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# 1. A rope having a total mass of 0.4kg and total length 4m has 0.6m of the rope hanging vertically down off a work bench. How much work must be done

1. A rope having a total mass of 0.4kg and total length 4m has 0.6m of the rope hanging vertically down off a work bench. How much work must be done to place all the rope on the bench? 2. A particle is trapped in an infinite one-dimensional well of width 0.132nm. The electron is in the n=10 state. A) What is energy of the electron? B) What is the uncertainty in its momentum? 3. If the amplitude of a damped oscillator decreases to 1 e of its initial value after n periods, show that the frequency of the oscillator must be approximately ( 29 1 2 2 1 8 n π - - times the frequency of the corresponding undamped oscillator. 4. A 6500-kg helicopter accelerates upward at 0.60 m/s² while lifting a 1200-kg car. ( a ) What is the lift force exerted by the air on the rotors? ( b ) What is the tension in the cable (ignore its mass) that connects the car to the helicopter? 5. Block 2 (mass 1kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 200N/m. The other end of the spring is fixed to the wall. Block 1(mass 1kg) travels at a speed of 4m/s collides with block 2and the two stick together. What distance is the spring compressed when the blocks momentarily stops.

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