$($a$)$ What is the escape speed on a spherical asteroid whose radius is $109$ km and whose gravitational acceleration at the surface is $0\mathrm{.}137\frac{m}{s^2}?($b$)$ How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of $125\frac{m}{s}?($c$)$ With what speed will an object hit the asteroid if it is dropped from $1838$ km above the surface?

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