Astronomers discover a planet orbiting around a star similar to our sun that is 20 lightyears away. How fast must a rocket ship go if the round trip is to take no longer than 40 years in time for the astronauts aboard?
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- A navigational beacon in deep space broadcasts at a radio frequency of 47 MHz. A spaceship approaches the beacon with a relative velocity of 0.31c. What is the frequency in Megahertz of the beacon radio signal that is detected on the ship?Setup: A futuristic race from Earth to Alpha Centauri is taking place. But the winner of the race isn't who gets there first, it's who measures the smallest proper time along the way. The competitors start on Earth, from position (t, x) = (0, 0). They must travel from Earth (considered stationary) to Alpha Centauri, a distance of L = 4.37 light years away, such that they arrive at Alpha Centauri at Earth time of T = 10 years. Upon arrival, they compare their personal times (the proper time they measure along their whole trip) and the team with the smallest proper time wins. Question: a) Team A's spaceship immediately blasts off at (t, x) = (0, 0) and travels at a constant speed until they reach Alpha Centauri at Earth time of 10 years. Team B, on the other hand, have a much faster ship— they can travel so fast, you may consider their maximum speed to be the speed of light. Team B stays stationary on Earth for as long as they can; then, they blast off and travel at constant maximum…Calculate the necessary speed required for an astronaut to age only 10 years during a round trip of 200 light-year journey.
- The Millennium Falcon is approximately 35.2 m long. There are conflicting reports, but the Falcon made the Kessel Run in approximately 12.27 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult or dangerous points to jump between to make the trip so short. Let's imagine that the Millennium Falcon travels at 0.96c during the 12.27 parsec Kessel Run. What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year. X light-year What distance, in light-year, does Han Solo measure for the trip as he pilots the ship? light-year Which person measures the proper distance of the trip? Which person would measure the proper length of the Millennium Falcon?Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 years, while an astronaut on the space ship says that the trip took 6.27 years. Find the speed of the spaceship (as measured by someone in Earth's rest frame) in terms of the speed of light. 0.959c 0.687c 0.489c 0.684c 0.779cThe star Epsilon Eridani is 10.4 light-years from Earth. Imagine a spaceship that travels from Earth to Epsilon Eridani at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be (10.4ly/0.921c)= 11.2 years. (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by a passenger aboard the ship? years (b) What is the distance to the star (in light years) as measured by a passenger aboard the ship?
- Michale is decided to buy a ticket to go to space. After meticulously planning his journey, he travels in his vessel at speed 7/10c from Earth to the nearby planet, Alfa-0 , 20 light-years away (as measured in the common rest frame of Earth and Alfa-0). He spends a year (as measured in Earth- Alfa-0 frame) on this foreign planet sharing stories of human history to aliens. Finally, he is ready to head home. His hosts, charmed by his friendliness and the stories of his wonderful home, give him their best space ship for the return voyage. In this new ship, he travels at speed 95/100 c. Let W be Michael's departure from Earth (which we can set as the origin of the reference frame), X his arrival to the Alfa-0, Y his departure from the Alfa-0, and Z his arrival back to Earth. a. Draw the spacetime diagram from the rest frame of the Earth - Alfa-0 system, indicating Michale's worldline, and the events, W, X, Y, Z. (A rough sketch will suffice - do not worry about the angles. b. Find the…A spaceship moves by Earth at 2.8×108 m/s. A satellite moves by Earth in the opposite direction at 1.3×108 m/s. Use the Galilean transformation to calculate the speed vsatellite,x of the satellite relative to the spaceship. vsatellite,x = ? m/sSuppose you decide to travel to a star 85 light-years away at a speed that tells you the distance is only 25 light-years. How much is that speed?
- The speed of light is about 3 x 108 meters per second. The Millennium Falcon is traveling from Earth to Mars at the speed of light. The distance between the Earth and Mars fluctuates between 5.46 x 10¹0 meters and 4,01 x 10¹¹ meters. If the day the Millennium Falcon makes the "Mars Run," the distance is 2.25 x 10¹¹ meters, how long will it take them? Note: distance = rate time, and time = distance/rate Express your answer in scientific notation. Use for the multiplication. seconds Convert your answer to minutes. Include at least 3 decimal places in your answer, which can be expressed in standard notation. minutes Suppose the Millennium Falcon flies for 5 hours at the speed of light. How far will they travel? Express your answer in scientific notation. metersInteractive LearningWare 28.10 reviews the concepts that play roles in this problem. The distance from earth to the center of our galaxy is about 30,000 ly (1 ly = 1 light year = 9.47 × 1015 m), as measured by an earth-based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 × 107 s.)A rocket is travelling from earth through space at a speed of 2.7x10^8m/s. The pilot measures the journey to take 240 minutes. How long does mission control on Earth think the flight lasted for?