A driver accelerates his car first at the rate of 2.4 m/s2 and then at the rate of 1.6 m/s2. The ratio of the two forces exerted by the engine in the two cases will be :

Foundation

Physics Foundation

Force and Newtons Law of Motion

Question

A driver accelerates his car first at the rate of 2.4 m/s² and then at the rate of 1.6 m/s². The ratio of the two forces exerted by the engine in the two cases will be :

3 : 2

1 : 2

2 : 3

2 : 1

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Let the mass of the car is m.

Then force in first case F₁ = ma₁ = 2.4 N

Force in second case F₂ = ma₂ = 1.6 N

∴ $\frac{F_{1}}{F_{2}} = \frac{2.4}{1.6} = \frac{3}{2}$ or 3 : 2