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.
Mass of object $m=100\ kg.$
Initial velocity $u=5\ ms^{-1}$
Final velocity $v=8\ ms^{-1}$
Time $t=6\ s$
Initial momentum $P_1=mu=100\ kg.\times 5\ ms^{-1}=500\ kg.ms^{-1}$
Final momentum $P_2=mv=100\ kg.\times 8\ ms^{-1}=800\ kg.ms^{-1}$
Force exerted upon the object $F=rate\ of\ change\ in\ momentum$
$=\frac{P_2-P_1}{t}$
$=\frac{800-500}{6}$
$=\frac{300}{6}$
$=50\ N$
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