Answer
a) 17.632 km
b) 587.877 m/s
c) 400 times smaller than Gasoline
Work Step by Step
Power = Voltage $\times$ current = energy per unit time
So total energy = Voltage $\times$ current $\times$ total time = 12 $\times$ 5 $\times$ (24 $\times$ 3600) = 5184000 J
Energy needed to raise mass to height h = mgh
h = $\frac{5184000}{9.8 \times 30}$ = 17.632 km
Kinetic energy = $\frac{1}{2}mv^{2}$
Therefore, v = $\sqrt \frac{2E}{m}$ = $\sqrt \frac{2\times 5184000}{30}$ = 587.877 m/s
Energy contained per unit mass in battery = energy/mass = 5184000/30
= 172800 J/kg, which is 400 times smaller than that of Gasoline
