Answer:
Part a)
V = 15 Volts
Part b)
P = 180 Watt
Part c)
Rate = 720 Watt
Explanation:
Part a)
When battery is in charging then the potential difference of the terminals of cell is given by

here we know that
EMF = 12 volts
i = 60 A
r = 0.050 ohm
now we have

Part b)
Rate of thermal energy dissipated is the energy which is dissipating across the resistor
so here we have


P = 180 Watt
Part c)
Rate at which Energy stored inside the cell is the rate of electrical energy that is converted into the chemical energy



To solve the problem it is necessary to apply the concepts given in the kinematic equations of angular motion that include force, acceleration and work.
Torque in a body is defined as,

And in angular movement like

Where,
F= Force
d= Distance
I = Inertia
Acceleration Angular
PART A) For the given case we have the torque we have it in component mode, so the component in the X axis is the net for the calculation.

On the other hand we have the speed data expressed in RPM, as well


Acceleration can be calculated by



In the case of Inertia we know that it is equivalent to


Matching the two types of torque we have to,




PART B) The work performed would be calculated from the relationship between angular velocity and moment of inertia, that is,



It is like that, except most nails are steel or stainless steel, slowing to rusting process to about 5 years.