An object is attached to a vertical spring and slowly lowered to its equilibrium position. This stretches the spring by an amount d. If the same object is attached to the same vertical spring but permitted to fall instead, through what maximum distance does it stretch the spring?

Q: CALC Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is…

A: We are aware that the force Fx=kx-bx2+cx3 operating along the x-axis with an x-component.K has a…

Q: I find a spring that is labeled "80 N/m", but it is actually 3.5 inches long. I fasten a beam…

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Q: A block attached to a horizontal spring with a spring constant k = 100 N/m is displaced to x = +6 cm…

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Q: Under some circumstances when two parallel springs, with constants k1 and k2, support a single mass,…

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Q: A 0.500 kg mass is hung from a vertical spring which then stretches by 10.5 cm. (a) What is the…

A: Given, Hang mass m = 0.5 Kg x = 10.5 cm = 0.105 m   We know the expression for force on spring  F=kx…

Q: A spring is stretched 5 cm. What happens to its elastic potential energy if it is stretched 10 cm.…

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Q: Four people enter a 2,200 kg car and discover that this compress the car's springs by an additional…

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Q: (a) Find the magnitude of the force required to compress the spring by 4.10 cm from its unstretched…

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A: Given data The horizontal inclination of the ball is θh = 5°. The vertical inclination of the ball…

Q: A spring is stretched vertically by 0.50 meters when a 15 kg mass is hung from the spring and the…

A: mass = 15 kg stretching in spring = 0.5 m

Q: Hooke's law describes a certain light spring of unstretched length 38.0 cm. When one end is attached…

A: Given data: Unstretched length, L1=38.0 cm Length of the spring, L2=41.50 cm Mass of the object,…

Q: It takes a force of 2N to compress a spring by 2cm from equilibrium position.  What is the magnitude…

A: Given -          force req. for compression = 2N           distance moved during compression = 2 cm

Q: How long is the spring when a 3.0 kg mass is suspended from it?

A: Solution:Given:m1 = first mass attached to spring = 1.7 kgm2 = second mass attached to spring = 3.0…

Q: I attach a metal block to a vertical spring and it stretches by 6 cm. If I replace the block with…

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Q: A spring 0.2 m long extends 0.001 m when a mass of 72 kg is hung from it.  How far will a similar…

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Q: Two springs are connected each other and suspended vertically. To the bottom one, a body of mass .2…

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Q: A wire of length 2 m and radius 0.1 mm stretched by applying a stress of 3 x 10^7 N/m² produces…

A: Strain energy.

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Q: A 69 kg man is attached to two of bungee cord in SERIES with spring constant for bungee cord A and B…

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Q: In a car's suspension system, each wheel is connected to a vertical spring; these springs absorb…

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Q: A 15.0 kg crate is supported by a spring 1.) attached to the ceiling and a cable attached to the…

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Q: The springs of a pickup truck act like a single spring with a force constant of k = 1.15 × 105 N/m…

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Q: A spring AB of natural length 0.5 m and modulus of elasticity 25 N is fixed at A. The other end is…

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Q: A spring 1.50 m long with force constant 442 N/m is hung from the ceiling of an elevator, and a…

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Q: A block suspended by spring stretches a spring by some amount X. If the same block is suspended from…

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Q: When a force of 10N is applied to a spring that is elongated by 4cm, what is the elongation that…

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Q: A 50 cm long spring with spring constant 302 N/m has a mass 1.4 kg attached to it, and it can…

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Q: The springs of a pickup truck act like a single spring with a force constant of k = 1.15 × 105 N/m.…

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Q: A 1.1 kg object is suspended from a vertical sprinkler spring cost and is 190 N/m. (A)find  the…

A: Mass, m = 1.1 kg k = 190 N/m Additional distance of 0.19 m.

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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.