Two rockets leave from a planet, each traveling at significant fractions of the speed of light a) Draw this situation b) Choose the speeds of the two rockets as seen from the planet. Write these speeds in terms of c (the speed of light). c) If one hour passes on the planet, determine how long passes on each rocket d) Calculate the velocities of the rockets relative to each other

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- Long Trips at Constant Acceleration: Spaceship Time. Con- sider again the spaceship from Problem 55 on a long trip with a constant acceleration of 1g. As long as the ship is gone from Earth for many years, the amount of time that passes on the spaceship during the trip turns out to be approximately 20 g × D tship In where D is the distance to the destination and In stands for the natural logarithm (which you can calculate with the "In" key on most scientific calculators). If D is in meters, g = 9.8 m/s², and c = 3 × 10° m/s, the answer will be in units of seconds. Use the formula to determine how much time will pass on the ship during its trip to a star that is 500 light- years away. Compare this to the amount of time that will pass on Earth. (Hint: Be sure you convert the distance from light- years to meters and your answer from seconds to years.)

The great astronomer Edwin Hubble discovered that all distant galaxies are receding from our Milky Way Galaxy with velocities proportional to their distances. It appears to an observer on the Earth that we are at the center of an expanding universe. The figure illustrates this for five galaxies lying along a straight line, with the Milky Way Galaxy at the center.  B) Using the data from the figure, calculate the velocity of galaxy 3 relative to galaxy 2 in km/s.   C) Using the data from the figure, calculate the velocity of galaxy 4 relative to galaxy 2 in km/s.   D) Using the data from the figure, calculate the velocity of galaxy 5 relative to galaxy 2 in km/s.   E) Using the data from the figure, calculate the velocity of galaxy 1 relative to galaxy 5 in km/s.   F) Using the data from the figure, calculate the velocity of galaxy 2 relative to galaxy 5 in km/s.   G) Using the data from the figure, calculate the velocity of galaxy 3 relative to galaxy 5 in km/s.   H) Using the data…

The motion of a cart can be represented by x(t)=(-2.5m/s)t-10.0m. At what time does this cart cross the origin? a)it crosses the origin t=4s after we start observing it b)It crosses the origin t=0s after we start observing it c)If it were moving the same way before we started observing it then it crossed the origin 4 seconds before we started counting.

Y=1/2gt^2 is similar to equation Y= at^2 + bt + c X is time a = 1/2g b=0 c=0 Solve for g Can you show me step by step how g= 2xa Please write bigger the last question i couldn't decipher all of the writing - thank you so much I don't understand how g=2xa

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Current Attempt in Progress Review Conceptual Example 3 for information pertinent to this problem. When we look at a particular star, we are seeing it as it was 103 years ago. How far away from us (in meters) is the star? Take a year to be 365.25 days. Number i Units

Binary Star SystemAstronomers discover a binary star system with a period of 90 days, separated by a distanced. Both stars have a mass M that is twice that of the Sun.Problem 3.3. How far apart are the two stars

Challenges to Space Exploration a) We can round numbers to say light (and all electromagnetic radiation: radio waves, infrared, ultraviolet, etc.) travels at approximately 3x108 m/s. At its closest approach, Mars is about 0.5 au of the Earth. At this distance, how long would it take for an astronaut on Mars to communicate with Mission Control on Earth? Give your answer in minutes. Explain why Mars rovers have entire sequences for travel pre-programmed and uploaded all at once rather than being driven around in real time with a joystick. For the Earth-Moon distance in 5b, you can use 384,400 km b) The boosters that launched Apollo 11 allowed the astronauts to reach a speed of 25,000 miles per hour. At that speed, about how long did it take for the astronauts to reach the Moon? At that speed, how long would it take to reach Mars, assuming the closest approach distance given above? Give your answers in days.