If velocity of a body is twice of previous velocity then kinetic energy will become ........

General Science (Easy) Physics

If velocity of a body is twice of previous velocity, then kinetic energy will become

2 times

1/2 times

4 times

1 times

- Kinetic energy (K.E.) is given by the formula: \( K.E. = \frac{1}{2} m v^2 \).

- If the velocity doubles, new velocity = \( 2v \).

- New K.E. = \( \frac{1}{2} m (2v)^2 = \frac{1}{2} m \times 4v^2 = 4 \) times the previous K.E.

- Option 1: 2 times — Incorrect. K.E. increases with the square of velocity, not linearly.

- Option 2: 1/2 times — Incorrect. K.E. would decrease if velocity decreased.

- Option 3: 4 times — Correct! Because \( (2)^2 = 4 \).

- Option 4: 1 times — Incorrect. That means no change in K.E.

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