Questions: 1. To tighten a bolt, you push with a force of 100 Nat the end of the wrench handle that is 0.5 m from the axis of the bolt. (a) What torque are you exerting? (b) If you move your hand inward to be only 0.2 m from the bolt, how much force do you need to exert to achieve the same torque? (c) Do your answers depend on the direction of your push relative to the direction of the wrench handle? 2. The rock and meterstick balance at the 25 cm mark, as shown. The meterstick has a mass of 0.5 Kg. What must be the mass of the rock? 3. If a trapeze artist rotates twice each second while sailing through the air and contracts to reduce his rotational inertia to one-third of what it was, how many rotations per second will result? 4. A 5 Kg cat sits 2 m from the center of a merry go round. The merry go round is set in motion, and the cat's tangential speed is 3 m/s. (a) What is the cat centripetal acceleration? (b) What is the centripetal force acting on the cat? 5. A 2 m rope attaches a tire to an overhanging tree limb. A boy swinging on the tire has a tangential speed of 2.2 m/s. If the magnitude of the centripetal force is 90 N; what is the boy mass? 6. Determine the angular momentum of The Earth: (a) about its rotational axis (assume The Earth is a uniform sphere), and (b) in its orbit around The Sun (treat The Earth as a particle orbiting The Sun). The Earth mass is 6 * 1024Kg ; its radius is 6.4 * 10 meters and is 1.5 * 108 Km from The Sun. Average translational speed of Earth aroud Sun is: 30,000 m/s. 7. A fighter pilot is flying his plane at 24 m/s in a circular path (radius= 290m). The centripetal force to maintain the plane's circular motion is 19,600 N. What is the plane's mass? 8. A 80 Kg man rides a spinning amusement park ride that has a radius of 10.8 m. If the person's tangential speed is 12.7 m/s, what is the magnitude of the centripetal force acting on the man