Proxima Centauri, the closest star to us besides our own Sun,is 4.1 X 10 13 km f
ID: 1759322 • Letter: P
Question
Proxima Centauri, the closest star to us besides our own Sun,is 4.1 X 1013 km from Earth. From Zorg, a planetorbiting this star, a Gregor places an order at Tony's Pizza inHoboken, New Jersey, communicating by light signals. Tony's fastestdelivery craft travels at 1.00 X 10-4c. (c is theletter that represents the speed of light which has thevalue of 3.0 X 108 m/s) a) How longdoes it take Gregor's order to reach Tony'sPizza? b) How long does Gregor wait betweensending the signal and recieving the pizza? How should I deal with the value of "c" in this problem? Ishould convert the m/s to km somewhere in the problem right? I haveattempted to solve part 'a' by converting the 3.0 X 108m/s to km/sec, then divided the 4.1 X 1013 by thatnumber. However, I was left with seconds!! Whats wrong?In part 'b,' I understand I must calculate how long it willtake the craft to travel to Zorg and add that to my answer in part'a,' right? ...Please help. Thanks. Proxima Centauri, the closest star to us besides our own Sun,is 4.1 X 1013 km from Earth. From Zorg, a planetorbiting this star, a Gregor places an order at Tony's Pizza inHoboken, New Jersey, communicating by light signals. Tony's fastestdelivery craft travels at 1.00 X 10-4c. (c is theletter that represents the speed of light which has thevalue of 3.0 X 108 m/s) a) How longdoes it take Gregor's order to reach Tony'sPizza? b) How long does Gregor wait betweensending the signal and recieving the pizza? How should I deal with the value of "c" in this problem? Ishould convert the m/s to km somewhere in the problem right? I haveattempted to solve part 'a' by converting the 3.0 X 108m/s to km/sec, then divided the 4.1 X 1013 by thatnumber. However, I was left with seconds!! Whats wrong?In part 'b,' I understand I must calculate how long it willtake the craft to travel to Zorg and add that to my answer in part'a,' right? ...Please help. Thanks.Explanation / Answer
here we must remember that in free spacelight travels in straight line at constant speed c (a) using the definition of average speed wesolve for the time required to travel the distance to proximacenturai t = distance travelled / speed oflight = 4.1 x 1016 m / 3 x108 m / s = ...... s = ...... yr (b) travelling at 10-4 c, thedelivary time (ttotal) will be the sum of the timefor the to reach hoboken and the time for the pizza to be delivered to proxima centurai ttotal = torder to be sentto hoboken + torder to be delivered =......... yRelated Questions
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