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Suppose you are in a rocket with no windows, traveling in deep space far from other objects. Without looking outside the rocket or making any contact with the outside world, explain how you could determine whether the rocket is (a) moving forward at a constant 80% of the
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- The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.arrow_forwardThe radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun. (b) Is the ratio an upper limit estimate or a lower limit estimate?arrow_forward8. solve the IVP differential equation for v then do b if you can/wantarrow_forward
- 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 completing a lap of 25.1 km (assume this to be the maximum circumference). You hold a hammer and a falcon feather at a height of 1.36 m, release them, and observe that they fall together to the surface in 29.1 s. Determine the mass of the planet. ______ kgarrow_forwardIn which one of the following situations is the observer in an inertial reference frame? a)An astronaut is conducting microgravity experiments aboard the International Space Station. b)A woman is walking at a constant speed down a flight of stairs. c)A NASCAR racer follows the curve at the end of an oval track while moving at constant speed. d)An astronaut is in a rocket that is beginning lift off from the launchpaarrow_forwardThree little ducks @ 4 4 crossing a highway at 0.5 mph. The third duckling sees a car coming at 20 mph, but the others are already in the middle of the road. You are the second duckling. What will happen to you and why??arrow_forward
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