110年 - 110 國立中央大學_碩士班招生考試_地球科學學系/地球物理：普通物理學#103813

科目：研究所、轉學考(插大)◆普通物理學 | 年份：110年 | 選擇題數：0 | 申論題數：18

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所屬科目：研究所、轉學考(插大)◆普通物理學

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申論題 (18)

(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%)

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

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

(c) Shat that the function given above satisfies the wave equation. (5%)

(d) What is the wave speed of the pulse (5 %)? (total 20 %)

(a) Write the equation for the position of the treetop as a function of time.

(b) What is the maximum speed of the threetop ?

(c) At what instants does the treetop has this speed ?

(d) What is the maximum acceleration of the treetop ?

(e) What is acceleration at instant t = 40 s ? (20%)