A certain spring has 14.0 J of elastic potential energy stored when compressed 0.26 m. The spring is now cut into four equal pieces. How much elastic potential energy is stored in one piece when compressed 0.30 m?

Q: A particle moves in one dimension (along the x-axis), where the potential energy is given by the…

A: The potential energy of the particle moving in one dimension is given as, Ux=Ax2+Bx Here, the…

Q: A spring with a spring constant of 92.0 N/m is compressed 2.80 cm. How much elastic potential energy…

A: Given: Spring constant, k=92 N/m Compression distance, x=2.8 cm=0.028 m

Q: I have another solution using energy conservation where the gravitational potential energy is…

A: Solution: Given: m1 = mass of block 1 = 2.0 kg m2 = mass of block 2 = 3.0 kg X1 = extension in the…

Q: A 388 g mass is hung on the spring assembly shown below. The mass stretches the springs to…

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Q: A vertical spring with elastic constant 95 N/m is compressed by 25 cm, and an object of mass 350 g…

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Q: A 1.42-kg box rests atop a massless vertical spring with  k = 3960 N/m  that has been compressed by…

A: Given data:  Mass (m) = 1.42 kg Spring constant (k) = 3960 N/m Comparison in spring (x) = 13.5 cm =…

Q: A 1.7-kg block is hanging stationary from the end of a vertical spring that is attached to the…

A: Given -             m1 = 1.7 kg            Elastic potential energy of system when 1.7 kg block…

Q: A 3.70 kgkg block of ice is placed against one end of a horizontal spring that is fixed on the other…

A: Given:-  The mass of the block is m = 3.70 kg  The spring constant of the spring is k = 190 N/m  The…

Q: 14. It is found that a force of 18 N is required to stretch a spring by 0.300 meters from its…

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Q: The Slingshot is a ride for two people. It consists of a single passenger cage, two towers, and two…

A: Given: Height of tower, h= 75 m Distance between towers, d= 34 m Unstretched length, Lo=41 m Spring…

Q: A system contains an ideal horizontal spring, with an un-stretched length of 8 N/cm. Calculate the…

A: Write the given values with the suitable variables. x1=29 cm=0.29 mx2=32 cm=0.32 mk=8 N/cm=800 N/m…

Q: We are preparing to project a rubber arrow with a mass of 7.8 g with a toy using a compression…

A: Given: The mass of the arrow is 7.8 g. The spring constant is 3.5x102N/m. The compression in the…

Q: A spring of constant k = 19.6 N/m is compressed from its equilibrium position by 28.1 cm. How much…

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Q: A block of 3.00kg mass is placed against the horizontal spring of constant k = 875 N/m and pushed…

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Q: The potential energy of an archer's bow is given by U(x) = bx2 + cx3. The distance at which the…

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Q: A block of mass 3.60 kg is placed against a horizontal spring of constant k = 825 N/m and pushed so…

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Q: 2. A linear spring is shown to be at its horizontal and vertical configurations, which is held by…

A: We have a linear spring with horizontal and vertical components of lengths l1 and l2 respectively…

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 865 N/m and pushed so…

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Q: A block of mass 2.60kg is placed against a horizontal spring of constant k = 795 N/m and pushed so…

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Q: A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the…

A: NOTE: As per guidelines, I can solve the first three parts of the problem. If you need help with…

Q: Mr. M (84kg) briefly balances briefly on a pogo stick, causing the spring in the stick to compress…

A: According to Newton's second law of motion, we have the net force applied to an object is equal to…

Q: A block of mass 4.00 kg is placed against a horizontal spring of constant k = 835 N/m and pushed so…

A: Elastic potential energy can be defined as the energy stored when an elastic object is stretched or…

Q: A spring (k = 500 N/m) is placed in a vertical position with its lower end supported by a horizontal…

A: Hooke's law states that the restoring force acting on an object attached to a spring is directly…

Q: A 0.10 kg arrow is pulled back 30 cm against a bowstring. If the force constant of the bow and…

A: (9)Given values:- Mass of arrow,(m)=0.10 kg ----(1) Pulled back length,(x)=30 cm=0.3 m ----(2)…

Q: A block of mass 2.60 kg is placed against a horizontal spring of constant k = 815 N/m and pushed so…

A: Given values -  Mass = m = 2.6 kg  Spring constant = k = 815 N/m Compression = x = 0.06 m

Q: we explained that when a spring is stretched or compressed from its unstretched position, elastic…

A: Given data U=∫0xFdx

Q: An archer draws her bow and stores 34.8 J of elastic potential energy in the bow. She releases the…

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Q: A child bounces on a pogo stick, compressing the spring 0.160.16 m with every bounce. If the…

A: compression (d) = 0.16 m Elastic potential energy (E) = 4343 Joules

Q: A system contains an ideal horizontal spring, with an un-stretched length of 29 cm and a spring…

A: The work done to stretch the spring is equal to elastic potential energy, which is dependent on the…

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 715 N/m and pushed so…

A: We need to calculate the elastic potential energy of the spring. Also, the speed of the block after…

Q: A block of mass 2.80 placed against a horizontal spring of constant k 885 N/m and pushed so the…

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Q: By what factor does Tom need to increase the spring constant to hit his potential energy goal?

A: elastic potential energy stored in a spring of spring constant k when stretched a distance x is…

Q: One end of a spring is attached to a fixed wall while a 0.43-kg block is attached to the other…

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Q: The spring of a toy car is wound by pushing the car backward with an average force of 15 newtons…

A: Given: The average force is given to push the car backward is F = 15 N The distance moved by car is…

Q: The staples inside a stapler are kept in place by a spring with a relaxed length of 0.119 m. If the…

A: SOlution: Given that k = 48 N/m relaxed lenght x0 = 0.119 m extension lenght x = 0.15 m

Q: A moving 2.90 kg block collides with a horizontal spring whose spring constant is 327 N/m.The block…

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Q: heavy block is suspended from a vertical spring. The elastic potential energy stored in the spring…

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Q: A horizontal spring attached to a wall has a force constant of k = 780 N/m. A block of mass m = 1.90…

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Q: need help with finding the last part.  A moving 1.70 kg block collides with a horizontal spring…

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Q: An ideal spring with k = 8 N/m is initially compressed 0.40 m. One end is attached to a wall and the…

A: We will first write an expression relating the initial and final energies of a system under the…

Q: A 3.2 kg block is hanging stationary from the end of a vertical spring that is attached to the…

A: Given that,Mass of block 1 : m1 = 3.2 (kg)Mass of block by which m1 is replaced : m2 = 5.5…

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.