A 5-gallon container of water (approximately 20 kg) having a temperature of 212°F is added to a 50-gallon tub (approximately 200 kg) of water having a temperature of 50°F. What is the final equilibrium temperature (in °C) of the mixture?
A. 54
B. 36
C. 18
D. 66
E. 14
Answer: C
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A string on a violin is stretched between two points 20.00 cm apart with a tension of 120.0 N. The mass/length of the string is 0.002000 kg/m. The frequency of the mode next higher than the fundamental mode is
A. 1,400 Hz. B. 1,322 Hz. C. 1,225 Hz. D. 1,558 Hz. E. 2,120 Hz.
A person makes ice tea by adding ice to 1.8 kg of hot tea, initially at 80°C. How many kilograms of ice, initially at 0°C, are required to bring the mixture to 10°C?
A) 1.0 kg B) 1.2 kg C) 1.4 kg D) 1.5 kg E) 1.7 kg
As a 3.0-kg bucket is being lowered into a 10-m deep well, starting from the top, the tension in the rope is 19.6 N. The acceleration of the bucket will be:
a. 6.5 m/s2 downward. c. zero. b. 9.8 m/s2 upward. d. 3.3 m/s2 downward.
The speed of sound in the air inside a 0.640-m long gas column is 340 m/s. What is the fundamental resonant frequency of this air column if it is
(a) open at one end and closed at the other end? (b) open at both ends?