Collision of a block with a spring

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SUMMARY

The discussion centers on a physics problem involving a 100g block attached to a spring with a spring constant of k = 20 N/m and a 20g ball thrown horizontally at 5.0 m/s. The collision is perfectly inelastic, meaning the ball and block stick together after impact. To find the speed after the collision, the conservation of momentum equation is applied: m1v1 + m2v2 = (m1+m2)V. Following this, energy equations are utilized to determine the maximum compression of the spring.

PREREQUISITES
  • Understanding of conservation of momentum
  • Knowledge of perfectly inelastic collisions
  • Familiarity with spring mechanics and Hooke's Law
  • Basic principles of energy conservation
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  • Study the conservation of momentum in inelastic collisions
  • Learn about Hooke's Law and its applications in spring mechanics
  • Explore energy conservation principles in mechanical systems
  • Investigate the equations of motion for systems involving springs
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for practical examples of inelastic collisions and spring dynamics.

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Homework Statement


a 100g block on a frictionless table is firmly attached to one end of a spring with k = 20 N/m. the other end of the spring is anchored to the wall. a 20g ball is thrown horizontally toward the block with a speed of 5.0 m/s.
assuming that the collision is perfectly inelastic what is the speed of the ball immediately after the collision and what is the maximum compression of the spring?

Homework Equations

The Attempt at a Solution


so for a perfectly inelastic collision the ball and the block fuse? this one is kind of confusing me. can someone help me out with this
thanks in advance
 
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Yes. They move together after collision.
 
Start off by writing a conservation of momentum equation. Have the initial momentum of both objects added together equal to the momentum of both masses stuck together.

m1v1 + m2v2 = (m1+m2)V ; find V and use energy equations to solve for X
 

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