By what factor the velocity of a body should be increased so that its Kinetic energy is increased by a factor of nine
Kinetic energy is equal to 1/2m speed ^2
so let speed be x
energy=1/2m x^2
Now speed =3x
then new energy=1/2m (3x)^2
=1/2 m 9 (x)^2
Energy becomes 9 times the former energy
so let speed be x
energy=1/2m x^2
Now speed =3x
then new energy=1/2m (3x)^2
=1/2 m 9 (x)^2
Energy becomes 9 times the former energy