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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

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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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