Greatest elongation and escape velocity HELP

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SUMMARY

The discussion centers on two physics problems: the elongation of wires and escape velocity. For the wires, all three have the same material, thus the same Young's modulus, meaning elongation is determined by length and diameter. The escape velocity from Earth remains constant regardless of the projection angle, assuming no air resistance. The participants emphasize the need for relevant equations to solve these problems effectively.

PREREQUISITES
  • Understanding of Young's modulus and its application in elasticity
  • Knowledge of the relationship between elongation, length, and diameter of wires
  • Familiarity with the concept of escape velocity in physics
  • Basic algebra for solving equations related to physical properties
NEXT STEPS
  • Study the formula for elongation in relation to Young's modulus and wire dimensions
  • Learn about the factors affecting escape velocity in different contexts
  • Explore the implications of material properties on elasticity and elongation
  • Review projectile motion principles and their effects on escape velocity
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and material science, as well as educators seeking to clarify concepts of elasticity and escape velocity.

itheo92
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Homework Statement



Three wires are made of same materials. Which wire will have the greatest elongation?
wire1: length: 50cm, diameter: 0.5mm
wire2: length: 100cm, diameter: 1mm
wire3: length: 300cm, diameter: 3mm

Homework Equations


The Attempt at a Solution



I know, the wire having greatest elongation will have the greatest Young's modulus.
So, i have to calculate the young modulus from the given data of the three wires. but I can't get a equation to put.
actually I'm weak at the elasticity related issues, but I guess It's not too hard...

Homework Statement



The escape velocity from Earth is v. if the body is projected from the Earth in a direction of 45 degree to the vertical then it's escape velocity is??

Homework Equations


The Attempt at a Solution



I think, the escape velocity will not change...it's same for all direction...am I wrong?
 
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I would like to welcome you to these forums and would ask that you post separate unrelated questions in separate posts, and to please show an attempt at your work when posting, listing relevant equations.
itheo92 said:

Homework Statement



Three wires are made of same materials. Which wire will have the greatest elongation?
wire1: length: 50cm, diameter: 0.5mm
wire2: length: 100cm, diameter: 1mm
wire3: length: 300cm, diameter: 3mm

Homework Equations





The Attempt at a Solution



I know, the wire having greatest elongation will have the greatest Young's modulus.
this is not true
So, i have to calculate the young modulus from the given data of the three wires. but I can't get a equation to put.
It is given that all wires have the same material, therefore, they all have the same Young modulus, which is a property of the material structure.
actually I'm weak at the elasticity related issues, but I guess It's not too hard...
You'll need to list the relevant equation that relates elongation to Young's modulus and the given variables.

Homework Statement



The escape velocity from Earth is v. if the body is projected from the Earth in a direction of 45 degree to the vertical then it's escape velocity is??


Homework Equations





The Attempt at a Solution



I think, the escape velocity will not change...it's same for all direction...am I wrong?
You may very well be right, with the usual assumptions of no air resistance, etc., but why do you say that?
 

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