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
     

 

Answers (1)

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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