Answer:
Gravitational force = 6.673×10⁻¹⁰ N
Explanation:
If two objects A and B of masses 'M' and 'm' lie at a distance 'd' from each other, and the force of attraction between the two objects is 'F', according to the universal law of gravitation:
- The force between the two objects is directly proportional to the product of their masses,
F ∝ M×m
- And the force between two objects is inversely proportional to the square of the distance between them.
F ∝ 1/d²
- Which forms the equation:
F = GMm/d²,
where G = 6.673×10⁻¹¹ N m² kg⁻² is the universal gravitational constant.
Step 1:
Given:
Mass of one object, M = 4 kg
And the mass of the other object, m = 10 kg
They are separated by a distance, d = 2 m
The gravitational constant, G = 6.673×10⁻¹¹ N m² kg⁻²
Step 2:
Substituting the above values into the equation of law of gravitation:
[tex]F=\frac{GMm}{d^{2} }[/tex]
[tex]F=\frac{(6.673)10^{-11} (4)(10)}{2^{2} }[/tex]
⇒ F = 6.673×10⁻¹⁰ N
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