A bullet of mass m moving with velocity v str | vedclass

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

Question

(A) Initial momentum of the system,$p_i = mv$.Let $V$ be the velocity of the composite system after the collision.Final momentum of the system,$p_f =

Vedclass · Accepted Answer

$\frac{1}{2}mv^2 	imes \frac{m}{m+M}$

Vedclass · Answer

(A) Initial momentum of the system,$p_i = mv$.Let $V$ be the velocity of the composite system after the collision.Final momentum of the system,$p_f = (m+M)V$.By the law of conservation of linear momentum,$p_i = p_f$,so $mv = (m+M)V$.Therefore,the velocity of the composite block is $V = \frac{mv}{m+M}$.The kinetic energy of the composite block is $K = \frac{1}{2}(m+M)V^2$.Substituting the value of $V$,we get $K = \frac{1}{2}(m+M) \left( \frac{mv}{m+M} ight)^2$.Simplifying this expression,$K = \frac{1}{2}(m+M) \frac{m^2v^2}{(m+M)^2} = \frac{1}{2}mv^2 	imes \frac{m}{m+M}$.

$A$ bullet of mass $m$ moving with velocity $v$ strikes a block of mass $M$ at rest and gets embedded into it. The kinetic energy of the composite block will be

Similar Questions

$A$ mass $M$ moving with velocity $V$ along the $x$-axis collides and sticks to another mass $2M$ which is moving along the $y$-axis with velocity $3V$. The velocity of the combination after the collision is:

$A$ particle of mass $m$ moves with velocity $v$ towards the East. It collides with another particle of the same mass and same speed moving towards the North and sticks to it. What will be the velocity of the combined particles?

$A$ bag (mass $M$) hangs by a long thread and a bullet (mass $m$) comes horizontally with velocity $v$ and gets caught in the bag. Then for the combined (bag $+$ bullet) system

An object of mass $80 \,kg$ moving with velocity $2 \,ms^{-1}$ collides with another object of mass $20 \,kg$ moving with velocity $4 \,ms^{-1}$. Find the loss of energy assuming a perfectly inelastic collision. ........... $J$

In a one-dimensional collision, a particle of mass $2m$ collides with a particle of mass $m$ at rest. If the particles stick together after the collision, what fraction of the initial kinetic energy is lost in the collision?

Vedclass Test Series

Exam Paper Generator

Online Exam Module