acceleration equal to force by mass and acceleration equal to velocity by time but in the above problem why second option is correct first option is wrong
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force is a derived quantity. It doesn't have an independent meaning of its own. N is the same as kgms⁻². So thus before deriving the SI unit, you should break all the complex units into smaller units, and kgms⁻²÷kg will give you the second option. So although Nkg⁻¹ is the same as ms⁻², you have to use the one with basic units in it.
Basic units are units like m, kg, s, etc.
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