Find the gravitational force of attraction between two spheres each of mass of 1000 kg. The distance between the centers of the spheres is 0.5 m.
$(2.67 \times 10^{-4} N)$
Difficulty: Hard
Solution:
Mass = $m_{1} = m_{2}$= 1000 kg
Distance between the centers = d = 0.5 m
Gravitational constant = G = $6.673\times 10^{-11} Nm^{2}kg^{-2}$
Gravitational force = F = ?
F =$\frac{(G m_{1}m_{2})}{d_{2}}$
F = $6.673 \times (10) ^{-11}\times \frac{(1000 \times 1000)}{((0.5)}^{2})$
=$\frac{6.673 \times(10) ^{-11}\times (10)^{6}}{0.25}$
= $\frac{(6.673 \times (10) ^{-11}\times (10)^{6})}{0.25}$
=$\frac{(6.673 \times (10)^{-5})}{0.25}$
= $26.692\times (10) ^{-5}$ = $2.67 \times 10^{-4} N$
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