© Copyright, Department of Physics, University of Illinois at Urbana-Champaign

Block on Cart

A block of mass mblock = 1.2 kg is placed atop a cart of mass mcart = 3.4 kg. An unknown external force is then applied to the cart only, causing the system to accelerate. The coefficient of kinetic friction mk = 0.4 and the coefficient of static friction ms = 0.78.

What is the maximum acceleration of the system such that the block does not slip?

Use gravity g = 9.81 m/s2.

amax = m/s2