First slide

Universal law of gravitation

Question

Mass M=1 unit is divided into two parts X and (1–X). For a given separation the value of X for which the gravitational force between them becomes maximum is

Moderate

A

1/2
B

3/5
C

1
D

2

Solution

$F = \frac{G \times m (1 - x) mx}{R^{2}}$ is maximum when $x = \frac{1}{2}$

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