Question

Calculate the potential energy of a roller coaster when the coaster is at the top of a 107.1 meter high hill and has a mass of 2,078.1 kg when fully loaded with passengers.

Answer 1

Given:

The mass when fully loaded with passengers is m =2078.1 kg

The height is h = 107.1 m

To find the potential energy of the roller coaster.

Step-by-step explanation:

The potential energy of the roller coaster is given by the formula

`P\mathrm{}E\text{. =mgh}`

Here, g= 9.8 m/s^2 is the acceleration due to gravity.

Substituting the values, the potential energy of the roller coaster will be

`\begin{gathered} P\mathrm{}E\text{. = 2078.1}*9.8*107.1 \\ =2181132.198\text{ N} \end{gathered}`

Final Answer: The potential energy of the roller coaster is 2181132.198 N