Consider the equation v= The dimensions of the variables v, x, and t are [L]/[T], [L], and [T], respectively. The numerical factor 3 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions? O 1/[T] [L]/[T] O 1/[T]3

In the calculation of the perimeter of a square measuring:5.0 cm ± .05 cm by 5.0 cm ± .05 cm,What is the ± error on the calculation of the perimeter of the square?

A sphere of radius r has surface area  A = 4πr2  and volume  V = 4/3πr3.  The radius of sphere 2 is triple the radius of sphere 1. What is the ratio of the areas, A2/A1?

A) A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid is given by the expression: V=1/3Bh, where B is the area of the base and h is the height. Find the volume of the pyramid in cubic meters. (1 acre = 43,560ft^2). B) What If? If the height of the pyramid were increased to 525 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?

A rectangular block of wood is measured to have the dimensions 11.2 cm, 3.4 cm and 4.10 cm. Compute the volume of the block using the rules of significant figures. O 1.645 x 10² cm² a) b) 16 x 10² m² c) 1.6 x 10² cm² d) 1.60x 10² cm² Question 8 (Mandatory) (10 points) Saved 0:21

A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.

How many significant figures are there in (a) 0.0210, (b) 5.060, (c) 7.10 * 10-4,(d) 1.0 * 105?

A rectangle has a length of (2.8 ± 0.2) m and a width of (1.7 ± 0.2) m. Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value. (a) Calculate the area and give its uncertainty. (Enter your answers in m2.)   m2 ±  m2 (b) Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.)   m ±  m

U.S. football field is 120 yards long (including the end zones). How long is the field in the following units of measurement? (a) meters (b) millimeters mm (c) feet ft (d) inches in

Consider the physical quantities m, s, v, a, t, and r with dimensions [m] = M, [s] = L, [v] = LT–1, [a] = LT–2, [t] = T, and [r] = L. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a) F = ma; (b) K = 0.5mv2; (c) p = mv; (d) W = mas; (e) L = mvr.