Question

if the momentum of an object is quadrupled , how does its kinetic energy change?

Answer 1

the relation between kinetic energy and momentum is given as

E = p²/2m

now as momentum is quadrupled,

E' = (4p)² / 2m

so, the kinetic energy will be

E' = 8[p² / 2m] = 8E

thus, the kinetic energy will increase eight times.