Question

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?

Answer 1

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