An object of mass 100 kg is accelerated uniformly from a velocity

Question.
An object of mass 100 kg is accelerated uniformly from a velocity of 5 ms–1 to 8 ms–1 in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

Solution:

Mass of object, $\mathrm{m}=100 \mathrm{~kg}$; initial velocity,

$\mathrm{u}=5 \mathrm{~ms}^{-1} ;$ final velocity, $\mathrm{v}=8 \mathrm{~ms}^{-1} ;$ time,

$\mathrm{t}=6 \mathrm{~s}$

Initial momentum $=\mathrm{mu}=100 \times 5=500 \mathrm{Ns}$

Final momentum $=\mathrm{mv}=100 \times 8=800 \mathrm{Ns}$

Force exerted on the object

$\mathrm{F}=\frac{\mathrm{mv}-\mathrm{mu}}{\mathrm{t}}=\frac{800-500}{6}=\frac{300}{6}=50 \mathrm{~N}$

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