Suppose an applied force varies with time t as given by the following equation: F = at- - tn -3 ... where a and are constants. (a) [2] What is the dimension of the constant a? You may express your answer in the format [a] = [L]a [M]b [7] or the simplified form [a] = L MbTC, where L, M and T represent length, mass and time, respectively. Determine the numerical values of a, b and c. (b) [2] Given that [B] = MLT-1, what is the value of the exponent n in the above equation?