Question

The gravitational acceleration is 9.81 m/s2 here on Earth at sea level. What is the gravitational acceleration at a height of 350 km above the surface of the Earth, where the International Space Station (ISS) flies? (The mass of the Earth is 5.97×1024 kg, and the radius of the Earth is 6370 km.) It is somewhat greater than 9.81 m/s2. It is zero, since the ISS is in the state of weightlessness. It is half of 9.81 m/s2. It is somewhat less than 9.81 m/s2. It is twice of 9.81 m/s2. It is 9.81 m/s2, the same.

Answer 1

g = 8.82 m/s/s

It is somewhat less than 9.81 m/s2.

Step-by-step explanation:

As we know that the formula to find the gravitational acceleration is given as

`g = (GM)/(r^2)`

here we know that

r = distance from center of earth

here we have

`r = R + h`

`r = (6370 + 350) km = 6720 km`

now we have

`g = ((6.67 * 10^(-11))(5.97 * 10^(24)))/((6720 * 10^3)^2)`

`g = 8.82 m/s^2`