Force has dimensions of mass times acceleration. Acceleration has dimensions of

Question

Force has dimensions of mass times acceleration. Acceleration has dimensions of speed divided by time. Pressure is defined as force divided by area. What are the dimensions of pressure? Express in terms of the SI base units kilogram, meter, and second. (Use the following as necessary: kg, m, and s.) Some good estimates about the human body can be made if it is assumed that we are made mostly of water. The mass of a water molecule is 2.99 x 10'26 kg. If the mass of a person is 57 kg, estimate the number of water molecules in that person. A megabyte (MB) is a unit of computer memory storage. A CD has a storage capacity of 700 MB and can store approximately 70 min of high-quality music, (a) If a typical song is 5.6 min long, how many megabytes are required for each song? If a page of printed text takes approximately 5.4 kilobytes, estimate the number of novels that could be saved on a CD. (Assume a novel is 184 pages.)

Explanation / Answer

P = F / A

and Force = N = kg m /s^2

and A = m^2

P = ( kg m /s^2) / (m^2) = kg / m s^2 Or kg m^-1 s^-2

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n x 2.99 x 10^-26 = 57

n = 57 / (2.99 x 10^-26) = 1.91 x 10^27

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for 70min = 700MB

so 1 min = 700/70 MB = 10 MB

a) for 5.6 min = 5.6 x 10 = 56 MB

b) size of 1 novel = 5.4kb x 184 = 993.6 kb = 993.6 x 10^-3 MB

no. of novel = 700 / (993.6 x 10^-3) = 704.51 novels

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