When Traveling At Top Speed, A Roller Coaster Train With A Mass Of 12,000 Kg Has A Velocity Of 30 M/S. The Kinetic Energy Of The Train At Top Speed .,

When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed .

Given this kinetic energy, what is the tallest hill this roller coaster train can reach the top of?

The train can climb a hill that is m high.

$KE_{max}=\frac{1}{2}mv_{max}^{2}$

$KE_{max}=\frac{1}{2}\times12000\times(30)^{2}$

$KE_{max}=\frac{1}{2}\times12000\times900$

$KE_{max}= 6000\times900=5400000J$

Kinetic energy at maximum speed is 5400KJ

When train reaches maximum height whole Kinetic energy is converted to Potential energy.

$PE_{max} = KE_{max}$

$mgh_{max} = 5400000$

$h_{max} = \frac{5400000}{2mg}$

$h_{max} = \frac{5400000}{2\times12000\times10}$

$h_{max} =\frac{270}{12}=22.5 m$

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