Acceleration of water drops problem

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SUMMARY

The discussion centers on calculating the speed of freely falling raindrops, specifically using the equation vf^2 = vo^2 + 2as. The user initially misapplies the acceleration value, mistakenly using -9.8 m/s² instead of the correct positive value of 9.8 m/s² for downward acceleration. This leads to an incorrect calculation of vf^2 = -3920. Participants recommend using "University Physics" for preparing for physics olympiad problems, emphasizing the importance of understanding the correct application of physical equations.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Familiarity with concepts of acceleration due to gravity
  • Basic algebra skills for solving equations
  • Knowledge of physics textbooks, specifically "University Physics" and "Fundamental Physics"
NEXT STEPS
  • Review kinematic equations and their applications in free fall scenarios
  • Study the concept of gravitational acceleration and its implications
  • Explore problem-solving techniques for physics olympiad questions
  • Read "University Physics" to strengthen foundational knowledge in physics
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High school students preparing for physics olympiads, educators teaching kinematics, and anyone interested in mastering the principles of free fall and gravitational acceleration.

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Homework Statement



If the effects of air acting on falling raindrops are ignored, then we can treat raindrops as freely falling objects. Rain clouds are typically a few hundred feet up in the sky. Estimate the speed which raindrops would strike the ground if they were freely falling objects.

Homework Equations



vf^2=vo^2+2as
vf-TARGET
v0- 0
s- 200
a- -9.8

The Attempt at a Solution


Ok I know the answer, but I don't understand something. What I did was put all my knowns into the equation. Then this is what it looks like.
vf^2= -3920
That is obviously unreal. Then I see that there is a problem with the acceleration. WHY? I thought acceleration of freely falling objects was -9.8.
 
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Oh and by the way this is not homework. My goal is to make the iPHO in my high school years. This problem is from University Physics. Which book do you pros recommend to prepare for olympiad problems? University Physics or Fundamental Physics or others?
 


s and a are both negative here.
 


If I'm not mistaken, the acceleration of freely falling objects near the surface of the Earth is 9.8 m/s2, so a would be 9.8, try plugging that into the equation. :smile:
 
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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