Chapter 4.5, Problem 20E

To determine

(a)

To find:

The graph of $v$ versus $R$ including the mass ratios from $1$ to $20$ when $c$ is $4.6$.

To determine

(b)

To find:

If the graph in part a increasing or decreasing and the desirability of the increasing mass ratio.

To determine

(c)

To find:

The smallest mass ratio that will allow the spacecraft to attain the velocity of $7.8\text{kilometers per second}$ with $c=4.6$.