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In the context of 'getting results through others,' HRM helps managers:
HRM techniques help managers direct employee performance in desirable directions to achieve organizational objectives. Managers get things done through the efforts of others, which requires effective human resource management - not avoiding work, but enabling and directing others' work.
Using the superposition principle: Potential at cavity centre = (Potential due to full sphere at that point) $-$ (Potential due to removed small sphere at its own centre).
The cavity centre is at distance $R/2$ from the big sphere centre.
Potential due to full sphere at $r = R/2$ (inside):
$V_{full} = -\frac{GM}{2R^3}\left(3R^2 - \frac{R^2}{4}\right) = -\frac{11GM}{8R}$
Potential due to removed sphere (mass $M/8$, radius $R/2$) at its own centre:
$V_{small} = -\frac{3G(M/8)}{2(R/2)} = -\frac{3GM}{8R}$
$V_{cavity} = V_{full} - V_{small} = -\frac{11GM}{8R} + \frac{3GM}{8R} = -\frac{GM}{R}$
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