Which parts of the roller coaster determine the amount of potential energy in the system? Explain your answer.
1 answer:
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Answer:
The radius r of the metal sphere.
Explanation:
From Gauss's law we know that for a spherical charge distribution with charge , the electrical field at distance
from the center of the sphere is given by
What is important to notice here is that the radius of the sphere does not matter because any test charge sitting at distance feels the force as if all the charge
were sitting at the center of the sphere.
This situation is analogous to the gravitational field. When calculating gravitational force due to a body like the sun or the earth, we take not of only the mass of the sun and the distance from it's center; the sun's radius does not matter because we assume all of its mass to be concentrated at the center.
Answer:
The orbital speed is approximately 17,325.57 m/s
The number of Earth days it would take lo to complete its orbit is approximately 1.77 days
Explanation:
The given parameters are;
The mass of lo, m ≈ 7.22 × 10²² kg
The radius of lo, R ≈ 1.82 × 10⁶ m
The mean distance between Jupiter and lo = 4.22 × 10⁸ m
The orbital equation is given as follows;
The orbital speed ≈ 17,325.57 m/s
The time to complete one orbit = (2 × π × 4.22 × 10⁸)/(17325.57) ≈ 153039.94 s
The time to complete one orbit ≈ 153039.94 s ≈ 1.77 days
The number of Earth days it would take lo to complete its orbit ≈ 1.77 days.