A sphere of mass 40 kg is attracted by a second sphere of mass 40 kg with a force equal to 4 x 10-5N. Calculate the distance between the two spheres.
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We know that gravitational force between two bodies is given by -
F = G m1m2/r²
where m1,m2 are masses of the bodies
G is Universal gravitation constant.
r is the distance between two objects from their centers.
So here
F = 2.5 × 10^-6
r = 30mm or 30 × 10^-3 m
m1 = 40kg
m2 = 80kg
we have to find the value of G
so plug the values in the formula
we get
2.5×10^-6 = G × 80×40/3×10-²
so we get G = 0.0023.. × 10^-8
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Answer:
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10–5 N. If G = 6 x 10–11 Nm2/kg 2, calculate the distance between the two spheres. Gravitaional constant, G = 6 x 10–11 Nm2/kg2. Therefore, the distance between the two spheres is 6 cm.
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