Answer:
W= 61.3 N
Explanation:
The only force acting on the satellite is the one due to the attraction from Earth, which obeys the Newton's Universal Law of Gravitation, as follows:
Fg =G*ms*me / (res)²
This force, also obeys the Newton's 2nd Law, so we can write the following equation:
G*ms*me*/ (res)² = ms* a = ms*g
We call to the product of the mass times the acceleration caused by gravity (g), the weight of this mass, so we can write as follows:
G*ms*me / (res)² = ms*g = W (1)
where G = 6.67*10⁻11 N*m²/kg², ms= 100 kg, me= 5.97*10²⁴ kg, and
res= 4 *re = 4*6.37*10⁶ m.
Replacing all these known values in (1), we get the value of W:
W =(( 6.67*5.97/(4*6.37)²) *( 10⁻¹¹ * 10²⁴ /10¹²) )* 100 N = 61.3 N
