n Corse PHm11-108694%: ( x ka The Expert TA 1 Human-lin Gr (10%) Problem 4: Whil

Question

n Corse PHm11-108694%: ( x ka The Expert TA 1 Human-lin Gr (10%) Problem 4: While passing between Earth and the Moon, a spacecraft is momentarily located on the line connecting the centers of the two bodies and is at a distance of d 183 km from a radio antenna on the surface of Earth. The distance from the antenna to the moon is denoted by dm Moon Ctheexpertta.co 33% Part (a) Recan that the speed of light is 30x10s ms. How long, in seconds, does it take for a signal from the spacecraft toimve a t antenna on Earth? Grade Summary Deductions1 0.000000611 Amompts remaining per attemp cotanO asin acos0 atan) acotan)sin0 cosbO tanbO cotanhO O Degrees Radians VO BACKSPACE Hints 3 for a3% deduction Hints remining O Feedback: 1% deduction per lulok Radio signals travel at the speed of ligh Use the kincmatic equacion for constane-velocity motion that gives the distance in terms of the speed and the elapsod time, and solve for dhe clapsed MacBook Air

Explanation / Answer

a)

c = 3 x 10^8 m/s

d = 183 km = 183 x 10^3 m

T = distance / velocity

T = (183 x 10^-3 m) / (3 x 10^8 m/s)

T = 6.1 x 10^-4 sec

b)

Now, total distance travelled is 2d = 2 x 183 km = 366 x 10^3 m

so, time taken = 2 x 6.1 x 10^-4 s = 1.22 x 10^-3 sec

c)

c = 3 x 10^8 m/s

distance = 2do =?

t = 2.42 sec

2do = 3 x 10^8 x 2.42 sec

do = 3.63 x 10^8 m

do = 3.63 x 10^5 m

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