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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. a) Explain each step in their solution. (1.6) (6) (1.2)(-3) = (2.8)(v1) 1 V₁ = 2.14 m/s 1 2 (1.6) (6²) + ½ (1.2)(-3)² = (2.8) (2.14)+k( 2 k = 385714.29 Statement: 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?

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. a) Explain each step in their solution. (1.6) (6) (1.2)(-3) = (2.8)(v1) 1 V₁ = 2.14 m/s 1 2 (1.6) (6²) + ½ (1.2)(-3)² = (2.8) (2.14)+k( 2 k = 385714.29 Statement: 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?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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. a) Explain each step in their solution. (1.6) (6) (1.2)(-3) = (2.8)(v1) 1 V₁ = 2.14 m/s 1 2 (1.6) (6²) + ½ (1.2)(-3)² = (2.8) (2.14)+k( 2 k = 385714.29 Statement: 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?
Transcribed Image Text: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. a) Explain each step in their solution. (1.6) (6) (1.2)(-3) = (2.8)(v1) 1 V₁ = 2.14 m/s 1 2 (1.6) (6²) + ½ (1.2)(-3)² = (2.8) (2.14)+k( 2 k = 385714.29 Statement: 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?
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