The new earth-Pluto SuperShuttle line boast that it can take you between the two planets (which...

The new earth-Pluto SuperShuttle line boast that it can take you between the two planets (which are about 5.0 hapart in distance) in 2.5 haccording to your watch on board the shuttle. Assume that the shuttle travels at a constant velocity.a.) What time interval must the synchronized space station clocks register between theshuttle’s departure andits arrival at Pluto if the advertisement is true?b.) What is the shuttle’s cruising speed?

Solutions

Expert Solution

we know the equation

we assume that the accleration and deccleration are very brief so that we spend essentially all the trip at constant velocity.

so, for the interval between leaving the earth and encountering Pluto, we have

this is also the event distance proper time measured by a watch at rest is the event distance

thus

= 2.5 h

therefore the time interval betweent the shuttles departure and its its arrival at pluto is

we have now

therefore

v = 0.917 c

genius_generous answered 1 year ago

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