Question

A.Your mass m=11 kg block slides down a frictionless ramp having angle theta=0.51 radians to the horizontal. After sliding down the ramp a distance L=16 m the block encounters a spring of spring constant k=551 N/m. The spring is parallel to the ramp. Use g=9.74 m/s/s for the acceleration of gravity.

Calculate the maximum compression of the spring, in meters. Include labeled diagrams showing the initial and final configurations, and a discussion of the solution method based on energy conservation.

B. Your mass m=9 kg block slides on a frictionless horizontal surface with initial velocity v₀=26 m/s until it encounters a patch of the surface having friction coefficient mu(x) =c xⁿ where n=4, c=2.32 m^-n, and x is the distance into the patch. Use g=9.72 m/s/s.

Calculate the distance into the patch where the block stops, in meters, assuming the patch has sufficient length to stop the block. draw a clearly labeled diagram

Answer 1

Solution in the uploaded image