Two springs, each with a spring constant $20{\mathrm{Nm}}^{-1}$, are connected in series. Draw a diagram of the two springs in series and determine the total extension if a mass, with weight $2.0 \mathrm{N}$, is hung on the combined springs.

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 $0.8\mathrm{mm}$.

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

(c) Calculate the work done in stretching the wire between $0.4\mathrm{mm}$ and $0.8 \mathrm{mm}$.