Answer: It goes inside filling most of it .
Explanation: This happens because the bottle is empty and the bucket is full of water.
The amount of heat needed to increase the temperature of a substance by

is given by

where
m is the mass of the substance

the specific heat capacity

the increase in temperature
In our problem, the mass of the water is m=750 g, the specific heat is

and the amount of heat supplied is

, so if we re-arrange the previous formula we find the increase in temperature of the water:
Answer:

Explanation:
The net force exerted on the mass is the sum of tension force and the external force of gravity.

is the tension force.
is the force of gravity.

where
is the rope's radius from the fixed point.
From the net force equation above:

Hence the tension force is 6.046N
The amount of heat needed to increase the temperature of a substance by

is given by

where m is the mass of the substance, Cs is its specific heat capacity and

is the increase of temperature.
If we re-arrange the formula, we get

And if we plug the data of the problem into the equation, we can find the specific heat capacity of the substance: