# How Do You Calculate the Height of a Waterfall Based on Temperature Change?

• echoindia756
In summary, the conversation is about a student seeking help in solving a physics question regarding a waterfall. The question involves determining a value for h and the conversation leads to discussing the equations for potential energy and change in energy. The final solution is h = C/g.
echoindia756
Working out a value for H!?

Hi there!

I'm a new student to physics and I'm still learning a lot about it.
Our teacher recently gave a question and I'm not sure how to work out the answer, can anyone help me?

So here it goes:
Here's a waterfall (See pic), the water at the bottom of the waterfall is 1C hotter than the water at the top of the waterfall.

How would I work out a value for h?

Please see picture below for diagram

Any help much appreciated!

Here is my attempt at solving the problem:

E = MC (delta) theta

= (Mass of water) (4200) ( theta + 1)--------------------------------------------
Potential energy = mgh

= M(9.8)(h)
--> 9.8mh = 4200 (mass)( theta + 1)

--> 9.8h = 4200( theta + 1)

Last edited:

Welcome to PF.

4200 or 4186 the method looks sound.

LowlyPion said:
Welcome to PF.

4200 or 4186 the method looks sound.

Right I understand that but I can't seem to get any further than the above.

echoindia756 said:
Right I understand that but I can't seem to get any further than the above.

Sorry I thought you had it.

Examine then the ΔE which by your equation can be written as

ΔE = m*C*ΔT

mgh = mC*ΔT

gh = C*ΔT

For a 1° change then

h = C/g

## 1. What is "H" in scientific terms?

"H" is the symbol used to represent the Planck constant in physics. It is a fundamental constant that relates the energy of a photon to its frequency.

## 2. Why is it important to work out a value for H?

Calculating the value of Planck's constant is crucial for understanding the behavior of particles and energy at the atomic and subatomic level. It is also used in many important equations in various fields of physics and chemistry.

## 3. How is the value of H determined?

The value of Planck's constant is determined through experiments and measurements using specialized instruments such as a Kibble balance or a Josephson junction. These experiments involve accurately measuring the relationship between energy and frequency of photons.

## 4. What is the current accepted value for H?

The current accepted value for Planck's constant is 6.62607015 × 10^-34 joule seconds (J·s). This value was determined by the Committee on Data for Science and Technology (CODATA) in 2018 and is used in many scientific calculations.

## 5. Has the value of H changed over time?

Yes, the value of Planck's constant has been refined over time as measurement techniques and technology have improved. The first accurate measurement was done in 1913 by Max Planck himself, and the value has been updated several times since then as more precise measurements were made.

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