Exercise 1According to Bob, an observer on Earth, a rocket carrying Martha from Earth directly tothe planet Zorg travels at a speed of 0.80 c and takes 30 years to reach Zorg. Zorg is atrest relative to the Earth.a) What is the distance between Earth and Zorg, according to Bob? Express this distancein light-years.b) How long does Martha, the observer on the rocket, think the trip takes?c) What is the distance between Earth and Zorg, according to Martha? Express thisdistance in light-years.d) Although Bob and Martha disagree about distances and times, they do agree on thevalue of what is called the space-time interval between the events of Martha passingEarth and Martha reaching Zorg. In fact, every observer agrees on the value of thisinterval, defined as:(cAt)² – (Ax)²(e) A third observer, Ralph, thinks that the two events of Martha passing Earth andMartha reaching Zorg occur 25 years apart. In Ralph's reference frame, what is thespatial distance Ar between these two events? Ralph's relative velocity relative to Earthdoes not change.

Given: A rocket carrying Martha travels at the speed v = 0.8 c The time is taken by the Martha to…

Answered: According to Bob, an observer on Earth,…

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