Version 065/ABAAB – QTest #7 – Antoniewicz – (56445)
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001
10.0points
A
projectile
is
fired
vertically
upward
from the surface of planet Moorun of mass
9
×
10
24
kg and radius 2
×
10
6
m.
If this projectile is to rise to a maximum
height above the surface of Moorun equal to
5
×
10
6
m, what must be the initial speed of
the projectile?
The universal gravitational
constant is 6
.
67259
×
10

11
N
·
m
2
/
kg
2
.
1. 3.65311
2. 19.5267
3. 10.5456
4. 5.44573
5. 7.56265
6. 9.85169
7. 24.163
8. 8.47695
9. 13.9505
10. 20.7112
Correct answer: 20
.
7112 km
/
s.
Explanation:
Let :
M
= 9
×
10
24
kg
,
R
= 2
×
10
6
m
,
h
= 5
×
10
6
m
,
and
g
= 6
.
67259
×
10

11
N
·
m
2
/
kg
2
.
Denote the mass of the projectile by
m
. Its
initial total energy (at takeoff) is
E
i
=
1
2
mv
2

GMm
R
and its total energy at the maximum height is
E
f
= 0

GMm
R
+
h
,
since the projectile has zero velocity at its
highest point.
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 Fall '08
 Turner
 Mass, Correct Answer

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