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Question

a force acts on a particle of mass 200 g. the velocity of the particle changes from 15 m/s to 25 m/s in 2.5 s. assuming the force to be constant find the magnitude


Solution

Steps and Understanding :
1) By Newtons Second Law of Motion, 
Force is rate of change of Momentum,
Here, assuming Force is constant. 
Mass of particle, m = 200g = 0.2Kg 
Final Velocity, v = 25m/s
Initial Velocity, u = 15m/s 
Time taken, t = 2.5s 
Then, 
Rate of change of momentum =m(v-u)/t
F = m(v-u) /t 
= 0.2 (25-15)/2.5 
=0.8

Magnitude of Force is 0.8 N .


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