[試題] 96上 王建萬 普通物理學甲上 期中考

[ja000123 (懿軒)]

課程名稱︰普通物理(甲)
課程性質︰共同必修
課程教師︰王建萬
開課學院：
開課系所︰生工系
考試日期（年月日）︰2007/11/23
考試時限（分鐘）：110
是否需發放獎勵金：是
（如未明確表示，則不予發放）

試題 :

                  07F Mid term Exam

1. The position "r" of a particle moving in an x-y plane is given by
   r=(2.00t^4-4.00t^2)i+(6.00-5.00t^3)j,with r in meters and t in
   seconds.In unit-vector notation,calculate (a) r (b) v ,and (c) a
   for t=2.00s (d)What is the angle between the positive direction
   of x-axis and a line tangent to the particle's path at t=2.00s.
                                                            (10%)

2. A soccer player kicks a soccer ball of mass 0.45kg that is initially
   at rest.The player's foot is in contact with the ball for 3.0x10^-3s,
   where t is in seconds.Find the magnitudes of (a) the impulse on the
   ball due to the kick,(b) the average force on the ball from the player's
   foot during the period of contact, (c) the maximum force on the ball from
   the player's foot during the period of contact,and (d) the ball's velocity
   immediately after it loses contact with the player's foot.    (10%)

3. A car travels at 100km/h on a level road in the positive direction of
   an x-axis.Each tire has a diameter of 80cm. Relative to a woman riding
   in the car and in unit-vector notation, what are the velocity V at the
   (a) center, (b) top, and (c) bottom of each tire and the magnitude of
   the acceleration at the (d) center, (e) top, and (f) bottom of each
   tire? Relative to a hitchhiker sitting next to the road and in unit-vector
   notation, what are the velocity V at the (g) center,(h) top,and (i)bottom
   of the tire and the magnitude a of the acceleration at the (j) center,
   (k) top, and (l) bottom of each tire?                      (18%)

4. In Fig.1,block 1 has mass m1=400g, block 2 has mass m2=600g,and the pulley
   which is mounted on a horizontal axle with negligible friction,has radius
   R=4.00cm. When released from rest,block 2 falls 60.0cm in 5.00s without
   the cord slipping on the pulley. (a) What is the magnitude of the
   acceleration of the blocks? What are (b) tension T2 and (c) tension T1?
   (d)What is the magnitude of the pully's angular acceleration? (e) What is
   its rotational inertia?                                    (12.5%)

5. In Fig. 2,a passenger of mass m=80.0kg stands on a platform scale in an
   elevator cab. We are concerned with the scale readings when the cab is
   stationary and when it is moving up or down.(a) Find a general solution
   for the scale reading, whatever the vertical motion of the cab. (b)What
   does the scale read if the cab is stationary or moving upward at a
   constant speed 0.80m/s ? (c) What does the scale read if the cab
   accelerates upward at 4.00 m/s^2 and downward at 4.00 m/s^2? (d)During
   the upward acceleration in part (c),what is the magnitude F(net) of the
   net force on the passenger, and what is the magnitude a(p.cab) of his
   acceleration as measured in the frame of the cab?Does F(net)=a(p.cab)?
                                                               (10 %)

6. Body A in Fog.3 weights 132N,and body B weights 48N. The coefficients
   of friction between A and incline are μs=0.56 and μk=0.25 .Angle
   θ=45。. Let the positive direction of an x-axis be up the incline.
   In unit-vector notation, what is the acceleration of A if A is initially
   (a) at rest, (b) moving up the incline ,and (c) moving down the incline?
                                                               (9 %)

7. The block in Fig.4 lies on a horizontal frictionless surface, and the
   spring constant is 60 N/m. Initially, the spring is at its relaxed length
   and the block is stationary at position x=0. Then an applied force with
   a constant magnitude of 4.0 N pulls the block in the positive direction
   of the x-axis, stretching the spring until the block stops. When that
   stopping point is reached, what are (a) the position of the block, (b)
   the work has done on the block by the applied force, and (c) the work
   that has been down on the block by the spring force? During the block's
   displacement, what are (d) the block's position when its kinetic energy
   is maximum and (e) the value of that maximum kinetic energy?
                                                               (12.5%)

8. In Fig.5, a 65kg rock climber is in a lie-back climb along a fissure,
   with hands pulling on one side of the fissure and feet pressed against
   the opposite side. The fissure has width w=0.25m,and the center of mass
   of the climber is a horizontal distance d=0.40m from the fissure. The
   coefficient of static friction between hands and rock is μ1=0.5, and
   between boots and rock is μ2=1.3 . (a) What is the least horizontal
   pull by the hands and push by the feet that will keep the climber stable?
   (b) For the horizontal pull of(a),what must be the vertical distance h
   between hands and feet? If the climber encounters wet rock, so that
   μ1 and μ2 are reduced, what happens to (c) the answer to (a)
   (d) the answer to (b)?                                     (10%)

9. In Fig.6, a 5.0kg block is accelerated from rest by a compressed spring
   of spring constant 720 N/m. The block leaves the spring at the spring's
   relaxed length and then travels over a horizontal floor with coefficient
   of kinetic friction μk=0.30. The frictional force stops the block in
   distance D=0.8m. What are (a) the increase in thermal energy of the
   block-floor system, (b) the maximum kinetic energy of the block ,and (c)
   the original compression of the spring?                     (8 %)

補充
1.出處 p.78  習題 4-13
2.出處 p.233 習題 9-35
3.出處 p.297 習題11- 1
4.出處 p.269 習題10-55  Fig.10-45(Fig.1)
5.出處 p.104 Sample problem5-8  Fig 5-19(Fig.2)
6.出處 p.133 習題 6-29  Fig.6-36 (Fig.3)
7.出處 p.162 習題 7-33  圖在p.150 fig-7-11a (Fig.4)
8.出處 p.323 習題12-26  Fig.12-42 (Fig.5)
9.出處 p.194 習題 8-55  Fig8-54 (Fig.6)

=====課本為第八版=====
考題都是他勾的作業改數字而來的
除了５、８兩題以外
5是課本的例題,我沒寫過 (不知他上課有沒有教 = =)
8是平常作業以外的習題


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※ 編輯: ja000123        來自: 218.168.49.243       (11/25 16:24)
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