A bullet is fired from a rifle,and the rifle | vedclass

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

Question

(D) According to the law of conservation of momentum,the momentum of the rifle and the bullet must be equal and opposite,i.e.,$m_b v_b = M_r V_r$,wher

Vedclass · Accepted Answer

Less than the kinetic energy of the bullet

Vedclass · Answer

(D) According to the law of conservation of momentum,the momentum of the rifle and the bullet must be equal and opposite,i.e.,$m_b v_b = M_r V_r$,where $m_b$ and $v_b$ are the mass and velocity of the bullet,and $M_r$ and $V_r$ are the mass and recoil velocity of the rifle.Since the mass of the rifle $M_r$ is much greater than the mass of the bullet $m_b$ $(M_r \gg m_b)$,the recoil velocity of the rifle $V_r$ is much smaller than the velocity of the bullet $v_b$.The kinetic energy $K$ is given by $K = \frac{p^2}{2m}$,where $p$ is the momentum.Since the magnitudes of their momenta are equal $(p_b = p_r = p)$,the kinetic energy is inversely proportional to the mass $(K \propto \frac{1}{m})$.Because $M_r > m_b$,it follows that $K_r Therefore,the kinetic energy of the recoiling rifle is less than the kinetic energy of the bullet.

$A$ bullet is fired from a rifle,and the rifle experiences recoil. What will be the kinetic energy of the recoiling rifle?

Similar Questions

$A$ cannon shell fired breaks into two equal parts at its highest point. If one part retraces its path to the cannon with kinetic energy $E_1$ and the kinetic energy of the second part is $E_2$,then

$A$ particle of mass $4m$ explodes into three pieces of masses $m, m$ and $2m$. The equal masses move along the $X$-axis and $Y$-axis with velocities $4 \text{ ms}^{-1}$ and $6 \text{ ms}^{-1}$ respectively. The magnitude of the velocity of the heavier mass is

$A$ man of mass $m_1$ is standing on a platform of mass $m_2$ kept on a smooth horizontal surface. If the man starts moving on the platform with a velocity $v$ relative to the platform,then the recoil velocity of the platform is:

$A$ projectile moving with velocity $v$ in space bursts into $2$ parts with masses in the ratio $1 : 3$. The smaller part becomes stationary. What is the velocity of the other part?

Vedclass Test Series

Exam Paper Generator

Online Exam Module