Two bodies with kinetic energies in the ratio | vedclass

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

Question

(D) The kinetic energy $E$ of a body with mass $m$ and linear momentum $p$ is given by the relation: $E = \frac{p^2}{2m}$.Since the linear momentum $p

Vedclass · Accepted Answer

$1:4$

Vedclass · Answer

(D) The kinetic energy $E$ of a body with mass $m$ and linear momentum $p$ is given by the relation: $E = \frac{p^2}{2m}$.Since the linear momentum $p$ is constant for both bodies,we have $E \propto \frac{1}{m}$,which implies $m \propto \frac{1}{E}$.Given the ratio of kinetic energies is $\frac{E_1}{E_2} = \frac{4}{1}$.Therefore,the ratio of their masses is $\frac{m_1}{m_2} = \frac{E_2}{E_1} = \frac{1}{4}$.Thus,the ratio of their masses is $1:4$.

Two bodies with kinetic energies in the ratio of $4 : 1$ are moving with equal linear momentum. The ratio of their masses is

Similar Questions

The kinetic energy of an object decreases by $19\%$. What is the percentage decrease in its momentum?

If the kinetic energy of a body increases,then what happens to its momentum?

If a light object (mass $M_1$ and velocity $V_1$) and a heavy object (mass $M_2$ and velocity $V_2$) have the same kinetic energy,then which of the following is true regarding their momenta ($P_1 = M_1 V_1$ and $P_2 = M_2 V_2$)?

$A$ body of mass $2 \ kg$ is projected vertically upwards with a velocity of $2 \ m \ s^{-1}$. What will be its kinetic energy in $J$ just before it hits the ground?

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module