Question

An object is moving in a straight line with constant velocity has kinetic energy E and mimentum P . if the speed of the object is doubled the new value of its momentum and kinetic energy becom

Answer 1

let initial speed be v

then

E=1/2mv²

P=mv

new speed be v'

v'=2v

E'=1/2mv'²

=1/2m(2v)²

=1/2m*4v

=4E

P'=mv'

=m*2v

=2P

new kinetic energy is 4 times the original and new momentum is twice the original

hope this helps

Answer 2

FOR AN OBJECT

K.E.=1/2mv^2

K.E. directly proportional to v^2

so if velocity is doubled

K.E. becomes 2^2 i.e. 4 times .

Assuming P to be linear momentum

P=mv

P directly proportional to v^1

if velocity is doubled momentum is 2^1 times i.e. 2 times