Math, asked by becoa, 6 months ago

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Answered by BrainlyEmpire
5

Correct Question:-

  • A bomb of mass 50 kg at rest explodes into two pieces of masses 40 kg and 10 kg . The velocity of bigger piece is zero then Find velocity of smaller piece .

AnswEr :-

\boxed{\purple{\sf{\star{The\:velocity \:of\:bigger \:piece \:or (velocity)_{2}\:is\:-:0\:m/s}}}}

Explanation:-

Given :-

  • A bomb of mass 50 kg at rest explodes into two pieces of masses 40 kg and 10 kg .
  • The velocity of bigger piece or velocity of 40 kg exploded bomb is zero m/s

To Find :-

  • The velocity of smaller piece or velocity of 10 kg exploded bomb .

Solution:-

  • ☆ According to Conservation law of momentum.

\boxed{\blue{\sf{\star{\:Conservation \:law\:of\:Momentum\:-:"(mass)_{1}(velocity)_{1}= (mass)_{2}(velocity)_{2}"}}}}

Or ,

\boxed{\blue{\sf{\star{\:Conservation \:law\:of\:Momentum\:-:"m_{1}v_{1}= m_{2}v_{2}"}}}}

Here ,

  • ( Mass )¹ -: The mass of bigger piece in which bomb is exploded or m¹ = 40 kg .
  • ( Velocity)¹ -: The velocity bigger piece in which bomb is exploded or v¹ = 0 m/s .
  • ( Mass )² -: The mass of smaller piece in which bomb is exploded or m² = 40 kg .
  • ( Velocity)² -: The velocity bigger piece in which bomb is exploded or v² = ?

Now ,

\pink{\sf{\rightarrow { 50 \times 0 = 10  \times v_{2}}}}

\pink{\sf{\rightarrow { \frac { 50 \times 0 }{10}=  v_{2} }}}

\pink{\sf{\rightarrow { \frac {  0 }{10}=  v_{2} }}}

\pink{\sf{\rightarrow { 0 m\s=  v_{2} }}}

Therefore,

\boxed{\purple{\sf{\star{\:v_{2}\:or (velocity)_{2}-:0\:m/s}}}}

Hence ,

\boxed{\purple{\sf{\star{The\:velocity \:of\:bigger \:piece \:or (velocity)_{2}\:is\:-:0\:m/s}}}}

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