How far, in meters, would a spring, with a spring constant of 184.8 N/m, need to be stretched in order to have an elastic potential energy of 47.7 Joules?

A mass is connected to a horizontal spring. If a force of 13 N is applied to the spring, it stretches by 17.5 cm.   (a) If you compress the spring 22.5 cm from the equilibrium position, how much potential energy (in J) does it have?  (b) If you then release the spring so that the mass is now 9.5 cm from the equilibrium position, how much potential energy (in J) does it have now?  (c) What is the change in potential energy (in J) from part (a) to part (b)?  (d) How much work (in J) did the spring do on the mass when the mass is moved from its position in part (a) to its position in part (b)?  (e) How much work (in J) did you do on the mass to allow the spring to move from its position in part (a) to its position in part (b)?

A box slides down the ramp of an assembly line and compresses a spring. Assume no energy is lost due to friction and that the spring constant is 821821 N/m. If the 13.513.5 kg box compresses the spring by 0.3520.352 m, what is the height of the ramp?

A 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k = -6N/m).  The speed of the object at x=3.0 m is 8.0 m/s.  Determine the positive value for x where the speed of the object will be 4.9 m/s.  Hint:  The work done between values of x will be 1/2kx22-1/2kx12.  Set this equal to the change in kinetic energy associated with the change in speed.

A spring that obeys Hooke's law is hung in a vertical orientation. The spring is stretched a total of 6.0 cm from its equilibrium length when a 2.0 kg mass hangs from it. The spring, mass system is then pulled downward by an external force which lengthens the spring an additional 10cm. While the spring is being extended what is the work done by the spring?

A block of mass 3.20 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so the spring compresses by 0.0550 m. (a) What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring.

The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units

A block of mass 3.8 kg is placed against a horizontal spring of constant k = 735 N/m and pushed so the spring compresses by 0.0550 m.   (a)What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring.

A spring is initially stretched a distance of 0.2m from its natural length.   Its elastic potential energy increases from zero to a final value of 25J.  The force constant, k of the spring is

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?