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 0.400 of turkey. The slices of turkey are weighed on a plate of mass 0.410 placed atop a vertical spring of negligible mass and force constant of 232 . The slices of turkey are dropped on the plate all at the same time from a height of 0.210 . 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. 1.What is the amplitude of oscillations of the scale after the slices of turkey land on the plate? 2.What is the angular frequency of the oscillation? 3.What is the period of oscillation of the scale?

Explanation / Answer

conservation of momentum v=sqrt(2*g*h)=2.03 m/s mv=(M+m)V 0.400*2.03=0.810*V V=1m/s then kinetic energy=1/2k*A^2 A=sqrt((M+m)/k)*V=sqrt(0.810/232)*1 0.059 ... m = 5.9cm

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