In: Physics
Show a complete solution to the following question.
A 10.0 kg block is being held in place at the top of a rough ramp
which is at a 45 o angle to the horizontal. The coefficient
of static friction between the ramp and the block is 0.15 and the
coefficient of kinetic friction is 0.10. There is a spring at
the bottom of the ramp lying parallel to the ramp and it obeys
Hooke’s Law. The spring constant is 1200 M/m. The
distance between the side of the block facing the spring and the
upper surface of the spring is 3.0 metres.
(a) Make an FBD for the block when it is sliding down the
ramp.
(b) Calculate the speed of the block just before it makes contact
with the spring.
(c) Set up the equation which would determine the maximum
compression of the spring after the block makes contact with
the spring. You DO NOT have to solve the equation but you do need
to clearly define any variables which appear in the
equation.