A roller coaster with potential energy of 235,200 J is at the top of a 30 m high hill. What id the mass of the roller coaster?

1 answer

To find the mass of the roller coaster, we can use the following formula:

Potential Energy (PE) = mass (m) x gravity (g) x height (h)

Given:
Potential Energy (PE) = 235,200 J
Height (h) = 30 m
Gravity (g) = 9.81 m/s^2 (acceleration due to gravity on Earth)

235,200 = m x 9.81 x 30

Now, we can solve for the mass (m):

m = 235,200 / (9.81 x 30)
m = 235,200 / 294.3
m ≈ 799.34 kg

Therefore, the mass of the roller coaster is approximately 799.34 kg.