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Byju's Answer
Standard XII
Physics
Velocity of COM
Derive Newton...
Question
Derive Newton's third law of motion from law of conservation of momentum.
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Solution
Consider
an
isolated
system
in
which
two
bodies
A
and
B
collide
.
Let
F
1
→
be
the
force
exerted
by
the
body
A
on
B
for
time
∆
t
.
Let
F
→
2
be
the
force
exerted
by
body
B
on
A
for
time
∆
t
.
Now
,
change
in
linear
momentum
=
Force
×
time
Change
in
linear
momentum
of
B
=
F
1
→
×
∆
t
Change
in
linear
momentum
of
A
=
F
2
→
×
∆
t
Total
change
in
linear
momentum
of
A
and
B
=
F
→
1
×
∆
t
+
F
2
→
×
∆
t
As
no
external
force
acting
on
the
system
,
therefore
according
to
newton
'
s
second
law
of
motion
,
the
total
change
in
linear
momentum
of
the
system
is
zero
.
F
1
→
∆
t
+
F
→
2
∆
t
=
0
⇒
F
1
→
∆
t
=
-
F
2
→
∆
t
⇒
F
1
→
=
-
F
2
→
Suggest Corrections
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