Question

The roller coaster has a mass of 600 kg and has a potential energy of 46,000J. What is the height of the roller coaster car?

Answer 1

The height of the roller coaster car is: h = 7.8 m

Explanation:

Given

Mass m = 600 kg

Potential Energy P.E = 46,000J

To determine

Height h = ?

Using the formula

P.E = mgh

Here:

• m is the mass

• g is the gravitational acceleration (9.8 m/s²)

• h is the height

so substituting m = 600 kg, P.E = 46,000J, and g = 9.8

P.E = mgh

46000 = 600 × 9.8 × h

h = 46000 / 5880

h = 7.8 m

Therefore, the height of the roller coaster car is: h = 7.8 m