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?

Tom has built a large slingshot, but it is not working quite right. He thinks he can model the slingshot like an ideal spring with a spring constant of 35.0 N/m. When he pulls the slingshot back 0.375 m from a nonstretched position, it just does not launch its payload as far as he wants. His physics professor "helps" by telling him to aim for an elastic potential energy of 17.0 J. Tom decides he just needs elastic bands with a higher spring constant. By what factor does Tom need to increase the spring constant to hit his potential energy goal? factor of spring constant increase: During a follow-up conversation, Tom's physics professor suggests that he should leave the slingshot alone and try pulling the slingshot back further without changing the spring constant. How many times further than before must Tom pull the slingshot back to hit the potential energy goal with the original spring constant? factor of pullback distance increase: In which of the two scenarios does Tom have to pull…

A spring of spring constant k = 12.3 N/m is compressed from it's equilibrium position by 28.1 cm. How much energy is stored in the elastic potential energy of the spring?

A block of mass m = 6.23 kg is attached to a spring that is A F(N) 6. resting on a horizontal, frictionless table. The block is pushed into the spring, compressing it by 5.00 m, and is 4- then released from rest. The spring begins to push the 3. block back toward the equilibrium position at x = 0 m. 2. The graph shows the component of the force (in newtons) x(m) exerted by the spring on the block versus the position of -5 -4 -3 -2 3 4 the block (in meters) relative to equilibrium. Use the graph -2 to answer the questions. -3 -4 -5 How much work W is done by the spring in pushing the -6 block from its initial position at x = -5.00 m to x = 2.31 m? W = J What is the speed v of the block when it reaches x = 2.31 m? U = m/s What is the maximum speed Umax of the block?

Nadia's parents have just bought her a trampoline. She can already reach a height of 1.2 m. If Nadia's mass is 50 kg, determine: a. With the conservation of energy, the speed at which it is thrown through the air to reach the height of 1.2m. b. The elasticity constant of the trampoline if it compresses like a spring, over 0.4 m after Nadia has jumped on it.

A 0.220-kg block resting on a frictionless, horizontal surface is attached to a spring having force constant 83.8 N/m as in the figure below. A horizontal force F causes the spring to stretch at a distance of 5.49 cm from its equilibrium position.   (a) Find the value of F. (Enter the magnitude of the force only.) N(b) What is the total energy stored in the system when the spring is stretched? J(c) Find the magnitude of the acceleration of the block immediately after the applied force is removed. m/s2(d) Find the speed of the block when it first reaches the equilibrium position. m/s(e) If the surface is not frictionless but the block still reaches the equilibrium position, how would your answer to part (d) change? The block would arrive at a greater speed. The block would arrive at a lower speed.     The block would arrive at the same speed. (f) What other information would you need to know to find the actual answer to part (d) in this case?

A spring has a natural length of 13.6 cm and a spring constant of 230 N/m. How much elastic potential energy will the spring have when it is stretched by 5.12 cm?