Answer :
We are given that the potential energy is
$$
PE = 235{,}200 \text{ J},
$$
the height is
$$
h = 30 \text{ m},
$$
and the acceleration due to gravity is
$$
g = 9.8 \text{ m/s}^2.
$$
The formula for potential energy is
$$
PE = mgh,
$$
where $m$ is the mass we need to find. We can solve for $m$ by rearranging the equation:
$$
m = \frac{PE}{gh}.
$$
Substitute the known values:
$$
m = \frac{235{,}200}{9.8 \times 30}.
$$
First, multiply $g$ and $h$:
$$
9.8 \times 30 = 294.
$$
Now, divide $PE$ by $294$:
$$
m = \frac{235{,}200}{294} = 800.
$$
Thus, the mass of the roller coaster is
$$
\boxed{800 \text{ kg}}.
$$
$$
PE = 235{,}200 \text{ J},
$$
the height is
$$
h = 30 \text{ m},
$$
and the acceleration due to gravity is
$$
g = 9.8 \text{ m/s}^2.
$$
The formula for potential energy is
$$
PE = mgh,
$$
where $m$ is the mass we need to find. We can solve for $m$ by rearranging the equation:
$$
m = \frac{PE}{gh}.
$$
Substitute the known values:
$$
m = \frac{235{,}200}{9.8 \times 30}.
$$
First, multiply $g$ and $h$:
$$
9.8 \times 30 = 294.
$$
Now, divide $PE$ by $294$:
$$
m = \frac{235{,}200}{294} = 800.
$$
Thus, the mass of the roller coaster is
$$
\boxed{800 \text{ kg}}.
$$
