Two spherical asteroids have the same radius r. asteroid 1 hasmass m and asteroid 2 has mas 2m. the two asteroids are releasedfrom rest with distance 10r between their centers. what is thespeed of each asteroid just before they collide?

Explanation:

given,

mass of asteroid 1 = M

mass of asteroid 2 = 2M

radius of two asteroid = R

Distance between the asteroid = 10 R

Speed of the asteroid before collision = ?

using conservation of momentum

M u + 2M u' = M v₁ + 2 M v₂

initial speed of asteroid is equal to zero

0 = v₁ + 2 v₂

v₁ = -2 v₂

using conservation of momentum

initial potential energy is converted into potential energy and the kinetic energy of both the asteroids.

now,

hence, the velocity of asteroid are

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