Can I calculate modulus of elasticity without knowing cross-sectional area?Watch
A horizontal force of magnitude 4 N is applied to the other end and compresses the spring to a length of 1 m.
Find the modulus of elasticity of the spring.'
How do I calculate the modulus of elasticity without the cross-sectional area of the spring? I'm aware λ = stress/strain, but to find stress I believe i need cross-sectional area.
Any ideas how I can solve the problem?
Thanks in advance.
T = kx where k=modulus of elasticity/natural length, T=force and x=extension
The question is badly written. Modulus of elasticity or Young's modulus is a property of the material, and the question doesn't sufficient information to calculate it. It looks like they meant to say spring constant as previous posters have suggested.
Modulus of elasticity is a property of a material
Spring constant is a property of a spring (made of that material)
an analogy if you've done resistivity
resistance is a property of a resistor
resistivity is a property of a material
you can calculate the resistance of a piece of wire from PD and current... but you can't say anything about the resistivity until you know something about the length and cross sectional area of the wire the resistor is made of.