Final answer:
The mass of the car is 1500 kg, which converts to 1,500,000 g. Its weight is 14,715 N (Newtons) when calculated using the standard acceleration due to gravity. In U.S. customary units, the car's mass is equivalent to 3,306.93 lbs.
Step-by-step explanation:
A car has a mass of 1500 kg, and we want to express this mass in both metric (gram) and U.S. customary units (pounds).
To convert the mass from kilograms to grams (kg to g), we multiply by the conversion factor of 1000 g/kg:
- 1500 kg × 1000 g/kg = 1,500,000 g
Now, to express the weight of the car, which is the force due to gravity, we use the formula:
Weight = mass × gravity
The standard acceleration due to gravity is roughly 9.81 m/s². Multiplying the mass by gravity gives us:
- 1500 kg × 9.81 m/s² = 14,715 N (Newtons)
To convert weight to U.S. customary units (pounds), we'll use the conversion factor where 1 kilogram equals approximately 2.20462 pounds. We only need to convert the mass as weight already accounts for gravity. Therefore:
- 1500 kg × 2.20462 lbs/kg = 3,306.93 lbs