A 20.0 g marble is fired vertically upward using a spring gun. The spring must be compressed 16.0 cm, if the marble is to just reach a target 15 m above the marble's position on the compressed spring. What is the spring constant of the spring? (Your result must be in multiplies of N/m and without decimals. Maximum of 1% of error is accepted in your answer. Take g=9.8 m/s 2.)

Q: A mass is oscillating horizontally on a spring. At the locations A, B, C, D, and E, photogates are…

A: Given: The potential energy at A AP.E.=40 J

Q: Homework 7, Problem 6:   A vertical spring has a length of 0.25 m when a 0.225 kg mass hangs from…

A: We have  F1 = m1 g = k(x1) = k(L1 - L0)............(1)                              and  F2 = m2g =…

Q: A 25.0 cm spring stands vertically on the ground, with its lower end secured in a base. A 1.5 Kg…

A: Detailed solution is given below Explanation:

Q: What is the spring constant of a spring (in units of N/m) that requires 3.0 newtons of force to…

A:

Q: Given that the Spring energy is  ½ kx2, where x is the displacement of the spring from its…

A: Given data:  Spring energy (U) = (1/2)kx2 x is displacement, k is spring constant The unit of spring…

Q: A spring is stretched 38 cm beyond its equilibrium length. How much energy has been transferred to…

A: Given that,  Expansion in the spring length, ∆x=38 cm=38×10-2 m Spring constant, k=67.8…

Q: how much would the spring be compressed

A: Given: Mass of the person is m=27 kg Spring constant is k=9150 N/m Note: 1 N=1 kg·m/s2 1 m=100 cm 1…

Q: A projectile fired from the ground follows the trajectory given by the following equation, where v…

A:

Q: A person who weighs 677 N steps onto a spring scale in the bathroom, and the spring compresses by…

A:

Q: A 0.26 kg mass is held at rest against a compressed spring with a spring constant of 191 N/m. When…

A: Mass, m = 0.26 kgSpring constant, k = 191 N/mSpeed of mass, v = 6.9 m/s

Q: 1. A crane released a block of mass m 5.0 kg from a height h of 2.0 m towards a spring with spring…

A:

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A:

Q: A toy gun uses a spring with a force constant of 425 N/m to propel a 14.0 g steel ball. The spring…

A: Given: The force constant of the spring is k = 425 N/m The mass of the steel ball is m = 14 g The…

Q: A 5.75-kg mass stretches a vertical spring 0.5 m. If the spring is stretched an additional 1.0 m and…

A: Given:mass attached to spring, m = 5.75 kgspring elongation at equilibrium, x = 0.5 madditional…

Q: A block of mass m = 1.50 kg is dropped from height h = 46.0 cm onto a spring of spring constant k =…

A:

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: A 0.2 kg block oscillates on the end of the spring with a spring constant of 210 N/m. If the system…

A:

Q: A 5 kg block attached to a spring with a spring constant of 8 N/m oscillates horizontally on a…

A: Mass M =5kg Spring constant K= 8 N/m

Q: A spring is stretched 34.5 cm beyond its equilibrium length. How much energy has been transferred to…

A: Given data:  Stretch in spring (x) = 34.5 cm = 0.345 m Spring constant (k) = 86.8 N/cm = 8680 N/m…

Q: Ignoring the mass of the spring, what is the mass m of the fish?

A:

Q: If a spring is extended by 50 mm with the application of a force of 10N, what is the spring…

A: Extension in spring, x=50 mm⇒50×10-3 m Force applied, F=10 N Let spring constant be k.

Q: Jum The mass of the block depicted in the image is 2.94 kg. The spring has a spring constant of 77.2…

A:

Q: A toy gun uses a spring with a force constant of 425 N/m to propel a 14.0 g steel ball. The spring…

A:

Q: A 1.70-kg mass is attached to a vertical spring with spring constant, k=93.0 N/m and allowed to…

A:

Q: 75-kg block is set into motion by compressing a spring 25 cm from its natural length. The block then…

A:

Q: We will now determine how the 1/3 rule comes about. Consider a spring of mass ms which is attached…

A: Given,

Q: A moving block of mass m=6.38kg collides with a horizontal spring whose spring constant is k=201…

A: Given -          Mass of the block m =6.38 kgspring constant k = 201 N/mcompression of the spring x…

Q: A person pushes on a spring with a force of 900 N. If the spring compresses 3.6 m, what is the…

A:

Q: Starting from rest, a 63-kg person drops a distance of 0.6 m onto an ideal stiff spring of…

A: Given data: Mass m = 63 kg The distance dropped d = 0.6 m Compression in the spring x = 0.09 m

Q: A force of 40.0 N stretches a spring 20.0 cm. Find the spring constant (in .N/m). Show Working…

A: Given data:  Force (F) = 40 N Stretched length (x) = 20 cm = 0.20 m Spring constant (k) =?

Q: An object with a mass of 7.13 kg is attached to the lower end of an ideal spring and lowered…

A: The given values are, m=7.13 kgk=509 N/m

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.