a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What should be the force constant (spring constant) of this spring? b) A very light ideal spring having a spring constant (force constant) of 8.2 N/cm is used to lift a 2.2-kg tool with an upward acceleration of 3.25 m/s2. If the spring has negligible length when it us not stretched, how long is it while it is pulling the tool upward

Q: What is the total mechanical energy of this box-spring system

A: Total mechanical energy is 16.25 Joules. Explanation is in next step.

Q: In the figure provided, a 63.6 kg woman is running at a 16.0 kg sled at a speed of 12.1 m/s. After…

A: Conservation of Momentum: It states that the total momentum of an isolated system of objects is…

Q: A box and rest is compressed into centimeters. A spring with elastic constant K. It is released and…

A: According to conservation of energy, energy cannot be destroyed nor be created.

Q: A 5 kilogram ball compresses a 0.4 m spring and is then freed from rest. It falls from a…

A: The ball of mass 5 kg is initially held against a spring at rest, compressed to a distance of 0.4 m,…

Q: What is the spring constant of the spring in N/m?

A:

Q: A 50 g toy spring with a spring constant of 150 N/m is compressed 3.0 cm. How much energy is stored…

A: mass of toy = 50 g spring constant = 150 N/m compression = 3 cm

Q: A 15 N force is use to compress a spring constant k= 500 N/m. What distance is the spring…

A: Given: Force is used to compress a spring F = 15 N Spring constant K = 500 N/m

Q: The figure shows an 8.2 kg stone at rest on a spring. The spring is compressed 8.3 cm by the stone.…

A: Given : m = 8.2 kg x = 8.3 cm = 0.083 m d = 32 cm = 0.32 m

Q: A 250 gram block is dropped from rest at a height of 1.2m onto a relaxed vertical spring that has a…

A: In this question since no energy is lost and all the potential energy of the block is converted into…

Q: Your parents are trying to find things to do for your younger brother who is 8 yrs old. They buy a…

A: mass (m) = 45 kg height of platform above trampoline (h) = 2 m initial velocity (v) = 3 msApplied…

Q: A moving 4.50 kg block collides with a horizontal spring whose spring constant is 447 N/m. ellle The…

A: Given Mass of the block (m) = 4.50 kgSpring constant (k)  = 447 N/m

Q: An archer's bow can be treated as a spring with k = 2740 N/m. If the bow is pulled back a distance…

A: Here is the step-by-step explanationStep 1: Use Formula:First, we need to find out the potential…

Q: As a 1.5×104 kg k g jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it…

A: Given: Mass of the plane (m) =1.5×104 kg spring constant (k) = 5.8×104 N/m e = 28 m

Q: If it requires 6.0 J of work to stretch a particular spring by 2.0 cm from its equilibrium length,…

A: Given Data : The work required to stretch the spring by 2cm is given as W1 = 6.0J. The distance by…

Q: A 4.9 kg car initially moving at 9.9 m/s at a height of 4.1 m encounters a hill of height 6.7…

A:

Q: A 43-cm-long vertical spring has one end fixed on the floor. Placing a 2 kg physics textbook on the…

A: It is given that

Q: A 0.45 kg box approaches the ramp at an unknown velocity. It travels up the 0.04 meters high ramp…

A:

Q: compressed 3.0 cm. How far must you compress a spring with twice the spring constant to store the…

A: compression in 1st  spring     x1 = 3.0 cm = 3.0 cm

Q: A 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

Q: A 320 g object is sitting on a vertical spring that is compressed 4.1 cm from its equilibrium…

A: As the object is sitting on the vertical spring is compressed  x = 4.1 cm = 4.1 *10-2 m initial. So…

Q: The figure shows an 8.4 kg stone at rest on a spring. The spring is compressed 10 cm by the stone.…

A:

Q: A spring has a spring stiffness constant k of 90.0 N/m. - How much must this spring be compressed…

A:

Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

A:

Q: A spring with a spring constant of 2130 N/m is compressed 0.166 m from its equilibrium position with…

A: The conservation of energy is , 12kx2=12mv2+mgh

Q: The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 8.9 cm by the stone.…

A:

Q: Imagine a spring that doesn't follow Hooke's Law, but instead requires a force…

A:

Q: A block of mass 2.80 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so…

A: Potential energy stored in string  U = 0.5 kx2. where k is spring constant X is distance from…

Q: A 250 gram block is dropped from rest at a height of 1.2m onto a relaxed vertical spring that has a…

A:

Q: Fx versus position x fo

A:

Q: You have been hired to design a spring-launched roller coaster that will carry two passengers per…

A: It is given that: Distance up the hill: S1=10 mDistance down the hill: S2=20 mSpring compressed:…

Q: Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a…

A:

Q: You have been hired to design a spring-launched roller coaster that will carry two passengers per…

A: So we have given a spring-launched roller coasterCar goes up to 10 m high then down to lowest point…

Q: You have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up…

A: The mass of the block = 0.2 kgThe spring constant = k N/mSpring is compressed by 0.3 mpotential…

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.