5% Problem 3: Answer the following questions using the following table of base quantities, derived quantities, and units. Use dimensional analysis to guide your thinking.
Part a: Using dimensional analysis, determine the units of the quantity Δt. Select the best answer.
Part b: Which of the following will be a distance? Select all that apply.
Part c: Are the units of the formula v² = 2ar dimensionally consistent? Select the single answer. Yes, both v² and 2ar have units of m²/s².
Part d: Are the units of the formula ma = mv²/2 dimensionally consistent? Select the best answer. No, ma has units of kg·m/s² and 1/2mv² has units of kg·m²/s².
Part e: Which of the following will have units of kg·m²/s²? Select all that apply. mar, mv, 1/2mv².
Part f: Given the formula p = mv, what are the units of p?
Part g: Given the formula F = ma, what are the units of F?
Part h: Given the formula E = 1/2mv², what are the units of E?