One of the asteroids, Ida, looks like an elongated potato. Surprisingly it has a tiny (compared to Ida) spherical moon! This moon called Dactyl has a mass of 4.20 × 10^16 kg, and a radius of 1.57 × 10^4 meters, according to Wikipedia. Ida has a radius of 3.14 x 10^4 meters. Find the acceleration of gravity on the surface of this little moon.

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One of the asteroids, Ida, looks like an elongated potato. Surprisingly it has a tiny (compared to Ida) spherical moon! This moon called Dactyl has a mass of 4.20 × 10^16 kg, and a radius of 1.57 × 10^4 meters, according to Wikipedia. Ida has a radius of 3.14 x 10^4 meters.

(a) Find the acceleration of gravity on the surface of this little moon.

(b) Your friend just said that on a planet that size a sneeze would give you escape speed. We are curious now. Find the escape speed on Dactyl.

(c) You are supposed to orbit a space probe around the moon Dactyl to measure its optical properties. If you are 10,000 meters above the surface (exact value), what must your orbital speed be?

(d) What is the angular momentum of Dactyl as it orbits Ida if its orbital period is 20.0 hours and it is 700.0km away from Ida?

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