課程名稱︰普通物理學甲上
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）︰2006/11/17
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 :
Mid Term Exam
1.A force F=(3.00N)i+(7.00N)j+(7.00N)k acts on a 2.00kg mobile object
that moves from an initial position of di=(3.00m)i-(2.00m)j+(5.00m)k
to a final position of df=-(5.00m)i+(4.00m)j+(7.00m)k in 4.00s. Find (a)
the work done on the object by the force in the 4.00s interval, (b) the
average power due to the force during that interval, and (c) the angle
between vectors diand df. (10%)
2.A collision occurs between a 2.00kg particle traveling with velocity v1=
(-4.00m/s)i+(-5.00m/s)j and a 4.00kg particle with velocity v2=(6.00
m/s)i+(-2.00m/s)j. The collision connects the two particles. What then is
their velocity in (a) unit-vector notation and as a (b) magtitude and (c)
angle? (10%)
3.In Fig.1, a 1.40kg ball is connected by means of two massless strings,
each of the length 1.70m, to a vertical, rotating rod. The strings are
tied to the rod with separation d=1.80m and are taut. The tension in the
upper string is 40N. What are (a) the tension in the lower string, (b) the
magtitude of the net string force Fnet.str on the ball, and (c) the speed
of the ball? (d) What is the direction of Fnet.str? (13%)
4.An elevator cab of mass 500kg is descending with the speed vi=4.0m/s when
its supporting cable begins to slip, allowing it to fall with constant
acceleration a=g/5 (Fig.2). (a) During the ball through a distance d=12m,
what is the work Wg done on the cab by the gravitational force Fg? (b)
During the 12m fall, what is the work Wt done on the cab by the upward
pull T of the elevator cable? (c) What is the net work W done on the cab
during the fall? (d) What is the cab's kinetic energy at the end of the
12m fall? (13%)
5.In Fig.3, a baseball is hit at a height h=1.00m and then caught at the
same height. It travels alongside a wall, moving up past the top of the
wall 1.00s after it is hit and then down past to the top of the wall 4.00s
later, at distance D=50.0m farther along the wall. (a) What horizontal
distance is traveled by the ball from hit to catch? what are the (b)
magtitude and (c) angle (relative to the horizontal) of the ball's velocity
just after beung hit? (d) How high is the ball? (13%)
6.In Fig.4, a chain consisting of five links, each of mass 0.100kg, is lifted
vertically with constant acceleration of magtitude a=2.50m/s^2. Find the
magtitude of (a) the force on link1 from link2, (b) the force on link2 form
link3, (c) the force on link3 from link4, and (d) the force on link4 from
limk5. Then find the magtitudews of (e) the force F on the top link from
the person lifting the chain and (f) the net force accelerating each link.
(16%)
7.In Fig.5. a 3.5kg block is accelerated from rest by a coompressed spring
of sprong constant 640N/m. The block leaves the spring at spring's relaxed
length and then travels over a horizontal floor with a coeffcient of kinetic
friction μk=0.25. The friction force stops the block in a distance D=7.8m.
What are (a) the increase in the thermal energy of the block-floor system,
(b) the maximum kinetic energy of the block, and (c) the original
compression distance of the spring? (10%)
8.In Fig.6, one block has mass M=500g, the other has mass m=460g, and the
pulley, which is mounted in horizontal frictionless bearings, has a radius
of 5.00cm. Whan released from rest, the more massive block falls 75.0cm in
5.00s (without the cord slipping on the pulley). (a) What is the magtitude
of the blocks' acceleration? What is the tension in the part of the cord
that supports (b) the more massive block and (c) the less massive block?
(d) What is the magtitude of the pulley's angular acceleration? (e) What is
its rotational inertia? (15%)
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