Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 1, Problem 19P
(a)
To determine
The megabytes required to store each song.
(b)
To determine
The number of novels that could be saved on a CD.
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Chapter 1 Solutions
Physics for Scientists and Engineers
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- Check Your Understanding Is the equation v=atdimensionally consistent? One further point thin needs to be mentioned is the effect of the operations of calculus on dimensions. We have seen that dimensions obey the rules of algebra, just like units, but what happens when we take the derivative of one physical quantity with respect to another or integrate a physical quantity over another? The derivative of a function is just the slope of the line tangent to its graph and slopes are ratios, so for physical quantities vand t , we hive that the dimension of the derivative of vwith respect to us just the ratio of the dimension of v over that of t : [dvdt]=[vt] . Similarly, since integrals are just sums of products, the dimension of the integral of vwith respect to t is simply the dimension of vtimes the dimension of t : [vdt]=[v][t] . By the same reasoning, analogous rules hold for the units of physical quantities derived from other quantities by integration or differentiation.arrow_forward(a) Estimate the number of times your heart beats in a month. (b) Estimate the number of human heartbeats in an average lifetime.arrow_forwardTreat a cell in a human as a sphere of radius 1.0 μm.(a) Determine the volume of a cell. (b) Estimate the volumeof your body. (c) Estimate the number of cells in your body.arrow_forward
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