Show that the external force acting on a system of n particles will be equal to the vector sum
of the forces acting on the individual particles of the same system.
Answers
Answer:
We know that Newton's second law is valid in an inertial frame and the law states that,
Linear momentum remains constant if net external force on the system of particles is zero.
F
resultant
=
dt
dP
Hence, since F
resultant
=0, we can say that momentum of system will not change with time.
Explanation:
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Explanation:
Acceleration of centre of mass
a
cm
=
M
F
ext
If no external force acts on the a system of particles i.e.
F
ext
=0
⟹
a
cm
=0
The acceleration of centre of mass is zero and so it will continue to move with its initial velocity.
Thus Assertion is incorrect.
rate of change of linear momentum of the system
dt
d
P
=
F
ext
∴
dt
d
P
=0 (∵
F
ext
=0)
⟹
P
= constant
Thus if no external force acts on the system, then linear momentum of the system is conserved.
So, Reason is incorrect.