Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows: [position] = [Xᵅ]; [speed] = [Xᵝ]; [acceleration] = [Xᵖ]; [linear momentum] = [Xᑫ]; [force] = [Xʳ]. Then