Question

2. A 10-kg block is released from rest at point A, as shown below. It slides along a track that is frictionless except for a "sticky" part between points B and C. After its motion along the track, the block hits a spring with spring constant 1500 N/m. It compresses the spring 0.4 m before momentarily coming to rest. 3.00 m 6.00 m-. We have seen in class that when an object moves along a rough surface, the force of friction between that object and the surface is directly proportional to the normal force on the object, or The dimensionless number u is known as the coefficient of friction for a particular surface. It is a number (usually between O and 1) that allows us to measure the "roughness" of the surface. Find the coefficient of friction for the sticky part of the track.

Answer 1

Apply energy conservation mgh = mu mg d + 1/2 kx^2 10 times 9.8 times 3 = mu times 10 times 9.8 times 6 + 1/2 times 1500 times (0.4)^2 mu = 0.295