課程名稱︰普通物理學甲上
課程性質︰數學系大一必帶
課程教師︰黃暉理
開課學院：理學院
開課系所︰數學系
考試日期（年月日）︰2014/01/07
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
題目圖片：http://i.imgur.com/kN5s3Bt.jpg
1. Water flows through a horizontal pipe and then out into the atmosphere at a
speed v . The diameters of the left and right sections of the pipe are d
1 2
and d . The density of water = ρ, and the pressure of the atmosphere = P .
1 0
(a) What volume of water flows into the atmosphere during a period T? In the
left section of the pipe, what are (b) the speed v and (c) the gauge
2
pressure?
2. Block 1 of mass m sliding to the right over a frictionless elevated surface
1
at a speed of v. The block undergoes an elastic collision with stationary
block 2, which is attached to a spring of spring constant k. (Assume that
the spring does not affect the collision.) After the collision, block 2
oscillates in SHM with a period of T, and block 1 slides off the opposite
end of the elevated surface, landing a distance d from the base of that
surface after falling height h. What is the value of d?
3. A handclap on stage in an amphitheater sends out sound waves that scatter
from terraces of width w. The sound returns to the stage as a periodic
series of pulses, one from each terrace; the parade of pulses sounds like a
played note. (Sound velocity is v.) (a) Assuming that all the rays in the
figure are horizontal, find the frequency at which the pulses return (that
is, the frequency of the perceived note). (b) If the width w of the terraces
were smaller, would the frequency be higher or lower?
4. (a) What is the definition of the efficiency of an engine? (b) Show the
efficiency of a Carnot engine. (By T and T , the temperatures of the high-
H L
and low-temperature reservoirs.)
5. One mole of an ideal diatomic gas goes from a to c along the diagonal path.
During the transition, (a) what is the change in internal energy of the gas,
and (b) how much energy is added to the gas as heat? (c) How much heat is
required if the gas goes from a to c along the indirect path abc?