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Please complete questions #2-3. Show all work.
1. A 250 g mass on a vertical spring oscillates at a frequency of 1.0 Hz. If a 500 g mass were instead suspended from the same spring, what would be the frequency of oscillation? . A breeze sets into oscillation a lamp suspended from the ceiling, If the period is 1.0 s, what is the distance from the ceiling to lamp at the lowest point? Assume the lamp acts as a simple pendulum. . A 0.10 kg block suspended from a spring is pulled to 8.0 cm below its equilibrium position and released. When the block passes the equilibrium position, it has a speed of 0.40 m/s. What is the speed of the block when it is 4.0 cm from the equilibrium position? 4. A slingshot consists of a light leather cup containing a stone that is pulled back against the elastic force of two rubber bands. It takes a force of 30 N to stretch the bands 1 cm. a) What is the PE of a 50.0 g stone that is pulled back 20 cm from the equilibrium position? b) With what speed does the stone leave the slingshot? 5. A 10 kg load suspended by a brass wire 10 m long is observed to vibrate vertically in SHM at a frequency of 10 vibs. Given that the Youngs modulus for brass is 9 x 1010 N/m, what is the cross-sectional area of the wire?
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