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課程名稱︰普通物理學甲〈上〉
課程性質︰大一共同必修
課程教師︰高涌泉
開課學院：理學院
開課系所︰物理系
考試日期（年月日）︰98/11/12
考試時限（分鐘）：120分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.(10%)The potential energy of a diatomic molecule is given by
A B
U = —— - ——
r^12 r^6
where r is the separation of the 2 atoms of the molecule and A and B are
positive constants.
(a)What is the equilibrium separation between the atoms?
(b)Is the force repulsive or attractive if their separation is smaller than
the equilibrium separation?
→ → ^
2.(15%)Is the force of the form F (r)=f(r)r a conservative force? Explain why.
3.(15%)We observe in the earth reference frame (a non-inertial frame) that the
far away stars are regularly rotating around the earth. Of course, we know
that the stars appear to move in circular orbits because the earth is
spinning. Now according to the Newton's 2nd Law, the stars must be under
the influence of forces in order to move in circles (in the earth frame).
What are these forces?
4.(20%)In the right figure, ●
a ball of mass M and radius R rolls smoothly from rest ︴╲
down a ramp and onto a circular loop of radius r. ︴ ╲
The initial height of the ball is h. h ︴ ╲
At the loop bottom, the magnitude of the normal force ︴ ╲
on the ball is 2Mg. ︴ ╲＿╱
The ball consist of an outer spherical shell (of a certain uniform density)
that glued to a central sphere (of a different uniform density). The
rotational inertia of the ball can be expressed in the general form I=βMR^2.
What is β?
5.(20%)Suppose that there exists a transportation system in which Taipei is
connected with New York through a straight tunnel. The trains slide through
the tunnel under the influence of gravity and without any resistance. If a
train leaves Taipei at 10:00 am, when dose it arrive at New york? (台北時間)
(Assume that the earth is a homogeneous, non-rotating sphere.)
6.(20%)Please describe how Newton explained the Kepler's 2nd Law (the area Law)
in his Principia?
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※ 編輯: hen0123 來自: 61.216.6.197 (07/28 16:31)