Answer:
The force between the planet and the satellite is 4.76 * 10³ Newtons
Explanation:
Given:
Mass of satellite = m = 500 kg
Distance of the satellite from Earth's surface = h = 35000 m
We know that:
Mass of Earth = M = 5.9 * 10²⁴ kg
Radius of Earth = R = 6.4 * 10⁶ m
Gravitational Constant = G = 6.673 x 10⁻¹¹ N m²/kg²
Force between Earth and an object is given as:
F = GmM/(R+h)²
= (6.673 x 10⁻¹¹ x 500 x 5.9 x 10²⁴)/((6.4 * 10⁶)+(3.5*10⁴))²
= (1.97*10¹⁷)/(6.435*10⁶)²
= (1.97*10¹⁷)/(4.14*10¹³)
= 4.76 * 10³ N
Answer: F = 4.76 * 10³ N
Explanation:
We know that the force of gravity between two objects is:
F = G*m*M/r²
Where M is the mass of earth, m is the mass of the satelite, r is the distance between the radius of the earth and the satelite and G is the gravitational constant, and the data that we have is:
Mass of satellite: m = 500 kg
Distance of the satellite from Earth's surface: H = 0.035x10^6 m
Radius of Earth: R = 6.4 x 10⁶ m
So we have that r = R + H = 6.435x10^6
Mass of Earth: M = 5.9 * 10²⁴ kg
Gravitational Constant: G = 6.673 x 10⁻¹¹ N m²/kg²
Then the force that the Earth does in the satellite is:
F = (1.97*10¹⁷)/(6.435*10⁶)²
F = (1.97*10¹⁷)/(4.14*10¹³)
F = 4.76 * 10³ N
