You shoot a bullet with a speed of 0.6c to your right. Then, you get on...
You shoot a bullet with a speed of 0.6c to your right.
Then, you get on a magical car and begin to travel to your left
with a speed of 0.8c. (c is the speed of light)
a. What is the velocity of your magical car relative to the bullet?
Explain.
b. Looking back at the direction where you previously shoot the
bullet, can you observe the bullet now? Explain.
Homework Answers
sign convention:
Right : Positive
Left : Negative
speed of the bullet, VB = 0.6c
speed of the magical car, VC = -0.8c
a) sol.
velocity of car relative to the bullet,VCB = VC - VB
VCB = -0.8c - 0.6c
VCB = -1.4c
speed of the car w.r.t bullet is 1.4c towards left.
b) sol.
Now from inside the car, when we observe the bullet:
the speed of the bullet that we will observe that, VBC = VB - VC
VBC = 0.6c - (-0.8c)
VBC = 1.4c (towards right)
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