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The kinetic energy of an object of mass, m moving with a veloc... - Science
Question
The kinetic energy of an object of mass, m moving with a velocity of 5 m s–1 is 25 J. What will be its kinetic energy when its velocity is doubled? What will be its kinetic energy when its velocity is increased three times?
Answer
Given:
Initial Kinetic Energy (E_k) = 25\text{ J}
Kinetic Energy is directly proportional to the square of velocity (E_k \propto v^2).
1. When velocity is doubled:
The kinetic energy becomes
2^2 (i.e., 4) times the initial value.
New K.E. = 4 \times 25\text{ J}
= 100\text{ J}
2. When velocity is increased three times:
The kinetic energy becomes
3^2 (i.e., 9) times the initial value.
New K.E. = 9 \times 25\text{ J}
= 225\text{ J}
