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 at the top of the loop.
To calculate the potential energy at the top of the loop, we first need to find the height above the ground at that point. Since the marble went through a loop with a height of 0.25 m, the height above the ground at the top of the loop is also 0.25 m.
The potential energy (PE) is given by the equation:
PE = m * g * h
where m is the mass of the marble, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height above the ground.
Given:
Mass of marble (m) = 0.006 kg
Height above the ground (h) = 0.25 m
Acceleration due to gravity (g) = 9.8 m/s²
PE = 0.006 kg * 9.8 m/s² * 0.25 m
= 0.0147 Joules (J)
Therefore, the potential energy at the top of the loop is approximately 0.0147 Joules.