A box with a mass of 2kg slides across a surface at the velocity of 10 m/s. A force of 32 N is applied. What force will cause the box to continue with a velocity of 10 m/s?

A box with a mass of 2kg slides across a surface at the velocity of 10 ms A force of 32 N is applied What force will cause the box to continue with a velocity o class=

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Answers:

F2 = 32N

a = 10 m/s²

Explanation:

The object will continue with the same velocity if the net force is equal to 0. So, to make the net force equal to 0, F2 should be equal and opposite to F1. It means that if F2 = 32 N, the object will continue with a velocity of 10 m/s

On the other hand, If F2 = 12 N, the net force will be equal to

Net Force = F1 - F2

Net Force = 32N - 12N

Net Force = 20N

Then, by the second law of Newton, the acceleration is equal to the net force divided by the mass. Since the mass m = 2kg, the acceleration is

a = F/m

a = 20N/2kg

a = 10 m/s²

Therefore, the answers are:

F2 = 32N

a = 10 m/s²