課程名稱︰普通物理學甲
課程性質︰必修
課程教師︰梁啟德
開課學院：工學院
開課系所︰材料系
考試時間︰2006/11/13
是否需發放獎勵金：是~感謝
（如未明確表示，則不予發放）
試題 :
1.A 60.0 kg person running at an initial speed of 4.00 m/s jumps onto a
120.0 kg cart initially at rest (Fig.1). The person slides on the cart's
top surface and finally comes to rest relative to the cart. The coefficient
of kinetic friction between the person and the cart is 0.400. Friction
between the cart and around can be neglected.
(a) Find the final velocity of the person and cart relative to the ground.
(5%)
(b) Find the friction force acting on the person while he is sliding
across the top surface of the cart.(5%)
(c) How long dose the friction force act on the person ? (5%)
(d) Find the change in momentum of the person and the change in momentum
of the cart. (10%)
(e) Determine the displacement of the person relative to the ground while
he is sliding on the cart.(5%)
(f) Determine the displacement of the cart relative to the ground while
the person is sliding.(5%)
(g) Find the change in kinetic energy of the person.(5%)
(h) Find the change in kinetic energy of the cart.(5%)
○ →v=4.00
| ↙cart
_________∕﹨___ ____________
|_|__________|____
Fig. 1
2. A 4.00 kg object is attached to a vertical rod by two trings , as in
figure 2. The object rotates in a horizontal circle at constant speed
6.00 m/s. Find the tension in
(a) the upper string (5%)
(b) the lower string (5%)
(Hint: sin(48.6度)=3/4 and cos(48.6度)≒2/3)
↑ │＼2.00m
│ ＼
3.00m │ ●
│ ／2.00m
↓ │／
Fig. 2
3.A friend passes by you in a spacecraft traveling at a high speed. He tells
you that his craft is 20.0 m long and that the identically constructed craft
(相同尺寸製造的太空船) you are sitting in is 19.0 m long. According to your
observation,
(a) how long is your spacecraft? (5%)
(b) how long is your friend's craft? (5%)
(c) what is the speed of your friend's craft? (5%)
4.Two objects are connected by a light string passing over a light
frictionless pulley as shown in Figure 3. The object of 5.00 kg is
released from rest.Using the principle of conservation of energy.
(a) determin the speed of the 3.00 kg object just as the 5.00 kg object hits
the ground.(5%)
(b) Find the maximum height to which the 3.00 kg objct rises.(5%)
______________________
｜
●
｜｜
｜｜
｜▅ m1 = 5.00 kg
｜ ｜
m2= 3.00 kg ▃ ｜h=4.00 m
Figure 3
5. The position versis time for a certain particle moving along the x axis in
Figure 4. Find the average velocity in the time intervals
(a) 0 to 2 s (5%)
(b) 0 to 4 s (5%)
(c) 2 to 4 s (5%)
(d) 0 to 8 s (5%)
P.S 此題極為簡單XD 應屬國二程度...故不附圖
※圖畫的不好請見諒 ^^"
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※ 編輯: fight223 來自: 61.228.82.195 (11/14 18:37)