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Derive the unit of force using the second law of motion. A force of 5 N produces an acceleration of 8 m s–2 on a mass m1 and an acceleration of 24 m s–2 on a mass m2. What acceleration would the same force provide if both the masses are tied together?

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F = m a = kg m s–2 

This unit is also called newton. Its symbol is N. 

m1 =  F /a1 = 5/ 8 kg, 

m2 =  F/ a2 = 5 /24 kg, 

M = 5/ 8+ 5/ 24  kg = 5/ 6 kg 

Acceleration produced in M, 

a = F/ M = 5/ (5/ 6)  = 6 m s–2

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