(a) sketch the time-dependent wave function at t = 0 and t = 5.00 s. (5 %)

(a) in the pulling rope and

(b) in the rope from which the block hangs ?

(c) What force is exerted by the upper mount on the top pulley ?

(d) How much work is done by the person pulling  the rope in lifting the block 0.25 m?

(e) By how much does the kinetic Fig. 1 energy of the block change in this proc s ?

(f) How much work does the ceiling do in this process ?

(g) How much work does Earth do on the block ?

(h) Draw energy diagrams for three systems during the lifting: block； block and Earth； block, Earth, pulleys, rope, and person (40 %).

2. A research vessel performs a river survey. The vessel moves downstream with a constant speed 6 m/s relative to the water. The river has a steady current of 1 m/s relative to the ground. Mary sits on the boat and his instrument falls into the river. Five minutes later, she notices that his instrument is missing and immediately turns the boat around, moves upriver with the same speed of 6 m/s relative to the water. How long does it take the man to row back upriver to reclaim his instrument ? (20%)

(b) sketch the pulse as a function of time at x = 0 and x = 5.00 m. (5 %)

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