Question

You've been hired to make a roller coaster more exciting by doubling the speed of the coaster at the bottom of a drop. How much taller does the drop need to be (ignoring friction)?

Answer 1

Answer:

the height must be increased by 4 times the initial height

Explanation:

As we know by mechanical energy conservation law

initial total potential energy = final kinetic energy

so we have

$mgH = \frac{1}{2}mv^2$

so we have

$v = \sqrt{2gH}$

now we know that the speed is to be doubled

so the height must be increased by 4 times the initial height

#Learn

Topic : mechanical energy conservation

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