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# SHM With Conservation of Momentum, energy: Vertical spring

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For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 of Italian ham. The slices of ham are weighed on a plate of mass 0.400 placed atop a vertical spring of negligible mass and force constant of 200 . The slices of ham are dropped on the plate all at the same time from a height of 0.250 . They make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (SHM). You may assume that the collision time is extremely small.

What is the amplitude of oscillation of the scale after the slices of ham land on the plate? Express your answer numerically in meters and take free-fall acceleration to be = 9.80 .

What is the period of oscillation of the scale? Express your answer numerically in seconds.

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#### Solution Preview

Please see the attached file.

amplitude of oscillation and period of oscillation/Weighing Lunch
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Please hepl with following problem. Thanks!

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 of Italian ham. The slices of ham are weighed on a plate of mass 0.400 placed atop a vertical spring of negligible mass and force constant of 200 . The slices of ham are dropped on the plate all at the same time from a height of 0.250 . They make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (SHM). You may assume that the collision time is extremely small.

What is the amplitude of oscillation of the scale after the slices of ham land on the plate? Express your answer ...

#### Solution Summary

A good question based on free fall, conservation of linear momentum and energy, and oscillations of vertical spring.

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