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? c) How fast must a 6.0-kg cat run to have a kinetic energy of

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: 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 spring is suspended in the ceiling. If the spring has a constant of 200 N/m and it stretches 1.2…

A:

Q: 16. A diesel-powered crane (mc = 2.93 x 10° kg) is lifting a heavy block of concrete mb = 8.44 x 104…

A:

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

A:

Q: The students is given 130 cm long ideal spring whose unstretched position is at x=0.00 cm. A student…

A: Spring constant, k=41.1 N/m xi=22.2 cm = 0.222 m xf=30.5 cm =0.305 m

Q: A pendulum is swinging back and forth in periodic motion. At the highest point (the moment that the…

A: Kinetic energy will be 2.0 J when the gravitational potential energy is 1.0J.

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: 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 spring that has a spring constant of k = 221.0 N/m is oriented vertically, with one end on the…

A: An object is said to be in equilibrium when there is no unbalanced force acting. All the forces…

Q: A 3.49-kg box placed against a horizontal spring with a force constant ofk= 228.7 N/m compresses the…

A:

Q: On a frictionless surface, a 300 g block is placed on the end of a 10 cm compressed spring. The…

A: Given: The mass of the object is 300 g. The compression in the spring is 10 cm. The spring constant…

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: The spring in a retractable ballpoint pen is 1.8 cm long, with a 260 N/m spring constant. When the…

A: Given data K=260 N/mxi=1 mmxf=6 mm

Q: block of mass 3.40 kg is placed against a horizontal spring of constant k = 855 N/m and pushed so…

A:

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 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: 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: A 500 kg block is moving @ vo = 6.00 m/s along a frictionless Horizontal surface toward a spring…

A:

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

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

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Q: What is the elastic potential energy of the block-spring system (in J)? J=? If the block is now…

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Q: Brakes on a car apply a constant force when applied. If av700 kg car is traveling at 20 m/s and…

A:

Q: A 1 kg block is pushed with constant force along a horizontal, frictionless track for a period of 10…

A: Given Data : The mass of the block is given as m = 1Kg. The initial velocity of the block is given…

Q: An ideal spring has a spring constant k = 25.6 N/m. What is the amount of work that must be done to…

A: Given Spring constant k=25.6N/m Distance stretched x=0.520m

Q: a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What…

A:

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

A:

Q: The force constant of a spring is 100 N/m, the spring was compressed 4.00 cm and was then released…

A: The ball's speed when it leaves the spring is equal to the speed of the ball at equilibrium. k= 100…

Q: Fx versus position x fo

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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: A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with…

A: Free body diagram :

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

A:

Q: A farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is hy =…

A: Given:The depth of the well is 9.5 m. The force is 59.5 N. The total mass =mb+mw=3.1 kg

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.