A light body and a heavy body have same kinetic energy.which one has a greater linear momentum
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LET US SUPPOSE THAT THE LIGHT BODY HAS A MASS m AND VELOCITY v RESPECTIVELY AND THE HEAVIER BODY HAS A MASS M AND VELOCITY V RESPECTIVELY.
GIVEN THAT,
m<M.......MULTIPLYING BOTH SIDES BY v..
mv<Mv......
p<Mv.....WHERE p IS LINEAR MOMENTUM OF LIGHT BODY.....
MULTIPLYING BOTH SIDES BY V
pV<MVv
pV< Pv...WHERE P IS LINEAR MOMENTUM OF HEAVIER BODY
GIVEN THAT
1/2*(mv^2)=1/2*(MV^2)
WHERE m<M
THIS IMPLIES THAT V<v
OR pV/v<P
AS V/v<1....
SO P<p.....THIS MEANS THAT THE LINEAR MOMENTUM OF LIGHTER BODY IS GREATER THAN THAT OF HEAVIER BODY
GIVEN THAT,
m<M.......MULTIPLYING BOTH SIDES BY v..
mv<Mv......
p<Mv.....WHERE p IS LINEAR MOMENTUM OF LIGHT BODY.....
MULTIPLYING BOTH SIDES BY V
pV<MVv
pV< Pv...WHERE P IS LINEAR MOMENTUM OF HEAVIER BODY
GIVEN THAT
1/2*(mv^2)=1/2*(MV^2)
WHERE m<M
THIS IMPLIES THAT V<v
OR pV/v<P
AS V/v<1....
SO P<p.....THIS MEANS THAT THE LINEAR MOMENTUM OF LIGHTER BODY IS GREATER THAN THAT OF HEAVIER BODY
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