components (x1, y1, z1) and vector B has components (x2, y2, z2), the difference between the two vectors would be described by the following:
(x1 - x2, y1 - y2, z1 - z2)
This resulting vector is often referred as A-B.
Alternatively, you can also find the distance between two vectors A and B by taking the Euclidean distance between their tail points, which is the square root of the sum of the squares of the differences of the x, y, and z components. This is known as the magnitude of the vector A-B.
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if the rms value is 125 volts, what is the peak value?
The peak value is 176.77 volts. The crest value is another name for the peak value.
What does RMS value mean?The stable Potential Difference value that would produce the same amount of heat in a given resistance in a given time as A.C. voltage when maintained across the same resistance for the same time is known as the root mean square, or R.M.S. value, of Alternating voltage.
How can one determine peak value?Impedance and switching speed are increased to reach the peak voltage. Peak voltage is calculated along the horizontal axis, at the so-called crest of the waveform at the top of the waveform.
A positive peak value is what?The waveform thus reaches a positive peak value at 90 degrees and a negative peak value at 270 degrees in one full cycle. The peak value of an alternating waveform is the highest value it can reach in a single cycle.
Given:
RMS value = 125 volts
Peak value = RMS value × √2
Peak value = 125 × √2
Peak value = 176.77 volts
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Two charged objects are held 1 meter apart from each other. Then they are moved to 3 meters apart. How are the electrostatic force and gravitational force between them affected by this move?.
If two charged objects are moved from being one meter apart to being 3 meters apart. Electrostatic force and gravitational force will be weak.
If the distance between two charged objects is doubled and the magnitude of one charge is doubled, what happens to the force between the two?The square of the distance between the two charges has a negative square root effect on the force's magnitude. The attraction or repulsion therefore weakens and drops to one-fourth of its initial value when the distance between the two charges is doubled.
According to Coulomb's law, the force exerted by two charged particles is directly proportional to the sum of their charges and inversely proportional to their distance from one another. As a result, doubling the distance would result in a 4-fold reduction in force.
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PT 1
The arm of a crane at a construction site is
20.0 m long, and it makes an angle of 15.0* with the horizontal. Assume that the maximum load the crane can handle is limited
by the amount of torque the load produces
around the base of the arm.
What maximum torque can the crane withstand if the maximum load the crane can handle is 864 N?
Answer in units of N.
PT 2
What is the maximum load for this crane at
an angle of 29.2* with the horizontal?
Answer in units of N.
(a) The maximum torque the crane can withstand is 16,691.2 N m.
(b) The maximum load of the crane is 956.1 N.
What is the maximum torque the crane withstand
The maximum torque the crane can withstand if the maximum load the crane can handle is 864 N is calculated as follows;
τ = rF x cosθ
where;
r is the length of the arm of the craneF is the load the crane can handleθ is the angle of inclination of the crane armThe maximum torque the crane can withstand is calculated as follows;
τ = 20 m x 864 N x cos (15)
τ = 16,691.2 Nm
The maximum load of the crane is calculated as follows;
F = τ / rcosθ
F = ( 16691.2 ) / ( 20 x cos 29.2 )
F = 956.1 N
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530) a grating with 1555 lines/cm is illuminated with light of wavelength 565 nm. what is the highest order number that can be observed with this grating?
(hint: sin theta can never be greater than 1 for a diffraction grating)
The highest order number that can be observed with a grating is determined by the equation:
mλ = d(sin θ + sin θi)
where m is the order number, λ is the wavelength of light, d is the spacing between the lines on the grating, θ is the angle of incidence, and θi is the angle of diffraction.
Given that the grating has 1555 lines/cm, and the wavelength of light is 565 nm, we can use this equation to find the highest order number:
mλ = d(sin θ + sin θi)
m = d / λ
m = 1555 lines/cm / (565 nm/1cm)
m = 2.76
The highest order number that can be observed with this grating is 2.76. It's noteworthy that the order number is a positive number and it will not be a whole number, this means that it's not possible to observe the order number exactly 2.76 but it's the highest possible number that can be observed.
Answer:
11
Explanation above
A car accelerate uniformly from ret and reache a peed of 28. 8 m/ in 5. 7. The diameter of a tire i 50. 6 cm. Find the number of revolution the tire make during thi motion, auming no lipping
The car accelerates uniformly, the tire will not slip and it will make 1.051 revolutions in the given time.
What is the motion?Motion is the act of changing position or direction. It is a phenomenon that can be observed in everyday life, such as the movement of a person walking, the waving of a hand, or the rotation of the Earth. Motion is also seen in the physical world, where objects move in different directions and speeds.
The number of revolutions the tire makes during this motion can be calculated by dividing the distance travelled by the circumference of the tire.
Distance Travelled = 28.8 m/s x 5.7 s = 165.76 m
Circumference of the tire = π x Diameter of the tire = 3.14 x 50.6 cm = 158.3 cm
Number of revolutions = Distance Travelled / Circumference of the tire = 165.76 m / 158.3 cm = 1.051 revolutions
Since the car accelerates uniformly, the tire will not slip and it will make 1.051 revolutions in the given time.
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What is the kinetic energy of a 45 kg object moving at 13 m sec?.
The Kinetic Energy for any of the object is 3802.5 J.
An object's kinetic energy grows as its mass does. The speed of the object is given by v. The relationship shown above shows that the kinetic energy of an item is directly proportional to the product of its mass and velocity.
Possible justification: Because of the strong relationship between kinetic energy and speed, an object's kinetic energy rises as its speed rises. Kinetic energy and speed have a nonlinear (square) proportional relationship (KE v2). 1.
The kinetic energy of an item increases by a factor of four as its speed doubles. 2. The kinetic energy of the object decreases by a factor of 4 as the object's speed is halved.
Here consider 45 kg = mass
v= 13 m/s
Here Kinetic Energy = ?
KE = 1/2mv^2
KE = 1/2(45)(13)^2
KE = 1/2(45)(169)
KE = 1/2(7605)
KE = 7605/2
KE = 3802.5 J
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What methods can be used to demonstrate thermal energy transfers?.
Conduction, and radiation are the two mechanisms through which thermal energy is transferred. Conduction is the process of transferring heat energy from molecules in close proximity to one another.
Conduction is the method through which heat is transferred through solids without the actual particles moving. Convection is the process of heat transfer in fluids (liquids and gases) accompanied by actual particle movement.
Basically, heat transmission takes place when a body's temperature rises and falls. Three mechanisms, namely conduction, convection, and radiation, may be used to transport heat from one body to another. We need to understand the three ways that energy is transferred: convection, radiation, and conduction.
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Why does momentum never change?.
The conservation of momentum principle states that the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but only changed by the action of forces as described by Newton's laws of motion.
What is momentum?The quantity of motion of the body is defined as momentum. It is measured by "mass velocity," because momentum depends on velocity, and it also depends on the direction of the body's motion. Momentum is a vector quantity because velocity is a vector and mass is a scalar quantity. Momentum equals mass multiplied by velocity. Momentum is defined as "mass moving." Momentum can be thought of as a body's "power" when it is moving, indicating how much force it can exert on another body. A bowling ball (large mass) moving slowly (low velocity), for example, can have the same momentum as a baseball (small mass) thrown quickly (high velocity).
Here,
According to the conservation of momentum principle, the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but is only changed by the action of forces as described by Newton's laws of motion.
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What is the magnitude of 4i 3j?.
The magnitude of 4i 3j is 5 unit.
The definition of magnitude is the amount of a quantity. For example, the magnitude can be used to describe the difference in speed between a car and a bicycle. Additionally, it can be used to describe how far an object has traveled or how much of an object is represented by its magnitude.
To find the magnitude of a vector, we can use this following formula:
∥a∥ = √ ( x² + y² )
In this case, we are given that:
X = 4, Y = 3
Thus, the magnitude of the vector is:
∥a∥ = √ (4² + 3²)
∥a∥ = √25
∥a∥ = 5
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The graph shows the speed of a person riding a bicycle through a city. Which point (A, B, or C) on the graph is a place where the bicycle has speed but no acceleration? How do you know?
Answer:
Point C
Explanation:
At point c, he is moving at constant velocity.
change in velocity is zero, this acceleration is zero.
What is the angular momentum vector in an orbital motion Mcq?.
Angular momentum is a vector quantity whose direction is perpendicular to the plane of revolution.
What is angular momentum?Angular momentum is the rotational equivalent of linear momentum in physics. It is an important physical quantity because it is a conserved quantity—in a closed system, the total angular momentum remains constant. Both the direction and magnitude of angular momentum are conserved. The property of any rotating object given by moment of inertia times angular velocity is defined as angular momentum. It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. An object's angular momentum is the product of its rotational inertia and angular velocity. The angular velocity of an object is the rate at which it turns.
Here,
Angular momentum is a vector quantity with a perpendicular direction to the plane of revolution.
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Which drawing below shows the direction in which net energy is transferred as heat between an ice cube and the freezer walls when the temperature of both is −10°C? Explain your answer.
The image A shows the direction of the transfer of heat from the ice to the walls of the freezer.
What is heat transfer?As we approach the question that we here, the first law of thermodynamics would come to our minds, we know that energy can not be created nor destroyed but we can be able to convert the energy from one form to the other.
In this case, we know that the temperature of the walls of the refrigerator is about −10°C while the ice is at a temperature of about 0°C. This means that the ice would have a temperature that is higher and then the walls of the fridge.
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How does lower latency benefit the users Brainly?.
Lower latency is the less delay during the journey of an object that's why it is always beneficial for a user.
If one have to cover a distance of 300 km, then he/she will chose a car of maximum speed 100 kmph, over the car of speed 50 kmph. Because car with more speed will make him/her able to reach the destination in 3 hours whereas the car with slower speed will take 6 hours. But if consider the factor of latency, that is the less delay in the path, than slower car can beats the faster car if it experiences the less delay or latency. There are various reason of delay, like traffic, congestion of the way bad condition of road, operational time of car, etc. If faster car go with a ling, and congested route with traffic whereas slower car go with the smooth route, then slower car can and does beat the faster car. That's why latency is more important than speed.
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Find the density of a box that has a mass of 22 g and a volume of 45 cm3.
Is melting point an intensive or extensive physical property?
Answer: Answer below :)
Explanation:
No, it is an intensive property: the melting (and boiling) point of water does not change with the amount of water
A person pulls a 2.6-kg crate 36 m along a horizontal floor by a constant force Fp= 87 N which acts at a 38° angle as shown in Fig. 6-3. The floor is rough and exerts a friction force FFR = 51 N
Determine the total work done by combining each force acting on the crate
The total work done on the crate can be determined by calculating the work done by each force separately and then adding them together.
1. Work done by the applied force Fp = (Fp * cos(theta)) * d
where Fp = 87 N, theta = 38 degrees and d = 36 m
cos(theta) = cos(38) = 0.81915
Work done by Fp = (87 N * 0.81915) * 36 m = 2789.5 J
2. Work done by the friction force FFR = -(FFR * d)
where FFR = 51 N and d = 36 m
Work done by FFR = -(51 N * 36 m) = -1836 J
3. Work done by gravity
Work done by gravity = forcedistancecos(theta)
force of gravity = mg
where m = 2.6 kg and g = 9.8 m/s^2
Work done by gravity = 2.69.836cos(90) = 0 J
4. The total work done is the sum of the work done by each force:
Total work done = work done by Fp + work done by FFR + work done by gravity
Total work done = 2789.5 J + (-1836 J) + 0 J = 953.5 J
The total work done on the crate is 953.5 J.
How do you calculate torque multiplication?.
Torque is calculated using the formula, τ = r × F, where, r is the perpendicular distance, F is the force.
It is also described as the cross product of distance vector and force vector. Mathematically, τ = r × F = r F sinθ, where, θ is the angle between r and F.
For example, a force is applied to a particle free to rotate about a fixed axis. Force is divided into perpendicular and parallel components. Torque is pointed outward from the page and has the magnitude
τ = r F sinθ
Newton-meters, sometimes known as N.m, are the SI units for torque. Although these units are the same as joules, torque isn't considered to be work or energy, therefore N.m should be used instead.
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A cessna 172 plane that is used to transport up to four vip's is 2 km in the air. If the potential energy of the vip plane with three vip's onboard is 860 j, what is the combined mass of the cessna and passengers?.
The combined mass of the Cessna and passengers is 44.9 kg.
What is mass?The quantity of matter in an object is expressed in terms of mass. It is typically measured in kilograms or grams, though other units such as pounds or ounces can also be used. Mass is distinct from weight, which is a measure of the force of gravity acting on an object. Mass is an inherent property of an object and does not depend on the environment or gravity, while weight is affected by gravity and can change depending on location.
The combined mass of the Cessna and passengers can be found by using the equation for potential energy, PE = mgh, where m is the combined mass, g is the h is the height, g is the gravitational acceleration. Rearranging the equation to solve for m, we get m = PE/gh. Plugging in the given values, we get m = 860 J/(2 km x 9.8 m/s2), which equals 44.9 kg. Therefore, the combined mass of the Cessna and passengers is 44.9 kg.
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