We start with some review problems. A crate of mass 37.6 kg rests on a level surface, with a coefficient of kinetic friction of 0.135. You push on the crate with an applied force of 307 N. What is the magnitude of the crate's acceleration as it slides?
- 8.16 m/s^2
- 4.10 m/s^2
- 10.61 m/s^2
- 6.84 m/s^2
2. You place a crate of mass 38.1 kg on a frictionless 4.74-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.49 s after you released it. What is the angle of the incline?
- 32.3 degrees
- 25.8 degrees
- 38.7 degrees
- 61.9 degrees
3. This time we have a crate of mass 26.6 kg on an inclined surface, with a coefficient of kinetic friction of 0.109. 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 7.01 m/s^2?
- 36.1 degrees
- 67.0 degrees
- 43.8 degrees
- 51.5 degrees