All motion in this problem is in one dimension. A Z-ship is approaching Earth from the north at 0.68 c. It emits a radio signal at 9.1 MHz. A Q- ship is moving away from earth's south pole at 0.68 c. At what frequency does the Q-ship receive the Z-ship's signal? Answer in MHz.
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- If a m = 90.7 kg person were traveling at v = 0.875c, where c is the speed of light, what would be the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy? kinetic energy ratio: What is the ratio of the person's relativistic momentum to the person's classical momentum? momentum ratio:Two spaceships A and B are exploring a new planet. Relative to this planet, spaceship A has a speed of 0.60c, and spaceship B has a speed of 0.78c. What is the ratio DA/DB of the values for the planet's diameter that each spaceship measures in a direction that is parallel to its motion? Number UnitsA rocket with a proper length of 1500 m moves at a speed of 0.87c directly away from an observer on earth. an astronaut standing at the centre of the rocket fires two electrons at a speed 0.99c through a vacuum pipe. One electron is aimed toward the centre of the rocket, the other toward the rear. a. In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b. In the Earth observer's frame, calculate the length of the rocket, and the speed of the two electrons moving towards the front and the rear of the rocket.
- In 2010, a 20-year-old astronaut leaves her twin on earth and goes on a rocket to explore the galaxy. The rocket moves at 2.9 x 108 m/s during the voyage. It returns to earth in the year 2040. a. Using relativity, calculate the age of the returning astronaut. b. Find the length of the rocket in the earth’s frame of reference when it is moving, given that the rest length is 120 m. Assume you are a stationary observer viewing the rocket from the side.A star is 12.2 ly (light-years) from Earth. HINT (a) At what constant speed (in m/s) must a spacecraft travel on its journey to the star so that the Earth–star distance measured by an astronaut onboard the spacecraft is 4.36 ly? m/s (b) What is the journey's travel time in years as measured by a person on Earth? NO SCIENTIFIC NOTATION ANSWERS THANK YOUA spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the clock on the ship advances by 1.00 s as measured by the space travelers aboard the ship, how long did that advance take as measured by the observer on Earth? O 1.15 s O 1.25 s O 3.6 s O 2.6 s O 0.96 s
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