# A shell of mass 'm' moving with velocity v suddenly break into two pieces the part having mass m/3 remains stationary. The velocity of other part will be? Option 1) (2/3) v  Option 2) (7/5) v  Option 3)  (3/2)v  Option 4) none of these

As we learnt in

Kinetic energy -

$k= \frac{p^{2}}{2m}$

- wherein

$p\rightarrow momentum$

$m\rightarrow mass$

kinetic Energy is frame dependent

Mass of two piece are $\frac{m}{3}\:and\:\frac{2m}{3}$

$mv=\frac{m}{3}\times 0+\frac{2m}{3}v'$

$mv=\frac{2m}{3}v'$

$\Rightarrow v'=\frac{3v}{2}$

Option 1)

(2/3) v

Option is incorrect

Option 2)

(7/5) v

Option is incorrect

Option 3)

(3/2)v

Option is correct

Option 4)

none of these

Option is incorrect

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