Answer Happy

block of mass m is released from rest at the top of an incline forming an angle, 0, with the horizontal. After traveling a distance L, the block hits a spring of stiffness constant, k, which is initially in its equilibrium configuration. The surface of the incline is rough above the spring with a coefficient of kinetic friction. between the block and the ramp-but smooth under the spring (see the figure below). (a) Without any calculation, explain whether or not the block reaches the top of the incline after being pushed by the spring. (b) Determine the speed of the block when it reaches the spring. (c) Determine the length of the compression, Axes, (d) Determine the distance, d, traveled by the block on the way back uphill, from the point where it loses contact with the spring to where it reaches its maximum height. (e) Determine the kinetic friction coefficient that would allow the block to come to a stop after traveling a distance L/2 on the way back uphill. If you were unable to solve part (d), you may treat d = L to solve part (e). **You may treat the mass, m, as small enough that it begins to experience no friction as soon as it begins to compress the spring and for as long as it continues to compress the spring.** (5 points for each part -25 points total) sine-ucose sine+ucose m No Friction