Problems: Friction, Ropes and Forces
 

1. a) What force will push a 180 kg (weight?) rock over a surface at a constant velocity? ( = 1.5)
    b) If 3 200 N of force were applied to the rock, how much is "extra" force?
    c) The excess force could accelerate the rock at what rate?
2. a) If a gravel surface has a of 2.4, what force will be needed to move a 400 kg (weight?) granite slab
        over it at a constant velocity?
    b) If 12 000 N of force are applied, how many N are "extra" applied force?
    c) The extra force could accelerate the slab at what rate?
3. a) How many N are needed to drag at a constant velocity a 150 kg (weight?) elk carcass over
        ground with a = 1.4?
    b) A bear supplying 3 000 N of force (how much of this is "extra"?) could move the carcass at what
        rate of acceleration?
4. a) If a 50 kg (weight?) person hangs tightly on a thin rope that can support only 15 N, the rope, for
       a second or two before snapping, attempts to support how many extra N beyond its breaking
       strength?
    b) If the person hanging on the thin rope opened their hands, what would happen to the person?
    c) How many N would then not be hanging on the rope?
    d) How much of the person's weight has to be removed from the rope to keep it from breaking?
    e) Treating the weight in d) as a force, at what acceleration must the person slide down the rope to
       "remove" the excess N?
5. a) If a 470 kg (weight?) boulder were somehow to be supported by a rope with a breaking strength
       of just 600 N, how many extra N would be have to be "removed" from the rope?
    b) If the construction boss wants a "safety factor", even more weight must be removed from the rope
        to further minimize the chance of its parting. If a safety factor of 20 N is chosen, how many N in
        total would then have to be "removed" from the rope?
     c) At what acceleration would the boulder have to be lowered to "remove" the weight (treat it as
         force) and prevent the rope from snapping?
6. a) If a rope with a breaking strength of 1 000 N will be used to lower a 4 000 N car to the ground,
        how many extra N must somehow be "removed" from the rope?
    b) If the loading crew chief wants a safety factor of 200 N, then how many N would have to be
        "removed" from the rope?
    c) At what acceleration must the car descend to remove all the extra weight (force) from the rope?
7. a) What force will push a 280 kg (weight?) rock over a surface at a constant velocity? ( = 0.5)
    b) If 2 200 N of force were applied to the rock, how much is "extra" force?
    c) The excess force could accelerate the rock at what rate?
8. a) If a sand surface has a of 3.2, what force will be needed to move a 400 kg (weight?) marble slab
       over it at a constant velocity?
    b) If 17 000 N of force are applied by a winch, how many N are "extra" applied force?
    c) The extra force could accelerate the slab at what rate?
9. a) How many N are needed to drag at a constant velocity a 350 kg (weight?) zebra carcass over
        ground with a = 1.8?
    b) A lioness tugging with 4 000 N of force ("extra"?) could accelerate the carcass at what rate?
10. a) A 2 kg and a 5 kg mass are supported at opposite ends of a rope slung over a frictionless pulley.
          Find the acceleration of the small mass.
      b) What is the tension in the rope.
11. Redo Q. 10 with 4 and 7 kg masses.
12. Redo Q. 10 with 2 and 3 kg masses.
13. a) A cable can withstand 12 000 N. What is the maximum acceleration at which it can haul up a
          200 N platform loaded with 1 300 N of cargo?
      b) The platform would need how many seconds to reach a speed of 1.7 m/s?
14. a) A cable can withstand 15 000 N. What is the maximum acceleration at which it can haul up a
         400 N platform loaded with 2 100 N of cargo?
      b) The platform would reach what speed in 8 s?
15. A 20 N object (mass?) rests on a frictionless surface. It is tied to a 3 N object (mass?) hanging
      over the edge of the surface. Find the rate of acceleration of the heavier object.
16. A 10 N object (mass?) rests on a frictionless surface. It is tied to a 30 N object (mass?) hanging
      over the edge of the surface. Find the rate of acceleration of the lighter object.
17. A 35 N object (mass?) rests on a frictionless surface. It is tied to a 6 N object (mass?) hanging
      over the edge of the surface. Find the rate of acceleration of both objects.
18. A cable that can withstand a tension of 11 000 N is attached to a 1 000 N platform. If a motor
      pulls up the cable at a rate of 2.5 m/s2, how much freight can be placed on the platform?
19. A cable that can withstand a tension of 10 000 N is attached to a 1 400 N platform. If a motor
      pulls up the cable at a rate of 3.2 m/s2, how much freight can be placed on the platform?
20. A cable that can withstand a tension of 13 000 N is attached to a 1 600 N platform. If a motor
      pullsup the cable at a rate of 1.9 m/s2, how much freight can be placed on the platform?
21. a) A cable can withstand just 900 N. What is the maximum acceleration at which it can haul up a
          200 N platform loaded with 600 N of cargo?
      b) The platform would have to reach what speed in 10 s?
22. a) How many N are needed to drag at a constant velocity a 400 kg (weight?) sled over frozen
          ground with a = 0.8?
      b) A horse tugging with 4 000 N of force ("extra"?) could accelerate the sled at what rate?
      c) After 7 s, the sled would be moving at what speed?