The magnitude of the gravitational force between two particles 0.10m apart is 10N. If the...

PHYSICS
WAEC 2001

The magnitude of the gravitational force between two particles 0.10m apart is 10N. If the distance between them is increased to 0.20m, calculate the magnitude of the new force

  • A. 40.0N
  • B. 20.0N
  • C. 5.0N
  • D. 2.5N

Correct Answer: D. 2.5N

Explanation

\(g_1 = \frac{Gm_1m_2}{r^2_1}\)

\(m_1m_2 = \frac{gr^2_1}{G}\)

\(g_2 = \frac{Ggr^2_1}{Gr^2_2} = \frac{10 \times 0.1^2}{0.2^2}\)

= 2.5N



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