Two forces are acting on a 2.0 kg object that moves with acceleration 6.0 m/s2 in the positive y-direction. If one of the forces acts in the positive x-direction and has magnitude of 22 N, what is the magnitude of the other force (in N)

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Physics

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17 June, 14:36

Two forces are acting on a 2.0 kg object that moves with acceleration 6.0 m/s2 in the positive y-direction. If one of the forces acts in the positive x-direction and has magnitude of 22 N, what is the magnitude of the other force (in N)

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Ian Roman · Answer 1

12N

Explanation:

We are given that one of the forces are acting only in the horizontal x-direction. As a force must be applied on an object of mass in order to cause acceleration, the 6.0ms^-2 acceleration is due to the non-horizontal force acting on the 2.0kg object.

Using Newton's Second Law of motion; we know that for a constant mass, force is equal to mass times acceleration, F=ma.

Assuming the other force is acting only in the vertical direction (question doesn't specify, thus we are finding the minimum force to cause this acceleration):

F = 2.0kg * 6.0ms^-2

F=12.0 kgms^-2

F=12 N