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10 votes
10 votes
Two 20kg spheres are placed with their

Centres 50cm apart. What is the magnitude of
gravitational force each exerts on the other?​

User Hhrzc
by
3.3k points

1 Answer

16 votes
16 votes

Answer:

F = 1.07 x 10⁻⁷ N

Step-by-step explanation:

The gravitational force of attraction between two objects can be found by the use of Newton's Gravitational Law:


F = (Gm_(1)m_(2))/(r^2)\\\\

where,

F = Gravitational Force of attraction = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

m₁ = m₂ = mass of spheres = 20 kg

r = distance between the objects = 50 cm = 0.5 m

Therefore,


F = ((6.67\ x\ 10^(-11)\ N.m^2/kg^2)(20\ kg)(20\ kg))/((0.5\ m)^2)\\\\

F = 1.07 x 10⁻⁷ N

User Jan Henke
by
3.6k points