Spaceships of the future may be powered by ion-propulsion engines in which ions are ejected from the back of the ship to drive it forward. In one such engine the ions are to be ejected with a speed of 0.90c relative to the spaceship. The spaceship is traveling away from the earth at a speed of 0.78c relative to the earth. What is the velocity of the ions relative to the earth? Assume that the direction in which the spaceship is traveling is the positive direction, and be sure to assign the correct plus or minus signs to the velocities.

Q: Two spaceships are at the sun, and they set their clocks to zero. They then travel in opposite…

A: Given, Speed of spaceships are 0.80c and 0.90c  distance from the sun is 5.0*109 m

Q: A spaceship heads directly toward an asteroid at a relative speed of 0.75c. When it is 3.0 x 108 m…

A: Time interval between the events in the spaceship's frame ∆ts=∆ta1-vc2=∆Lv-∆Lc1-vc2=∆Lccv-11-vc2

Q: A particle with mass m has speed 0.335c relative to inertial frame S. The particle collides with an…

A:

Q: Two rockets are approaching each other on a collision course. Relative to a stationary observer on…

A: Given data: The lengths of rocket is L. The speed of rocket 1 is v1=9/10 c=0.9c. The speed of…

Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

A: Given that :v=0.94 ct=1.525 μs

Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)…

A: Given: Length of the spacecraft as per observer (you) is 100 m Speed 'v' = 0.8 c

Q: It is given frame Fo and one point P with coordinate p" = [1, 2, 3]' in Fo. we do the following…

A: We will be using the idea of rotation matrices to solve this problem. We will first write the matrix…

Q: Frame A is stationary. A ball is fired in the x-direction with a speed of 5 m/s. If Frame B is…

A: Frame A is stationary. A ball is fired in the x-direction with a speed of 5 m/s. If FrameB is moving…

Q: If a spaceship, approaching the Earth at 0.190c, sends a message capsule toward the Earth at 0.390c…

A:

Q: Two particles are created in a high-energy accelerator and moves off in opposite directions. The…

A: Write the expression for the speed of the second particle.

Q: A moving rod is observed to have a length of ℓ = 2.00 m and to be orientedat an angle of θ = 30.0°…

A: (a) The observed length of the moving rod is l = 2.00 m. The angle made by the rod with the…

Q: A rod measures 1.00 m in its rest frame. How fast must an observer move parallel to the rod to…

A:

Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

A:

Q: A space traveler takes off from Earth and moves at speed 0.9700c toward the star Vega, which is…

A: in this question  we use simple space motion equation  and get answer.

Q: It has been proposed that spaceships of the future will be powered by ion propulsion engines in…

A: Given that, The velocity of ions relative to the engine vis=-0.80c The velocity of the ship relative…

Q: As the drawing shows, a carpenter on a space station has constructed a 30.0° ramp. A rocket moves…

A: Solution: Given: θ1 = angle of ramp constructed on space station = 30.0o     v = speed of rocket…

Q: kg, An unstable particle at rest spontaneously breaks into two fragments of unequal mass. The mass…

A: Given Data Mass of the first fragment is m1=2.80×10-28 kg Mass of the other fragment is…

Q: Our spacecraft is passing the Earth at a speed of 0.9c. Then after traveling for 10 years, we make a…

A:

Q: With respect to the earth, object 1 is moving at speed 0.90c to the right. Object 2 is moving to the…

A: See below

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A:

Q: An observer on Earth sees a rocket and a saucer flying away from Earth. The observer sees the saucer…

A:

Q: An observer on the earth sees a spaceship approaching at 0.52c. The ship then launches an…

A:

Q: 18.) A space shuttle passes the Earth at a speed of 0.80c. If the space shuttle is 30 m in length as…

A:

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.991c. Two micrometeorites…

A: We have two inertial frames of references as S and S' with coordinates (x, y, z, t) and (x', y', z',…

Q: A proton has momentum with magnitude p0 when its speed is 0.400c. In terms of p0 , what is the…

A: Momentum is po when the speed is 0.4 c

Q: A muon formed high in the Earth’s atmosphere is measured by an observer on the Earth’s surface to…

A: It is given that,

Q: A base on Planet X fires a missile toward an oncoming space fighter. The missile’s speed according…

A: The expression for velocity of an object is, u'=u-v1-uvc2

Q: A particle is moving at a speed of 0.925c and travels from one end of a 50 m long Physics lab to the…

A:

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.956c. Two…

A: If the relative speed between S and S' frame is v then the Lorentz transformation gives the…

Q: A person on earth notices a rocket approaching from the right at a speed of 0.79c and another rocket…

A: Given  V1 = 0.79c  moving  from  right  to  left  . (w.r.t observer at earth)  V2 = 0.55 c    moving…

Q: a) Galactus tries to destroy the Earth by stopping the Moon in its orbit. What effect would this…

A: According to special theory of relativity, the time measured by moving objects is lees than…

Q: is 0.961c. Two micrometeorites collide at coordinates x = 129 km and t = 192 μs according to an…

A: Given:- The origins of the two frames coincide at t = t' = 0 and the relative speed is 0.961c. Two…

Q: Two protons, each having a speed of 0.990c in the laboratory, are moving toward each other.…

A: Given data : Speed of protons is, v=v1=v2=0.990c

Q: An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator,…

A:

Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c.…

A: Observer measure the length of the spacecraft,   It is left measure by observer according to whom…

Q: Two spaceships, each 100 m long when measured at rest, travel toward each other with speeds of 0.85c…

A: Given Two spaceships length ( L0 ) = 100m Spaceship speed relative to earth ( v ) = 0.85c      ⇒…

Q: A spaceship is heading directly toward the Earth at a velocity of 0.800c . The astronaut on board…

A:

Q: An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter…

A:

Q: An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter…

A:

Q: Albert is piloting his spaceship, heading east with a speed of 0.97 c relative to Earth. Albert's…

A:

Q: A spaceship moving away from the earth with a speed of 0.90c fires a missile inthe same direction as…

A:

Q: A rocket measures 100 m long in its own frame (S') and is travelling at 0.995c relative to a frame…

A: a) In the S' frame, the time taken by the light pulse to arrive back at the tail of the rocket is…

Q: A tracking station on Earth observes a rocket move away at 0.370c. This rocket is designed to launch…

A: