The radius of Earth is 6 x 10^6m. What is the acceleration of a meteor, when it is 8 x 10^6m from the center of the Earth?
Correct answer: D. None of above
- A. 8 m/s2
- B. 4 m/s2
- C. 9.8 m/s2
- D. None of above
Explanation
The following is the solution: Law of Universal Gravitation states that the force of attraction FG between two bodies of masses M1 and M2 is directly proportional to the product of masses of the two bodies. it is also inversely proportional to the square of the distance r between the two. Mathematically stated: FG=GM1M2/r2 where G is the proportionality constant and =6.67408×10−11m3kg−1s−2 Let m be mass of meteor and Me mass of earth. Using Newton's second law of motion we can rewrite the equation as: FG=ma a=FG/m= GMe/r2 Inserting various values we get: a=6.3 ms-2
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