Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a 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 increases by 3.84×106 m (1%)?

Step 1 </p>

Tidal friction is the strain produced by the celestial body such as the earth or moon that undergoes cyclic variations in gravitational attraction as it orbits or orbited by a second body.

Step 2</p>

In this case the orbit of the moon is increasing its radius at a rate

The rate of increase of radius is constant .We need to find out how many years will pass before the radius of moon increase by 1% that is .

The distance covered by the moon , D = .

D=

Speed of moon,