PLEASE, SHOW YOUR WORK

1. A force of 15.0 N acting at an angle of 25.0 deg to the horizontal is used to pull a box a distance of 5.00 m. How much work is done?

2. A car wheel has a mass of 30kg and a radius of 45.0 cm. This happens to be a "spinner" which a thin, solid disk of mass 10kg and a radius of 30 cm on the inside of the wheel. If the car was travelling at 9 m/s, what will be the angular velocity of the "spinner" in the center of the wheel when the car stops? (HINT: assume the car wheel is a hollow cylinder)

3. A 72.0-kg person pushes on a small doorknob with a force of 5.00 N perpendicular to the surface of the door. The doorknob is located 0.800 m from axis of the frictionless hinges of the door. The door begins to rotate with an angular acceleration of 2.00 rad/s2. What is the moment of inertia of the door about the hinges?

4. A ball is thrown with speed v at angle theta above the horizontal. If the speed is doubled, by what factor will the maximum height change? Show your work.

5. A ball is thrown in the air with velocity v at an angle theta. Using variables and the kinematic equations derive an expression that calculates the maximum height the ball can reach.