Question

A rocket of mass m Is moving with a Velocity v . If it's Velocity becomes three times , calculate the change in your it's kinetic energy .

Answer 1

Mass = m
Original velocity = v
Original Kinetic energy = K.E

New Kinetic Energy = K.E'
When velocity becomes three times the original velocity , new velocity = 3 v

K.E ' = 1/2 m v ²
        = 1/2 × m × (3v)²
        = 1/2 × m × 9v²
        = 9 × 1/2 m v²
K.E ' = 9 × K.E

∴ When velocity is tripled , K.E increases by nine times the original kinetic energy.

Answer 2

k e = 1/2 of mv^2 it's velocity becomes three times velocity is 3v new kinetic energy is 1/2of m(3v)^2 kinetic energy equal to 1/2m9v^2 change in kinetic energy 9 × fist kinetic energy