homework 02 – ALIBHAI, ZAHID
1
Latest unpenalized work: Jan 29 2007 Mon
day 04:00 (after this date you can not make a
perfect score). Work cutoff: Jan 31 2007, 4:00
am.
Question 1
part 1 of 2
10 points
The tallest volcano in the solar system is the
32 km tall Martian volcano, Olympus Mons.
Assume:
An astronaut drops a ball off the
rim of the crater and that the free fall acceler
ation of the ball remains constant throughout
the ball’s 32 km fall at a value of 2
.
7 m
/
s
2
.
(We assume that the crater is as deep as the
volcano is tall, which is not usually the case
in nature.)
a) Find the time for the ball to reach the
crater floor.
Answer in units of s.
Question 2
part 2 of 2
10 points
b) Find the magnitude of the velocity with
which the ball hits the crater floor.
Answer in units of m
/
s.
Question 3
part 1 of 2
10 points
A ball is thrown upward.
After reaching
a maximum height, it continues falling back
towards Earth.
On the way down, the ball
is caught at the same height at which it was
thrown upward.
Neglect:
Air resistance.
The acceleration
of gravity is 9
.
8 m
/
s
2
.
Its initial vertical speed
v
0
, acceleration
of gravity
g
, and maximum height
h
max
are
shown in the figure below.
v
0
9
.
8 m
/
s
2
h
max
If the time (
up
and
down
) the ball remains
in the air is
t
, calculate its speed
v
f
when it
caught.
1.
v
f
= 2
g t
2.
v
f
=
√
2
g t
3.
v
f
=
1
√
2
g t
4.
v
f
=
g t
5.
v
f
=
1
4
g t
6.
v
f
=
1
2
g t
7.
v
f
= 4
g t
Question 4
part 2 of 2
10 points
If the time the ball remains in the air is
t
,
calculate the maximum height
h
max
the ball
attained while in the air.
1.
h
max
= 4
g t
2
2.
h
max
=
1
4
g t
2
3.
h
max
= 8
g t
2
4.
h
max
=
1
8
g t
2
5.
h
max
=
g t
2
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homework 02 – ALIBHAI, ZAHID
2
6.
h
max
=
1
2
g t
2
7.
h
max
= 2
g t
2
Question 5
part 1 of 1
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 Spring '08
 Turner
 Vector Space, Dot Product, Acceleration, Work, Velocity, Euclidean vector

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