A block of mass 3.20 kg is placed against a horizontal spring of constant k = 725 N/m and pushed so the spring compresses by 0.0400 m.   (a) What is the elastic potential energy of the block-spring system (in J)?  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.  m/s

You have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up vertically and compress the spring 0.300 m. It launches the block up to a max height of 2.20 m. What is the spring constant?

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.

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?

An archer pulls her bowstring back 0.408 m by exerting a force that increases uniformly from zero to 215 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do on the string in drawing the bow?

A spring is connected on one end to a wall and the other is free to be compressed.  The spring constant is 25 N/cm for the spring.  A 2.0 kg mass is pressed against the spring and then released and the entire system is placed on horizontal frictionless surface.   (a)  How much is the spring compressed when 15.0 J of energy is stored in the spring? (10.9 cm)  (b)  What is the acceleration when the spring is at 1/2 the maximum compression distance? (68.5 m/s2)  (c)  What is the maximum speed of the mass?

A certain spring is found not to obey Hooke's law; it exerts a restoring force F(x) = -ax² - 6x³ if it is stretched or compressed, where: a = 10.0N/m², B = 300.0N/m³ The mass of the spring is negligible. Calculate the potential energy function U(x) for this spring, if U(x=0) = 0. Find the spring potential energy at x = 0.500 m

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?

Suppose a box of mass m slides toward a spring with a speed of Vi, presses 1.00 m into the spring, and then bounces away with a final speed of 15.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk = 0.5).

= 500 N/m) whose other end is fixed. The ladle has a kinetic energy of 4.2 J as it passes A 0.18 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.070 m and the ladle is moving away from the equilibrium position? (a) Number Units (b) Number Units