tidal friction is slowing the rotation of the earth. as a result, the orbit of t
ID: 1643402 • Letter: T
Question
tidal friction is slowing the rotation of the earth. as a result, the orbit of the moon is increasing in radius at rate of approximately 4 cm/year. assuming this to be a constant rate, how many years will pass before the radius of the moon's orbit incease by 3.84*10^6 m(1%)?
1-Draw a diagram of the problem. Label objects/items/quantities if there are more than one
2-Write out the quantities given and any constants needed to solve the problem. (gravitational acceleration, density of a material, charge of an electron, etc.)
3-Write out any formulae needed to solve, if any. (Kinematic equations, Newton’s Second Law, Coulomb’s Law, etc
4-Solve the problem. Show your work! Draw a box or circle around your answer for each section of the problem. Make sure to include units in your calculations!
Explanation / Answer
1. Please find the diagram
As we have assumed the orbit of moon to be circular, initial circle represents initial orbit of moon. and final circle represents final orbit of moon.
2. Given:
The radius is increased @ 4cm / year or 0.04 m/year
No of years it will take to increase the radius by 3.84 x 106 m
3. No of years taken =Total increase in radius/ increase in radius per year
= 3.84 x 106 /0.04 = 96 x 106 years
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