The proper length of a space vehicle is lo. According to an observer on earth, the length of the spaceship is 25% of its proper length. The speed of the spaceship of the spaceship according to the observer on earth is---
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- 3 J = (the rest energy is 3 c2 A spacecraft moves at a speed of ().8c relative to Earth, and shots a bullet with rest mass of M Joules), and its velocity relative to Earth is in the same direction as the spacecraft. The kinetic energy of the bullet relative to Earth is 5 J. What is the total energy (in Joule) of the bullet relative to the spacecraft?1 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?An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 74.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 19.4 years as measured in a rest frame. Note that radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (Ignore the delay between the time the battery fails and the time mission control stops receiving the signal.) yr (b) How far is the probe from Earth when its batteries fail as measured by mission control? (Ignore the delay between the time the battery fails and the time mission control stops receiving the signal.) ly (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? ly (d) For what total time…
- A cylindrical spaceship of length 35.0 m and diameter 8.35 m is traveling in the direction of its cylindrical axis (length). It passes by the Earth at a relative speed of 2.44××1088 m/s. a) What is the length of the ship, as measured by an Earth observer? b) What is the diameter of the ship, as measured by an Earth observer? c) How long does it take the spaceship to travel a distance of 10.0 km according to the ship's pilot? d) How long does it take the spaceship to travel a distance of 10.0 km according to an Earth-based observer?1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?a) Find the value of y for the following situation. An astronaut measures the length of his spaceship to be 100 m, while an earthbound observer measures it to be 25 m. b) What is the speed of the spaceship relative to Earth?
- If ever the human race would need to leave Earth, the Trappist-1 system might make a good destination – the star there has seven temperate terrestrial planets, a few of which are close to Earth’s size and mass. It’s 39.6 light years away, though, so it could take a long time to get there. (a) If the spaceship had a speed of 0.95c, how long would the journey take from the Earth’s reference frame? (b) How long would the journey be for the passengers on the spaceship?A proton and anti-proton with rest energy of, E0 - 931 MEV/C“ was traveling in opposite direction at a speed of, V = 0.9995*C (where C is a speed of light equal to 3.0 * 108 m/s). After travelling in a vacuum chamber, the two particles collide head on to produce a new massive particle in the center of the chamber What is the new kinetic energy the proton and anti-proton in Giga electron Volt, after reaching the new speed? OKA spaceship has a length of 20 meters at rest and accelerates to high speed. A person at rest on the ground observes that the spaceship has 12 meters. How fast (in x 108m/s) is the spaceship?
- 1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front 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: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocketWhat is the discrepancy (according to an observer on the surface of the Earth), due to the general relativistic (i.e. gravity-based) time dilation, between the clock on a particular communications satellite and a clock on the surface of the Earth after 1 day. Ignore the sign of the discrepancy. Orbital Radius of satellite = 4.0 x 10 m 6.37 x 106 m %3D Radius of the Earth = Mass of Earth = 5.97 x 1024 kg Gravitational Constant = 6.67 x 10-11m3 kg-1 s-2 Speed of light =3 x 108 m/s %3DA certain spacecraft measures 60 m in length when it is at rest. The spacecraft then travels at 75% of the speed of light. Determine the length of the spacecraft (a) according to a passenger onboard the ship. (b) according to an Earthbound observer. Explain your answers