Homework 1 1. Just as a light-year is the distance that light can travel in 1 ye
ID: 286250 • Letter: H
Question
Homework 1 1. Just as a light-year is the distance that light can travel in 1 year, we define a light second as the distance that light can traveli second, a light-minute as the distanoe that light can travel in 1 minute, and so on. Calculate the distance in kilometers represented by each of the following: a) 1 light-second b) 1 light-minute c 1 light-hour d) 1 light-day . Suppose you wanted to reach Alpha Cetaui (4.4 light-years away) in 100 years. a) How fast would you have to go, in km/h? b) How many times faster is the speed you found than the speed of our fastest current spacecraft (around 50,000 km/h)?Explanation / Answer
1 a) 1 LY = 9.4607 × 1012 km
1 Year = 365x24x60x60 seconds = 31536000 seconds
31536000 seconds = 9.4607 × 1012 km
1 second =9.4607 × 1012 /31536000 = 299,996.829 km
1 Light Second = 299,996.829 km
1 Year = 365x24x60 mins = 525600 mins
1 Light min = 9.4607 × 1012 /525600 = 17,999,809.74 km
1 Year = 365x24 hrs = 8760 hrs
1 Light hr = 9.4607 × 1012 /8760 = 1,079,988,584 km
1 Year = 365 days
1 Light day = 9.4607 × 1012 /365 = 2.591972603 x 1010 km
Que 2: a) Speed = Dist/Time
S= 4.4 x 9.4607 × 1012 km/ 100x365x24 hours= 47519497.72 km/hr
b) Let's assume it is a times faster:
50000a = 47519497.72 = 950.38
The speed is 950.38 times faster.
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