Answer :
Final answer:
The net gravitational force exerted on the 59.0-kg object is approximately 4.64 × 10⁻⁶ N.
Explanation:
The magnitude of the net gravitational force exerted by the two large objects on the 59.0-kg object can be calculated using Newton's law of universal gravitation. The formula to calculate the gravitational force is:
F = G * ((m₁ * m) / r₁²) + G * ((m₂ * m) / r₂²)
Given:
m₁ = 245 kg
m₂ = 545 kg
m = 59.0 kg
r₁ = r₂ = 3.30 m
Plugging in the values, we have:
F = (6.674 × 10-11 N * m² / kg²) * ((245 kg * 59.0 kg) / (3.30 m)²) + (6.674 × 10-11 N * m² / kg²) * ((545 kg * 59.0 kg) / (3.30 m)²)
Simplifying the equation and calculating the value, we get:
F ≈ 4.64 × 10-6 N
