A 1.6 kg cart moving at 6.0 m/s [E] collides with a 1.2 kg cart moving at 3.0 m/s [W]. The head-on collision is completely elastic and is cushioned by a spring. A student was asked to find the spring constant given that the maximum compression of the spring during the collision is 1.2 cm.

 

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a. Explain each step in their solution. (5 marks) (1.6)(6) + (1.2)(3) = (2.8)(v1 ) 1 2 V = = 2.14 m/s 1 (1.6) (6) + (1.2)(-3) = (2.8) (2.14) + 2 k = 385714.29 -k( The spring constant is 390 000 N/m b. What would the spring constant be if the maximum compression was 2.4 cm instead? Why? (2 marks) | a. Explain each step in their solution. (5 marks) (1.6)(6) + (1.2)(3) = (2.8)(v1 ) 1 2 V = = 2.14 m/s 1 (1.6) (6) + (1.2)(-3) = (2.8) (2.14) + 2 k = 385714.29 -k( The spring constant is 390 000 N/m b. What would the spring constant be if the maximum compression was 2.4 cm instead? Why? (2 marks) |