If the kinetic energy of two unequal weights is the same, the heavier mass has:

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lesser momentum

equal momentum

greater momentum

Can't say

answer is C.

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Detailed Solution

Kinetic energy is the energy possessed by a body as a result of its motion.

The expression for kinetic energy is given by:

$K E = \frac{1}{2} m v^{2}$

Here m= mass of the body and v= velocity of the body
Momentum (p): The product of mass and velocity is called momentum.
Momentum $(p) = mass (m) \times$ velocity (v)
According to question
$K_{1} E_{1} = K \cdot E_{2} = K \cdot E (let say)$
The following is the relationship between momentum and kinetic energy: $P = \sqrt{2 m K . E}$
But as K.E is same
$∴ P \propto \sqrt{m}$
$Or, \frac{P_{1}}{P_{2}} = \sqrt{\frac{m_{1}}{m_{2}}}$
Then, if $m_{1} > m_{2}$ then $p_{1} > p_{2}$
When two unequal weights have the same kinetic energy, the heavier mass has more momentum. As a result, option 3 is right.