Question

What is the magnitude of the gravitational force between a 98000 kg sphere and a 72000 kg sphere located at a distance of 2.5 m? (Round your answer to the nearest thousandth of a newton)

Answer 1

The magnitude of the gravitational force between the spheres is approximately 3.6 * 10^12 N.

Step-by-step explanation:

The magnitude of the gravitational force between two objects can be calculated using Newton's law of gravitation:

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 distance between their centers.

In this case, the masses of the spheres are 98000 kg and 72000 kg, and the distance between them is 2.5 m. Plugging these values into the formula:

F = (6.674 × 10-11 N·m²/kg²) * (98000 kg) * (72000 kg) / (2.5 m)2

Calculating this gives the magnitude of the gravitational force to be approximately 3.6 * 1012 N.

Answer 2

The magnitude of the gravitational force between two objects can be calculated using Newton's law of gravitation.

Step-by-step explanation:

The magnitude of the gravitational force between two objects can be calculated using Newton's law of gravitation:

F = G * ((m1 * m2) / r^2)

Where F is the magnitude of the gravitational force, G is the gravitational constant (6.674 × 10^-11 N·m²/kg²), m1 and m2 are the masses of the two objects, and r is the distance between their centers.

Using this formula, the magnitude of the gravitational force between a 98000 kg sphere and a 72000 kg sphere located at a distance of 2.5 m can be calculated as follows:

F = 6.674 × 10^-11 * ((98000 * 72000) / (2.5^2)) = 7.61 N (rounded to the nearest thousandth of a newton).