An astronaut wants to take a trip to a planet that is 10 light-years away from Earth, in the frame of the Earth. (Assume the distance between Earth and the Planet is constant.) a. How fast must the astronaut travel (at constant speed) to arrive at the planet 15 years older? (Express the answer as a fraction of the speed of light.) b. If Earth tells the astronaut just before they leave to send a return radio signal back to Earth, how long should Earth expect to wait for the signal.
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- 1. Voyager rocket is traveling between Earth and Jupiter (distance 8.013x1010 m). If Voyager probe was thousand times faster and had a speed of v=17x106 m/s=0.057c calculate the Earth-Jupiter distance that instruments aboard measure. a. What is the time of Voyager's trip measured by instruments onboard? Write your answer in seconds rounded to a whole number (for example 1234 s). _______________ b. What is the time of the trip measured by NASA on Earth? 2. An asteroid is traveling from asteroid belt to Earth with a speed of 0.6 c. To save the Earth, group of brave men set an explosive device to explode in 138 minutes. When will the group of scientists that monitor asteroid on Earth see the explosion (if everything goes rightThe dimensionless parameter γ is used frequently in relativity. As γ becomes larger and larger than 1, it means relativistic effects are becoming more and more important. A. What is γ if v = 0.28c? B. What is γ if v = 0.53c?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…
- 2Please help with number 21. A rocket flies toward the earth at c, and the captain shines a laser light beam in the forward direction. Which of the follow- ing statements about the speed of this light are correct? (There may be more than one correct answer.) A. The captain measures speed c for the light. B. An observer on earth measures speed e for the light. C. An observer on earth measures speed c for the light. D. The captain measures speed c for the light.
- Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 107 light-years from Earth. If the lifetime of a human is taken to be 85.0 years, a spaceship would need to achieve some minimum speed Umin to deliver a living human being to this galaxy. How close to the speed of light would this minimum speed be? Express your answer as the difference between Umin and the speed of light c. C- Umin = m/sA star that is 225 light-years away from Earth is at rest relative to Earth. You set out fromEarth on a journey to the star at a constant speed of 0.93?.i) How long does it take you to travel from Earth to the star, according to anobserver on Earth?ii) According to you, how long does it take for you to travel from Earth to the star?iii) According to you, what is the distance from Earth to the star?Why do we not observe relativistic effects in our daily lives? O Because motion is relative. O Because you can't go back in time. Because the math is too hard. O We do observe relativistic effects in our daily lives. This is why time sometimes appears to pass more quickly than usual. O Because relativity only effects particles such as electrons & protons. O Because the speeds we move at are much less than the speed of light.
- Interactive 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.)Rocket A passes Earth at a speed of 0.79c. At the same time, rocket B passes Earth moving 0.94c relative to Earth in the same direction. Part A How fast is B moving relative to A when it passes A? Express your answer using two significant figures. ΑΣφ ? v = Submit Request AnswerA particle has a rest mass of 6.35 × 10¯ kg and a momentum of 5.39 × 10-¹8 kg.m/s. Determine the total relativistic energy E of the particle. 1.67 ×10-⁹ E = Incorrect Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest. K 1.93 Erest || Incorrect