Question

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?

Answer 1

Answer:

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.