On a horizontal frictionless floor, a worker of weight 0.900 kN pushes horizonta

Question

On a horizontal frictionless floor, a worker of weight 0.900 kN pushes horizontally with a force of 0.200 kN on a box weighing 1.8 kN. As a result of this push, which statement could be true?

A) The worker will accelerate at 1.08 m/s^2 and the box will accelerate at 2.17 m/s^2, but in opposite directions.

B) The box will not move because the push is less than the weight.

C) The worker and box will bot have an acceleration of 2.17 m/s^2, but in opposite directions.

D) The worker will accelerate at 2.17 m/s^2 and the box will accelerate at 1.08 m/s^2, but in opposite directions.

E)The worker and box will bot have an acceleration of 1.08 m/s^2, but in opposite directions.

Please show work and explain for full rating!

Explanation / Answer

For the box

F = ma

200 = (1800/9.8)(a)

a = 1.08 m/s^2

For the human

200 = (900/9.8)a

a = 2.17 m/s^2

The only correct choice is D

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