Answers

  • Brainly User
2014-10-11T20:25:25+05:30
As K.E. = p * p / 2m 
so if momentum of an object gets doubled its kinetic energy becomes 4 times
 !!!!!!!!!!!!!!!! mark as best !!!!!!!!!!!!

1 5 1
2014-10-11T20:46:18+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
K.E. = p² / 2m         where, p ⇒ Momentum ;  m ⇒ Mass
Let the initial K.E. and momentum be K₁ and p₁ respectively and final K.E. and momentum be K₂ and p₂ respectively.
Given: p₂ = 2 (p₁)
From the above formula,
K.E. is directly proportional to p²
So, K₁ / K.₂ = p₁² / p₂²
⇒ K₁ / K₂ = p₁² / (2p₁)² = p₁² / 4×p₁²
⇒K₁ / K₂ = 1 / 4
⇒K₂ = 4(K₁)
Hence, K.E. is quadrupled when its momentum is doubled. 



1 5 1