Imagine you lift a book from the ground to the top of the table. Does the increase in gravitational potential energy depend on (a) the path of the book? (b) the time it takes to lift the book? (c) the mass of the book? (d) the height of the table? (e) the effort you put into lifting the book? Make sure to explain your reasoning for each. (Note: Does it matter which form of gravitational potential energy you use to answer this question?)

Q: A space module weighs 15 metric tons on surface of Earth. How much work is done in propelling the…

A: Given: Weight of space module on the surface of Earth : F = 15 metric tons The radius of the Earth :…

Q: The three spheres in the figure, with masses mA = 79 g, mg = 9 g, and mc = 18 g, have their centers…

A:

Q: A small asteroid that has a mass of 100 kg is moving at 200 m/s when it is 1660 km above the Moon.…

A:

Q: (a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is…

A: Gravitational potential energy is the energy possessed by an object when its position changes, when…

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 26 cm to a length…

A: The natural length of a spring is 26cm.The work is(W)1= 4J is required to change the length of the…

Q: An object of mass m r = ro 1+cos 0 moves in a parabolic trajectory given by (ro = 12). mk a)…

A:

Q: Remember PE- mgh Solve the probtems below 1. A cart at the top of a 200 m hil has a mass of 60 kg.…

A: Given:Mass, m=60 kgHeight from ground, h=200 m To determine:Gravitational potential energy.

Q: What is the variation of the gravitational potential energy of the Earth in orbit around the Sun…

A:

Q: (a) What is the gravitational potential energy of a two-particle system with masses 6.3 kg and 1.6…

A: Given data:Mass of a particle ( M) = 6.3 kg Mass of second particle (m) = 1.6 kg Distance between…

Q: A bullet is shot straight up from the surface of the Moon (g = 1.62 m) with an initial velocity of…

A: Using conservation of energy : Gain in potential energy = Loss in kinetic energy mgh = 12mv2  m x…

Q: How much gravitational potential energy, in Joules, will an item of 91.75 kg have if it is at a…

A: Given: Mass m = 91.75 kg, Height h = 2.79 m. Required : Gravitational potential energy of the item.…

Q: Calculate the Work = F x d done by gravity that pushes the car down the ramp. Which d (distance) do…

A: Analyze the following figure. The component of the gravitational force that is pushing the car down…

Q: A satellite from the Glonass navigation system weighs 7,350 N on the surface of Earth. How much work…

A:

Q: An artificial satellite orbiting the earth in a very thin atmosphere loses its energy gradually due…

A: The potential energy of the satellite revolving the Earth decreases as it approaches the Earth and…

Q: A crate of mass m = 9.7 kg is pulled up a rough incline with an initial speed of v₁ = 1.43 m/s. The…

A: The mass of the crate is The initial speed of the crate is The pulling force is The angle of…

Q: I performed a lab using a toy car to go down a ramp that was positioned at different heights. For…

A: The work done by the force of gravity on car is calculated by the following equation. Here, m is…

Q: When a 0.25kg ball is suspended from a light 1.2m string, in the attachment below. The string makes…

A: Step 1:Step 2:

Q: There is a Cathedral-of-Learning race in Pittsburgh in which participants run up and down the steps…

A:

Q: A certain satellite has a kinetic energy of 8 billion joules at perigee (The point closest to earth)…

A: Given Data :Kinetic energy at perigee Kinetic energy at perigee According to the work-energy…

Q: A person hikes to the top of Mount Everest, which is 9km at its peak. If the person is 60kg, what is…

A: Given data The Height of the peak is h = 9 km. The mass of the person is m = 60 kg. The…

Q: You decide to climb the stairs on the three floors of NIATE. Let your mass be 72.2 kg, your total…

A: Given data:  Mass (m) = 72.2 kg Height (h) = 10.0 m Time (t) = 5 minutes g = 10.0 m/s2 Required: The…

Q: GMm dr. Find work done by a rocket escaping the gravity field of a planet by integrating a. Show…

A:

Q: Derive an expression for the work required to move an Earth satellite of mass m from a circular…

A:

Q: I performed a lab using a toy car to go down a ramp that was positioned at different heights. For…

A: Given data: The mass of the car is m=0.56 kg The height of the ramp is d=0.4 m Write the…

Q: Question   a) A satellite of mass m = 3.6kg orbits the Earth 300km ab ove the Earth's surface. How…

A: Given, A satellite of mass m=3.6kg orbits in a radius of 300km above the Earth's surface.

Q: A 45- kg object is lifted 2.7 m from the floor to a table . What is the object's gravitational…

A: Given data The mass of the object is m = 45 kg. The height of the table from the floor is given as…

Q: please help me with this question:  The spring in a pinball machine has a spring constant of 36N/m.…

A: Given: mass of pinball, m=25 g=25×10-3 kg Spring force constant, k=36 N/m Tilt angle of machine,…

Q: According to the work-energy theorem, the work done on an object (or system). If the only change in…

A:

Q: A mass of 8.9 kg is suspended 8 m above the earth. a) What is the potential energy (in J) of the…

A: Potential energy of an object is the energy it stored due to its height. Kinetic energy is the…

Q: If a girl with a mass 49kg fell out of 20th story skyscrapers with 6 meters each floor. What is the…

A: Required :: (a) Potential energy before the girl fell. (b) Acceleration of the car, (c) Weight of…

Q: A 2-kg block is tlirown upward from a point 20m above Earth's surface. At what height above Earth's…

A: Formula of gravitational potential energy is as follows: U=mgh…

Q: (1) Suppose you lift a stone that has a mass of 5.5 kilograms off the floor onto a shelf that is 1.5…

A: Given data:  Mass (m) = 5.5 kg Height (h) = 1.5 m Required: The work done (W)

Q: A variable force of 7x-2 pounds moves an object along a straight line when it is x feet from the…

A: Solution

Q: In the case of a projectile with air resistance that is linearly proportional to velocity. Find the…

A:

Q: .Show that the components of the force on m2 due to m1 are: Gm1m2x Fx (x²+y²+z²)7 Gm,mży • Fy 3…

A: Part 1. The magnitude of position r will be: Gravitational potential energy = The gravitational…

Q: A lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in…

A: Given the mass of the module on earth m=12000 Kg This mass remains same at moon too. The work done…

Q: See image attached. Thanks!

A:

Q: A 1.029 km diameter asteroid will make a crater about 10 km in diameter. Let the asteroid have a…

A: Determine the volume of the asteroid.

Q: A satellite of mass 500 kg us in an approximately cultist orbit around Earth with a period of 1.5…

A:

Q: If a green particle (8 gm) is equally separated by a distance (d = 5 m) from two particle (A = 4 kg…

A:

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.