Physics 204A
FINAL EXAM Chapters 1  14
Fall 2006
1
Name:__________________________________
Solve the following problems in the space provided. Use the back of the page if needed. Each problem is
worth 10 points. You must
show your work in a logical fashion starting with the correctly applied
physical principles. The equations you need are on the equation sheet. Your score will be maximized if
your work is easy to follow because partial credit will be awarded.
1. A wad of paper is tossed into a wastebasket 2.00m away.
It is
released with an initial speed of 4.00m/s at an angle of 30.0˚.
Assume that it lands in the center of the bottom and that air
resistance is negligible.
Find (a)the time the wad is in the air and
(b)the height from which it was released.
x
o
= 0
y
o
= h
x = 2.00m
y = 0
v
ox
= 4.00 cos 30˚ = 3.46m/s
v
oy
= v
o
sin 30˚= 2.00m/s
v
x
= 3.46m/s
v
y
= ?
a
x
= 0
a
y
= 9.80m/s
2
t = ?
(a)Using the kinematic equation for the final xposition,
x
=
x
o
+
v
ox
t
+
1
2
a
x
t
2
"
x
=
v
ox
t
"
t
=
x
v
ox
=
2.00
3.46
"
t
=
0.577
s
.
(b)Using the kinematic equation for the final yposition,
y
=
y
o
+
v
oy
t
+
1
2
a
y
t
2
"
0
=
h
+
v
oy
t
+
1
2
a
y
t
2
"
h
=
#
(
v
oy
t
+
1
2
a
y
t
2
)
.
Putting in the numbers,
h
=
"
[(2.00)(0.577)
+
1
2
(
"
9.80)(0.577)
2
]
#
h
=
0.479
m
.
2.
Below is a table of some data about four moons of Jupiter discovered by Galileo.
Rank these moons
in order of the magnitude of their acceleration.
That is, rank first the one with the highest acceleration
and rank last the one with the smallest acceleration.
Explain your reasoning.
These moon are in circular orbit around Jupiter so the
experience centripetal acceleration which is given by,
a
c
=
v
2
r
.
Io:
a
c
=
v
2
r
=
(17.3)
2
422
=
0.709
Callisto:
a
c
=
(8.20)
2
1883
=
0.036
Ganymede:
a
c
=
v
2
r
=
(10.9)
2
1070
=
0.111
Europa:
a
c
=
v
2
r
=
(13.7)
2
671
=
0.280
The ranking is:
Io >Europa> Ganymede> Callisto
Moon
Orbital
Radius
(x10
6
m)
Orbital
Speed
(x10
3
m/s)
Io
422
17.3
Callisto
1883
8.20
Ganymede
1070
10.9
Europa
671
13.7
30˚
o
v
2.00m
x
y
h = ?
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Physics 204A
FINAL EXAM Chapters 1  14
Fall 2006
2
3. A 5.00kg beam 2.00m long is hinged at one end and held at a 37˚
angle above the horizontal by a horizontal cable. Find the tension in
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 Fall '09
 Kagan
 Energy, Kinetic Energy, Momentum, Work, Rotation, Law of Conservation of Angular Momentum

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