14. [-/10 Points] DETAILS SERPSE10 13.6.P.023. MY NOTES ASK YOUR TEACHER Ganymede is the largest of Jupiter's moons. Consider a rocket on the surface of Ganymede, at the point farthest from the planet (see figure below). Model the rocket as a particle. Ganymede Jupiter (a) Does the presence of Ganymede make Jupiter exert a larger, smaller, or same size force on the rocket compared with the force it would exert if Ganymede were not interposed? O larger O smaller O the same size (b) Determine the escape speed for the rocket from the planet-satellite system. The radius of Ganymede is 2.64 x 10 m, and its mass is 1.495 x 1025 kg. The distance between Jupiter and Ganymede is 1.071 x 10" m, and the mass of Jupiter is 1.90 x 1027 kg. Ignore the motion of Jupiter and Ganymede as they revolve about their center of mass. km/s Need Help? Read It 15. [-/10 Points] DETAILS SERPSE10 13.6.OP.028. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A projectile is launched directly upward from the surface of the Earth with an initial speed of 7.2 km/s. Assuming air resistance is negligible, what is the maximum height of the projectile (in m)? m Need Help? Read it 16. [-/10 Points] DETAILS SERPSE10 13.A.OP.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Engineers are working on a design for a cylindrical space habitation with a diameter of 5.80 km and length of 37.0 km. The habitation will simulate gravity by rotating along its axis. With what speed (in rad/s) should the habitation rotate so that the acceleration on its inner curved walls equals 6 times Earth's gravity? rad/s Need Help? Read It 17. [-/10 Points] DETAILS SERPSE10 13.A.P.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Assume you are agile enough to run across a horizontal surface at 8.00 m/s, independently of the value of the gravitational field. Assume your mass to be 90 kg. (a) What would be the radius of an airless spherical asteroid of uniform density 1.80 x 10kg/m on which you could launch yourself into orbit by running? m (b) What would be the mass of this asteroid? kg (c) What would be your period? (d) Would your running significantly affect the rotation of the asteroid? O yes O no Explain your answer.13. [410 Points] DETAILS SERPSET9 13.P.065. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set off. walking always straight ahead, and find yourself returning to your spacecraft from the opposite side after completlng a lap of 24.6 km. You hold a hammer and a falcon feather at a height of 1.32 m, release them, and observe that they fall together to the surface in 29.7 5. Determine the mass of the planet. [ W! kg