Question

# A force of 5 N produces an acceleration of 8 ms−2 on a mass m1 and an acceleration of 24 ms−2 on a mass m2 . What acceleration (in ms−2) would the same force provide if both the masses are tied together?

A
4
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B
5
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C
6
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D
7
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Solution

## The correct option is C 6From Newton's second law of motion, the applied force is directly proportional to the acceleration produced or F=maThe unit of force is newton in SI denoted by the symbol N.Forces acting on a mass m1 with acceleration a1 and mass m2 with acceleration a2 are as given below.m1=Fa1=58kg.m2=Fa2=524kg.M=(58+524)kg=(56)kgAcceleration produced in M (when the two masses are tied together),a=FM=556=6 ms−2

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