Question

Насколько градусов нагревается вода у основания водопада высотой 10 м? Считать, что на нагревание воды идет 50% механической энергии.

Answer 1

mgh/2=cm(t2-t1), отсюда (t2-t1)=gh/2c=0,1 C

Answer 2

Calculation of Water Temperature at the Base of a 10m Waterfall

To calculate the temperature increase of water at the base of a waterfall, we need to consider the mechanical energy converted into heat. According to the information provided, 50% of the mechanical energy is converted into heat.

Let's break down the calculation step by step:

1. Calculate the potential energy of the water at the top of the waterfall using the formula: potential energy = mass × gravity × height. - The height of the waterfall is given as 10m. - The acceleration due to gravity is approximately 9.8 m/s^2.

Therefore, the potential energy of the water at the top of the waterfall is: potential energy = mass × 9.8 m/s^2 × 10m.

2. Calculate the mechanical energy of the water at the top of the waterfall using the formula: mechanical energy = potential energy. - Since the water is at rest at the top of the waterfall, there is no kinetic energy.

3. Calculate the heat energy generated at the base of the waterfall using the formula: heat energy = 50% × mechanical energy. - The given information states that 50% of the mechanical energy is converted into heat.

4. Calculate the temperature increase of the water using the formula: temperature increase = heat energy / (mass × specific heat capacity). - The specific heat capacity of water is approximately 4.18 J/g°C.

Therefore, the temperature increase of the water at the base of the waterfall is: temperature increase = (50% × mechanical energy) / (mass × 4.18 J/g°C).

Unfortunately, the search results provided do not contain the necessary information to determine the mass of the water or the specific heat capacity of water. Without these values, it is not possible to calculate the exact temperature increase.

If you have any additional information or if there is anything else I can assist you with, please let me know!