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From what height would a car weighing 9990 N have to fall to gain the kinetic energy equivalent...

Question:

From what height would a car weighing 9990 N have to fall to gain the kinetic energy equivalent to what it would have when traveling 64.87 mi/hr?

Conservation Of energy:

According to the conservation of energy, the energy stored within the body can be converted into different forms, for example the potential energy stored within the body can be converted into kinetic energy when the object is allowed to fall down.

Answer and Explanation:

Given

Weight of the car is {eq}W=9990\ N {/eq}

The velocity of the car during falling is {eq}v=64.87\ mi/hr\\ v=64.87\times 0.447\\ v=28.9\ m/s {/eq}

Now form the conservation of energy:

{eq}P.E=K.E\\ mgh=\frac{1}{2}mv^2\\ gh=\frac{1}{2}v^2\\ h=\frac{v^2}{2g}\\ h=42.56\ m {/eq}

Thus, the height from which the car will be falling is 42.56 m


Learn more about this topic:

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Energy Conservation and Energy Efficiency: Examples and Differences

from Geography 101: Human & Cultural Geography

Chapter 13 / Lesson 9
104K

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