Respuesta :
Answer:
The time delay in a conversation with someone at Neptune when the planets are at their closest is 240 minutes
The time delay in a conversation with someone at Neptune when the planets are at their furthest is 256 minutes
Explanation:
The parameters given are as follows;
Time for duration of a signal to the Earth from the Sun = 8 minutes
Distance of the Earth from Neptune = 30 × Distance of the Earth from the Sun
Therefore, where distance from Neptune to the Sun = x
x = 30 × Distance of the Earth from the Sun + Distance of the Earth from the Sun
x = 31 × Distance of the Earth from the Sun
Closest distance from the Earth to Neptune = 30 × Distance of the Earth from the Sun
∴ Farthest distance from the Earth to Neptune = Distance from Neptune to the Sun + Distance of the Earth from the Sun
Farthest distance from the Earth to Neptune = x + Distance of the Earth from the Sun
Farthest distance from the Earth to Neptune = 32× Distance of the Earth from the Sun
Hence, the time in a conversation with someone at Neptune when the planets are at their closest is given s follows;
Closest distance from the Earth to Neptune = 30 × Distance of the Earth from the Sun
Therefore, time for duration of a signal to the Earth from Neptune (when both planets are closest) = 30 × Time for duration of a signal to the Earth from the Sun
Time delay of a signal to the Earth from Neptune (when both planets are closest) = 30 × 8 minutes = 240 minutes
Similarly;
Time delay of a signal to the Earth from Neptune (when both planets are furthest) = 32 × 8 minutes = 256 minutes.
