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Lecty ve 2
Your name
Soletion Set
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Discussion session number / GSI name
Physics 8A Section 2 Midterm #1
March 6, 2003
a) DON’T OPEN THIS EXAM BOOK UNTIL INSTRUCTED TO BEGIN
b) Sit one seat away from anyone else.
¢) This exam is 2 hours long and contains 5 problems.
4) Do all your work on the page indicated for each problem.
e) Show all work; don’t just write an answer without showing your reasoning.
f) This is a closed book exam; calculators and one 8.5” x 11” sheet of notes is allowed.
g) To simplify the math, you can take the acceleration due to gravity as g = 10 m/s”.
h) Possibly useful equations include:
vedx/dt F,=y,N
asdv/dt F, = ,N
K=Xj,+Vott lar K=l/2mv
F =ma=dp/dt U=mgh
p=mv U=1/2kx
Femv/r W = AU + AK + AE, + AE,
W=Fx
SCORING - we'll handle this space ; ) 1)
All problems have the same maximum credit. 2)
3)
4)
5)
TOTAL
FROM = :
FAX NO. = Mar. @? 2083 @2:47PM P2
and an initial velocity v = 10 m/s at an
1) A cannon shoots a bal! with mass m = 10 kg
angle 0 = 30° upward from the horizontal. The top of the canon barrel is at a height
h=5 m above the ground.
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FROM : FAX NOL: Mar. @? 2683 @2:@9PM PS
4) A mass m = 10 kg is placed at the end of a horizontal and compressed spring that has a
- spring constant k = 0 N/m. The spring is then released, releasing its energy to shoot
the mass horizontally along a track. The mass enters a vertical loop-de-loop
configuration of a track that has a radius r = 10 m. The mass just barely makes it
around the loop without losing contact and falling.
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a) What is the velocit ie mass at the toy the loop?
b) What was the original displacement e end of the spri m its position of
relaxation?
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5) Two masses, m, = 20 kg and m, = 30 kg, hang down at the opposite ends of a rope that
has been placed over a massless pulley. Initially the masses are held at the same height.
Then they are released.
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m, A,
a) What is the difference between the height of the two masses at a time t= 2 5 after
release? __. T wat acoelerolion
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