the total area of the speed of the alveoli in the human lung is about 7.0x 10^5cm^2 .what is the area in square meters? (2) the radius of earth I'll 6.4x10^ 3 km.fine the the surface area of the earth in
square meters.
(3) a BMW convertible travels on the German autobahn at a speed of 128 km/h .what is the speed of the car in meters per second?
7 * 10^5 cm^2 * 10^-2 m/cm * 10^-2 m/cm = 7 * 10^1 m^2 = 70 m^2
r = 6.4 * 10^3 km * 10^3 m/km = 6.4*10^6 meters
area of sphere = 4 pi r^2 = 4 * 3.14 * 6.4^2 * 10^12
= 514.5 *10^12 m^2
= 5.15 * 10^14 m^2
128 km/h * 1000 m / km * 1 hour/3600 seconds = (128/3.6) meters/second
To convert cm^2 to square meters, you can use the following conversion factor:
1 cm^2 = 0.0001 m^2
(1) To find the area in square meters, multiply the given area in cm^2 by the conversion factor:
Area in square meters = 7.0 x 10^5 cm^2 * 0.0001 m^2/cm^2
= 7.0 x 10^5 * 0.0001 m^2
= 70 m^2
Therefore, the area in square meters is 70 m^2.
(2) To find the surface area of the Earth in square meters, you need to convert the given radius from km to meters.
1 km = 1000 m
So, the radius of the Earth in meters is:
Radius in meters = 6.4 x 10^3 km * 1000 m/km
= 6.4 x 10^6 m
The surface area of a sphere can be calculated using the formula:
Surface area = 4πr^2
where r is the radius of the sphere.
Surface area of Earth = 4π(6.4 x 10^6 m)^2
= 4 x 3.1415 x (6.4 x 10^6 m)^2
≈ 5.12 x 10^14 m^2
Therefore, the surface area of the Earth is approximately 5.12 x 10^14 square meters.
(3) To convert the speed of the car from km/h to meters per second, you can use the following conversion factor:
1 km/h = 1000 m/3600 s
So, the speed of the car in meters per second is:
Speed in meters per second = 128 km/h * 1000 m/3600 s
≈ 35.556 m/s
Therefore, the speed of the BMW convertible on the German autobahn is approximately 35.556 meters per second.