Al leaves earth in a spaceship that travels at 0.96c for a star that he sees as

Question

Al leaves earth in a spaceship that travels at 0.96c for a star that he sees as being 24 ly away. He makes a round trip at the same speed. How much time has passed on earth when he returns, and how far away do the people on earth say the star is? A city water main 2 m below the ground is pressurized to an absolute pressure of 153 kPa. Find the speed at which water exits a faucet with a 50%-diameter reducer on the end if it is located 3 m above the ground. Assume one atmosphere is 100 kPa. Monochromatic light with a wavelength of 600 nm passes through an extremely narrow single slit oriented horizontally. A mirror sits flat, face up below the slit such that the slit and its reflection are separated by a distance of 20 mu m. A screen is placed one meter from the slit. Find the vertical distance on the screen between the plane of the mirror and the second maximum that occurs above it.

Explanation / Answer

The length in direction of travel is Due to relativistic Fitzgerald contraction, that will be reduced by the factor

sqrt[1-(v/c)^2] you are given v/c = 0.96 so sqrt[1-0.96^2] = 0.28.

distance=24 light year

1 light year = 9.4605284 * 10^15 meter

time =24 *9.4605284 *10^15 meter /0.960*3*10^8

time=24.96 year

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