In july of 1999 a planet was reported to be orbiting the sun-like star iota horologii with a period of 320 days. find the radius of the planet's orbit, assuming that iota horologii has the same mass as the sun. (this planet is presumably similar to jupiter, but it may have large, rocky moons that enjoy a relatively pleasant climate.)

Explanation:

To solve this problem we need to apply Kepler's third law.

Kepler's third law tells us that

Where

T= 320Days ( Period)

r = radius

G =   Gravitational constant

M = Mass of the object, sun in this case

Then,

We need to re-arrange for R, so

Replacing

Therefore the radius of the star is

potential energy is directly proportional to height.

more height = more potential energy.

greatest increase in height = greatest increase in potential energy

where are the points with the greatest increase in height ?

has to be c-e or d-e .

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.