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The kinetic energy of an object of mass, m moving with a velocity of 5 ms–1 is 25J. What will be its kinetic energy when its velocity is doubled? What will be its kinetic energy when its velocity is increased three times?
Mass of the object = m, velocity of the object = 5ms-1, kinetic energy Ek = 25J
and EK = 1/2 mv2
So, 25 = 1/2 (5)2m
m = (25 x 2)/25
m = 2 kg
Case (i) when the velocity is doubled.
Mass of the object = m = 2 kg
And, v = 2 × 5ms-1 = 10ms-1
∴ Kinetic energy (EK) = 1/2 mv2
(EK) = 1/2 x 2 x 102
EK = 100J
Case (ii) when the velocity is increased three times
i.e., v = 3×5
v = 15ms-1
m = 2 kg
Kinetic energy (EK) = 1/2 mv2
(EK) = 1/2 x 2 x 152
(EK) = 225J
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