Question

The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 10 meters per second, what is the kinetic energy?
200,000 Joules
10,000 Joules
50,000 Joules
5,000 Joules

Answer 1

The kinetic energy of the roller coaster is 2000Joules

Given the formula for expressing the velocity of the roller coaster is given as:

$v = \sqrt{\frac{2k}{1000} }$

Given the following parameter:

v = 10m/s

Substitute the given parameter into the formula to have:

$10 = \sqrt{\frac{2k}{1000} }$

Square both sides of the equation:

$(10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules$

Hence the kinetic energy of the roller coaster is 2000Joules

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