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9.[lpt] A solid block of mass m2 1.7 kg, at rest on a horizontal frictionless su

ID: 1782954 • Letter: 9

Question

9.[lpt] A solid block of mass m2 1.7 kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k - 150 N/m whose other end is fixed. Another sold block of mass m 2.0 kg and speed v1 1.2 m/s collides with the 1.7 kg block. If the blocks stick together, what is their speed immediately after the collision? ITn ml Answer: Not yet correct, tries 1/6 Submit All Answers Last Answer: .7034 m/s 10.[Ipt] What is the maximum compression of the spring? Answer: Not yet correct, tries 1/6 Submit All Answers Last Answer: .0978 m

Explanation / Answer

9)

V = velocity of the combination just after collision

using conservation of momentum

m1 v1 = (m1 + m2) V

2 (1.2) = (2 + 1.7) V

V = 0.65 m/s

10.

using conservation of energy

spring energy = kinetic energy of the combination just after collision

(0.5) k x2 = (0.5) (m1 + m2) V2

(150) x2 = (2 + 1.7) (0.65)2

x = 0.102 m