Question

a joule is equal to
a kg x m^2/s^2
b kg x m^2/m^3
c kg x m/s^2
d m/s^2

Explanation:

Step1: Recall work - energy formula

Work $W = F\times d$, where force $F = m\times a$ (Newton's second law $F = ma$, with mass $m$ in kg and acceleration $a$ in m/s²), and distance $d$ in m.

Step2: Substitute force into work formula

$W=(m\times a)\times d$. Substituting the units: mass $m$ (kg), acceleration $a$ (m/s²) and distance $d$ (m). So $W$ (in joules) has units $kg\times m/s^{2}\times m=kg\times m^{2}/s^{2}$.

Answer:

A. kg x m²/s²