Question

Read the scenario and solve these two problems. 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 isJ. 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 ism high.

Answer 1

Answer :

Kinetic energy = 5400000 J

Height, h = 45.91 m

Explanation :

It is given that,

Mass of the roller coaster train, m = 12,000 kg

Velocity of the train, v = 30 m/s

Kinetic energy is given by :

$KE=\dfrac{1}{2}mv^2$

$KE=\dfrac{1}{2}\times 12000\ kg\times (30\ m/s)^2$

$KE=5400000\ J$

So, the kinetic energy of the train at the top speed is 5400000 J.

For height

According to law of conservation of energy :

$PE_i+KE_i=PE_f+KE_f$

$0+5400000\ J=mgh+0$

$5400000\ J=mgh$

h is the height.

$5400000\ J=12000\ kg\times 9.8\ m/s^2\times h$

$h=45.91\ m$

Hence, this is the required solution.                          

Answer 2

First answer  5400000 
second answer 46