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 1.99 m/s^2, what will be the magnitude of the force exerted by the person on the floor? [Also, note that the pulley is fixed to a support and is not moving.]

[TAMU. Physics 218: Exam 2; Problem 1 / B]

Explanation / Answer

Here ,

let the force acting on the floor be N

then ,

Using second law of motion ,

Fnet = T - mg + N

1.99*75 = 649 - 75*9.8 + N

N = 235.3 N

the magnitude of the force exerted by the person on the floor is 235.3 N

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