Asked by Scotty
Calculate the force of gravity on a spacecraft 19200 km (3 earth radii) above the Earth's surface if its mass is 1600 kg.
Hint: At three earth radii from the surface of the Earth, the gravity force (weight) of the spacecraft will be reduced to
(1/4)^2 = 1/16 of the weight when the spacecraft is at the Earth's surface, since it is 4 times farther from the Earth's center.
(1/16) x M g = ?
g is the value at the Earth's surface, 9.8 m/s^2. M = 1600 kg.
Hint: At three earth radii from the surface of the Earth, the gravity force (weight) of the spacecraft will be reduced to
(1/4)^2 = 1/16 of the weight when the spacecraft is at the Earth's surface, since it is 4 times farther from the Earth's center.
(1/16) x M g = ?
g is the value at the Earth's surface, 9.8 m/s^2. M = 1600 kg.
Answers
Answered by
Anonymous
9040
Answered by
Ryan
Simply use Newton's law of Universal Gravitation, FG = G*(m1m2)/r^2 where G = 6.67e-11 N*m^2/kg^2
Using this we get (6.67e-11)*((1600kg)(5.98e24kg))/(19200km*1000)^2
which should give you: 1730N of force. The most common mistake to make for this problem is forgetting to convert the distance from km to m.
Using this we get (6.67e-11)*((1600kg)(5.98e24kg))/(19200km*1000)^2
which should give you: 1730N of force. The most common mistake to make for this problem is forgetting to convert the distance from km to m.
Answered by
Tshidi
Correct
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.