Question

A millionairess was told in 1992 that she had exactly 15 years to live. However, if she immediately takes off, travels away from the Earth at 0.8 c and then returns at the same speed, the last New Year's Day the doctors expect her to celebrate is:

Answer 1

According to the theory of general relativity, time dilation occurs near a black hole, causing time to slow down. Therefore, when the astronaut travels away from Earth at 0.8 times the speed of light and returns, more time will have passed on Earth than for the astronaut. This means that the last New Year's Day the doctors expect her to celebrate on Earth would be much later than the year 2242.

Step-by-step explanation:

In physics, the concept that time slows down near a black hole is known as time dilation, which is predicted by the theory of general relativity. In this scenario, the astronaut travels away from the Earth at a speed of 0.8 times the speed of light (c) and then returns at the same speed. During this journey, time on Earth would have passed more quickly than for the astronaut due to the effects of time dilation. Therefore, when the astronaut returns, more time will have passed on Earth than for the astronaut. The last New Year's Day the doctors expect her to celebrate on Earth would be much later than the year 2242.

Answer 2

The expected year is 2017.

Step-by-step explanation:

Total years that the millionaire to live = 15 years

Travel away from the earth at = 0.8 c

This is a time dilation problem so if she travels at 0.8 c then her time will pass at slower. Below is the following calculation:

`T = \frac{T_o}{ \sqrt{1-(V^2)/(c^2)}} \\T = \frac{15}{ \sqrt{1-(0.8^2)/(c^2)}} \\T = 25 years`

Thus the doctors are expecting to celebrate in the year, 1992 + 25 = 2017