A 40 kg rectangular crate is placed on at the top of a triangular ramp as shown in the figure. The rectangular crate is starting from rest at the point A and the 60 kg ramp is free to roll. Determine the distance the ramp moves when the crate slides 30 m down the ramp and reaches the bottom B. 1) 9.6m 

The equation of momentum
can be written as Also v_{B}
= v_{r} + v_{B/r} and if we consider that the movement
of the ramp is positive then we have the equation as: Integrating with respect
to time we have that: So the distance travelled
by the ramp is 9.6m 