Question

a roller coaster train with a mass of 500 kg stops at the top of a hill. if the hill is 110 m high, what is the potential energy of the train?
4,900 j
5,612 j
55,000 j
539,000 j

Explanation:

Step1: Recall the formula for gravitational potential energy

The formula for gravitational potential energy \(U = mgh\), where \(m\) is the mass, \(g\) is the acceleration due to gravity (\(g = 9.8\space m/s^{2}\)), and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(m = 500\space kg\), \(h=110\space m\), and \(g = 9.8\space m/s^{2}\).

$$
LATEXBLOCK0
$$

Answer:

\(539,000\space J\) (the fourth option)