Question

Which two quantities are measured in the same units? (5 points)

Answer 1

C. Impulse and Momentum

Answer 2

Answer: Option (c) is the correct answer.

Explanation:

Impulse is the product of force applied on a body and the time period during which force has been exerted.

SI unit of impulse is newton second.

Whereas momentum is the product of mass and velocity of an object. Its SI unit is kg m/s.

Now, the units of both impulse and momentum are dimensionally equivalent to each other as follows.

      Impulse unit                  =              Momentum unit

    Newton second              =           $\frac{kg \times m}{s}$

Newton equals $kg m/s^{2}$.

$\frac{kg \times m}{s \times s} \times s$             =                     $\frac{kg \times m}{s}$

Cancelling out s from numerator and denominator of impulse unit. Therefore, we get the following.

  $\frac{kg \times m}{s}$                  =                   $\frac{kg \times m}{s}$

Thus, we can conclude that impulse and momentum are the two quantities which are measured in the same units.