Answer:
2. 0.27 N/kg
3a. 210 N
3b. 23.3 N
Explanation:
The acceleration due to gravity is:
g = GM / r²
where G is the gravitational constant, M is the mass of the planet, and r is the distance from the planet's center.
2. At the surface of the Earth (r = R), the acceleration due to gravity is 9.8 N/kg.
9.8 = GM / R²
At r = 6R, the acceleration due to gravity is:
g = GM / (6R)²
g = (GM / R²) / 36
g = 9.8 / 36
g = 0.27 N/kg
3a. Weight is mass times acceleration due to gravity:
W = mg
W = (20 kg) (10.5 N/kg)
W = 210 N
3b. Find the new value of g:
g = GM / (3R)²
g = (GM / R²) / 9
g = 10.5 / 9
g = 1.17 N/kg
Now find the weight:
W = mg
W = (20 kg) (1.17 N/kg)
W = 23.3 N
