fullwood (tf5349) – Quiz Linear Momentum – Catala – (49033)
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001
(part 1 of 2) 10.0 points
A revolutionary war cannon, with a mass of
2100 kg, fires a 24
.
4 kg ball horizontally. The
cannonball has a speed of 109 m
/
s after it has
left the barrel.
The cannon carriage is on a
flat platform and is free to roll horizontally.
What is the speed of the cannon immedi
ately after it was fired?
Correct answer: 1
.
26648 m
/
s.
Explanation:
Let :
m
= 24
.
4 kg
,
M
= 2100 kg
,
and
v
= 109 m
/
s
.
The cannon’s velocity immediately after it
was fired is found by using conservation of
momentum along the horizontal direction:
M V
+
mv
= 0
⇒ 
V
=
m
M
v
where
M
is the mass of the cannon,
V
is the
velocity of the cannon,
m
is the mass of the
cannon ball and
v
is the velocity of the cannon
ball. Thus, the cannon’s speed is

V

=
m
M

v

=
24
.
4 kg
2100 kg
(109 m
/
s)
=
1
.
26648 m
/
s
.
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 Spring '10
 PRO.KIROSHIMA
 Kinetic Energy, Momentum, 1 m, 0.1 m, 0 m, 0.18 m, 1 1 m

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