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 1.80 kn. as a result of the push, which statement could be true?

Question

20-12-2022
Physics

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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 1.80 kn. as a result of the push, which statement could be true?

Answer :

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kjuli1766 kjuli1766 · Answer 1 · 2022-12-22T13:13:39-05:00

The correct statement is "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" , so option (D) is the correct option.

Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity.

As described in Newton's second law, the magnitude of an object's acceleration is the combined effect of two sources.

-The mass of this object is inversely proportional to the mass of the object.

-Depending on the material from which it is made.

Calculation :

For the box :

F = m*a

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

The only correct choice is D

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