Final answer:
To calculate the gravitational force between two objects with masses 10kg and 50kg, 10cm apart, you can use the formula F = G * (M1 * M2) / R^2, where F is the gravitational force, G is the gravitational constant, M1 and M2 are the masses of the objects, and R is the separation distance between them. In this case, the gravitational force is approximately 3.34 × 10^-8 N.
Step-by-step explanation:
To calculate the gravitational force between two objects, we can use the formula:
F = G * (M1 * M2) / R^2
where F is the gravitational force, G is the gravitational constant (G = 6.67 × 10^-11 Nm²/kg²), M1 and M2 are the masses of the two objects, and R is the separation distance between them.
Using the given values of M1 = 10 kg, M2 = 50 kg, and R = 10 cm (which we need to convert to meters), we can substitute these values into the formula:
F = 6.67 × 10^-11 Nm²/kg² * (10 kg * 50 kg) / (0.10 m)^2
Simplifying the equation gives the gravitational force:
F = 3.34 × 10^-8 N