A force of 8N is applied separately on two bodies (m1 and m2) to give acceleration of 8 m/s2 and 24 m/s2. What acceleration will be generated if both these bodies are tied together and given the same force of 8N?
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Answer:
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
Hope this will help u
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