A body of mass 500 kg starting from rest, attains a velocity of 50 m/s in 25 seconds.
Calculate -
(a) initial momentum
(b) final momentum
(c) force.
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Answer:
Initial velocity of the object (u) = 5 m/s
Final velocity of the object (v) = 8 m/s
Mass of the object (m) = 100 kg
Time take by the object to accelerate (t) = 6 s
Initial momentum = mu = 100 × 5
⇒ mu = 500 kg m/s
Final momentum = mv = 100 × 8
⇒ mv = 800 kg m/s
Let us calculate the Force exerted on the object (F)
F = (mv – mu) / t
F = (800 – 500)/6
F = 300 / 6
F = 50 N
Initial momentum of the object is 500 kg m sˆ1.
Final momentum of the object is 800 kg m sˆ1.
Force exerted on the object is 50 N.
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