Question

An object of mass 200kg is accelerated uniformly from a velocity of 4m/s to 8m/s in 2 seconds. then find the final momentum of the object

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Class 11

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>>Laws of Motion

>>Newton's Second Law of Motion

>>An object of mass 100 kg is accelerated

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.

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Solution



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Initial velocity u=5m/s

final velocity v=8m/s

time =6s

mass =100kg

We know that Momentum =velocity×mass

So, Initial Momentum =initialvelocity×mass=5×100=500kgm/s

Final Momentum =Finalvelocity×mass=8×100=800kgm/s

Also, Force =mass×acceleration

 by newtons first law of equation,

 v=u+at

⇒a=tv−u=68−5=0.5m/s2

So, Force =mass×acceleration=100×0.5=50N