a force acts on a body 0.5sec changing its momentum from 16.0kg to 21.0kg.calculate the magnitude of the force

assume you mean 16 and 21 kg m/s for momentum

F = change in momentum / change in time
= (21 - 16)/.5 = 10 Newtons average over the half second

To calculate the magnitude of the force, you need to use the formula for calculating the change in momentum:

Force = (change in momentum) / (change in time)

Given:
Initial momentum (p₁) = 16.0 kg
Final momentum (p₂) = 21.0 kg
Change in time (Δt) = 0.5 sec

First, find the change in momentum:

Change in momentum = p₂ - p₁

Substituting the given values:
Change in momentum = 21.0 kg - 16.0 kg = 5.0 kg

Next, divide the change in momentum by the change in time to find the magnitude of the force:

Force = (change in momentum) / (change in time)

Substituting the given values:
Force = 5.0 kg / 0.5 sec = 10.0 N

Therefore, the magnitude of the force is 10.0 N.