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Q6-3MCQ

Expert-verifiedFound in: Page 138

Book edition
7th

Author(s)
Douglas C. Giancoli

Pages
978 pages

ISBN
978-0321625922

**(a) \(\sqrt 2 \). (b) 2. (c) 4. (d) 8.**

The correct answer is option (C).

When the speed of the car is doubled, the kinetic energy increases by a factor of 4.

**The kinetic energy of a particle relies on the mass as well as the speed of the particle. It is directly proportional to the square of the speed. In the standard international system, kinetic energy is measured in terms of Joule (J).**

The formula for the kinetic energy of the car is given by:

\(\begin{aligned}KE = \frac{1}{2}m{v^2}\\KE \propto {v^2}\end{aligned}\)

Here, *m* is the mass of the car, and *v* is the speed of the car.

From the formula of kinetic energy, it is evident that the kinetic energy is affected by the car's speed, which means that it increases with an increase in kinetic energy. When the speed of the car is doubled, the kinetic energy will get quadrupled as it varies with the second power of speed.

Thus, option (c) is the correct answer.

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