A block of mass 4.00 kg is placed against a horizontal spring of constant k = 835 N/m and pushed so the spring compresses by 0.0500 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.

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 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.

SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's law. When stretched/compressed x metres, it exerts a force of 57.6x +72.6x² (a) Compute the work required to stretch the spring from x= 0.6 m to x = 1.3 m. (b) With one end of the spring fixed, a particle of mass 1.2 kg is attached to the other end of the %3D spring when it is stretched by an amount x = 1.3 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.6 m? (c) Is the force exerted by the spring conservative or nonconservative? Explain.

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