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Chapter 1: 10 (page 28)

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.

Short Answer

Expert verified

(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.

Step by step solution

01

Conversion in ft/s

Part (a)

The conversion in ft/s is shown below,

60mph=60mih×5280ft1mile×1h3600s60mph=88ft/s

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

02

Conversion in m/s2

Part (b)

The conversion in m/s2 is shown below,

32ft/s2=60fth×30.48cm1ft×1m100cm32ft/s2=18.3m/s2

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

03

Conversion in m/s2

Part (c)

The conversion in kg/m3 is shown below,

1g/cm3=1gcm3×100cm1m3×1kg1000g1g/cm3=1000kg/m3

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

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