Question

A uniform, solid, 1600.0 kg sphere has a radius of 5.00 m. Find the gravitational force this sphere exerts on a 1.90 kg point mass placed at a distance of 2.45 m from the center of the sphere. Express your answer in newtons.

Answer 1

To find the gravitational force exerted by the sphere on the point mass, we can use Newton's law of universal gravitation.

Step-by-step explanation:

To find the gravitational force exerted by the sphere on the point mass, we can use Newton's law of universal gravitation. The formula for gravitational force is F = (G * m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the masses.

In this case, the mass of the point mass is 1.90 kg, the mass of the sphere is 1600.0 kg, and the distance between their centers is 2.45 m. Plugging these values into the formula, we get:

F = (6.674 × 10^-11 N·m²/kg² * 1.90 kg * 1600.0 kg) / (2.45 m)^2

Calculating this will give us the gravitational force exerted by the sphere on the point mass in newtons.