Question

PART 1: This time we have a crate of mass 26.5 kg on an inclined surface, with a coefficient of kinetic friction 0.168. Instead of pushing on the crate, you let it slide down due to gravity. What must the angle of the incline be, in order for the crate to slide with an acceleration of 4.44 m/s^2?

A) 21.6 degrees

B) 50.4 degrees

C) 28.8 degrees

D) 36.0 degrees

PART 2: Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 688 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? Express your answer in revolutions per minute (rpm).

A) 1.140 rpm

B) 0.119 rpm

C) 82.2 rpm

D) 0.684 rpm

PART 3: Same as part 2 above. This time, the space station as a radius of 1279 m. And this time, the amount of artificial gravity you experience is 18.2 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm).

A) 1.139 rpm

B) 0.119 rpm

C) 152.6 rpm

D) 0.570 rpm

Answer 1