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 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?

We know,

Force = mass× acceleration


Unit of mass = kg


Unit of acceleration = m/s2


Therefore, unit of force = kg m/s2


1 kg m/s2 = 1 N


Given, F = 5 N, mass = m1


Acceleration, a = 8 m/s2


F = m × a


m1 = kg


Similarly, given F = 5N


Mass = m2


a = 24 m/s2


5 = m2 × 24 m/s2


m2 = kg


If both the masses are tie together,


Total mass = kg


Now, acceleration for mass kg


F = 5 N


F = m × a


a = = 6 m/s2


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