Math, asked by ntvespkr10, 3 months ago

NASA is sending a probe to Alpha Centauri and then to Sirius. A problem with the probe is noticed while it is at Alpha Centauri, so it must go back to Erth before going to Sirius. Alpha Centauri is 4.3 light-years away from Earth and Sirius is 8.6 light-years away. The probe is traveling at 18.03 km/s, there are 1.58125 x 10-5 light-years in one astronomical unit. How long will the probe have been traveling from when it first leaves Earth to when it arrives at Sirius?

Answers

Answered by amitnrw
0

Given :  NASA is sending a probe to Alpha Centauri and then to Sirius. A problem with the probe is noticed while it is at Alpha Centauri, so it must go back to Erth before going to Sirius. Alpha Centauri is 4.3 light-years away from Earth and Sirius is 8.6 light-years away. The probe is traveling at 18.03 km/s,  

To Find  :  How long will the probe have been traveling from when it first leaves Earth to when it arrives at Sirius?

Solution:

Earth to Alpha Centauri  = 4.3 light-years

Alpha Centauri   to Earth = 4.3  light-years

Earth to Sirius  = 8.6 light-years

Total Distance covered = 4.3 + 4.3 + 8.6 = 17.2 light years

1 light year  = 9.461 x 10¹²  km

Total Distance =  17.2 x 9.461 x 10¹²

= 162.7292 x 10¹² km

Speed = 18.03 km/s,

=> Time  = distance / Speed

=> Time =  162.7292 x 10¹²  / 18.03  Sec

= 9.025   x 10¹²  secs

= 9.025   x 10¹²  / 3600  hrs

= 2.507 x 10⁹  hrs

= 2.507 x 10⁹  / (365 x 24 ) years

= 2.8618 x 10⁵  years

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