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Time Dilation Time Dilation is a relativistic effect where time measured in two reference frames with relative motion is different, even when the clocks in both reference frames are initially synchronized. Clocks are synchronized when the same time is measured when their inertial reference frames are at rest relative to one another (meaning there is no relative velocity). When t0, the clocks in the two reference frames are synchronized at the origin. The Proper Time (To) is the time difference measured between two events occurring at the same position in a system by a clock at rest in an inertial reference frame. Consider again the two reference frames O and O in Figure ??. The time difference T measured in O of two events occurring in O with a proper time of To is: To To Equation ?? is the Time Dilation effect, an increase by a factor of y in the measured time difference between events in inertial refer- ence frames with relative motion. This means that the time measured in moving reference frames is greater, or that the clocks run slow. Part D: A manned spacecraft is going to travel to the closest star, Proxima Centauri, located 4ly away. The spacecraft can enough food, water, and oxygen for 16 years. The plan is to travel to Proxima Centauri and return to Earth. You can neglect with the total trip time. (Put a carry acceleration time, turning around time, and time spent at the star as they are all negligible box around all of your final answers.) a) What will be the total distance travelled during the voyage in Ip| (2.5 pts)
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2x 4x 345 X C. x 24 x 3600 16 Space Ship come louckateanh in16 y 七C2 ど2

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