Identify the equation that describes: (a) work done by gravity in moving a mass

Question

Identify the equation that describes: (a) work done by gravity in moving a mass m from point A to B outside earth’s surface; (b) work done by gravity in moving a mass m from point A to B near earth’s surface; (c) gravitational potential difference; (d) electric potential difference; (e) change in gravitational energy of a mass; (f) change in electric potential energy of a charge; (g) work done to move a charge from point A to B; (h) the potential landscape charges create; (i) the potential landscape charges feel. [The hat on top of r identifies it as a unit vector.] Give reasons for your choices beside the equations

Explanation / Answer

here,

(a) work done by gravity in moving a mass m from point A to B outside earth’s surface is

1. Wg = integration(Fg .ds)

(b) work done by gravity in moving a mass m from point A to B near earth’s surface
is

2. Wg = - integration(mg * dy) from y1 to y2

(c) gravitational potential difference is

3.

delta Vg = - integration(g.ds)from A to B

(d) electric potential difference is

4. delta V = - integration(E.ds) from A to B

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