Answer:
Following are the solution to the given question:
Explanation:
For charging plates that are connected in a similar manner:
Calculating the total charge:

Calculating the common potential:
Calculating the charge after redistribution:
Answer: 
Explanation:
A direct proportionality means a linear relationship between two variables and rate of change means an application of derivatives. Hence, the mathematical model is:

Answer:
The minimum work per unit heat transfer will be 0.15.
Explanation:
We know the for a heat pump the coefficient of performance (
) is given by

where,
is the magnitude of heat transfer between cyclic device and high-temperature medium at temperature
and
is the required input and is given by
,
being magnitude of heat transfer between cyclic device and low-temperature
. Therefore, from above equation we can write,

Given,
and
. So, the minimum work per unit heat transfer is given by

Answer:
the potential energy will also change
Explanation:
kinetic energy and potential energy are inversely proportional to each other, so if kinetic energy changes, potential energy will also change..