1. Two crates with treasure, a small one with mass m=100kg and a large one with mass M=300kg are connected by a massless rope and are on a frozen lake which you may assume to be frictionless. A rope is attached to the front of the heavy crate, and a band of P dwarves, which stand at the shore and dig their heels into the soil so they do not slip, are pulling with a horizontal force that causes the In M acceleration of 2 m/s-. Determine the magnitude of the pulling force and the tension in the rope that connects the crates. 2. Two students are moving a heavy crate of mass M across a rough horizontal floor. One student applies a constant force of magnitude P that is directed an angle 0 down from the horizontal. The other student pulls with a horizontal force of magnitude T. The coefficient of kinetic friction between P the crate and the floor equals u. The crate is moving to the right. T Derive expressions for the normal force, the force of kinetic friction, and the crate's acceleration