Question

The Moon is about 2.26 × 105 miles from Earth. What is this distance in standard form?
Group of answer choices

22,600 miles

226,000 miles

2,260,000 miles

22,600,000 miles

Answer 1

Answer:

So let's apply our necessary conversion ratios to cancel out all the distance units via dimensional analysis to allow us to compute the required time in seconds:

(2.4 x 105 mi.)(1 km. / 0.625 mi.) = 3.84 x 105 km.

(3.84 x 105 km.)(1.0 x 103 m. / 1 km.) = 3.84 x 108 m.

(3.84 x 108 m.)(1 sec. / 3.0 x 108 m.) = 1.28 sec.

In the above three calculations, we went from miles to km. and then to meters, so that we could use the given speed of light measured in m./sec. to give us our final answer of 1.28 seconds (the time required for light to travel 2.4 x 105 miles).

Thanks for submitting this problem and glad to have been of help.