2. Preparations are under way for a spacecraft visit to the Alpha Centauri star system, 4.30- lightyears away Provisions are placed on board to allow for a trip of 8 years. a. What minimum speed must the spacecraft travel relative to Earth if the provisions are to last?
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- 4. A rod at rest has a length of 100 m. How fast must the rod be moving to fit inside a 10 m barn? Leave the velocity in terms of c. 100 m 10m1. An astronaut travels to a distant star with a speed of 0.46c relative to Earth. From the astronaut's point of view, the star is 4.40 ly from Earth. On the return trip, the astronaut travels with a speed of 0.90c relative to Earth. What is the distance covered on the return trip, as measured by the astronaut? Give your answer in ly f60 ss 0 ssf60* f60 ss 0 ssf6 ssf60 ssf6Q11. A star is 40.0 light-years from Earth (1 light-year is the distance that light travels in 1 year). (a) How far would you measure this distance to be if you traveled it in a spaceship moving at 1.00 x 108 m/s? (b) How long would the trip last (for you)?
- 1. Consider inertial reference frame S to be the lab frame. A proton is moving in the positive x (+x) direction at a kinetic energy of 1250 MeV, as measured in frame S. Inertial reference frame S' moves at a speed of 0.55c in the positive-x (+x) direction relative to frame S. a) Find the speed of the proton in terms of the speed of light, c, as measured in frame S. b) Find the magnitude and direction of the speed of the proton as measured in frame S'.1. If the velocity of your spaceship goes from 0.3c to 0.6c, then your mass will increase bya. 19%b. 38%c. 74%d. 100%e. 200%00 How long does it take (in seconds) for light to travel from the Sun to Saturn if the Sun is roughly 1.5 10^9 km away and the speed of light is 3*10^8 m/s? (Only write the number; your answer is assumed to be calculated in seconds) hp & #3 2$ backs 4 5 7 9. e r y d f h j k
- 1. A supertrain of proper length 195 m travels at a speed of 0.92c as it passes through a tunnel having proper length 90.0 m. How much longer is the tunnel than the train or vice versa as seen by an observer at rest with respect to the tunnel? metersYou are the pilot of a spacecraft intended for travel at very high speeds. Before leaving you measure the spacecraft to be 31.4 m long and have a mass of 5.28 x 104 kg. During your travel, you pass a planet and exchange information with an observer on the planet. You are told that your spacecraft has been measured to be 28.6 m long. a. How fast is your spacecraft travelling with respect to the planet? b. You are told there is a nearby planet that is stationary with respect to the first planet. The observer on the first planet says it will take you 25 s to reach the nearby planet. How far away does your co-pilot on the spacecraft say the nearby planet is? c. How much energy was required to accelerate your spacecraft to this speed?What is proper time? A. The time calculated for the person moving at relativistic speed. B. The longest possible time interval between two events. C. The time measured by the clock that travels with the observer. D. The time measured by a light clock.
- multiple choice question As the velocity of an inertial frame of reference increases with respect to a stationary observer, Einstein's theory of special relativity predicts that the length of an object, measured in the dimension parallel to the motion of the reference frame, will A decrease. B. remain unchanged. Jump to 1 2 3 4 5 6 7 8 9 10 increase. D. increase at first but start to decrease when the speed of the reference frame equals half the speed of light. E. decrease at first but start to increase when the speed of the reference frame equals half the speed of light.6. You are a space traveller, moving at 0.60c with respect to Earth, on your way to a star that is stationary relative to Earth. You measure the length of your trajectory to be 8.0 light-years (y). Your friend makes the same journey at 0.80c with respect to Earth. What does your friend measure the length of the trajectory to be? 7. A spacecraft travels along a space station platform at 0.65c relative to the platform. An astronaut on the spacecraft determines the platform to be 3.00 X 102 m long. What is the length of the platform as measured by an observer on the platform?8. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is their relativistic momentum? (The rest mass of a proton is 1.67 x 10-27 kg.) kg.m/s 16