Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions


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

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
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts