19. To gain speed on their trips out of the Solar System, several probes launched from...
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19. To gain speed on their trips out of the Solar System, several probes launched from Earth have used a "gravity assist" from Jupiter to gain speed. In a "gravity assist", the probe flies close to Jupiter and gains speed by using the acceleration due to Jupiter's gravitational pull. Jupiter's mass is MJ = 1.90107 kg, and its radius is RJ = 7.00107 m. If a probe starts very far away from Jupiter with speed 1.60 km/s and travels to a distance 4RJ from Jupiter's center, what will be its new speed? To simplify the question, you may assume the probe travels along a line running through Jupiter's center. A. 21.5 km/s B. 42.6 km/s C. 64.7 km/s D. 113 km/s 20. Two black holes orbiting each other have masses 8 Mo and 10 Mo, where M. = mass of The Sun. Assuming the black holes are spherical, what is the ratio of their average densities inside their event horizons? Recall the volume of a sphere is given by r. A. 25/16 B. 5/4 C. 125/64 D. 1/1 19. To gain speed on their trips out of the Solar System, several probes launched from Earth have used a "gravity assist" from Jupiter to gain speed. In a "gravity assist", the probe flies close to Jupiter and gains speed by using the acceleration due to Jupiter's gravitational pull. Jupiter's mass is MJ = 1.90107 kg, and its radius is RJ = 7.00107 m. If a probe starts very far away from Jupiter with speed 1.60 km/s and travels to a distance 4RJ from Jupiter's center, what will be its new speed? To simplify the question, you may assume the probe travels along a line running through Jupiter's center. A. 21.5 km/s B. 42.6 km/s C. 64.7 km/s D. 113 km/s 20. Two black holes orbiting each other have masses 8 Mo and 10 Mo, where M. = mass of The Sun. Assuming the black holes are spherical, what is the ratio of their average densities inside their event horizons? Recall the volume of a sphere is given by r. A. 25/16 B. 5/4 C. 125/64 D. 1/1
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