Answer :
Two objects attract each other with a gravitation force of 3.80 x 10-8N when separated by a distance of 0.350 m. if the difference in masses is 7.50 kg, the mass of these objects is 2.1kg and 5.4kg
Given the mass of first object = m1
the mass of second object = m2
Gravitational force (Fg) = 3.80 x 10-8N
Objects separated by a distance (d) = 0.350m
Difference in mass of objects (m1-m2) = 7.50kg
Let mass of first object (m1) = 7.50+m2
The formula for gravitational force of attraction between two bodies is:
F = Gm₁m₂/d²
here G is the gravitational force constant and is equal to 6.67 * 10⁻¹¹ Nm²Kg⁻²
3.80 x 10-8N = 6.67 * 10⁻¹¹ Nm²Kg⁻² x (7.50+m2) x m2/( 0.350m)^2
46.55 x 10-10 / 6.67 * 10⁻¹¹ = m2^2+7.50m2
m2^2+7.50m2-69.7 = 0
m2 = 5.4 then m1 = 7.5-5.4 = 2.1
Hence the mass of first object is 2.1kg
The mass of second object = 5.4kg
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