Answer:If the height is held constant and the mass of the cylinder is increased by a factor of three, the gravitational potential energy will also increase by a factor of three.
The gravitational potential energy refers to the energy possessed by a body by virtue of its position in the gravitational field.
Recall that the gravitational potential energy is given by; mgh
Where;
m = mass
g = acceleration due to gravity
h = height
If the height is held constant and the mass of the cylinder is increased by a factor of three, we can also see that the gravitational potential energy will also increase by a factor of three.
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Explanation:
When the mass of the cylinder increases from 3. 0 kg to 6. 0 kg, the amount of heat generated in the system increases by a factor of 2.
The given parameters:
The amount of heat generated in the system is calculated as follows;
Q = mcΔT
where;
If we keep every other parameters constant and change the mass from 3.0 kg to 6.0 kg, the increase in the heat generated is calculated as follows;
[tex]Q_1 = 3c \Delta T\\\\Q_2 = 6c\Delta T\\\\Q_2 = 2(3c \Delta T)\\\\Q_2 = 2Q_1[/tex]
Thus, when the mass of the cylinder increases from 3. 0 kg to 6. 0 kg, the amount of heat generated in the system increases by a factor of 2.
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