Solve Physics Problems: Moon, Sun, Springs & Conical Mound

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Discussion Overview

This thread discusses several physics problems related to gravity on the moon and sun, spring mechanics, and work done in constructing a conical mound. The scope includes homework-related inquiries and mathematical reasoning.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant asks how to calculate the height a person could jump on the moon and sun given their initial velocity and the gravitational differences, expressing confusion about the relevant equations.
  • The same participant seeks clarification on finding the natural length of a spring based on the work done in stretching it, indicating uncertainty about their approach to the problem.
  • Another problem involves calculating the work done in constructing a conical mound, with the participant unsure about which integral to use for the calculation.
  • A suggestion is made to post the questions in the homework forum and to clarify the notation used in the equations presented.
  • A later reply notes that the thread is a duplicate of an existing one and indicates it will be locked.

Areas of Agreement / Disagreement

Participants generally agree that the original poster should clarify their questions and notation. However, there is no consensus on the solutions to the problems presented, and multiple viewpoints on how to approach the problems remain unresolved.

Contextual Notes

The discussion reflects limitations in the clarity of the original problems and the assumptions made in the approaches suggested by participants. There are also unresolved mathematical steps in the problems posed.

gigi9
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Someone please help me how to do these problems below. Thanks a lot for your help.
1) On the surface of the moon the acceleration due to gravity is approximately 1/6 the sun at the surface of the earth, and on the surface of the sun it is approximately 29 times as great as at the surface of the earth. If a person on Earth can jump with enough initial velocity to rise 5ft, how high wil the same initail velocity carry that person (a) on the moon? (b) on the sun?
***I had s= -16t^2+ int. v*t+ int. s
s=5, int.s=0...what should I find, how do I do this problem?

2) Find the natural length of a spring if the work done in stretching it from a length of 2ft to the length of 3ft is one-fourth the work done in stretching it from 3ft to 5ft.
**Force=k*x,k is a constants, what I did was the force of stretching from 2ft-3ft is F1=k*1ft, F2=4*F1...not sure if I started out right...please show me how to do it.

3) A great conical mound of height h is built by the slaves of an oriental monarch, to commemorate a victory over the barbarians. If the slaves simply heap up uniform material found at ground level, and if the total weight of the finished mound is M, show that the work they do is 1/2h*M
**I'm totally stuck w/ this problem..what integral should i use?
 
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I would suggest that you post this to the homework forum and show as much as you can about what you have already done and what you do understand about each problem.

For example you say "***I had s= -16t^2+ int. v*t+ int. s
s=5, int.s=0". What do each of those letters and numbers stand for? In particular, where did that "-16" come from?
 
Originally posted by gigi9
Someone please help me how to do these problems below. Thanks a lot for your help.
1) On the surface of the moon the acceleration due to gravity is approximately 1/6 the sun at the surface of the earth, and on the surface of the sun it is approximately 29 times as great as at the surface of the earth. If a person on Earth can jump with enough initial velocity to rise 5ft, how high wil the same initail velocity carry that person (a) on the moon? (b) on the sun?
***I had s= -16t^2+ int. v*t+ int. s
s=5, int.s=0...what should I find, how do I do this problem?

2) Find the natural length of a spring if the work done in stretching it from a length of 2ft to the length of 3ft is one-fourth the work done in stretching it from 3ft to 5ft.
**Force=k*x,k is a constants, what I did was the force of stretching from 2ft-3ft is F1=k*1ft, F2=4*F1...not sure if I started out right...please show me how to do it.

3) A great conical mound of height h is built by the slaves of an oriental monarch, to commemorate a victory over the barbarians. If the slaves simply heap up uniform material found at ground level, and if the total weight of the finished mound is M, show that the work they do is 1/2h*M
**I'm totally stuck w/ this problem..what integral should i use?

If you really want a good reply,

Make sure you state your problems clearer by using TEX notation, or some other "Reading friendly" notations.
 

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