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A 10 N force and a 15 N force are acting from a single point in opposite directions. What additional force must be added to produce equilibrium?
Group of answer choices

A) A 5 N force acting in the same direction as the 10 N force.

B) A 10 N force acting in the same direction as the 15 N force.

C) A 25 N force acting in the direction perpendicular to the 10 N and 15 N forces.

D) A 5 N force acting in the same direction as the 15 N force.

Respuesta :

The additional force must be added to produce equilibrium is 5 N force acting in the same direction as the 10 N force (Option A)

Data obtained from the question

  • Force to the left = 10 N
  • Force to the right = 15 N
  • Additional force =?

How to determine the additional force

To have equilibrium,

Force to the left = force to the right

But

The force to the right is greater than the force to the left.

Thus,

Force to the left + additional force = force to the right

10 + additional force = 15 N

Collect like terms

Additional force = 15 - 10

Additional force = 5 N

Therefore, an additional force of 5 N acting in the same direction of the 10 N force is needed to obtain the equilibrium of the system (Option A)

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