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06/01/2021 1:15 pm
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An object of mass 100 kg is accelerated uniformly from a velocity of 5 m s-1 to 8 m s-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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06/01/2021 1:21 pm
Here, m = 100 kg
u = 5 ms-1
v = 8 m s-1, t = 6 s
Initial momentum of object, p1 = mu
= 100 x 5 = 500 kg ms-1
Final momentum of object, p2 = mv
= 100 x 8 = 800 kg m s-1
Now,
Force = \(\frac{change\;in\;momentum}{Time}\)
= \(\frac{Final\;momentum\;-\;Initial\;momentum}{Time}\)
= \(\frac{800-500}{6}\) = \(\frac{300}{6}\) = 50 kg ms-1 = 50 N