A warning system has calculated that two asteroids will collide not far from Earth any time soon.
The smaller asteroid has the mass m and moves with the velocity vm. The bigger asteroid has the
mass M = 3m and the velocity of vM =
1
2
vm. They collide at an angle of α = 60◦ and turn into a
single heavy asteroid (inelastic collision):
M
m
α
β
(a) Calculate the velocity of the single object aer the collision.
(b) Determine the angle β aer the collision.
1
Expert's answer
2019-05-15T10:15:39-0400
We direct the axis ox along the motion of the asteroid with a smaller mass m, and oy - perpendicular to it.
Then the law of conservation of momentum on the axis:
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