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In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m). a) Determine the velocity of each cart after the collision. b) Determine the maximum compression of the spring.

In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m). a) Determine the velocity of each cart after the collision. b) Determine the maximum compression of the spring.

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In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m).

a) Determine the velocity of each cart after the collision.

b) Determine the maximum compression of the spring.

 

I asked this question before and only one velocity was given, however I need a velocity for each cart. I also noticed that the person answering before didn't adjust the cart to the Earth's frame of reference. I attached my answer for part a) but if someone could explain how to do this and if mine is right. Thank you. 

4. i) m, = 0.80kg m2 = 0.60kg V11 = 2.0m/s [E] V2i = 5.0m/s [W] Vis = ? Vas = ? Vii= 2.0m/s [E] Vzi= 5.0m/s [W] Vii= 7.0m/s [E] Vzi = Om/s Let East be the positive direction V(m,- m,) Vif = (m,+ m,) 7.0m/s (0.80kg - 0.60kg) (0.60kg + 0.80kg) 1.4kg-mis 1.4kg = 1m/s [E] = 1m/s + (- 5.0m/s) - 4m/s [E] 4m/s [W] (2m, v V2f- (m,+m,) (2)(0.80kgN7.0m/s) (0.60kg + 0.80kg) 11.2kg-m/s 1.4kg 8m/s [E] 8m/s + (- 4.0m/s) 4m/s [E]
Transcribed Image Text:4. i) m, = 0.80kg m2 = 0.60kg V11 = 2.0m/s [E] V2i = 5.0m/s [W] Vis = ? Vas = ? Vii= 2.0m/s [E] Vzi= 5.0m/s [W] Vii= 7.0m/s [E] Vzi = Om/s Let East be the positive direction V(m,- m,) Vif = (m,+ m,) 7.0m/s (0.80kg - 0.60kg) (0.60kg + 0.80kg) 1.4kg-mis 1.4kg = 1m/s [E] = 1m/s + (- 5.0m/s) - 4m/s [E] 4m/s [W] (2m, v V2f- (m,+m,) (2)(0.80kgN7.0m/s) (0.60kg + 0.80kg) 11.2kg-m/s 1.4kg 8m/s [E] 8m/s + (- 4.0m/s) 4m/s [E]
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