Calculating Escape Velocity for a Small Asteroid with Given Initial Velocity

In summary, the conversation discusses the escape speed of a small asteroid and the final speed of a rock thrown away from it. The equation used to solve for the final speed involves kinetic and potential energy, as well as the initial and final velocities. However, the necessary values such as radius and mass are not given. The relationship between the asteroid's escape velocity and the final speed of the rock is not clear.
  • #1
Berkshire
3
0

Homework Statement


The escape speed from a very small asteroid is only 28 m/s. If you throw a rock away from the asteroid at a speed of 39 m/s, what will be its final speed?
Vesc= 28m/s
Vi= 39 m/s

Homework Equations


Ks,f + Ke,f + Uf = Ks,i + Ke,i + Ui +W
Vi=sqrt(2GM/r)

The Attempt at a Solution



Well I know the first equation gets simplfied to
0=.5mv^2 + (-GM/r)
Vi=sqrt(2GM/r)

But I don't have radius or mass of my asteroid and I don't have any equations that incorporate the final velocity...

But I can't figure out how to
 
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  • #2
How can you relate the asteroid's escape velocity to the values you're looking for?
 

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