Kinetic energy and momentum relationships

Questions relating kinetic energy to linear momentum, such as finding momentum ratios given equal kinetic energies or vice versa.

jee-main 2006 Q5 View
A player caught a cricket ball of mass 150 g moving at a rate of $20$ m/s. If the catching process is completed in 0.1 s, the force of the blow exerted by the ball on the hand of the player is equal to
(1) 300 N
(2) 150 N
(3) 3 N
(4) 30 N
jee-main 2025 Q6 View
Q6. Four particles $A , B , C , D$ of mass $\frac { m } { 2 } , m , 2 m , 4 m$, have same momentum, respectively. The particle with maximum kinetic energy is :
(1) $B$
(2) $A$
(3) $D$
(4) $C$