Question

A. A crate of mass 66.8 kg rests on a level surface, with a coefficient of kinetic friction 1.49. You push on the crate with an applied force of 1,178. What is the magnitude of the crate's acceleration as it slides?

Part A answer: 3.0327 m/s^2

B. Take the same crate of mass 66.8 kg and the same coefficient of kinetic friction 1.49, but now place the crate on an inclined surface, slanted at some angle above the horizontal. Now instead of pushing on the crate, you let it slide down to gravity. What must be the angle be in order for the crate to slide with the same acceleration it had in part A.?

Part B answer: 66.063 degrees

C. Same situation as in part B, but now with no friction. Once again, what must the angle be in order for the crate to slide with the same acceleration it had in part A?

Part C answer: 2.22 degrees

D. Different situation now. You're out of space, on a rotating wheel-shaped space station of radius 780 m. You feel planted firmly on the "floor", due to artificial gravity. The gravity you experience is Earth-normal, that is g= 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity?

E. What would the radius of the space station have to be, rotating at the rate you calculated in part D, to produce an artificial gravity of 30.0 m/s^2?

Part D and E are the only sections that need to be answered. Explanations for each part would be extremely helpful. Thank you for your time and help again.

Answer 1

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