Physics
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While exploring the mysterious Planet Zoraxia, you throw a ball vertically upwards with a velocity of 14 m/s and catch it after 3.2 seconds. Meanwhile, your spaceship is maintaining a stable orbit around the planet at an altitude equal to Planet Zoraxia's radius, taking 245 minutes for a full revolution. Determine (i) the mass and (ii) the radius of the enigmatic Planet Zoraxia.
A planet is located at a distance of 30000 light-years from the center of the Milky Way galaxy. Research has confirmed that the planet has a velocity of 190 km/s when moving about the center of the Milky Way. Determine the number of orbits completed by the planet if it came into existence 6 billion years ago. One light year equals the distance light covers in one year at a speed of 3.0 × 108 m/s.