Collision of a block with a spring

AI Thread Summary
In a perfectly inelastic collision, a 20g ball collides with a 100g block attached to a spring, resulting in both objects moving together post-collision. To find the speed immediately after the collision, apply the conservation of momentum equation: the total momentum before the collision equals the total momentum after. The equation m1v1 + m2v2 = (m1 + m2)V helps determine the combined velocity V. After finding V, use energy conservation principles to calculate the maximum compression of the spring. This approach effectively combines momentum and energy concepts to solve the problem.
mjolnir80
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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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