Solving the Watermelon Drop Physics Problem: Step-by-Step Guide

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SUMMARY

The Watermelon Drop Physics Problem involves calculating the height of a building based on the time it takes for a watermelon to fall and the sound of its impact to reach the observer. The total time of 2.50 seconds includes both the fall time of the watermelon and the time for sound to travel back up at a speed of 340 m/s. The correct approach requires setting up the equations for both the fall time and the sound travel time, leading to the equation: total time = fall time + sound travel time. This method ensures accurate calculation of the building's height.

PREREQUISITES
  • Understanding of basic physics concepts, specifically free fall and sound propagation.
  • Familiarity with kinematic equations for uniformly accelerated motion.
  • Knowledge of the speed of sound in air (340 m/s).
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Study kinematic equations for free fall to understand the relationship between time, distance, and acceleration.
  • Learn how to derive equations for sound travel time based on distance and speed.
  • Practice solving similar physics problems involving multiple time components.
  • Explore the effects of air resistance on falling objects for a more comprehensive understanding.
USEFUL FOR

Physics students, educators, and anyone interested in solving real-world physics problems involving motion and sound. This discussion is particularly beneficial for those preparing for exams or enhancing their problem-solving skills in physics.

Alanf718
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Ok Iam having problems again with yet something else.

The problem states that

A physics student with too much free time drops a water melon from the roof of a building. He hears the sound of the watermelon going splat 2.50s later. How high is the building? The speed of sound is 340m/s. You may Ignore air restiance.

Well I tried solving this by replacing t by

t= 2.5 - (deltaY/340);

but the book tells me a completely different answer. Can anyone show me how to do this one?
 
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The time it takes until you hear the sound from the moment it is dropped is the times it takes the melon to fall to the ground plus the time it takes for sound to go from the ground to the top of the building.
Write down the equation for this and solve for the height.
 
thats what i did with
t= 2.5 - (deltaY/340);

but I don't get the right answer
 
Why don't you elaborate on what you've done?
What method did you use exactly. You replaced t by 2.5 - (deltaY/340) in what equation? What answer did you get?

Try giving an expression for the amount of time it takes for the melon to drop to the ground. Then for the amount of time it takes for sound to travel up the length of the building.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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