The first two questions are related to lecture material dealing with the time an

Question

The first two questions are related to lecture material dealing with the time and space aspects of the Universe -from every-day notions of distances (D), speeds and time to cosmic expansion. (1) Driving Around The Solar System. (50 points,10 points for a, b, c, dand e). Driving in Boston is always illegal at 100 kilometers/hour (-62 miles/hour). But suppose you could drive at that speed unaffected by gravity or by a cosmic police force. (a) How long would it take you to drive around the Earth's equator (yeah, there's water, but make believe it's all land)? (b) How about from the Earth to the Sun? (c) And from the Sun to Pluto? (d) Finally, from our Solar System to the closest star (Proxima Centauri)? (e) Do any of these travel times exceed the age of the Earth? Express you answer in a percent of the age of the Earth

Explanation / Answer

speed= distance/time

time = distance /speed

a) distance of equator= 40075 kms

time = 40075/100

= approx 400 hours.

b) distance from earth to sun = 149600000 kilometers

time= 149600000 /100

= 1496000 hours

c) distance from sun to pluto= 39.5 AU

= 5.9091e+9 km

Time= 5.9091e+9/100

= 59091000 hours

d) distance of our solar system to proxima centauri= 4.243 light years

=4.01419e+13 km

Time= 4.01419e+13/100

=401419000000 hours

e) age of earth= 4.5 billion years old

converting it to hours = 4.5 *365 *24

= 39420 billion hours.

so none of the above travel times exceed the age of the earth.

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