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Newton's Law of Gravitation States That Two Bodies with Masses m1 and m2m_{1} \text { and } m_{2}

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Newton's Law of Gravitation states that two bodies with masses m1 and m2m_{1} \text { and } m_{2} attract each other with a force F=Gm1m2r2F=G \frac{m_{1} m_{2}}{r^{2}} where r is the distance between the bodies and G is the gravitation constant. If one of bodies is fixed, find the work needed to move the other from r=mr=m to r=hr=h .

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Definitions:

Geometric Average Return

A method to calculate the average rate of return per period on an investment, compounded over multiple periods.

Treynor Measure

A performance metric for determining how well the returns of an investment compensate the investor for taking a risk, adjusting for market volatility.

S&P 500 Index

A market-capitalization-weighted index of the 500 largest U.S. publicly traded companies and is considered one of the best representations of the U.S. stock market.

Sharpe Measure

A metric for calculating risk-adjusted return, measuring excess return per unit of deviation in an investment.

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