Question: Assume that an object covers an area A
Assume that an object covers an area A and has a uniform height h. If its cross-sectional area is uniform over its height, then its volume is given by V = Ah. (a) Show that V = Ah is dimensionally correct. (b) Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case. (Note that A, sometimes called the “footprint” of the object, can have any shape and the height can be replaced by average thickness in general.)
Answer to relevant QuestionsA child loves to watch as you fill a transparent plastic bottle with shampoo. Every horizontal cross-section is a circle, but the diameters of the circles have different values, so that the bottle is much wider in some ...The position of a pine wood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) The first second, (b) The last 3 s, and (c) The entire ...(a) Use the data in Problem 1 to construct a smooth graph of position versus time. (b) By constructing tangents to the x (t) curve, find the instantaneous velocity of the car at several instants. (c) Plot the ...A particle moves along the x axis according to the equation x = 2.00 + 3.00t - 1.00t 2, where x is in meters and t is in seconds. At t = 3.00 s, find (a) The position of the particle, (b) Its velocity, and (c) Its ...Figure P2.24 represents part of the performance data of a car owned by a proud physics student. (a) Calculate from the graph the total distance traveled. (b) What distance does the car travel between the times t = 10 s ...
Post your question