Question

momentum of an object is 20 kg m/sec.What will be its momentum if the velocity is reduced to (1/3) of its original magnitude but mass remains the same..
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Answer 1

Answer:

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Explanation:

Answer 2

Answer:

The momentum of an object is 20 kg m/sec. Its momentum if the velocity is reduced to (1/3) of its original magnitude but the mass remains the same will be $6.66\ kgm/s$

Explanation:

• Consider an object of mass m with velocity v and momentum P.

         Its momentum will be the product of mass and velocity. Which is  given by the expression,

          $P = mv$   ....(1)

• In the question, it is given that,

       The momentum of the object  (P) $=20kgm/s$

       Using equation (1),

       $m = \frac{P}{v}$    ....(2)

       Substitute the value of P into equation (2),

       $m= \frac{20}{v}$    ...(3)

       If the velocity is reduced to $\frac{1}{3}$,  its velocity (V) becomes,

       $V= \frac{v}{3}$      ...(4)

      Then the momentum can be obtained by substituting equations(3) and(4) into equation(1),

      $P= m\times \frac{v}{3}$

          $= \frac{20}{v} \times \frac{v}{3}$

          $=\frac{20}{3}= 6.66\ kgm/s$