Question

A light and a heavy body have equal kinetic energy. Which one has a greater momentum?

• A. $theheavybody$
• B. $thelightbody$
• C. $both$
• D. $cannotbesaid$

Answer 1

The correct option is A $theheavybody$

The momentum is the product of mass and velocity. Also Kinetic energy is the energy possess by virtue of motion of the body.
Thus if the Kinetic energy of two bodies is same, that means they are moving with same velocity.
For heavy body
$p_h=m_h.v_h^2$
For light body
$p_l=m_l.v_l^2$
Where
$p_h$ and $p_l$ are momenta for heavy and light body respectively.
$m_h$ and $m_l$ are masses for heavy and light body respectively.
and $v_h$ and $v_l$ are velocities for heavy and light body respectively.
Now if $v_h$ and $v_l$ are same, then more the mass more the momentum.