Two bodies of masses 2m and m have their kine | vedclass

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

Question

(C) The relationship between momentum $p$,mass $m$,and kinetic energy $E$ is given by $p = \sqrt{2mE}$.For two bodies,the ratio of their momenta is $\

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(C) The relationship between momentum $p$,mass $m$,and kinetic energy $E$ is given by $p = \sqrt{2mE}$.For two bodies,the ratio of their momenta is $\frac{p_1}{p_2} = \sqrt{\frac{m_1}{m_2} 	imes \frac{E_1}{E_2}}$.Given $m_1 = 2m$,$m_2 = m$,and $\frac{E_1}{E_2} = \frac{8}{1}$.Substituting these values,we get $\frac{p_1}{p_2} = \sqrt{\frac{2m}{m} 	imes \frac{8}{1}} = \sqrt{2 	imes 8} = \sqrt{16} = 4$.Therefore,the ratio of their momenta is $4:1$.

Two bodies of masses $2m$ and $m$ have their kinetic energies in the ratio $8 : 1$. What is the ratio of their momenta (in $:1$)?

Similar Questions

$A$ $120\, g$ mass has a velocity $\vec v = 2\hat i + 5\hat j\, m/s$ at a certain instant. Its kinetic energy is .................. $J$.

Which among the following is a form of energy?

The kinetic energy of a particle increases by $300\%$. The percentage increase in its momentum is ........ $\%$.

The graph between kinetic energy $E$ and velocity $v$ is:

$A$ $4 \,kg$ mass and a $1 \,kg$ mass are moving with equal kinetic energies. The ratio of the magnitude of their linear momenta is

Vedclass Test Series

Exam Paper Generator

Online Exam Module