18) On a horizontal frictionless floor, a worker of weight 0.900 kN pushes horiz

Question

18) On a horizontal frictionless floor, a worker of weight 0.900 kN pushes horizontally with a force of 18) 200 kN on a box weighing 1.80 kN. As a result of this push, which statement could be true? A) The worker and box will both have an acceleration of 2.17 m/s2, but in opposite directions B) The worker will accelerate at 1.08 m/s2 and the box will accelerate at 2.17 m/s2, but in opposite directions. C) The worker and box will both have an acceleration of 1.08 m/s2, but in opposite directions. D) The worker will accelerate at 2.17 m/s2 and the box will accelerate at 1.08 m/s2, but in opposite directions. E) The box will not move because the push is less than its weight. 9) A 6.00-kg block is in contact with a 4.00-kg block on a horizontal frictionless surface as shown in the figure. The 6.00-kg block is being pushed by a horizontal 20.0-N force as shown. What is the magnitude of the force that the 6.00-kg block exerts on the 4.00-kg block?

Explanation / Answer

a_worker = 0.2/0.9 x 9.8 = 2.17 m/s^2

a_box = (0.2/1.80) x 9.8 = 1.08 m/s^2

force is equal in magnitude but in opposite direction.

so accelerations will be in opposite direction.

Ans(D)

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