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2019 · Q33

A snowboard pulled up by a tow rope travels at the rate of 5 m/s up a mountain. If 3000 watt of power is used, what force was applied to it?

general-sciencephysics-mechanics
  1. A50 N
  2. B100 N
  3. C600 N
  4. D1500 N

Explanation

Power is defined as the rate of doing work, P = Fv, where F is the force applied in the direction of motion and v is the velocity. Here the snowboard moves at 5 m/s while the tow rope supplies 3000 watts of power, so the force is F = P/v = 3000/5 = 600 N. The units confirm it: one watt is one joule per second and a joule is a newton-metre, so watts divided by m/s gives newtons directly. Options A (50 N) and B (100 N) would correspond to far too little power for a 5 m/s climb, while D (1500 N) wrongly multiplies power by velocity instead of dividing. Hence the applied force is 600 N, option C.