Book Cutnell and johnson physics

Consider the equation v 􏱹 13 zxt 2. 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? Show how you determined your answer.

 

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A partly full paint can has 0.67 U.S. gallons of paint left in it. (a) What is the volume of the paint in cubic meters? (b) If all the remain- ing paint is used to coat a wall evenly (wall area 􏱹 13 m2), how thick is the layer of wet paint? Give your answer in meters.

 

The drawing shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the person’s eyes and the building is 85.0 m. In part a the person is looking at the base of the antenna, and his line of sight makes an angle of 35.0􏱽 with the horizontal. In part b the person is looking at the top of the antenna, and his line of sight makes an angle of 38.0􏱽 with the horizontal. How tall is the antenna?

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