How to Find Δh for Gravitational Potential Energy Using Trigonometry?

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Discussion Overview

The discussion revolves around finding the vertical height difference (Δh) necessary for calculating gravitational potential energy in a specific physics problem involving two spheres. The focus is on applying trigonometry to determine this height difference based on a given diagram.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant seeks clarification on how to calculate Δh, referencing a specific problem and solution that involves trigonometric functions.
  • Another participant suggests that understanding basic trigonometry is essential to solve the problem.
  • A later reply indicates that the participant has some knowledge of trigonometry but finds this particular problem challenging.
  • Hints are provided to visualize the problem by drawing a right triangle to aid in understanding the relationship between the spheres and the height difference.
  • A participant expresses realization and gratitude after receiving hints, indicating a shift in their understanding of the problem.

Areas of Agreement / Disagreement

Participants generally agree on the need for trigonometric understanding to solve the problem, but there is no consensus on the specific approach until hints are provided.

Contextual Notes

Some assumptions about the diagram and the specific values involved may not be fully articulated, which could affect the clarity of the problem-solving process.

mutineer
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In this question 3 bi
http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_w07_qp_2.pdf

to find gravitaional poteintial energy we need to find Δh. which is the vertical difference between the two spheres shown in the diagram. How do i find that?

Answer says (61 – {61 cos18} =) 3.0 cm, I can't figure out how?
 
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You'll have to learn basic trigonometry before you can solve the exercise.
 


torquil said:
You'll have to learn basic trigonometry before you can solve the exercise.

I have, but this ones kinda proving tough. Maybe the solution is staring at my face but i can't figure it out!
 


Hint: draw a horizontal line from the sphere position on the right (the dotted one), to the vertical solid line. Consider the right triangle that this creates.
 


jtbell said:
Hint: draw a horizontal line from the sphere position on the right (the dotted one), to the vertical solid line. Consider the right triangle that this creates.

OMG YES! I told you guys, it probably was staring right in my face. I was thinking more in the terms of forming and isosceles triangle in order to keep the lengths the same, but then again keeping them the same is the problem itself! Thanx a tonne!
 

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