Question

"A space ship traveling east flies directly over the head of an inertial observer who is at rest on the earth's surface. The speed of the space ship can be found from this relationship: . Reference: Ref 28-5 An apple falls from a tree and takes 4 s to reach the ground as reported by the earth-bound observer. According to the navigator's instruments, how long did it take the apple to fall

Answer 1

the time length it took the apple to fall is 8 seconds

Step-by-step explanation:

According to the navigator's instruments, the time it takes the apple to fall can be calculated by using the approach of the time dilation which is given by the expression:

`t = \frac{t_o}{\sqrt {1-(v^2)/(c^2)}}`

and it is given that the speed of the space ship can be found from this relationship;
`(1)/(2)= \sqrt{1-(v^2)/(c^2)}` and
`t_0` = 4s

Then t =
`(4)/((1)/(2) )`

t =
`4*(2)/(1)`

t = 8 seconds

Thus, the time length it took the apple to fall = 8 seconds