Question

the kinetic energy of an object of mass m moving with a velocity of 5m s is 25j what will be its kinetic energy when its velocity is increased three times

Answer 1

If the velocity of an object is doubled, then its kinetic energy becomes 4 times the original value, because it is proportional to the square of the velocity. Hence, kinetic energy = 25 × 4 = 100 J. ... Hence, kinetic energy = 25 × 9 = 225 J.

Answer 2

Answer:

given kinetic energy = 25J

velocity = 5m/s

therefore, let mass be = x

=> ½mv² = 25

=> m/2 = 25/25

=> m = 2kg

therefore, if the velocity is tripled ,

then velocity = 15m/s

therefore kinetic energy = ½mv²

= 2×225/2

= 225J

so, difference between final and initial energy

= 225/25

= 9times the initial energy.

Hence the energy increases by 9 times the initial energy.

Hope it helped :)