Masses of two substances are 1, g and 9, g re | vedclass

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

Question

(D) The relationship between kinetic energy $(K)$,momentum $(P)$,and mass $(m)$ is given by $K = \frac{P^2}{2m}$.Since the kinetic energies are the sa

Vedclass · Accepted Answer

$1:3$

Vedclass · Answer

(D) The relationship between kinetic energy $(K)$,momentum $(P)$,and mass $(m)$ is given by $K = \frac{P^2}{2m}$.Since the kinetic energies are the same $(K_1 = K_2)$,we have $\frac{P_1^2}{2m_1} = \frac{P_2^2}{2m_2}$.Rearranging the terms,we get $\frac{P_1^2}{P_2^2} = \frac{m_1}{m_2}$.Taking the square root on both sides,the ratio of their momenta is $\frac{P_1}{P_2} = \sqrt{\frac{m_1}{m_2}}$.Given $m_1 = 1\, g$ and $m_2 = 9\, g$,we substitute these values:$\frac{P_1}{P_2} = \sqrt{\frac{1}{9}} = \frac{1}{3}$.Therefore,the ratio of their momentum is $1:3$.

Masses of two substances are $1\, g$ and $9\, g$ respectively. If their kinetic energies are same,then the ratio of their momentum will be

Similar Questions

If momentum of a body is increased by $20 \%$,then its kinetic energy increases by $....\%$

If an object has no kinetic energy,it cannot have momentum. Do you agree?

If the momentum of an object is doubled,what is the percentage increase in its kinetic energy (in $\%$)?

The kinetic energy of a body of mass $3 \,kg$ and momentum $2 \,N-s$ is

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 $P_2 = M_2 V_2$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module