A certain lead-acid storage battery has a mass of 33 kg . Starting from a fully charged state, it can supply 6 A for 20 hours with a terminal voltage of 24 V before it is totally discharged.

a. If the energy stored in the fully charged battery is used to lift the battery with 100-percent efficiency, what height is attained? Assume that the acceleration due to gravity is 9.8 m/s2 and is constant with height.

b. If the stored energy is used to accelerate the battery with 100 percent efficiency, what velocity is attained?

c. Gasoline contains about rho1 = 4.5×107 J/kg. Compare this with the energy content per unit mass for the fully charged battery (rho2).

ans: rho2/ rho1=?