Questions: (express all numerical answers in scientific notation Comparing each

Question

Questions: (express all numerical answers in scientific notation Comparing each of the four type of estimation: length, time, and mass which one seems the easiest? Which one turned out to be most accurate? Explain a- b- The average distance between carth and its moon in orbit is 384 400 km, and the speed of light is 300 000 km/s. 1- What is the distance between earth and moon in meters, cm, mile and ft? 2- If you shine a powerful beam of laser light directed at the moon, how long it takes the light to hit the moon? 3- It takes the light emitted by the sun about 8.3 minutes to reach earth. How far is the sun from earth in km? in mile? 4- A light year (L.Y) is a unit used in astronomy to measure distance between stars and galaxies. A light year is defined as the distance covered by light in 1 year. Find the equivalent distance of a LY in km and mile.

Explanation / Answer

(a)The question looks incomplete.

(b)d = 384,400 km

1)1km = 1000 m ; 1 km = 100,000 cm ;

1 km = 0.621 mi ; 1km = 3280.84 ft

d = 3.844 x 10^8 m ;

d = 3.844 x 10^10 cm

d = 2.389 x 10^5 mi

d = 1.261 x 10^9 ft

2)We know that, v = d/t

t = d/v = 3.844 x 10^8/3 x 10^8 = 1.281 s

Hence, t = 1.281 s

3)t = 8.3 m = 498 s

We know, v = c = 3 x 10^8 m/s

D = vt = 3 x 10^8 x 498 = 1.494 x 10^11 m

Hence, D = 1.494 x 10^11 m

4)t = 1 yr = 3.154 x 10^7 s

LY = 3.154 x 10^7 x 3 x 10^8 = 9.46 x 10^15 m

but, 1km = 1000 m

1LY = 9.46 x 10^12 km

1 km = 0.621 mi

1LY = 5.88 x 10^12 mi

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