Answer:
![W=-\int_{0}^{50}[150-0.5y]dy](https://tex.z-dn.net/?f=W%3D-%5Cint_%7B0%7D%5E%7B50%7D%5B150-0.5y%5Ddy)
Explanation:
the integral for the work is:

the work is against the gravitational force. While the coal is going up, M(y) is changing due to the length of the cable is lower. We can describe this by using the following formula

Thus , the integral for the work is:
![W=-\int_{0}^{50}[150-0.5y]dy](https://tex.z-dn.net/?f=W%3D-%5Cint_%7B0%7D%5E%7B50%7D%5B150-0.5y%5Ddy)
hope this helps!!
Answer:
The final volume is 
Explanation:
<u>Data:</u>
Initial temperature:
Final temperature: 
Initial pressure: 
Final pressure: 
Initial volume:
Final volume: 
Assuming hydrogen gas as a perfect gas it satisfies the perfect gas equation:
(1)
With P the pressure, V the volume, T the temperature, R the perfect gas constant and n the number of moles. If no gas escapes the number of moles of the gas remain constant so the right side of equation (1) is a constant, that allows to equate:

Subscript 2 referring to final state and 1 to initial state.
solving for V2:


The acceleration of the first block (4 kg) is -9.8 m/s².
The given parameters:
- <em>Mass of the first block, m₁ = 4.0 kg</em>
- <em>Mass of the second block, m₂ = 2.0 kg</em>
The net force on the system of the two blocks is calculated as follows;

where;
- <em>T </em><em>is the tension in the connecting string due weight of the first block</em>

Thus, the acceleration of the first block (4 kg) is -9.8 m/s².
Learn more about net force on two connected blocks here: brainly.com/question/13539944