How would the number 13,900 be written using scientific notation?

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Ответ:

pedroramirezr2

15.04.2022

Physics

(A) Strain = 0.0012

(b) Stress $=77.44\times 10^5N/m^2$

Explanation:

Mass of the rock m = 75 kg

So weight of the rock $F=mg=75\times 9.8=735N$

Length of the rope l = 18 m

Diameter of the rope d = 11 mm

Change in length of rope $\Delta l=2.1cm =0.021m$

So radius r = 5.5 mm = 0.0055 m

Cross sectional area $A=\pi r^2$

$A=3.14\times 0.0055^2=9.49\times 10^{-5}m^2$

(a) Strain is equal to ratio change in length to original length

So strain $=\frac{\Delta l}{l}=\frac{0.021}{18}=0.0012$

(b) Stress $=\frac{Weight}{area}$

$=\frac{735}{9.49\times 10^{-5}}=77.44\times 10^5N/m^2$

So young's modulus $=\frac{77.44\times 10^5}{0.0012}=6.45\times 10^9N/m^2$

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