1. Determine the net force acting on the following objects: A 0.50 kg physics book lying on a flat desk. A 0.50 kg physics book that is falling, just after being dropped (There is negligible air resistance.) A 0.50 kg physics book that is being pushed across a desk with a force of 4.0 N and is experiencing a force of friction with a magnitude of 1.0 N. A 0.50 kg physics book that is being pulled up an inclined plane that makes an angle of 40 with the horizontal. A force of 6.0 N is being exerted on a string connected to the book to pull it, and the book is experiencing a frictional force of 1.0 N.

2. A 136 kg piano is at the top of a ramp that makes an angle of 35.0 with level ground. As the piano slides down the ramp, it experiences a force of friction of 125 N. What is the acceleration of the piano down the ramp?

3. A person weighing 45.0 kg is in an elevator, positioned on a scale. What will the reading on the scale be when the elevator is moving upward at constant velocity? What will the reading on the scale be when the elevator is moving upward and, approaching the desired floor, slows down at a rate of 2.0 m/s²?

4. A 3.0 kg cart on a table is connected to a string that hangs over a pulley suspending a 2.0 kg block over the side of the table. Determine the acceleration of the system, as well as the tension in the string.