Consider a spherical asteroid with a radius of 5 km and a mass of 8.65x10^15 kg.(adsbygoogle = window.adsbygoogle || []).push({});

(a) What is the acceleration of gravity on the surface of this asteroid?

ANSWER: ___ m/s2

(b) Suppose the asteroid spins about an axis through its center, like the Earth, with an angular speed . What is the greatest value can have before loose rocks on the asteroid's equator begin to fly off the surface?

ANSWER: ___ rad/s

For (a) which I got right.... I used the equation g=(G*M)/R^2

g=(6.67e-11*8.65e15)/(5000^2)=.023078 m/s2

For (b) I used the equation Wf^2= Wi^2 + 2*a*d and i substituted the numbers in to get... Wf^2 = 0 + 2(.023037*2pi)(31415.9m*2pi) and I got it to be 95.45 rad/s and for some reason this is not right... am I even using the right equation or is there another equation i can use to get the answer such as maybe... F= (G*M*m)/R^2 ....

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Escape Velocity of a spherical asteroid

**Physics Forums | Science Articles, Homework Help, Discussion**