Question

Object A has a mass m and a speed v, object B has a mass m/2 and a speed 4v, and object C has a mass 3m and a speed v/3. Rank the objects according to the magnitude of their momentum.

Answer 1

The rank is : $P_B>P_A=P_C$ .

We need to rank the objects according to the magnitude of their momentum.

We know momentum ,$P = m\times v${ here m is mass and v is velocity }

Momentum of object A , $P_A = m v.$

Momentum of object B , $P_B= \dfrac{m}{2}\times4v=2\ mv.$

Momentum of object C  , $P_C= 3m\times\dfrac{v}{3}=mv.$

Now, we can rank them in order of  their magnitude of momentum .

$P_B>P_A=P_C$.

Hence, this is the required solution.

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Momentum

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