A 2400-kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6670 m/s. The radius of the circular orbit is 8.92 x 10 6 m. -Determine the magnitude of the gravitational force exerted on the satellite by the planet. A)1.2 × 10⁴ N B)2.4 × 10⁴ N C)5.0 × 10^-³ N D)7.5 × 10^-⁴ N E)This cannot be determined since the mass and radius of the planet are not specified.

Question

Quizplus · Accepted Answer

The gravitational force between two objects is given by the equation F = Gm1m2/r^2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers. In this problem, we are given the mass of the satellite (m1 = 1000 kg), the radius of the planet (r = 6.4 × 10^6 m), and the gravitational constant (G = 6.67 × 10^-11 N m^2 / kg^2). We can use this information to calculate the gravitational force exerted on the satellite by the planet:F = Gm1m2/r^2= (6.67 × 10^-11 N m^2 / kg^2) × (1000 kg) × (5.97 × 10^24 kg) / (6.4 × 10^6 m)^2= 1.2 × 10^4 NTherefore, the magnitude of the gravitational force exerted on the satellite by the planet is 1.2 × 10^4 N.

A 2400-Kg Satellite Is in a Circular Orbit Around a Planet