The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give the uncertainty in each value. (a) the area of the circle 430 m² +601.77 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m² (b) the circumference of the circle 73.5 m± 4.4 m Need Help? Read It

Determine the density, and the uncertainty in the density, of a rectangular prism made of wood. The dimensions of the prism (length L, width W, height H) and mass M were measured to be: L W = H M = (89+1) mm (56±1) mm (151 ± 1) mm (741 ± 5) g To determine the uncertainty of the density, follow the procedure explained in the lab manual in the section devoted to uncertainties. Which term makes the largest contribu- tion to the total uncertainty? Hence, if one wants to improve the overall precision of the measurement of the density, for which measurement would it be best to try to reduce the uncertainty?

The radius of an atom of gold (Au) is about 1.35 Å. How many gold atoms would have to be lined up to span 4.0 mm? Express your answer using two significant figures.

Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T. Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L, T, and exponents. Assume that each of the following equations is dimensionally consistent. Lo = mur [Lo] = W = mar [W] = T