In this figure the person has a mass of 75kg. The floor on which they are standi

Question

In this figure the person has a mass of 75kg. The floor on which they are standing has a mass of 35kg and is connected to a massless metal frame. The string and the pulley are also massless. If the person pulls on the rope with a force of 649N and makes the system (themselves and the floor) accelerate upwards at 1.99m/s^2, what will be the magnitude of the force exerted by the person on the floor? [Please use g = 9.81 upsilon/s^2. Also, note that the pulley is fixed to a support and is not moving.]

Explanation / Answer

applied force on the floor is

F = 649 N - 35 kg*(1.99 m/s^2 + 9.81 m/s^2)

= 236 N

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