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24.11.2022 02:29
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Asolid sphere of brass (bulk modulus of 14.0 3 1010 n/m2) with a diameter of 3.00

Asolid sphere of brass (bulk modulus of 14.0 3 1010 n/m2) with a diameter of 3.00 m is thrown into the ocean. by how much does the diameter of the sphere decrease as it sinks to a depth of 1.00 km?
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arianaaldaz062002
arianaaldaz062002
5,0(49 marks)

As per the formula of bulk modulus we know that

B = \frac{\Delta P}{\Delta V/V}

as we know that

V = \frac{4}{3}\pi R^3

\Delta V = 4 \pi R^2 \Delta R

now we will have

\Delta V/ V = \frac{3\Delta R}{R}

now we will have from above equation

\Delta V/ V = \frac{\Delta P}{B}

\frac{3\Delta R}{R} = \frac{\rho g h}{B}

\frac{3 \Delta R }{3} = \frac{10^3 \times 9.8 \times 1000}{14 \times 10^{10}}

\Delta R = 7 \times 10^{-5} m

tristantisdale1
tristantisdale1
4,5(32 marks)
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