At a certain instant, the earth, the moon, and a stationary 1160 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84 x 10^5 km in length.-what is the minimum amount of work that you would have to do to move the spacecraft to a point far from the earth and moon? you can ignore any gravitational effects due to the other planets or the sun.

Explanation:

Initial potential energy of the given spacecraft is given as

so we have

so we have

now total work done to move it to infinite is given

W = 0 - U

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

r = ρ x length / area  

ρ = r x area / length  

ρ is in ohm-meters  

in basic units, it is m³kg/s³a²  

i think this is it.