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3 years ago

A generation is about one-third of a lifetime. Approximately how many generations have passed during the last 2,000 years?

1 answer:

5 0

Assume that the average life expectancy is about 72 years, according to recently published data.
Therefore a generation is
72/3 = 24 years.

Therefore over the last 2,000years, the number of generations that have passed is
2000/24 = 83.3

Answer: 83 generations

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The moment of inertia will be increased by a factor of 1575

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$I_1 = \frac{1}{2}mr^2\\ \\I_2 = \frac{1}{2}(7m)(15r)^2\\\\I_2 = \frac{1}{2}(7m)(225r^2)\\\\I_2 = 7\times 225[\frac{1}{2}(mr^2)]\\\\I_2 = 1575[\frac{1}{2}(mr^2)]\\\\Recall, \frac{1}{2}(mr^2) = I_1 \\\\I_2 = 1575 I_1$

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4 years ago

Find the kinetic energy K of a satellite with mass m in a circular orbit with radius R. Express your answer in terms of m, M, G,

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$K=\frac{GmM}{2R}$

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The kinetic energy is defined as:

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$v_{orb}=\sqrt\frac{GM}{R}(2)$

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$K=\frac{mv_{orb}^2}{2}\\K=\frac{m(\sqrt\frac{GM}{R})^2}{2}\\K=\frac{GmM}{2R}$

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