Two asteroides crashed. The crash caused both asteroids to change speed.Scientist wants to use the change in speed and motion to figure out which asteroide has more mass.Based on the information in the diagram which statement is correct ? In your answer explain ,explain what the forces were like and why the asteroids changed in motion

(a) If the initial speed both asteroids before collision is the same, then the asteroid with greater mass will have more momentum before collision while the asteroid with lesser mass will have greater momentum after collision.

(b) The force of the impact depends of the velocity change and time of collision of the asteroids.

According to the principle of conservation of linear momentum, the sum of the momentum of each asteroid before collision must equal the sum of their momentum after collision.

[tex]m_1 u_1 + m_2 u_2 = m_1v_1 + m_2 v_2[/tex]

where;

m is the mass of the asteroids
u is the initial speed of the asteroids
v is the final speed of the asteroids

If the initial speed both asteroids before collision is the same, then the asteroid with greater mass will have more momentum before collision while the asteroid with lesser mass will have greater momentum after collision to conserve the momentum.

The force of the impact depends of the velocity change and time of collision of the asteroids.

[tex]F = \frac{m\Delta v}{t}[/tex]

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