The momentum p of a particle changes with time according to the relation, dpdt=10+2tN. If the momentum is zero at t = 0 s. What will the momentum (inNs) at t=10 s.
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Solution
dpdt=10+2t ∫dp=∫(10+2t)dt p=10t+2t22+c p=10t+t2+c At t=0;p=0⇒c=0 ⇒p=10t+t2 p at t =10s p=10×10+10×10=200Ns