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The Venus-Sun distance is 108 million kilometers, and the Earth-Sun distance is 150 million kilometers. Suppose...

The Venus-Sun distance is 108 million kilometers, and the Earth-Sun distance is 150 million kilometers. Suppose an imaginary line from Venus to the Sun forms a right angle with an imaginary line from Earth to the Sun. How long would it take light to travel from the Sun to a spaceship halfway along the straight-line path between Venus and Earth? The time is in minutes.

Solutions

Expert Solution

Given,

Distance between sun and venus, OA = 108 milion km

Distance between sun and earth, OB = 150 million km

Since both are at right angle

Hence, distance between earth and venus, AB =

                                                                         =

                                                                         = =

                                                                         = 184.84 million km

Now,

Straight line joining the middle point of hypotenuse of the right angled triangle to the right angle is half the hypotenuse.

Thus,

OD = AB/2 = 184.84/2

     = 92.42 milliom km = 92.42 * 109 m

Speed of light, c = 3 * 108 m/s

Time taken by light to reach point D from sun, t = OD/c

                                                                               = 92.42 * 109 / 3 * 108

                                                                               = 308.066 sec

                                                                               = 5.134 min

or time taken is 5.134 minutes

genius_generous answered 8 months ago
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