9303753286127016 If momentum of an object is increased by 10% then its kinetic energy will increase by?

If momentum of an object is increased by 10% then its kinetic energy will increase by?

 Answer: 21%

The relationship between the kinetic energy and momentum of a body is K.E=P2/2m.

Given that, if momentum is increased by 10%, then by what % the K.E will increase. So, the initial momentum be P and initial kinetic energy be K.E=P2/2m.

Increase in momentum = 10% of P, i.e.

⇒10/100×P =P/10 So, final momentum = initial momentum + increased momentum.

Final momentum, P1 = P + P/10 =11P/10. Then, final kinetic energy,

⇒K.E= (P1)2/2m

We have final momentum = 11P/10, putting this value,

we get ⇒K.E1=(11P/10)2/2m = 121P2/2m×100

⇒K.E1=121/100 × P2/2m = 121/100 K.E.

Now, increase in kinetic energy = final kinetic energy – initial kinetic energy. increase in kinetic energy =121/100K.E − K.E

increase in kinetic energy =121K.E−100K.E/100

increase in kinetic energy =21K.E/100

% increase in kinetic energy. ⇒21%

Hence, we can see that if the momentum of an object increases by 10%, then the kinetic energy will increase by 21%.

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

Post a Comment

Previous Post Next Post