JAMB Physics 2015 Paper

Concept:Work has the dimensional formula $[M L^2 T^{-2}]$.Explanation:Work is defined as force multiplied by displacement.Force itself equals mass multiplied by acceleration.So, Work $= \text{mass} \times \text{acceleration} \times \text{displacement}$.Acceleration has units $\mathrm{m/s^2}$, and displacement has units $\mathrm{m}$.Hence, the unit of work is $\mathrm{kg \cdot m^2 \cdot s^{-2}}$.Dimensionally, $\mathrm{kg}$ corresponds to $M$, $\mathrm{m}$ to $L$, and $\mathrm{s}$ to $T$.Thus, Work $= M^1 L^2 T^{-2}$.Comparing with $M^a L^b T^c$, we get $a = 1$, $b = 2$, and $c = -2$.Answer:$a = 1$, $b = 2$, $c = -2$This corresponds to Option B.