Question

1) A block is released from point A and it slides down an incline (theta = 30 degrees) where the coefficient of kinetic friction is 0.3. It goes 5m and hits a spring with a spring constant k = 500 N/m. While it is being acted upon by the spring, assume it is on a frictionless surface.

a) How far is the spring compressed?

b) How far does the block go up the plane on the rebound from the spring?

2) A block of mass 2kg is held at the top of an incline plane that makes an angle of 37 degrees with the horizontal. It is initially positioned 1m from a spring at the end of the incline, and spring has a spring constant of 120 N/m. The coefficient of kinetic friction between the surface and the block is 1/8. As the block makes contact with the spring, it continues to move until it compresses the spring to a maximum distance x. Find x. (Answer: 0.5m).

Answer 1

1.

Mass of block A is not given in question.I assumed it M=2Kg and solved the question.