a person is pushing a box across the table the measure forces on the box are 10n 14n + -7n + -10n in which force is represented by -7n ​

Respuesta :

The force represented by -7 N is the force of friction

Explanation:

There are most likely 4 forces acting on the box in motion:

  • The weight of the box, downward
  • The normal reaction exerted by the table on the box, upward
  • The force of push applied by the person, forward
  • The force of friction, backward

Here we are just given the magnitudes (with sign) of each force, they are:

+10 N

+14 N

-7 N

-10 N

First of all we analyze the situation along the vertical direction. In this direction, the box is in equilibrium (in fact, the box does not move along this direction): this means that the two forces acting along this direction (the weight and the normal reaction) must balance each other, so they must be equal and opposite. This means that they are:

Normal reaction: +10 N (upward)

Weight: -10 N (downward)

Now we are left with the two forces that acts along the horizontal direction. We also know that the force of friction cannot be greater than the force that is pushing the box (at most, it can be equal to it): therefore, we can also assign the two forces which are left as

Force of push: +14 N

Force of friction: -7 N

Where the negative sign means the force of friction is opposite to the direction of the force of push.

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Answer:

A. force of friction

Explanation: