please answer all of the multiple choice questions with clear justification

You MUST justify your answers mathematically to receive full credit: provide a calculation plus a clear diagram showing the physics. Yourjustification must briefly explain your reasoning that led you to your response. (20 words or less) 5. (04 points) An open freight car rolls friction free along a horizontal track in a pouring rain that falls vertically. As water accumulates in the car, the car's speed a. increases. b. decreases. c. does not change. d. cannot be determined with the information given. 6. (04 points) Put a pipe over the handle of a wrench when trying to turn a stubborn nut on a bolt. To effectively double the torque you use a pipe a. twice as long. b. fourtimes as long. c. eight times as long. d. The length of the pipe does not matter. 7. (04 points) You are in a circular space station that looks like a bicycle wheel. situated in deep space. The station rotates about its axis to create a simulated gravity of value g at its full radius R. Find the simulated gravity at a distance (41'5)R from the axis. a. g/25 b. 4g!25 c. 591% d. 16gl25 e. 4gl5 f. None of the above 8. (04 points) Which situation causes more damage to your car? a. You hit a very solid stone wall and made to stop b. You collide head-on with an identical car moving at the same speed locking them together. c. Both a and b d. Neither a or b 9. (04 points) Does a satellite necessarily have to have a constant speed tangent to its orbit? a. Yes b. No c. Never d. Always