Question

Convert the following quantities to the indicated units using the unit analysis bridge utility.

a) 1000 mm to meters
b) 5 hours to seconds
c) 500 grams to kilograms
d) 2.5 kilometers to centimeters

Answer 1

To convert units, we multiply by the appropriate conversion factor; 1000 mm becomes 1 m, 5 hours is 18,000 seconds, 500 g is 0.5 kg, and 2.5 km is 250,000 cm using unit analysis.

Step-by-step explanation:

We will convert the following quantities to the indicated units using unit analysis:

1. 1000 millimeters (mm) to meters (m)
2. 5 hours to seconds
3. 500 grams (g) to kilograms (kg)
4. 2.5 kilometers (km) to centimeters (cm)

Here are the conversions:

• 1000 mm to meters: We know that 1 meter is equal to 1000 millimeters. Therefore, 1000 mm × (1 m / 1000 mm) = 1 meter.
• 5 hours to seconds: There are 60 minutes in an hour and 60 seconds in a minute. Hence, 5 hours × (60 minutes / 1 hour) × (60 seconds / 1 minute) = 18,000 seconds.
• 500 grams to kilograms: Since 1 kilogram is 1000 grams, 500 grams × (1 kg / 1000 g) = 0.5 kilograms.
• 2.5 kilometers to centimeters: There are 1000 meters in a kilometer and 100 cm in a meter. So, 2.5 km × (1000 m / 1 km) × (100 cm / 1 m) = 250,000 centimeters.