Thevalingam, Donald – Homework 18 – Due: Feb 7 2007, midnight – Inst: Eslami
1
This
printout
should
have
17
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
The due time is Central
time.
001
(part 1 of 6) 10 points
A heavy ball swings on a string in a circular
arc of radius 1 m.
Q
1 m
Q
0
P
18
◦
The two highest points of the ball’s trajec
tory are
Q
and
Q
0
; at these points the string is
±
18
◦
from the vertical. Point
P
is the lowest
point of the ball’s trajectory where the string
hangs vertically down.
The acceleration of gravity is 9
.
8 m
/
s
2
.
What is the ball’s speed at the point
P
? Ne
glect air resistance and other frictional forces.
Answer in units of m
/
s.
002
(part 2 of 6) 0 points
What is the magnitude of the ball’s acceler
ation at the point
P
?
Answer in units of
m
/
s
2
.
003
(part 3 of 6) 10 points
What is the ball’s speed at the point
Q
?
1.
0 m
/
s
<
k
v
Q
k
<
k
v
p
k
2.
k
v
Q
k
= 0 m/s
3.
k
v
Q
k
<
0 m/s
4.
k
v
Q
k
>
k
v
p
k
5.
k
v
Q
k
=
k
v
p
k
004
(part 4 of 6) 0 points
What is the magnitude of the ball’s acceler
ation at the point
Q
?
Answer in units of
m
/
s
2
.
005
(part 5 of 6) 10 points
After several swings, the string breaks.
The
mass of the string and air resistance are neg
ligible.
If the break occurs when the ball is at point
P
, describe the motion of the ball after the
break.
1.
It moves horizontally with a constant
speed.
2.
The ball falls vertically straight down.
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 Spring '10
 Tleva
 Acceleration, Velocity

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