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Found in: Page 28

University Physics with Modern Physics

Book edition 14th edition
Author(s) Hugh D. Young, Roger A. Freedman
Pages 1596 pages
ISBN 9780321973610

The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2. Use 1 ft = 30.48 cm to express this acceleration in units of m/s2. (c) The density of water is 1.0 g/cm3. Convert this density to units of kg/m3.

(a) The velocity in ft/s is 88 ft/s.

(b) The acceleration in m/s2 is 18.3 m/s2.

(c) The density in kg/m3 is 1000 kg/m3.

See the step by step solution

Conversion in ft/s

Part (a)

The conversion in ft/s is shown below,

$60mph=60\frac{mi}{h}×\frac{5280ft}{1mile}×\frac{1h}{3600s}\phantom{\rule{0ex}{0ex}}60mph=88ft/s$

Thus, the value in ft/s is 88 ft/s.

Conversion in m/s2

Part (b)

The conversion in m/s2 is shown below,

$32ft/{s}^{2}=60\frac{ft}{h}×\frac{30.48cm}{1ft}×\frac{1m}{100cm}\phantom{\rule{0ex}{0ex}}32ft/{s}^{2}=18.3m/{s}^{2}$

Thus, the value in m/s2 is 18.3 m/s2

Conversion in m/s2

Part (c)

The conversion in kg/m3 is shown below,

$1g/c{m}^{3}=1\frac{g}{c{m}^{3}}×{\left(\frac{100cm}{1m}\right)}^{3}×\frac{1kg}{1000g}\phantom{\rule{0ex}{0ex}}1g/c{m}^{3}=1000kg/{m}^{3}$

Thus, the value of density in kg/m3 is 1000 kg/m3.