The kinetic energy of a light body and a heav | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The relationship between kinetic energy $K$ and momentum $p$ is given by $K = \frac{p^2}{2m}$,where $m$ is the mass of the body.Rearranging this f

Vedclass · Accepted Answer

Heavy body

Vedclass · Answer

(B) The relationship between kinetic energy $K$ and momentum $p$ is given by $K = \frac{p^2}{2m}$,where $m$ is the mass of the body.Rearranging this formula,we get $p = \sqrt{2mK}$.Since the kinetic energy $K$ is the same for both bodies,the momentum $p$ is directly proportional to the square root of the mass,i.e.,$p \propto \sqrt{m}$.Therefore,the body with the larger mass will have a greater momentum.Thus,the heavy body has greater momentum.

The kinetic energy of a light body and a heavy body is same. Which one of them has greater momentum?

Similar Questions

$A$ toy car of mass $100 \,g$ is moving with a velocity of $(\hat{i}+2 \hat{j}-3 \hat{k}) \,m/s$. The kinetic energy of the car is: (in $\,J$)

The kinetic energy of a body of mass $4 \,kg$ and momentum $6 \,Ns$ will be (in $\,J$)

The kinetic energy possessed by a body of mass $m$ moving with a velocity $v$ is equal to $\frac{1}{2}mv^2$,provided

An object has momentum $p$ and kinetic energy $E$. If its momentum becomes $2p$,then its kinetic energy will be:

$2$ particles of mass $1\,kg$ and $5\,kg$ have the same momentum. Calculate the ratio of their kinetic energies $(K.E.)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module