Explanation:
Given that,
Weight of water = 25 kg
Temperature = 23°C
Weight of mass = 32 kg
Distance = 5 m
(a). We need to calculate the amount of work done on the water
Using formula of work done



The amount of work done on the water is 1568 J.
(b). We need to calculate the internal-energy change of the water
Using formula of internal energy
The change in internal energy of the water equal to the amount of the work done on the water.


The change in internal energy is 1568 J.
(c). We need to calculate the final temperature of the water
Using formula of the change internal energy





The final temperature of the water is 23.01°C.
(d). The amount of heat removed from the water to return it to it initial temperature is the change in internal energy.
The amount of heat is 1568 J.
Hence, This is the required solution.
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Answer:
324.3Nm
Explanation:
The torque is given by the equation

in this case the vectors r and F are perpendicular between them, thus:

The forces acting on the mass are:
(1)
where T is the tension of the cable, M is the mass and a is the acceleration.
Furthermore, we have that the acceleration is:

By replacing in (1) we can obtain:

The force T produces the torque on the pulley, hence:

the answer is 324.4Nm
hope this helps!