What is the circular velocity of an object orbiting Earth at a distance of 100,000 km from Earth's center? Hint: $v _ { c } = \sqrt { \frac { G M } { r } }$ ; G = 6.67 × 10 -11 m 3 /s 2 /kg; M E = 5.97 × 10 24 kg.
A) 0.2 m/s
B) 2 m/s
C) 20 m/s
D) 200 m/s
E) 2,000 m/s

Question

What is the circular velocity of an object orbiting Earth at a distance of 100,000 km from Earth's center? Hint: $v _ { c } = \sqrt { \frac { G M } { r } }$ ; G = 6.67 × 10 -11 m 3 /s 2 /kg;  M E  = 5.97 × 10 24  kg.
A) 0.2 m/s
B) 2 m/s
C) 20 m/s
D) 200 m/s
E) 2,000 m/s

Quizplus · Accepted Answer

The circular velocity $v_c$ is calculated using the formula $v_c = \sqrt{\frac{GM}{r}}$. Substituting the given values: $G = 6.67 \times 10^{-11} \, \text{m}^3/\text{kg}\cdot\text{s}^2$, $M = 5.97 \times 10^{24} \, \text{kg}$, and $r = 100,000 \, \text{km} = 100,000,000 \, \text{m}$, we find $v_c \approx 2,000 \, \text{m/s}$.

What Is the Circular Velocity of an Object Orbiting Earth vc=GMrv _ { c } = \sqrt { \frac { G M } { r } }vc​=rGM​​

What Is the Circular Velocity of an Object Orbiting Earth $v _ { c } = \sqrt { \frac { G M } { r } }$