1. When tightening a lug nut, you push a wrench at a 90-degree angle with a force of 130 N at 0.45 m from the center of the lug nut. (a) How much torque are you exerting on the lug nut? (b) If there is a force of friction on the lug nut of 105 N at 0.05 m, will you be able to tighten the lug nut? (c) If the force of friction increases by 75 N with each full revolution, how many revolutions can the lug nut be rotated? (d) If the maximum force you can push the wrench is 130 N, what the minimum distance you can apply force this force on the wrench to ensure 10 revolutions?

2. A 5kg ball is thrown horizontally with a velocity of 10 m/s off a 20 m cliff. (a) What is the total energy of the ball? (b) what is the velocity of the ball just before it hits the ground?