A certain load-acid storage battery has a mass of 24kg. Starting from a fully charged state, it can supply 6A for 22 hours with a terminal voltage of 12V before it is totally charged.
1. if the energy strored in the fully charged battery is used to lift the battery with 100% efficiency, what height is attained? Assume that the acceleration due to gravity is 9.8 m/s^(2) and is constant with height.
2. if the stored energy is used to accelerate the battery with 100% efficiency, what velocity is attained?
3. Gasoline contains about rho1=4.5x10^7 J/kg. Compare this with the energy content per unit mass for the fully charged battery (rho2). So (rho1/rho2)=?