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

The graph between $\sqrt{E}$ and $\frac{1}{p}$ is ($E$ = kinetic energy and $p$ = momentum).

If a lighter body of mass $M_1$ and velocity $V_1$ and a heavy body of mass $M_2$ and velocity $V_2$ have the same kinetic energy,then:

$A$ particle of mass $m$ at rest is acted upon by a force $F$ for a time $t$. Its kinetic energy after an interval $t$ is

The kinetic energy acquired by a mass $m$ in travelling a certain distance $d$ starting from rest under the action of a constant force is directly proportional to

When the mass and speed of the body are doubled,the kinetic energy of the body

Vedclass Test Series

Exam Paper Generator

Online Exam Module