Question

A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is r = 1.4 × 10⁷ m. The mass of the planet is m = 7.6 × 10²⁴ kg. What is the gravitational force between the satellite and the planet?

Answer 1

The gravitational force between a satellite and a planet can be calculated using the formula for gravitational force, which considers the masses of the objects and the distance between their centers.

Step-by-step explanation:

The gravitational force between a satellite and a planet can be calculated using the formula for gravitational force:

F = G(m1m2) / r^2

where F is the gravitational force, G is the gravitational constant (~6.674 × 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the satellite and the planet, and r is the distance between their centers.

In this case, the mass of the planet is given as m2 = 7.6 × 10²⁴ kg and the radius of the orbit is given as r = 1.4 × 10⁷ m. Plugging these values into the formula, we get:

F = (6.674 × 10^-11)(m1)(7.6 × 10²⁴) / (1.4 × 10⁷)^2