Two bodies of masses m_1 and m_2 have equal k | vedclass

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

Question

(C) The kinetic energy $E$ of a body of mass $m$ and momentum $p$ is given by the relation $E = \frac{p^2}{2m}$.Rearranging this formula,we get $p = \

Vedclass · Accepted Answer

$\sqrt{m_1}:\sqrt{m_2}$

Vedclass · Answer

(C) The kinetic energy $E$ of a body of mass $m$ and momentum $p$ is given by the relation $E = \frac{p^2}{2m}$.Rearranging this formula,we get $p = \sqrt{2mE}$.Since the kinetic energies of the two bodies are equal $(E_1 = E_2 = E)$,the momentum $p$ is directly proportional to the square root of the mass: $p \propto \sqrt{m}$.Therefore,the ratio of their momenta is $\frac{p_1}{p_2} = \sqrt{\frac{m_1}{m_2}}$.Thus,the ratio $p_1:p_2$ is $\sqrt{m_1}:\sqrt{m_2}$.

Two bodies of masses $m_1$ and $m_2$ have equal kinetic energies. If $p_1$ and $p_2$ are their respective momenta,then the ratio $p_1:p_2$ is equal to

Similar Questions

Four particles $A, B, C, D$ of mass $\frac{m}{2}, m, 2m, 4m$ have the same momentum,respectively. The particle with maximum kinetic energy is:

Give an important factor to control the speed of a vehicle in the area of a school or hospital.

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?

If two bodies of masses $m_1$ and $m_2$ have the same kinetic energy,what is the ratio of their momenta?

Two bodies of different masses $m_1$ and $m_2$ have the same kinetic energy. If $p_1$ and $p_2$ are their respective momenta,find the ratio $p_1 : p_2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module