As per given equation we have

now as per the dimensional analysis we can say that dimension of right side of equation must be equal to left side of the equation
now as per left side of equation its dimension is same as length or meter
now we can say it should be meter on right side also



similarly for other term we have



<em>so above are the dimensions of b and c</em>
The initial volume of the gas is

while its final volume is

so its variation of volume is

The pressure is constant, and it is

Therefore the work done by the gas is

where the negative sign means the work is done by the surrounding on the gas.
The heat energy given to the gas is

And the change in internal energy of the gas can be found by using the first law of thermodynamics:

where the positive sign means the internal energy of the gas has increased.
Answer:


Explanation:
As the disc is unrolling from the thread then at any moment of the time
We have force equation as

also by torque equation we can say



Now we have



Also from above equation the tension force in the string is


Answer:t=5.07 s
Explanation:
Given
height of Building h=18 m
mass of Paint can 
mass of second can 
let T be the Tension in the rope
For 4 kg can

----1
For 3 kg can

----2
From 1 and 2



So time taken to cover 18 m is




We are going to rewrite each number:
(4.48E-8) = 0.0000000448
(5.2E-4) = 0.00052
We observe that when multiplying, the exponent will be on the order of 10 ^ -11
Doing the multiplication we have:
(4.48E-8) * (5.2E-4) = 2.3296E-11
Rewriting:
(4.48E-8) * (5.2E-4) = 2.33E-11
Answer:
2.33E-11