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Sophomore Physics... Gravity?
A satellite is in orbit 500,000m above the the earth. Its mass is 150 kilograms. what is the force of gravity is experiences.
a). 1.26 x 10^3
b).14.6 x 10^3
c). 0.157 x 10^3
d). 3.26 x 10^3
2 Answers
- billrussell42Lv 71 decade agoFavorite Answer
Gravitational attraction in newtons
F = G m₁m₂/r²
G = 6.67e-11 m³/kgs²
m₁ and m₂ are the masses of the two objects in kg
r is the distance in meters between their centers (center of mass)
earth radius 6,371 km = 6.37e6 meters
earth mass 5.97e24 kg
Change the 500000 to distance from center of earth by adding earth radius above.
Then plug in the numbers into the formula above and solve for F in newtons.
None of your answers are correct, as they have no units.
.
- 1 decade ago
A
h = 500,000 m
which corresponds to
r = 1.0783 x Earth Radius
which means
acceleration of gravity at h = 8.429 m/s^2
F = mg = 150(8.429) = 1264.35 or
1.26 x 10^3
