Special Relativity:Reminder: if all the variables are measured in one consistent, properly synchronized inertial frame,then the usual rules of kinematics apply:AxV =ΔιAx'Δxν Δ , Δ'v' Δ' etc .At'1=; speed parameter: B=- y =v?Lorentz gamma factor: y =Lorenz contraction: L=-L,;Time dilation: At = yAt,x' = r(x-vt)x = 7(x' + vt')y' = yy = y'Lorentz Transform:z' = zz = z'Inverse Lorentz:vx't = y| t'+Vxu +vuyu',u'Velocities: u̟ =u. =7[1+ (w; /e*)]'1+(vu', / c²)'1+(v/c)1-(v/c)r[1+(vď, I c°)]1Relativistic Doppler: f' =f (approaching)r(1-(v/c))1-(v/c)V1+(v/c)1Relativistic Doppler: f"f (receding)=r(1+(v/c))mūиpcMomentum: p=m is rest mass of particle;u?Emc?-mc?v²Kinetic energy: K =Rest energy: E = mc?mc²Total energy: E = K+E, =E² = p°c² +(mc²)?ymc² 1. A spaceship A (at rest in inertial frame A) of proper length L, =75.0m is moving in the+x direction at a speed v= 0.650c as measured in the Earth frame. Another spaceshipB (at rest in inertial frame B) is moving on a parallel path in the opposite direction (-x)with u, =-0.720c as measured in the Earth frame. The two spaceships pass eachother.a. What is the velocity and speed parameter of spaceship B in inertial frame A, u,,B' ?b. In inertial frame A, how long does it take for the tip of spaceship B to move from thetip of spaceship A to the tail of spaceship A?c. In inertial frame B, how long does it take for the tip of spaceship B to move from thetip of spaceship A to the tail of spaceship A?d. In the Earth frame, how long does it take for the tip of spaceship B to move from thetip of spaceship A to the tail of spaceship A?

Given: The proper length of a spaceship A is L0=75 m. The velocity of a spaceship A with respect to…

Answered: 1. A spaceship A (at rest in inertial…

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