Answer:
speed v = 7.47 10³ m /s
Explanation:
The space shuttle has a circular orbit around the earth so it is subject to centripetal acceleration
a = v² / R
Where the distance R is measured from the center of the earth
R = y + Re
R = 710 +6370
R = 7080 km (1000m / 1km)
R = 7.080 106 m
We write Newton's second law
F = m a
G m1M / R2 = m1 v² / R
G M / R = v²
v = √(GM / R)
v = √ (6.6 10⁻¹¹ 5.98 10²⁴/ 7.08 10⁶
v = √ (5.575 10⁷)
v = 0.747 10⁴ m / s
v = 7.47 10³ m /s
