Two forces,one of 12 N and another of 24 N,act on a body in such a way that they make an angle of 90degree with each other.Find
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Answer:
Rise in level of fluid is 0.11 m
Rise in level of fluid in case of mercury is 0.728 cm or 7.28 mm
Solution:
As per the question:
Density of oil,
Change in Pressure in the tank,
Density of the mercury,
Now,
To calculate the rise in the level of fluid inside the manometer:
We know that:
1 mmHg = 133.332 Pa
Thus
Also,
where
g = acceleration due to gravity
h = height of the fluid level
h = 0.11 m
Now, if mercury is used:
h = 0.00728 m = 7.28 mm
When the iron and the water reach thermal equilibrium, they have same temperature, 
.
We can consider this as an isolated system, so the heat released by the water is equal to the heat absorbed by the iron.
The hear released by the water is:
where
is the water mass, 
is the specific heat of the water, and 
is the variation of temperature of the water.
Similarly, the heat absorbed by the iron is:
where
is the iron mass, 
is the iron specific heat, and 
is the variation of temperature of the iron.
Writing
and replacing the numbers, we can solve to find mw, the mass of the water:
We can consider this as an isolated system, so the heat released by the water is equal to the heat absorbed by the iron.
The hear released by the water is:
where
Similarly, the heat absorbed by the iron is:
where
Writing