let’s say a marble that weighed 0.006 kg was on a 1 m tall ramp. It went down the ramp at a velocity of 4.4 (m/s) and went through a loop with a height of 0.25 m. The marbles ending velocity as it was at the end of the loop and end of the ramp was at a velocity of 1.7 (m/s). Calculate the amount of potential energy the marble has at the start, the roller coaster

Question

let’s say a marble that weighed 0.006 kg was on a 1 m tall ramp. It went down the ramp at a velocity of 4.4 (m/s) and went through a loop with a height of 0.25 m. The marbles ending velocity as it was at the end of the loop and end of the ramp was at a velocity of 1.7 (m/s). Calculate the amount of potential energy the marble has at the start, the roller coaster

Answer 1

To calculate the potential energy of the marble at the start, we can use the formula:

Potential Energy (PE) = mass (m) * gravitational acceleration (g) * height (h)

Given:
mass of marble (m) = 0.006 kg
height of ramp (h) = 1 m
gravitational acceleration (g) = 9.8 m/s^2 (approximate value on Earth)

PE_start = 0.006 kg * 9.8 m/s^2 * 1 m
PE_start = 0.0588 J (Joules)

So, the potential energy of the marble at the start of the roller coaster is approximately 0.0588 Joules.