- #1

Physics345

- 250

- 23

## Homework Statement

Imagine that you are flying on an airliner on a long flight to Europe, at a constant speed of 300 m/s.

a) You throw a ball towards the back of the plane at 20 m/s. You then shine a beam of light towards the back of the plane. How will these two things-the ball and the light-appear to move, from the Earth's frame of reference? Explain any differences.

b) Would you expect your watch to be affected by time dilation? Explain your reasoning.

## Homework Equations

none.

## The Attempt at a Solution

a) The ball will move at 300 m⁄s-20 m⁄s=280 m⁄s [forward] from the earth’s frame of reference. It will move 20 m/s backwards in my frame of reference, since the ball moving from my frame of reference is relative to me and my viewpoint and the ball moving from the earth’s frame of reference is relative to the earth’s frame of reference. The light will move at c=3.0×〖10〗^8 m⁄s [forward] from the earth’s frame of reference, taking into account postulate 2 it will move c=3.0×〖10〗^8 m⁄s [forward] regardless of the frame of reference it is being viewed from.

b) No considering my time in the airliner would be according to my frame of reference and the air liner is not moving nearly fast enough for the time dilation to be occurring at a significant level, but it is occurring at an insignificant level. Considering the pervious statement, the watch that is in my frame of reference cannot and will not notice a change of time.