19. Derive the unit of force using the second law of motion. A force of 5N produces an acceleration of 8 m s-2 on a mass m, and an acceleration of
24 m s-2 on a mass m,. What acceleration would the same force provide if both the masses are tied together?
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Explanation:
From Newton's second law of motion, the applied force is directly proportional to the acceleration produced or F=ma
The unit of force is newton in SI denoted by the symbol N.
Forces acting on a mass m
1
with acceleration a
1
and mass m
2
with acceleration a
2
are as given below.
m
1
=
a
1
F
=
8
5
kg.
m
2
=
a
2
F
=
24
5
kg.
M=(
8
5
+
24
5
)kg=(
6
5
)kg
Acceleration produced in M (when the two masses are tied together),
a=
M
F
=
6
5
5
=6 ms
−2
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