If the mathematical operation of division is performed on two numbers, the numerator having the units Joule-seconds (J-s) and the denominator having the units kilogram meter per second (kg m/s). Given a Joule by definition is a kg m2/s2, what units would the final answer have

Result = m

Explanation:

Numerator = J. s

Denominator = kg. m/s

1 joule of energy is equal to 1 N. m

1 N. m force is equal to 1 kg. m/s²

so 1 joule is equal to 1 kg. m²/s²

Numerator = J. s = (kg. m²/s²). s = kg. m²/s

Denominator = kg. m/s

Result = Numerator/Denominator

Result = (kg. m²/s) / (kg. m/s) = (m²/s) / m/s = m²/m = m

Result = m

The final answer would have units of meters.

Explanation:

The unit at the numerator is J. s = kgm^2/s^2 * s = kgm^2/s

The unit at the denominator is kgm/s

Unit of final answer = unit at numerator : unit at denominator = kgm^2/s : kgm/s = kgm^2/s * s/kgm = m (meters)