P. 3929. A disc of mass m=12 kg and of radius R=0.1 m slides down without rolling along smooth, frictionless inclined plane, which ends in a horizontal plane without break. The disc starts at a height of h=1.25 m (it has no initial speed and it does not rotate), and lands on the top of a cart of mass M=6 kg, which can move easily. The coefficient of kinetic friction between the cart and the disc is =0.4. The disc begins to roll without sliding when it is in the middle of the cart.
a) How long is the cart?
b) What is the greatest speed of the cart?
c) How long does it take for the disc to go through the cart?
Deadline expired on 11 December 2006.