Find the speed of a moving clock if a clock at rest is three times faster than it.
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Find the speed of a moving clock if a clock at rest is three times faster than it.
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- 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…Suppose a spacecraft of mass 17,000 kg is accelerated to 0.18c. How much kinetic energy would it have?A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the speed of light). Assume the following: the Sun and the planet are mutually at rest and their clocks have been synchronized such that both read zero when the spaceship leaves. Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?
- A spacecraft travels at 1.5 X 108 m/s relative to Earth. A process onboard the ship as measured by a stationary clock on Earth takes 85 min. How long would the same process take as measured by a clock onboard the ship?A spaceship that has a rest length of 200 m passes by earth at a speed in which only (1/4) x 10-6 s is required for it to pass by a given point as measured by clocks on earth. How fast is it moving and at what length (according to observers on earth)?