A bullet of mass m and velocity v is fired integralo a block... | PHYSICS - THE WORK -ENERGY THEOREM FOR A VARIABLE FORCE | SolveeIt | Solveeit

Today, August 19

Question

A bullet of mass m and velocity v is fired into a block of mass M and sticks to it. The final velocity of the system equals

A

v

B

$\frac { \mathrm { Mv } } { \mathrm { m } + \mathrm { M } }$

C

$\left( \frac { \mathrm { m } + \mathrm { M } } { \mathrm { M } } \right) \mathrm { v }$

D

$\left( \frac { \mathrm { m } + \mathrm { M } } { \mathrm { m } } \right) \mathrm { v }$

Answer

$\frac { \mathrm { Mv } } { \mathrm { m } + \mathrm { M } }$

Explanation

Solution

(m + mv') = mv or v' = $\frac { \mathrm { Mv } } { \mathrm { m } + \mathrm { M } }$