課程名稱︰普通物理學甲上
課程性質︰必帶
課程教師︰蔡政達
開課學院：理學院
開課系所︰化學系
考試日期（年月日）︰98/11/12
考試時限（分鐘）：110min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.
A single force acts on a 5.0kg particle-like object whose position is
given by x=5.0t - 4.0t^2 + 2.0t^3,with x in meters and t in seconds
(a)Find the work done on the object by the force from t=0 to t=10.0s
(b)Find the average force acting on the object from t=0 to t=10.0s
(c)Find the force acting on the object at t=10.0s
2.
A ball is shot vertically upward from the surface of another planet
A plot of y versus t for the ball is shown in Fig, where y is the height
of the ball above its starting point and t=0 at the instant the ball is shot.
The figure's vertical scaling is set by ys =36.0m (TA said the Hmax=30.0m)
What are the magnitude of
(a)the free-ball acceleration on the planet
(b)the initial velocity of the ball
(c)the velocity at t=4 sec?
y↑ (2.5s reach Hmax)
│
│ ╱╲
│ ∕ ﹨
│∕ ﹨
└────→
1 2 3 4 5
3.
A boy is initially seated on the top of a hemispherical ice mound of radius
R=13.8m . He begins to slide down the ice, with a negligible initial speed
Approximate the ice as being frictionless At what height does the boy lose
contact with the ice?
4.
In fig C , block 1 of mass m1 slide from rest along a frictionless ramp from
height h=2.50m and then collides with stationary block 2 ,which has mass
m2=2.00m1. After the collision, block 2 slides into a region where the
coefficient of kinetic friction μs=0.500 and comes to a stop in distance d
within that region What is the value of distance d if the collision is
(a)elastic
(b)completely unelastic
﹨ 1
﹨□ ---
﹨ ↑
╲ h 2
╲ ↓ □ μk
────────────══════════════
5
An observer O observes that a proton moves along the x-axis according to the
equation x(t)=t^2+2t y(t)=0.0 , where x is in meters ,y is in meters and t
is in seconds. Please
(a)Calculate the average velocity of the proton during the first 3.0s of its
motion
(b)Calculate the instantaneous velocity of the proton at t=3.0s
(c)Calculate the instantaneous acceleration of the proton at t=3.0s
(d)Graph x versus t and indicate how the answer to (a) can be obtained from
the plot
(e)Assume that there is another observer O' whose x-axis and y-axis are
parallel to O respectively. If O' is located at the proton position at
t=0.0s, and moves relative to O with constant velocity -5m/s in y-dircion
Calculate the volecity of the proton relative to O' at t=5.0s
(f)What is the trajectory of the proton seen by O'
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