If a satellite with a mass of 500 kg is in an orbit 5 times the radius of earth,what is the centripetal force it experiences?Earths radius=6.37*10^6 satellites velocity=3,542.4 m/s
+26367 If a satellite with a mass of 500 kg is in an orbit 5 times the radius of earth,what is the centripetal force it experiences?Earths radius=6.37*10^6 satellites velocity=3,542.4 m/s
\(\text{Centripetal force } = \text{ mass } \times \frac{ \text{ velocity}^2 } { \text{radius} } \)
\(\begin{array}{rcl} \text{Radius }\ r &=& 5\cdot 6370000\ m = 31850000\ m \\ \text{Mass }\ m &=& 500\ kg \\ \text{Velocity }\ v &=& 3542.4\ \frac{m}{s} \\ \text{Centripetal force } &=& m\cdot \frac{v^2}{r} \\ &=& 500\ kg \cdot \frac{(3542.4\ \frac{m}{s})^2}{31850000\ m} \\ &=& 500\cdot 0.39399051052\ kg \frac{m}{s^2} \\ &=& 196.995255259 \ kg \frac{m}{s^2} \\ &=& 196.995255259 \ N \\ \end{array}\)
+26367 If a satellite with a mass of 500 kg is in an orbit 5 times the radius of earth,what is the centripetal force it experiences?Earths radius=6.37*10^6 satellites velocity=3,542.4 m/s
\(\text{Centripetal force } = \text{ mass } \times \frac{ \text{ velocity}^2 } { \text{radius} } \)
\(\begin{array}{rcl} \text{Radius }\ r &=& 5\cdot 6370000\ m = 31850000\ m \\ \text{Mass }\ m &=& 500\ kg \\ \text{Velocity }\ v &=& 3542.4\ \frac{m}{s} \\ \text{Centripetal force } &=& m\cdot \frac{v^2}{r} \\ &=& 500\ kg \cdot \frac{(3542.4\ \frac{m}{s})^2}{31850000\ m} \\ &=& 500\cdot 0.39399051052\ kg \frac{m}{s^2} \\ &=& 196.995255259 \ kg \frac{m}{s^2} \\ &=& 196.995255259 \ N \\ \end{array}\)
