- Given mv = Ft, where m is mass, v is speed, F is force, and t is time, what are the dimensions of each side of the equation? Is the equation dimensionally correct?
- Given H = mCDT, where H is in joules, m in kilograms, and DT in kelvin, what are the SI units and dimensions of C?
- Given P = kADT/l, where A is the area, DT is difference in temperature, l is length, and k is a constant with SI units of watts per (metre·kelvin), what are the SI units for P (rate of thermal energy flow)?
- Given E = a sin (bt), where E is energy, is length and t is time: (a) What are the dimensions and SI units of b?

(b) What are the dimensions and SI units of a?