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A Foron cruiser moving directly toward a Reptulian scout ship fires a decoy toward the scout ship. Relative to the scout ship, the speed of the decoy is 0.980cand the speed of the Foron cruiser is 0.900c. What is the speed of the decoy relative to the cruiser?

Short Answer

Expert verified

The speed of decoy relative to cruiser is 0.677c.

Step by step solution

01

Identification of given data

The speed of decoy is u=0.980c

The speed of Foron is v=0.900c

The Foron is moving opposite to the decoy so speed of the Foron is taken opposite to the speed of decoy and we substitute speed of Foron in expression with negative sign.

02

Determination of speed of decoy relative to crusier

The speed of decoy relative to cruiser is given as:

U=u+v1+u·vc2

Here, c is the speed of light.

Substitute all the values in the above equation.

U=0.980c+-0.900c1+0.980c-0.900cc2U=0.677c

Therefore, the speed of decoy relative to cruiser is 0.677c.

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