A bullet is fired fram a riffie . If the rifle recoils freely determine whether the kinetic energy of the rifle is greater then , equal or less then that of the bullet .

Options

A. less than that of the bullet
B. more than that of the bullet
C. same as that of the bullet
D. equal or less than that of the bullet

Answer

A

Explanation

Momentum of bullet = momentum of rifle `= p`
`K_("bullet") = (p^(2))/(2m) , m`: mass of bullet
`K_("rifle") = (p^(2))/(2 M) , M `: mass of rifle
Since `M gt m , K_("rifle") lt K_("bullet")`