Final answer:
The gravitational force of attraction between two spheres each with a mass of 1000 kg and separated by a distance of 0.5 m is calculated using Newton's Law of Universal Gravitation, resulting in a force of approximately 2.67×10-5 newtons.
Step-by-step explanation:
To find the gravitational force of attraction between two spheres each with a mass of 1000 kg and separated by a distance of 0.5 m, we utilize Newton's Law of Universal Gravitation. The formula for computing the gravitational force (F) is:
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 (1000 kg and 1000 kg, respectively), and
- r is the distance between the centers of the two masses (0.5 m).
Substituting these values in, we get:
F = (6.674×10-11 N·m2/kg2) × (1000 kg × 1000 kg) / (0.5 m)2
F = (6.674×10-11 × 1×106) / 0.25
F = 2.6696×10-5 N
So, the magnitude of the gravitational force between the two spheres is approximately 2.67×10-5 newtons.