Final answer:
The magnitude of the gravitational force between a 4.6 kg object and a 1.7 kg object 2.1 meters apart can be found using the formula F = Gm1m2/r^2 with the gravitational constant G = 6.67 × 10^-11 N·m²/kg^2.
Step-by-step explanation:
The question is asking to find the magnitude of the gravitational force acting between two objects with masses of 4.6 kg and 1.7 kg that are 2.1 meters apart. To solve this, we can use Newton's law of gravitation, which is expressed by the formula: F = Gm1m2/r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two masses.
Using the given values and the gravitational constant G = 6.67 × 10^-11 N·m²/kg^2, we can calculate the force as follows:
F = (6.67 × 10^-11 N·m^2/kg^2) × (4.6 kg) × (1.7 kg) / (2.1 m)^2
This calculation will give you the magnitude of the gravitational force in newtons (N).