Two Asteroids Colliding Find the Initial Velocitiesby jessicak Tags: asteroids, colliding, initial, velocities 

#1
Oct2910, 02:34 AM

P: 26

1. The problem statement, all variables and given/known data
Two asteroids of 1.0x107kg and 6.0x107kg respectively, are initially at rest in interstellar space separated by a large distance. Thier mutual gravitational attraction then causes then to fall toward each other on a straight line. Assume the asteroids are spheres of radius 130m and 420m respectively. A) what is the velocity of each asteroid before they hit? 130m, v=? 420m asteroid, v= What is the kinetic energy of each? What is the total kinetic energy? B) The collision is totally inelastic. What is the velocity of the joined asteroids after they hit? 2. Relevant equations K=1/2mv2 vf = (m1v1 + m2v2)/(m1 + m2) 3. The attempt at a solution I have absolutely no idea about how to get the initial velocities, but I know where to go from there.] 



#2
Oct2910, 04:49 AM

P: 85

You can do it with conservation of energy and conservation of linear momentum. Assume the asteroids start at infinity distance from each other. Find the change in potential energy as they go from infinity distance to 0 diastance, this has to be equal to their kinetic energy just before the collission. Also, the total momentum at the start was 0, so the momentum before the collission is 0.



Register to reply 
Related Discussions  
Conservation of Momentum 2D  2 marbles collide  find final velocities  Introductory Physics Homework  11  
Finding Initial Velocity with no time or other Velocities  Introductory Physics Homework  15  
Projectile Motion given starting height, initial angle, and range, find initial speed  Introductory Physics Homework  9  
initial velocities for Nbody simmulations  Cosmology  0  
2 possible initial velocities  Introductory Physics Homework  1 