David Sang and Graham Jones Solutions for Chapter: Dynamics: Explaining Motion, Exercise 9: Questions

Determine the base units of:

 Pressure $\left(=\frac{\text{ force }}{\text{ area }}\right)$

Determine the base units of:

Energy $\left(=\text{Force}\times \text{Distance}\right)$

Determine the base units of:

Density $\left(=\frac{\text{ mass }}{\text{ volume }}\right)$

Use base units to prove that the following equations are homogeneous.

Pressure $=$ density $\times$ acceleration due to gravity $\times$ depth

Use base units to prove that the following equations are homogeneous.

Distance travelled $=$ initial speed $\times$ time $+\frac{1}{2}$ acceleration $\times {\text{times}}^2\left(s=ut+\frac{1}{2}a{t}^2\right)$.