Question

An astronaut and his gear are at rest with respect to his shuttlecraft . The astronaut and the shuttlecraft are initially separated by a distance of m. If the astronaut moves farther away from the shuttlecraft to a distance of m, what is the change in gravitational potential energy for the astronaut–shuttlecraft system?

Answer 1

`\Delta F = (Gm_Am_S)[-(1)/(r_2)+(1)/(r_1)]`

Step-by-step explanation:

We need the Gravitational Potential Energy equation to give solution to this problem.

This equation is,

`F=(-Gm_1m_2)/(r)`

Where r is the distance between the corps.

The rate from this gravitational potential energy is given by,

`\Delta F = (-Gm_Am_S)/(r_2) - ((Gm_Am_S)/(r_1))`

`\Delta F = (Gm_Am_S)[-(1)/(r_2)+(1)/(r_1)]`

You need only replace the values to find the Energy.