Final answer:
The gravitational force between two cars of mass 3000 kg and a separation of 2 m is calculated using Newton's law of gravitation, resulting in a force of approximately 0.000150165 Newtons.
Step-by-step explanation:
The question asks for the gravitational force between two cars with a mass of 3000 kg each, separated by a distance of 2 meters. To find this, we use Newton's universal law of gravitation, which states that the force of gravity (F) between two objects is proportional to the product of their masses (M1 and M2) and inversely proportional to the square of the distance (R) between their centers. The formula is:
F = G × (M1 × M2) / R²
Where G is the gravitational constant, 6.674 × 10^-11 N·m²/kg². Plugging in the values we get:
F = (6.674 × 10^-11 N·m²/kg²) × (3000 kg × 3000 kg) / (2 m)^2
F = (6.674 × 10^-11) × (9 × 10^6) / 4
F = (6.674 × 10^-11) × (2.25 × 10^6)
F = 1.50165 × 10^-4 N
The gravitational force between the two cars is extremely small, only about 0.000150165 Newtons.