The Millenium Falcon is chased by the Imperial Forces. The ship is moving at a s

Question

The Millenium Falcon is chased by the Imperial Forces. The ship is moving at a speed of 0.655 c. Han Solo is shooting at the imperial fighters with his newly installed proton cannon purchased at the MSU Surplus Store for $20.00 plus 6.00% TAX. The cannon emits protons at a speed of 0.861 c with respect to the ship.

What is the velocity of the protons in the resting frame of the movie audience in terms of the speed of the light when the cannon is shot in the forward direction? (Use positive sign for the forward direction, and negative for the backward direction.) I get the correct answer of this part 0.969

please help with the second part. I get the answer -0.4585 but it is incorrect

What is the velocity of the protons in the resting frame when the cannon is shot in the backward direction? (Use positive sign for the forward direction, and negative for the backward direction.)

Explanation / Answer

Given,
Speed of Ship = 0.655C
Speed of Proton Emission = 0.861C

Relativistic speed is Calculated as below -

When Cannon is shot in Forward Direction -
S = (v+u)/(1+vu/c²)
S = (0.655 + 0.861) / (1+ 0.655 * 0.861) = 0.969C

When Cannon is shot in Backward  Direction -
S = (v–u)/(1–vu/c²)
S = (0.861–0.655) / (1– 0.655 * 0.861) = -0.472 C

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.