1) Two blocks each of mass m = 2.98 kg are fastened to the top of an elevator as
ID: 1784396 • Letter: 1
Question
1) Two blocks each of mass m = 2.98 kg are fastened to the top of an elevator as in the figure. (a) If the elevator has an upward acceleration a = 1.60 m/s2, find the tensions Ti and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 91.0 N, what maximum acceleration can the elevator have before the upper string breaks? (show the steps of your calculation and indicate units to get credit) 2) A river has a steady speed of 0.600 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point. (a) If the student can swim at a speed of 1.40 m/s in still water, how long does the trip take? (b) How much time is required in still water for the same length swim? ur calculation and indicate units to get credit)Explanation / Answer
a) T1 = 2m ( 9.81 + 1.6)
T1 = 2 × 2.98 × 11.41 = 68.0 N
) T2 = 2.98 × 11.41 = 34.0 N
b) if T = 91
91 = 2×2.98×(9.81 + a)
a = 5.46 m/s^2
2) upstream net speed is 0.800 m/s
downstream net is 2.00 m/s
t = d/v
up time + down time = total time
1000/0.800 + 1000/2.00 = 1250 + 500 = 1750
still water
2000/1.40 = 1428.57
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