College

We appreciate your visit to A roller coaster with a potential energy of tex 235 200 text J tex sits at the top of a 30 m high hill What. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A roller coaster with a potential energy of [tex]$235,200 \, \text{J}$[/tex] sits at the top of a 30 m high hill. What is the mass of the roller coaster?

(Formula: [tex]PE = mgh[/tex])

A. 800 kg
B. 7,840 kg
C. [tex]8,000 \, \text{kg}[/tex]
D. [tex]78,400 \, \text{kg}[/tex]

Answer :

We are given the potential energy formula

[tex]$$
PE = mgh,
$$[/tex]

and we need to solve for the mass [tex]$m$[/tex]. Rearranging the equation, we have

[tex]$$
m = \frac{PE}{gh}.
$$[/tex]

Substitute the given values: the potential energy is [tex]$235\,200 \, \text{J}$[/tex], the gravitational acceleration is [tex]$9.8 \, \text{m/s}^2$[/tex], and the height is [tex]$30 \, \text{m}$[/tex]:

[tex]$$
m = \frac{235\,200}{9.8 \times 30}.
$$[/tex]

First, calculate the product in the denominator:

[tex]$$
9.8 \times 30 = 294.
$$[/tex]

Now, divide the potential energy by this product:

[tex]$$
m = \frac{235\,200}{294} = 800.
$$[/tex]

Thus, the mass of the roller coaster is

[tex]$$
\boxed{800 \, \text{kg}}.
$$[/tex]

Thanks for taking the time to read A roller coaster with a potential energy of tex 235 200 text J tex sits at the top of a 30 m high hill What. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada