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butalik [34]
3 years ago
7

To appreciate the strength of gravity, calculate the number of steel cables that would be required, in the absence of gravity, t

o hold the Moon in orbit about the Earth. Each cable has a cross-sectional area of 1 square meter, and the tensile strength of steel is 370 MPa.
Physics
1 answer:
Serga [27]3 years ago
4 0

Answer:

N=5.36*10^{17}

Explanation:

From the question we are told that:

Tensile strength of steel \sigma_c=370 MPa.=370*10^6

Cross-sectional area A= 1m^2

Generally the equation for Total Force is mathematically given by

 F = \frac{G M m}{r^2}

 F=\frac{6.67*10^{-11}*7.35*10^{22}*5.97*10^{24}}{(384*10^3)^2}

Since this is the force of each cable

 F=\sigma_c NA

 F= 370*10^6*N*1

Therefore

 370*10^6*N*1=\frac{6.67*10^{-11}*7.35*10^{22}*5.97*10^{24}}{(384*10^3)^2}

 N=5.36*10^{17}

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