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Which has greater kinetic energy, a car traveling at 30 km/h or another car of half the mass...

Question:

Which has greater kinetic energy, a car traveling at 30 km/h or another car of half the mass traveling at 60 km/h?

Kinetic energy:

The kinetic energy is the energy of an object when it is moving. If an object has its definite velocity then it has kinetic energy.

The kinetic energy is given as {eq}KE = 0.5\ m\ v^ 2 {/eq}

If the velocity is doubled then the energy is four-time of the original energy.

Answer and Explanation:

The kinetic energy of a car travelling at 30 km/h is,

{eq}E_1= 0.5\ m\times (30^2)\\ E_1 = 450\ m\\ {/eq}

The kinetic energy of another car of half the mass at 60 km/h is,

{eq}E_2 = 0.5\times 0.5\ m\times 60^2\\ E_2 = 900\ m\\ {/eq}

The kinetic energy of the second car is greater.


Learn more about this topic:

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Kinetic Energy: Examples & Definition

from General Studies Science: Help & Review

Chapter 4 / Lesson 14
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