Question

A 500kg roller coaster starts from rest at point A. Use the equations and the diagram to calculate the potential energy of the roller coaster at point A.

Options:

A) 0 J
B) 250,000 J
C) 50,000 J
D) 100,000 J
E) 125,000 J
F) 10,000 J
G) 25,000 J
H) 200,000 J

Answer 1

The potential energy of a 500kg roller coaster at point A, using the formula PEg = mgh, is calculated to be 245,000 J, which is not listed in the provided options, indicating a possible mistake in the question.

The correct answer is none of all.

Step-by-step explanation:

To calculate the potential energy of the roller coaster at point A, we can use the formula for gravitational potential energy (PEg), which is PEg = mgh where m is mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height above the ground. In this case, the roller coaster has a mass of 500 kg and starts from rest at a height of 50 m. By substituting the given values into the formula, we have:

PEg = (500 kg)(9.8 m/s2)(50 m) = 245,000 J

However, this value is not listed in the provided options. The question likely contains a mistake as none of the options accurately represent the calculated potential energy.