A body of mass 10 kg initially moving with speed 5 ms–1 changes its speed to 25 ms–1 in 4 sec. Calculate the change in momentum and hence force applied.
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Change in momentum = 200 kg m/s.
Force = 50 N
Explanation:
The change in momentum of an object is its mass times the change in its velocity.
Δp= m * (Δv) = m * (vf−vi)
Where p is the momentum, v is velocity and m is mass.
Change in momentum = mass * (final velocity - initial velocity )
= 10 (25 - 5)
= 200 kg m/s.
Force = d(mv)/dt = change in momentum / time = 200 / 4 = 50 N
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