PROBLEM 1:
(6,6 pts.)
A mass,
kg, slides down of a frictionless circular path of radius,
m, as shown in the figure at right. Initially it moves only vertically
and, at the end, only horizontally (1/4 of a circle all told). Gravity,
m/s
, acts along the vertical.
If the initial velocity is -2 m/s
k
(down is negative),
(a) what is the work done by gravity?
(b) what is the final speed of the mass when it reaches the bottom?
PROBLEM 2:
(6 pts.)
An object is acted upon by only two forces, one conservative and one nonconservative, as
it moves from point
A
to point
B
. The kinetic energy of the object at points
A
and
B
are
equal if
(Circle the correct answer.)
(A)
the sum of the two forces' work is zero.
(B)
the work of the nonconservative force is zero.
(C)
the work of the conservative force is zero.
(D)
the work of the conservative force is equal to the work of the nonconservative
force.
(E)
None of these will make them equal.
PROBLEM 3:
(12 pts., 6, 6)
Two uniform density solid cylinders of equal mass M= 3.0 kg and
differing radii
m and
m are mounted so that the smaller
cylinder is held directly above the larger radius mass. Initially the bottom
mass is spinning at 2.5 rad/sec while the top mass is a rest. The top mass is
very gently dropped onto the bottom so that it remains centered and,
afterwards, they stick such that the two masses rotate at the same angular

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