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

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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.

Physics

1 answer:

serg [3.5K] · Answer 1 · 2026-03-28T13:53:56+03:00

D) The worker experiences an acceleration of 2.17 m/s², whereas the box accelerates at 1.08 m/s², but in opposite directions. Explanation: Newton's third law indicates that for every action, there is an equal and opposite reaction. Specifically, two bodies interacting exert equal forces in opposite directions. In this context, F₁₂ denotes the box's effect on the worker, while F₂₁ refers to the worker's force upon the box. According to Newton's second law, we use the sum of forces equals mass times acceleration to analyze the respective weights and forces. Given the provided weights and forces, we can compute the respective accelerations: For the worker resulting in a negative acceleration of -2.17 m/s², and for the box yielding an acceleration of a₁ = 1.08 m/s².