p140f04_final_1_sol - Physics 140 Fall 2004: Final Exam...

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Physics 140 Fall 2004: Final Exam Solutions Please print your name:_____________________________________________ Please list your discussion section number:______________________________ Please list your discussion instructor:___________________________________ Form #1 Instructions Fill in your name above 1. This will be a two hour, closed book exam. The exam includes 25 questions. 2. You may use a calculator, please do not share calculators 3. You may use as many as four 3”x5” note cards with notes and equations you think may be useful. You can write on both sides of the cards if you like. 4. You will be asked to show your University student ID card when you turn in your exam. ID checked by:___________________________________ Discussion section reminder: Section 004 M/W 8:00-9:00 Don Smith Section 005 M/W 9:00-10:00 Don Smith Section 006 M/W 10:00-11:00 Don Smith Section 007 M/W 9:00-10:00 Roy Clarke Section 008 M/W 10:00-11:00 Roy Clarke Section 009 M/W 11:00-12:00 Roy Clarke Section 010 M/W 12:00-1:00 Don Smith Section 011 M/W 1:00-2:00 Don Smith Section 012 M/W 2:00-3:00 Don Smith Section 013 M/W 10:00-11:00 Carl Akerlof Section 014 M/W 11:00-12:00 Carl Akerlof Section 015 M/W 12:00-1:00 Jay Chapman Section 023 M/W 1:00-2:00 Noemi Mirkin Section 024 M/W 2:00-3:00 Noemi Mirkin
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1. A monkey whose mass is “m”, hangs from a rope which stretches over a pulley to an equal mass bunch of bananas hanging from the other end as shown in the left hand picture. Another (identical) monkey jumps onto the bananas. What is the magnitude of the acceleration experienced by each monkey for this newly unbalanced case (shown on the right)? (a) 0.66g (b) 1.33 g (c) 0.66 g (d) *0.33 g (e) 0.5 g 2. A block of mass m 1 is pulled along a frictionless horizontal surface by another block connected to it by a rope as shown below. What is the acceleration of block m 1 ? (a) (m 1 /m 2 )g (b) m 2 g/(m 1 -m 2 ) (c) g (d) m 1 g/(m 1 +m 2 ) (e) *m 2 g/(m 1 +m 2 ) m 1 m 2 In the new unbalanced case you have 2m on the right, and m on the left. Sum the forces on each: Σ F l = T – mg = ma, Σ F r = 2mg – T = 2ma. Adding these two equations, you obtain mg = 3ma, or a = g/3. Σ F 1 = T = m 1 a Σ F 2 = m 2 g – T = m 2 a Adding these equations m 2 g = (m 1 + m 2 )a a= m 2 g / (m 1 + m 2 )
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3: A block of mass M is attached to a cord that is wrapped around the rim of a pulley of diameter 50 cm and hangs vertically as shown. The rotational inertia of the pulley is 0.4 kgm 2 . When the block is released the cord unwinds and the acceleration of the block is 6.4 m/s 2 . What is the mass of the block? (a) 1 kg (b) 3 kg (c) 6 kg (d) 10 kg (e) *12 kg 4: A pool ball of mass m , initially at rest, is struck by a cue stick so that it acquires a speed v. If t represents the duration of the collision between the stick and the ball, which expression determines the magnitude of the average force exerted on the ball? (a)
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p140f04_final_1_sol - Physics 140 Fall 2004: Final Exam...

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