In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT-1, [a] = LT-2, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [s] represents the dimensions of the quantity s.) Part (a) What is the simplest expression involving only a and s that has the same dimensions as v2? expression = ______ Part (b) What is the simplest expression involving only v and t that has the same dimensions as a?
Problem 13: In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT-1, [a] = LT-2, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [s] represents the dimensions of the quantity s.)
Part (a) What is the simplest expression involving only a and s that has the same dimensions as v2?
expression = ______
Part (b) What is the simplest expression involving only v and t that has the same dimensions as a?
expression = ______
Part (c) What is the simplest expression involving only v and t that has the same dimensions as s?
expression = ______
Part (d) What is the simplest expression involving only a and t that has the same dimensions as s?
expression = ______
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