Question

An object of mass 100kg is accelerated uniformly from a velocity of 4 m/s to 8 m/s in 2 seconds. Calculate the change in momentum and force of the object​

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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