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- An object of mass 100 kg is accelerated uniformly from a velocity of 5 ms–1 to 8 ms–1 in 6 s
. 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.
Best Answer
Answer: Given, mass of the object (m) = 100kg
Initial velocity (u) = 5 m/s
Terminal velocity (v) = 8 m/s
Time period (t) = 6s
Now, initial momentum (m × u) = 100kg × 5m/s = 500 kg.m.s-1
Final momentum (m × v) = 100kg × 8m/s = 800 kg.m.s-1
Therefore, the object accelerates at 0.5 ms-2. This implies that the force acting on the object (F = ma) is equal to:
F = (100kg) × (0.5 ms-2) = 50 N
Therefore, a force of 50 N is applied on the 100kg object, which accelerates it by 0.5 ms-2.
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