Final answer:
The gravitational force of attraction between two 2.0 kg spheres separated by 2.0 m is calculated using Newton's law of universal gravitation, and it turns out to be 6.67 x 10^-11 N, which corresponds to option 'a'.
Step-by-step explanation:
The question is asking to calculate the gravitational force of attraction that exists between two spheres of mass 2.0 kg each, separated by 2.0 m from center to center using Newton's law of universal gravitation. The formula for the gravitational force (F) is given by:
F = G * (m1 * m2) / r^2
Where:
- G is the universal gravitational constant (6.67 x 10^-11 Nm²/kg²)
- m1 and m2 are the masses of the objects (2.0 kg each)
- r is the distance between the centers of the two masses (2.0 m)
Substituting the values into the formula:
F = (6.67 x 10^-11 Nm²/kg²) * (2.0 kg * 2.0 kg) / (2.0 m)^2 = (6.67 x 10^-11 Nm²/kg²) * (4.0 kg²) / 4.0 m² = 6.67 x 10^-11 N
Therefore, the gravitational force of attraction between the two spheres is 6.67 x 10^-11 N, which is option 'a'.