Question

An object of mass 100kg is accelerated uniformly from a velocity 5m/s to 8m/s in 6s. Calculate initial and final momentum also calculate acceleration of the object.
(PLS EXPALIN STEP BY STEP).

Answer 1

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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Answer 2

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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

The initial momentum of the object is 500 kg m sˆ1.

The final momentum of the object is 800 kg m sˆ1.

Force exerted on the object is 50 N.

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