For lunch you and your friends decide to stop at the nearest deli and have a san

Question

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.100 kg of turkey. The slices of turkey are weighed on a plate of mass 0.400 kg placed atop a vertical spring of negligible mass and force constant of 200 N/m. The slices of turkey are dropped on the plate all at the same time from a height of 0.250 m. 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. a. What is the amplitude of oscillations of the scale after the slices of turkey land on the plate? Express your answer numerically in meters and take free-fall acceleration to be g = 9.80 m/s^2 b. What is the period of oscillation of the scale?

Explanation / Answer

help: Assuming that the turkey's mass is 0.1 kg, the mass of the plate is 0.4 kg, and the spring constant is 200 N/m: The weight of the mass on the spring is 0.5 kg, and the period time is T = 2pi*v(m/k) = 2piv(0.5/200) = 0.314 seconds. From how high the turkey falls onto the plate has not to do with the period time. The height, and so the kinetic energy of plate + turkey has only to do with the extend of the spring's compression, but the compression has not to do with the period time

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