Question

A force of 5N changes the velocity of a body from 10 $ms^{-1}$\ to\ 20\ $ms^{-1}$ in 5s. How much force is required to bring about the same change in 2s.

Answer 1

Force = Mass × Acceleration

Acceleration = (Change in Vel. / Time) = ((20-10)/5) = 2m/s^2

Therefore,

5 = Mass × 2

Mass = 2.5kg

To bring the same change in 2 secs,

Acceleration = ((20-10)/2) = 5m/s^2

Force = 2.5 × 5 = 12.5N

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