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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.

Respuesta :

first answer  5400000 
second answer 46

1. The kinetic energy of the train is 5400000 J

2. The tallest hill the train can climb is 45.92 m

1. Determination of kinetic energy of the train

Mass (m) = 12000 Kg

Velocity (v) = 30 m/s

Kinetic energy (KE) =?

The kinetic energy of the train can be obtained as follow:

KE = ½mv²

KE = ½ × 12000 × 30²

KE = 6000 × 900

KE = 5400000 J

2. Determination of the height of the hill the train can climb

Energy (E) = 5400000 J

Mass (m) = 12000 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) =?

E = mgh

5400000 = 12000 × 9.8 × h

5400000 = 117600 × h

Divide both side by 117600

h = 5400000 / 117600

h = 45.92 m

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