Two bodies of masses $m_{1} a n d m_{2} (> m_{1})$ have equal kinetic energies. Which body possesses greater linear momentum.

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Solution

Step 1: Given Data
Mass of 2 bodies = $m_{1} a n d m_{2} w h e r e m_{2} > m_{1}$
The kinetic energy of the 2 bodies is equal.
Step 2: Relation between kinetic energy and linear momentum
$p^{2} = K . E x 2 m$ , where p is the linear momentum, K.E is the kinetic energy and m is the mass.
Step 3: Finding the body possesses greater linear momentum
As kinetic energy remains equal for both the bodies,
$p^{2} α m p α \sqrt{m}$
So, the greater the mass, the greater the linear momentum.
Hence, the body $m_{2}$ possesses greater linear momentum as it has greater mass.

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