..ooo T-Mobile @ 62%. , 6:46 PM spock.physast.uga.edu (5) Mass and Mass- Spring
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..ooo T-Mobile @ 62%. , 6:46 PM spock.physast.uga.edu (5) Mass and Mass- Spring Collisiorn A solid block of mass m2 2.21 Kg, at rest on a horizontal frictionless surface, is connected to a relaxed spring (with spring constant k = 38.3 N/m whose other end is fixed. Another solid block of mass m 2.45 kg and speed v1 = 1.20 m /s collides with the 2.21 Kg block. If the blocks stick together, what is their speed immediately after the collision? Submit AnswerTries 0/8 What is the change in kinetic energy in the collision? Submit AnswerTries 0/8 What is the maximum compression of the spring? Submit AnswerTries 0/8 My general erences hreaded View Chronological on what is mark NEWExplanation / Answer
Use conservation of momentum before and after the collision.
mu + 0 = (m+M)V
=> 2.45(1.2) + 0 = (2.45 + 2.21)V
=> V = 0.631 m/s
this is the velocity of the system after they stick together.
Changing in kinetic energy will be:
(1/2)mu2 - (1/2)(m+M)V2 = (1/2)(2.45)(1.2)2 - (1/2)(2.45+2.21)(0.631)2 = 1.233 J.
for maximum compression,
(1/2)(2.45+2.21)(0.631)2 = (1/2)kx2
=> (1/2)(2.45+2.21)(0.631)2 = (1/2)(38.3)x2
=> x = 0.22 m.
this is the maximum compression in the spring.
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