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Unformatted text preview: Physics 8A _ Fall 2003
Midterm 2 (Section 2) 1. (10 pts) An object of mass m :is attached to a string of ﬁn ; length L. The string is initially horizontal. The mass T
is released from rest and is allowed to swing
downward to the vertical position, where it collides
with another object of mass 2m, which is initially at
rest. After the collision, the ﬁrst object is at rest. Find
the speed of the second object after the collision. _______,__E3
Express your answer in terms of m, g, and L (although you may not have all three of these quantities in your answer). 2. (15 pts) A pulley with a radius of 0.50 m has a cord wrapped around it with
a 2.0 kg block hanging from it, as shown. The block is initially at rest, and
then drops a distance of 3.0 m over a time interval of 1.5 5. Find (a) the
acceleration of the block, (b) the tension in the cord, and (c) the moment of
inertia of the pulley. 3. (15 pts) Suppose we have a Venturi tube carrying water, as shown. At the left end,
the pipe has a diameter of 1.5 cm, and the water is entering with a volume ﬂow rate
of 6.0 x 10 4 m3/s (a) What 1: the pressure difference between the left and right
sections of the pipe? (b) What is the diameter of the right section of the pipe?
Note: The density of water is LOO x 103 kg/m3. 3.9"“ 4. (10 pts) Suppose a 0.20 kg mass is attached to a spring, and is undergoing simple harmonic
motion given by x(t) — (3. 0 m) cos [(8. 2 rad/s)t — 1.2 rad]. Find (a) the spring constant, (b)
the period of the motion, (c) the total mechanical energy of the mass spring system, and (d)
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