What is the momentum of a 2000-pound car traveling at 30 miles per hour? Give the answer in metric units (change pounds to kilograms; miles per hour to meters per second).
To find the momentum of the car, we need to convert the given values to metric units and then apply the formula for momentum.
The mass of the car can be converted from pounds to kilograms. Since 1 pound is approximately equal to 0.4536 kilograms, we can multiply 2000 pounds by 0.4536 to get the mass in kilograms:
2000 pounds * 0.4536 kilograms/pound = 907.2 kilograms
Next, we convert the speed from miles per hour to meters per second. 1 mile is equal to 1609.34 meters, and 1 hour is equal to 3600 seconds. Therefore, we can convert 30 miles per hour to meters per second by multiplying by the conversion factor:
30 miles/hour * 1609.34 meters/mile * 1 hour/3600 seconds = 13.4111 meters/second
Finally, we can use the formula for momentum:
Momentum = mass * velocity
Plugging in the values we have:
Momentum = 907.2 kilograms * 13.4111 meters/second = 12,156.2248 kg·m/s
Rounded to the nearest whole number, the momentum of the 2000-pound car traveling at 30 miles per hour is approximately 12,156 kg·m/s.
To find the momentum of the car, we need to calculate its mass and velocity, and then multiply them together.
First, let's convert the weight of the car from pounds to kilograms. We can use the conversion factor of 1 pound = 0.453592 kilograms.
Mass of the car = 2000 pounds × 0.453592 kilograms/pound = 907.18 kilograms (rounded to two decimal places)
Next, let's convert the velocity from miles per hour to meters per second. We can use the conversion factor of 1 mile = 1609.34 meters, and 1 hour = 3600 seconds.
Velocity of the car = 30 miles/hour × 1609.34 meters/mile ÷ 3600 seconds/hour = 13.41 meters/second (rounded to two decimal places)
Finally, multiply the mass and velocity to find the momentum:
Momentum = Mass × Velocity
Momentum = 907.18 kilograms × 13.41 meters/second = 12166.04 kilogram-meters/second
Therefore, the momentum of the 2000-pound car traveling at 30 miles per hour is approximately 12166.04 kilogram-meters/second.