Final answer:
The height of a 6.0 ft person is 1.829 meters, their weight of 168 lb is equivalent to 76.2 kilograms, a 55 miles per hour speed limit is 88.5137 kilometers per hour, and the speed of light translates to approximately 671,080,000 miles per hour.
Step-by-step explanation:
Conversions play an important role in physics when dealing with various units of measurement. Let's perform the conversions as per the student's request:
- To convert the height of a 6.0-ft person to meters, we use the conversion factor 1 m = 3.28 ft. So, Height in meters = 6.0 ft × (1 m / 3.28 ft) = 1.829 meters.
- To convert the weight of 168 lb to kilograms, given 1 lb = 453.6 g, first convert pounds to grams, and then grams to kilograms. Weight in kilograms = 168 lb × (453.6 g / 1 lb) × (1 kg / 1000 g) = 76.2 kilograms.
- The speed limit of 55 miles per hour can be converted to kilometers per hour using the conversion factor 1 mile = 1.60934 kilometers. Speed in kilometers per hour = 55 mi/h × (1.60934 km / 1 mi) = 88.5137 km/h.
- The speed of light, 3.0 × 10^10 cm/s, needs to be converted into miles per hour. To do this, we convert cm to kilometers, then seconds to hours, and finally kilometers to miles. Distance in miles = (3.0 × 10^10 cm/s) × (1 m / 100 cm) × (1 km / 1000 m) × (3600 s / 1 h) × (1 mi / 1.60934 km) = 671,080,000 miles/h.