d) As the spaceship passed over the Sun, the alien scientist launched a probe toward Earth, traveling at 0.200c relative to the spaceship. What would the Earth-based observer measure for the probe’s speed?
A spaceship from another galaxy passes over the solar system directly above a radial line from the sun
to the Earth. (We measure the distance between the Earth and the Sun to be 1.496 x 1011 m.) An
observer standing on the Earth measures that the spaceship is approaching at 0.800c. The Earth-based
observer also measures that it takes the spaceship 625 seconds to travel from the sun to Earth. Ignore
the relative motion of the Sun and Earth in this problem – their relative speed is only 0.001c, negligibly
small compared to 0.800c.
a) According to a scientist in the spaceship, the Earth-Sun distance is: ______8.9 x 10 ^10__________________
b) According to a scientist in the spaceship, the time it takes her to travel the Earth-Sun distance is:
_________374 s _______________
c) What is the ratio of the kinetic energy to rest energy of the spaceship? KE/ER = _______0.667__________
d) As the spaceship passed over the Sun, the alien scientist launched a probe toward Earth, traveling at
0.200c relative to the spaceship. What would the Earth-based observer measure for the probe’s speed?
________________________
Please answer d
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