The kinetic energy of an object of mass, m moving with a velocity of 5m/s is 25 J. What will be it's kinetic energy when it's velocity is doubled? What will be it's kinetic energy when it's velocity is increased three times?
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Answers
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ANSWER :
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The mass of the object, m = m kg
The speed of the object, v = 5 m/s
The Kinetic Energy, K.E = 25 J
We know that ,
From this ,,,
Kinetic Energy ,K.E = 1/2 × m× (5)^2
25 = 1/2 × m × 25
m = 2 kg
(i) Now the Velocity of the object is doubled,,
v2 = 2v1
= 2( 5)
v2 = 10 m/s
Kinetic Energy, K.E = 1/2 × m × (v2)^2
= 1/2 × 2 × 10^2
= 100 J
The Kinetic Energy is 100 J.
(ii) Now the velocity is tripled ,,
v3 = 3v1
= 3 ( 5)
v3 = 15 m/s
Kinetic energy, K.E = 1/2 × m × (v3)^2
= 1/2 × 2 × (15)^2
= 225 J
The kinetic energy is 225 J
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