Derive the unit of force using the second law of motion . A force of 5N produces an acceleration of 8m/sec ² on a mass m1 and an acceleration of 24 m/sec ² on mass m2 . what acceleration would the same force provide if both the masses are tied together?
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Answer:
According to the newton's second law
F=m a=(kg)(ms
−2
)=kgms
−2
It is also called practical unit of force
This absolute unit of force is called newtons. Its symbol is N.
m
1
=
a
1
F
=
8
5
kg
m
2
=
a
2
F
=
24
5
kg
If masses are tied together, then
M=m
1
+m
2
M=(
8
5
+
24
5
)kg=(
6
5
)kg
Acceleration produced in M.
a=
M
F
=
5/6
5
=6 ms
−2
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