An object is pulled northward by a force on 10 n and at the same time another force of 15 n pulls it southward. the magnitude of the resultant force on the object is

The magnitude on the resultant force on the object = 18.03 N

Explanation:

Resultant Force: The resultant force of two or more forces acting on a body in a given direction is the single force obtained when the two forces are combined, which produces the same effect as the two forces acting together.

Since both forces makes an angle of 90° with each other,

Fr = √(F₁² + F₂²) Equation 1

Where Fr = resultant force on the object F₁ = The force pulling the body northward, F₂ = The force pulling the body southward.

Given: F₁ = 10 N,  F₂ = 15 N

Substituting these values into equation 1

Fr = √(10² + 15²)

Fr = √(100 + 225)

Fr = √325

Fr = 18.03 N

Therefore the magnitude on the resultant force on the object = 18.03 N

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