1. A space capsule with a mass of 14,690 kg is 2.56 10⁷ m from the center of the Moon. The distance from the Earth to the Moon is 3.84 10⁸ m. These three objects form a right triangle with the Moon at the 90 angle. What is the force on the capsule?

2. A person is trying to push a 14.0 kg crate by exerting a force of 43.0 N at an angle of 30 with respect to the horizontal as shown in the figure. What is the resulting normal force?

3. You are holding a box against a wall by pushing with a force of 15 N at an angle of 23 with respect to the wall. If the coefficient of static friction is 0.35, what is the weight of the box?

4. A 66.5 kg snowboarder finishes her run with a velocity of 11.6 m/s. It takes a distance of 49.1 m to come to a stop on horizontal ground.What is the coefficient of friction between the board and the snow?

Write down the key words or phrases for the following problems (5&6). Do not fully solve the problem. Do not solve the equation for the missing variable.

5. An 81-kg baseball player slides into second base. The coefficient of kinetic friction between the player and the ground is 0.49. (a) What is the magnitude of the frictional force? (b) If the player comes to rest after 1.6 s, what was his initial velocity?

6. A 6.00-kg box is sliding across the horizontal floor of an elevator. The coefficient of kinetic friction between the box and the floor is 0.360. Determine the kinetic frictional force that acts on the box when the elevator is accelerating upward with an acceleration whose magnitude is 1.20 m/s²?