Calculate Earth’s gravitational force on the Shuttle astronauts while orbiting at an altitude of 220 miles (or 354 km) above Earth’s surface.
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NO
To calculate the Earth's gravitational force on the Shuttle astronauts while orbiting at an altitude of 220 miles (or 354 km) above Earth's surface, we can use Newton's law of universal gravitation.
The formula for gravitational force is given by:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant which is approximately 6.674 × 10^-11 N(m/kg)^2
m1 and m2 are the masses of the two objects (in this case, Earth and the Shuttle)
r is the distance between the two objects (in this case, the sum of the radius of Earth and the altitude of the Shuttle)
First, we need to convert the altitude from miles to meters. We can use the conversion factor: 1 mile = 1609.34 meters.
Altitude in meters = 220 miles * 1609.34 m/mile
Next, we need to find the radius of the Earth. The average radius of the Earth is approximately 6,371 kilometers (or 6,371,000 meters).
Now, we can calculate the distance between the Earth's surface and the Shuttle:
r = radius of Earth + altitude
Finally, we can substitute the values into the gravitational force formula to calculate the resultant force.
It's important to note that the mass of the Shuttle is required to get the exact value.