A block of mass 2.80 kg is placed against a horizontal spring of constant k = 805 N/m and pushed so the spring compresses by 0.0650 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 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.

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 block of mass (2 kg) starts at rest on a plane inclined (35 degrees) above the horizontal. The kinetic coefficient of friction between the block and the plane is (0.15). After being released, the block travels a distance of (2.3 m) down the plane before reaching the bottom of the plane. At the bottom of the inclined plane is a horizontal spring with spring constant of (7 N/m). How far is the spring compressed when the block collides with it?

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 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).

Suppose a box of mass mm 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 13.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk= 0.5).