Chapt. 9
Momentum
91
a) 0.
b) 6
.
0 m
/
s.
c)
−
6
.
0 m
/
s.
d) 2
.
7 m
/
s.
e) Indeterminate.
FullAnswer Problems
009 qfull 00100 2 3 0 moderate math: proving F=ma system
Extra keywords:
For calculusbased course. Maybe for tests since it’s in notes.
1. Consider a system of particles.
The system is general.
The particles may be rigidly bonded
together. They may be nonrigidly bonded together. They may only interact through collisions.
They may not interact at all. It’s a general system.
a) Assume the centerofmass version of Newton’s 2nd law holds for each particle and write
it down for particle
i
.
b) Write down the net force on particle
i
as an explicit sum of external and internal forces.
The external forces are due to particles or fields external to the system and the internal
forces are due to other particles in the system.
c) Prove that the sum of all the internal forces for the system is zero.
d) Prove that
vector
F
net
=
summationdisplay
i
m
i
vectora
i
,
where
vector
F
net
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 Fall '06
 Buchler
 Physics, Mass, Momentum, internal forces, external forces, Extra keywords

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