Question

Which of the following statements about kinetic energy (K.E.) is true?

• A. All objects moving with the same velocity have the same K.E
• B. The K.E. of a body will quadruple if its velocity doubles
• C. As the velocity of a body increases, its K.E. decreases
• D. The K.E. of a body is independent of its mass

Answer 1

The correct option is B The K.E. of a body will quadruple if its velocity doubles

$K.E=\frac{1}{2}m{v}^2$

$K.E\propto v^2$

$\therefore$ The K.E. of a body will quadruple (4 times) if its velocity doubles.