Question

if the momentum is increased by4 times then what will the change in kinetic energy​

Answer 1

Answer:

the kinetic energy will be increase by twice

Answer 2

Answer:

kinetic energy will be 16 times of the initial energy

Explanation:

momentum P =mv

where m is the mass and v is the velocity. Here mass is constant for particular body so velocity has to change here.

New momentum =4p = m(4v) =4mv

when velocity is changed to 4v, then change in kinetic energy will be

$KE \propto v^2\\ KE \propto (4v)^2\\ KE \propto 16v$

kinetic energy will be 16 times of the initial