Earth has a mass of 5.97 x 10*kg, and a mean radius of 6.38 x 108m. what would be the orbital speed and period of a satellite in
orbit 1.44 x 109 m above earth?

Explanation:

Centripetal acceleration = acceleration due to gravity

v² / r = GM / r²

Solving for velocity:

v = √(GM / r)

Given:

G = 6.67×10⁻¹¹ m³/kg/s²

M = 5.97×10²⁴ kg

r = 6.38×10⁸ m + 1.44×10⁹ m = 2.078×10⁹ m

v = √(6.67×10⁻¹¹ × 5.97×10²⁴ / 2.078×10⁹)

v = 438 m/s

Period is the time to travel one circumference:

T = 2πr / v

T = 2π (2.078×10⁹) / 438

T = 2.98×10⁷ s

T = 8290 hr

T = 345 days

where are the vectors ?

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.