The gravitational force between two objects is 10N, what is the new value of the force if the distance between them is halved?
A
10N
B
20N
C
40N
D
80N
Verified Correct Answer: C.
Physical Principles & Numerical Solution
Gravitational force Fg = \(\frac{Gm_1m_2}{r^2}\)
Fg = 10N
distance = \(\frac{r}{2}\)
F'g = \(\frac{Gm_1m_2}{(\frac{r}{2})^2}\) = 4 (\(\frac{Gm_1m_2}{r^2}\)) = 4Fg = 4 x 10 = 40N
Source: WAEC / JAMB / NECO Classroom Archive (Record #70482)