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7. The net force applied on the chopping block is
G
G
G
G
FF
F
F
net
=+
+
123
, where the vector
addition is done using unitvector notation. The acceleration of the block is given by
G
G
G
G
aFFFm
=++
di
/.
(a) The forces exerted by the three astronauts can be expressed in unitvector notation as
follows:
()
1
2
3
ˆˆ
ˆ
ˆ
(32 N) cos 30 i
sin 30
(27.7 N)i
(16 N)j
j
ˆ
(55 N) cos 0 i
sin 0
(55 N)i
j
ˆ
ˆ
(41 N) cos
60 i
sin
60
(20.5 N)i
(35.5 N)j.
j
F
F
F
=°
+
°
=
+
+
°
=
=−
°
+
−
°
=
−
G
G
G
The resultant acceleration of the asteroid of mass
m
= 120 kg is therefore
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Acceleration, Force

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