A sphere of mass of 40 kg is attracted by second sphere of mass 60 kg with F=4×10^-5N. If G=6×10^-11Nm^2Kg^-2. Calculate the distance 2 spheres.
A)3cm
B)6cm
C)9cm
D)10cm
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A sphere of mass 40kg is attracted by a second sphere of mass 60kg with a force equal to 4mgf.If G = 6*10^-11 Nm^2kg^-2.calculate the distance between them. Acceleration due to gravity=10ms^-2
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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
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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