Final answer:
The force of gravity between two rocks weighing 100 kg and 300 kg separated by 2 km distance is calculated using Newton's law of universal gravitation and is approximately 5.003 × 10-9 Newtons.
Step-by-step explanation:
To calculate the force of gravity between the two rocks weighing 100 kg and 300 kg and separated by a distance of 2 km, we'll use Newton's law of universal gravitation. This law states that the force of gravity (F) between two masses (m1 and m2) separated by a distance (r) is given by the formula:
F = G × (m1 × m2) / r²
where:
- G is the gravitational constant, 6.674 × 10-11 N·m²/kg²,
- m1 and m2 are the masses of the objects,
- r is the distance between the centers of the two masses.
First, we must convert the distance from kilometers to meters:
2 km = 2000 m
Now we can plug the values into the formula:
F = (6.674 × 10-11 N·m²/kg²) × (100 kg × 300 kg) / (2000 m)²
After calculating, we find:
F = (6.674 × 10-11 × 100 × 300) / (2000 × 2000)
F = 5.003× 10-9 N
Therefore, the gravitational force between the two rocks is approximately 5.003 × 10-9 Newtons.