a. Find an example of torque in your life and describe it in full physical terms: 1-what is the significance of this torque to you? 2-what object or objects are involved? 3-what is the value of the torque in kilogram meters-squared per second per second (or newton-meters)? 4-what is the direction of this torque? b. Find an example of angular acceleration in your life and describe it in full physical terms: what is the significance of this angular acceleration to you? 1- what object or objects are involved? 2- what is the value of the angular acceleration in radians per second per second? 3- what is the direction of this angular acceleration? 4- Describe in a few sentences the connections that lead to the idea that every force is paired with an equal and opposite force and give a few examples of force pairs from your life. c. A basketball has a mass of 0.624 kg. If you let go of it with its bottom 1.83 m from the ground, 1- what is the velocity at which the basketball will hit the ground assuming drag is negligible? 2- if the basketball rebounds from its collision with the ground and reaches a height of 1.37 m from the ground, that means its rebound speed was 5.19 m/s; What was the change in velocity (final minus initial) over the course of the collision, assigning downward velocities a negative signal and upward velocities a positive sign? 3- What is the change in momentum of the basketball during its contact with the ground? 4- If the basketball maintains contact with the ground for 0.016 s, what is the average force exerted by the ground on the basketball during contact? 5- How many times the weight of the basketball is the average force of the ground during contact? (for example: if you found the weight to be 2 N and the average contact force to be 42 N, you would report 21) d. When you lift an object in your hand, your bicep muscle contracts to exert the force to raise your forearm and hand by rotating your forearm and hand around your elbow joint. If your bicep is attached to your forearm bones 0.0381 m from your elbow joint, and the center of your hand is 0.330 m from the elbow joint, what force (in N) must the bicep exert to start lifting a 5.44 kg bowling ball held in the center of the hand? e. A 2270-kg truck slips on ice traveling at 22.4 m/s (50 mph) forward and collides with a 1590-kg sedan traveling at 13.4 m/s (30 mph) forward. 1- What is the momentum of the truck before it collides with the sedan? 2- What is the momentum of the sedan before the truck collides with the sedan? 3- What is the total momentum of the truck and sedan before the collision? 4- If no significant outside force acts on the truck and sedan during the collision, what will the total momentum of the truck and sedan be after the collision? 5- Assuming the truck and sedan stay stuck together, what is their combined total mass? 6- What will their stuck-together velocity be after the collision? f. Nathan Chen spins at 6.28 rad/s before pulling in his arms to spin at 32.8 rad/s. 1- Assuming no net torque during his change of arm position, if his initial moment of inertia with arms out was 0.561 kg m2, what was his final moment of inertia with arms pulled in? 2- What torque did he need to exert through his ice skates to reach the initial 6.28 rad/s in 2.00 s assuming he started with no angular velocity? g. If the Moon orbits the Earth with an orbital angular acceleration of 2.7310^-3 rad/s^2 at a radius of 3.8510^8 m from Earth while being pulled with a force of 1.9810^20 N toward Earth, what is the Moon's orbital moment of inertia