An asteroid and a comet collide head on. Prior to the collision, the asteroid has a momentum of 700,000 kg m/s up and the comet has a momentum of 800,000 kg m/s down. After the collision the asteroid has a momentum of 750,000 kg m/s down. After the collision, what is the comet's momentum?
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Answer:
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Given info : An asteroid and a comet collide head on. Prior to the collision, the asteroid has a momentum of 700,000 kg m/s up and the comet has a momentum of 800,000 kg m/s down. After the collision the asteroid has a momentum of 750,000 kg m/s down.
To find : after collision, the linear momentum of comet is ...
solution : initial momentum of asteroid , P₁ = 7 × 10⁵ kg m/s
initial momentum of comet, P₁' = 8 × 10⁵ kg m/s.
final momentum of asteroid, P₂ = 7.5 × 10⁵ kg m/s.
let final momentum of comet is P₂'
using formula,
P₁ + P₁' = P₂ + P₂'
⇒7 × 10⁵ + 8 × 10⁵ = 7.5 × 10⁵ + P₂'
⇒7.5 × 10⁵ kg m/s = P₂'
Therefore the momentum of comet after collision is 7.5 × 10⁵ kg m/s.
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