A bullet of mass m travelling at speed v stri | vedclass

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

Question

(A) According to the law of conservation of linear momentum,the initial momentum of the system is equal to the final momentum.$mv + M(0) = (M + m)V_{\

Vedclass · Accepted Answer

$\frac{1}{2}mv^2 	imes \left( \frac{m}{m + M} ight)$

Vedclass · Answer

(A) According to the law of conservation of linear momentum,the initial momentum of the system is equal to the final momentum.$mv + M(0) = (M + m)V_{	ext{common}}$$	herefore V_{	ext{common}} = \frac{mv}{M + m}$Now,the final kinetic energy $(KE_{	ext{final}})$ of the combined system is given by:$KE_{	ext{final}} = \frac{1}{2}(M + m)V_{	ext{common}}^2$Substituting the value of $V_{	ext{common}}$:$KE_{	ext{final}} = \frac{1}{2}(M + m) \left( \frac{mv}{M + m} ight)^2$$KE_{	ext{final}} = \frac{1}{2}(M + m) \frac{m^2v^2}{(M + m)^2}$$KE_{	ext{final}} = \frac{1}{2}mv^2 	imes \left( \frac{m}{M + m} ight)$

$A$ bullet of mass $m$ travelling at speed $v$ strikes a block of mass $M$ at rest and gets embedded in it. Finally,both will have a combined kinetic energy of:

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 $m$ moving eastward with a speed $v$ collides with another particle of the same mass moving northward with the same speed $v$. The two particles coalesce on collision. The new particle of mass $2m$ will move in the north-easterly direction with a velocity

$A$ bullet of mass $a$ moving with velocity $b$ strikes a block of mass $c$ and gets embedded in it. Find the velocity of the block.

$A$ 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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module