Slopes, Pulleys & Sliding Things

1)      A snowboarder slides straight down a 25° incline. It’s a beautiful day, sunny, with no air resistance and no friction. What is his acceleration?

2)      The snowboarder takes another run down the 25° incline, but this time the snow has a coefficient of kinetic friction equal to 0.15. How fast will he be moving after he slides 60.0 m down the slope? He starts from rest.

3)      Imagine you’re dragging a child on a sled across level ground. The child and sled have a combined mass of 30.0 kg. You’re pulling on a rope that makes a 29° angle with the horizontal, and the coefficient of kinetic friction between sled and snow is 0.095. If you’re moving at a constant speed, how hard are you pulling the rope?

4)      Two boxes are connected by a rope. Both boxes are sitting on a frictionless surface. One box has a mass of 14.0 kg and the other has a mass of 6.50 kg. Pull one of the boxes with a horizontal force of 55.0 N. Calculate the tension in the rope.

5)      Another two boxes are connected by a rope, and both are resting on a frictionless table. The box on the left has a mass of 15.5 kg, and the box on the right has a mass of 22.0 kg. The box on the right is connected to a third box that hangs off the edge of the table, and the rope that connects them is draped over a frictionless pulley. The hanging box has a mass of 8.50 kg. Find the tension in each of the two ropes.