Momentum & Energy: Masses of A & B, Collision, Maximum Compression

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SUMMARY

The discussion focuses on a physics problem involving two blocks, A and B, with masses of 2 kg and 3 kg, respectively, colliding with a spring. At the moment of maximum compression of the spring, both blocks share the same velocity due to the conservation of momentum. The equation used is mv1 + ∫ΣFdt = mv2, which illustrates the relationship between initial and final momentum during the collision. Understanding this concept is crucial for solving similar problems in mechanics.

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  • Understanding of Newton's laws of motion
  • Familiarity with the conservation of momentum
  • Basic knowledge of spring mechanics
  • Ability to apply integral calculus in physics
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  • Learn about Hooke's Law and its application in spring mechanics
  • Explore the concept of impulse and its relation to force and momentum
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Students studying physics, particularly those focusing on mechanics, as well as educators and tutors looking to clarify concepts related to collisions and momentum.

Nikstykal
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Homework Statement


The masses of blocks A and B are 2 kg and 3 kg, respectively. Block A slides to the right on the smooth surface and strikes the spring attached to stationary block B. The spring deforms during the collision process. What quantity do the blocks have in common at the instant the spring has the maximum compression?

The answer is velocity and I'm unsure how.

Homework Equations


mv1 + ∫ΣFdt = mv2

The Attempt at a Solution

 
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If the velocities are not the same, what is happening to the length of the spring?
 
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Likes   Reactions: Nikstykal
You slick guy you... compressing or extending. Makes sense now. Thanks.
 

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