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

What is the shape of the graph between speed and kinetic energy of a body?

Three bodies $A, B$ and $C$ have equal kinetic energies and their masses are $400 \,g, 1.2 \,kg$ and $1.6 \,kg$ respectively. The ratio of their linear momenta is:

Which of the following graphs represents the graphical relation between momentum $(p)$ and kinetic energy $(K)$ for a body in motion?

The $KE$ of a body is increased by $44 \%$. What is the percentage increase in its momentum?

The kinetic energy of a man is half that of a boy whose mass is half that of the man. If the man increases his speed by $1 \ m/s$,his kinetic energy becomes equal to that of the boy. What is the initial speed of the man?

Vedclass Test Series

Exam Paper Generator

Online Exam Module