$2.$

$(20$ Points$)$ You have been tasked with designing a battery power system for a spacecraft with the following requirements:

Power Required : $600$ Watts at $12$ VDC

Cycle Time Between Charging: $2$ Hours Continuous Operation

Component Batteries Available: $3\mathrm{.}0$VDC $1000$mAhr Lithium Ion Cells

Max Depth of Discharge Allowed: $35\%$

a$)$

How many batteries are used in this system?

b$)$

What is the energy per string?

c$)$

What is the required energy?

d$)$

What is the total energy available?