A spaceship is traveling with constant velocity +0.1c relative to Earth. At t = () a missile is fired from the spaceship in + direction with speed 0.7c relative to the spaceship. (You can assume that the missile reaches this velocity at the moment it is fired, and that the velocity of the spaceship doesn't change when firing the missile). a. What is the velocity of the missile relative to Earth? Give answer in units of c. 0.74 At time t₁ = 1 s (in the reference frame of the spaceship), the spaceship emits a laser pulse (i.e. a light pulse), towards the missile. The laser pulse hits the missile and destroys it immediately at the moment of the hit. The clocks in Earth, the spaceship and the missile were set to t = t' = t" = () at the moment at which the missile was fired. b. Find the time (in seconds) of the destruction of the missile, in the frame of reference of the missile. c. Find the time (in seconds) at which the light emitted in the explosion (destruction) of the missile reaches back the spaceship, as measured in the reference frame of the spaceship.
A spaceship is traveling with constant velocity +0.1c relative to Earth. At t = () a missile is fired from the spaceship in + direction with speed 0.7c relative to the spaceship. (You can assume that the missile reaches this velocity at the moment it is fired, and that the velocity of the spaceship doesn't change when firing the missile). a. What is the velocity of the missile relative to Earth? Give answer in units of c. 0.74 At time t₁ = 1 s (in the reference frame of the spaceship), the spaceship emits a laser pulse (i.e. a light pulse), towards the missile. The laser pulse hits the missile and destroys it immediately at the moment of the hit. The clocks in Earth, the spaceship and the missile were set to t = t' = t" = () at the moment at which the missile was fired. b. Find the time (in seconds) of the destruction of the missile, in the frame of reference of the missile. c. Find the time (in seconds) at which the light emitted in the explosion (destruction) of the missile reaches back the spaceship, as measured in the reference frame of the spaceship.
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Transcribed Image Text:A spaceship is traveling with constant velocity +0.1c relative to Earth. At t = () a missile is fired from
the spaceship in + direction with speed 0.7c relative to the spaceship.
(You can assume that the missile reaches this velocity at the moment it is fired, and that the velocity of
the spaceship doesn't change when firing the missile).
a. What is the velocity of the missile relative to Earth? Give answer in units of c.
0.74
At time t₁ = 1 s (in the reference frame of the spaceship), the spaceship emits a laser pulse (i.e. a light
pulse), towards the missile. The laser pulse hits the missile and destroys it immediately at the moment
of the hit.
The clocks in Earth, the spaceship and the missile were set to t = t' = t" = () at the moment at which
the missile was fired.
b. Find the time (in seconds) of the destruction of the missile, in the frame of reference of the missile.
c. Find the time (in seconds) at which the light emitted in the explosion (destruction) of the missile
reaches back the spaceship, as measured in the reference frame of the spaceship.
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