Sketch a force-extension graph for a spring that has a spring constant of $20 {\mathrm{Nm}}^{-1}$ and that obeys Hooke's law for forces up to $5.0 \mathrm{N}$. Your graph should cover forces between $0$ and $6\mathrm{N}$ and show values on both axes.

A sample of fishing line is $1.0 \mathrm{m}$ long and is of circular cross-section of radius $0.25 \mathrm{mm}$. When a weight is hung on the line, the extension is $50 \mathrm{mm}$ and the stress is $2.0\times {10}^8 \mathrm{Pa}$. Calculate the cross-sectional area of the line.

A sample of fishing line is $1.0 \mathrm{m}$ long and is of circular cross-section of radius $0.25 \mathrm{mm}$. When a weight is hung on the line, the extension is $50 \mathrm{mm}$ and the stress is $2.0\times {10}^8 \mathrm{Pa}$. Calculate the young modulus.

A sample of fishing line is $1.0 \mathrm{m}$ long and is of circular cross-section of radius $0.25 \mathrm{mm}$. When a weight is hung on the line, the extension is $50 \mathrm{mm}$ and the stress is $2.0\times {10}^8 \mathrm{Pa}$. Calculate the weight added.

A sample of fishing line is $1.0 \mathrm{m}$ long and is of circular cross-section of radius $0.25 \mathrm{mm}$. When a weight is hung on the line, the extension is $50 \mathrm{mm}$ and the stress is $2.0\times {10}^8 \mathrm{Pa}$. Calculate the strain.

A sample of fishing line is $1.0 \mathrm{m}$ long and is of circular cross-section of radius $0.25 \mathrm{mm}$. When a weight is hung on the line, the extension is $50 \mathrm{mm}$ and the stress is $2.0\times {10}^8 \mathrm{Pa}$. Calculate:

(e) The percentage and absolute uncertainties in the Young modulus if the uncertainty in the extension is $\pm 1 \mathrm{mm}$.

This is the force-extension graph for a metal wire of length $2.0\mathrm{m}$ and crosssectional are $1.5\times {10}^{-7}{\mathrm{m}}^2$

(a) Calculate the Young modulus.

This is the force-extension graph for a metal wire of length $2.0\mathrm{m}$ and crosssectional are $1.5\times {10}^{-7}{\mathrm{m}}^2$

(b) Determine the energy stored in the wire when the extension is $0.8\mathrm{mm}$.