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
Verified Correct Answer: D.
Physical Principles & Numerical Solution
\(g_1 = \frac{Gm_1m_2}{r^2_1}\)
\(m_1m_2 = \frac{gr^2_1}{G}\)
\(g_2 = \frac{Ggr^2_1}{Gr^2_2} = \frac{10 \times 0.1^2}{0.2^2}\)
= 2.5N
Source: Myschool Past Questions Archive (Record #33933)