A force of 40 Newtons is applied to a mass resulting in an acceleration of 8 m/s2What force would need to be applied to this mass to cause an acceleration of 25 m/s2?

Question

Physics

Matias Graves

11 August, 16:12

A force of 40 Newtons is applied to a mass resulting in an acceleration of 8 m/s2What force would need to be applied to this mass to cause an acceleration of 25 m/s2?

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Answers (1)

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Dawson Cooley · Answer 1

125 N

Explanation:

Force: This can be defined as the product of the mass of a body and its acceleration. S. I unit of force is Newton (N).

Mathematically, Force can be expressed as,

F = ma ... Equation 1

Where F = force, m = mass, a = acceleration of the body.

Making m the subject of the equation,

m = F/a ... Equation 2.

Given: F = 40 Newtons, 8 m/s²,

Substituting into equation 2

m = 40/8

m = 5 kg,

When the acceleration a = 25 m/s²

Substitute into equation 1

F = 25*5

F = 125 N.

Hence the needed = 125 N.