The following conversions occur frequently in physics and are veryuseful. (a) Us

Question

The following conversions occur frequently in physics and are veryuseful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s toconvert 60 mph to units of ft/s.

(b) The acceleration of a freely falling object is 32ft/s2. Use 1 ft = 30.48 cm to express this accelerationin m/s2.

(c) The density of water is 1 g/cm3. Convert thisdensity to units of kg/m3. A certain fuel-efficient hybrid car getsgasoline mileage of 51.0 mpg (milesper gallon).
(a) If you are driving this car in Europe andwant to compare its mileage with that of other European cars,express this mileage in km/L (L = liter).


(b) If this car's gas tank holds 44 L,how many tanks of gas will you use to drive 1490 km?
(a) Use 1 mi = 5280 ft and 1 h = 3600 s toconvert 60 mph to units of ft/s.

(b) The acceleration of a freely falling object is 32ft/s2. Use 1 ft = 30.48 cm to express this accelerationin m/s2.

(c) The density of water is 1 g/cm3. Convert thisdensity to units of kg/m3. A certain fuel-efficient hybrid car getsgasoline mileage of 51.0 mpg (milesper gallon).
(a) If you are driving this car in Europe andwant to compare its mileage with that of other European cars,express this mileage in km/L (L = liter).


(b) If this car's gas tank holds 44 L,how many tanks of gas will you use to drive 1490 km? (a) If you are driving this car in Europe andwant to compare its mileage with that of other European cars,express this mileage in km/L (L = liter).


(b) If this car's gas tank holds 44 L,how many tanks of gas will you use to drive 1490 km?

Explanation / Answer

a) 60 mi/h= 60 x 5280 / 3600=  88ft/s b) 32 ft/s2 = 32 /0.3048 = 105   m/s2 c) 1 g/cm3 = 1 x(1/1000) / ( 1 (100 3) ) = 1000kg/m3 ______________ 1 miles = 1.61 kilometers 1 US gallon = 3.78 liters 1 US gallon = 3.78 liters - a) 51.0 mi/gal = 51.0 x 1.61 / 3.78=   21.7 km/l b) D= volume x rate = 44x  21.7 = 955 km

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