Use the values RE = 6370 km = 3960 mi for the radius of the earthIn a future mission, a sp...

Use the values RE = 6370 km = 3960 mi for the radius of the earth

In a future mission, a spacecraft approaches the surface of an asteroid passing near the earth. Just before it touches down, the spacecraft is moving downward at a constant velocity relative to the surface of the asteroid and its downward thrust is 0.01 N. The computer decreases the downward thrust to 0.005 N, and an onboard laser interferometer determines that the acceleration of the spacecraft relative to the surface becomes 5 × 10–6 m/s2 downward. What is the gravitational acceleration of the asteroid near its surface?