(ii) Two Rockets, each 10000 cm long when they are measured at rest, move toward each other with speeds of 0.9c with respect to the earth (where c is the speed of light). (a) How long is each Rocket as measured by the observer on the earth? (b) Using velocity addition formula how fast is traveling each rocket as calculated by an observer on one of the rockets? (c) How long is one rocket when measured by an observer on one of the rockets?

Q: The proper length of one spaceship is three times that of another. The two spaceships are traveling…

A: The proper length of the faster ship is three times that of the slower ship

Q: Two spaceships are moving away from Earth in opposite directions, one at 0.83*c, and one at 0.8*c…

A: Given data The velocity of one spaceship is v1 = 0.83c. The velocity of another spaceship is v2 = -…

Q: Rocket A travels to the right and rocket B travels to the left, with 0.5c and 0.7c respectively,…

A:

Q: An astronaut travels in a spaceship traveling at 0.87 c away from a stationary observer on the…

A: according to tension we need to find the proper length observed by Astronaut Riding in the spaceship…

Q: A massive K is produced at point A and travels to point B where it decays. A stationary observer in…

A: A massive K is produced at point A and travels to point B where it decays. A stationary observer in…

Q: If mass is a form of energy, does this mean that a spring hasmore mass when compressed than when…

A: A compressed spring has more potential energy then a relaxed spring.

Q: Particle A has half the mass and twice the speed of particle B. Is pa less than, greater than or…

A: The magnitude of the momentum(p) of a particle can be given as, p = mv, where m is the mass of the…

Q: Two neutron stars are separated by a distance of 1.0 x 1011 m. They each have a mass o are initially…

A: Given:- The separation distance between the two neutron stars r= 1.0 x 1011 m  They have a mass m =…

Q: A spaceship traveling at 0.5c relative to earth is 45 m long as measured by its crew. How long is…

A: The original length of the spaceship, L0=45 m   The velocity of a spaceship, v=0.5 c

Q: One cosmic-ray particle approaches Earth along Earth’s north–south axis with a speed of 0.80c toward…

A: The velocity addition rule is given by,

Q: If you were on a spaceship traveling at 0.60 c away from a star, at what speed would starlight pass…

A: According to special relativity Let us consider a frame S'is moving with a speed v along x axis with…

Q: A spaceship whose rest length is 272 m has a speed of 0.82c with respect to a certain reference…

A:

Q: A pendulum in a spaceship traveling at a speed of 0.907 c relative to the Earth, has a period of…

A:

Q: As measured on Earth, a spaceship traveling at 0.94c takes 8 years to complete the trip from Earth…

A: Postulates of Special Theory of Relativity: All the laws of physics are the same in all inertial…

Q: How fast will a space ship be moving, if the observer on earth notices that the time on the…

A: The equation for the time dilation is given by

Q: If an external force is operating on a system, is it feasible for it to be relativistic at the same…

A:

Q: A car has length 4.40 m when it is at rest relative to you. If it moves past you at a speed of…

A: Given data:  Length of car at rest (L0) = 4.40 m Speed of car (v) = 0.88c Required: Measured length

Q: Imagine a situation where an object with mass m is moving in East direction with the speed of v. The…

A: Mass of object = m Speed of object = v Object is moving in East direction, also given that the speed…

Q: A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame to be 50.0…

A: Given: The speed of spaceship is v=0.90 c Let L0 be the proper length of spaceship. The apparent…

Q: 15-26. As indicated by the derivation, the principle of impulse and momentum is valid for observers…

A: For observer A, using the principle of the work and energy K1+ΣU1→2=K212mv12+ΣU1→2=12mv22…

Q: A car with a proper length of 8.0 m passes by. Calculate the contracted length when the speed of…

A:

Q: Two spaceships, each moving at a speed 0.75c relative tothe Earth, are headed directly toward each…

A: Given: The velocity of each spaceship is 0.75c. Introduction: When the velocity of an object is…

Q: When a missile is shot from one spaceship towards another, it leaves the first at 0.950c and…

A:

Q: If relativistic effects are to be less than 1%, then γ must be less than 1.01. At what relative…

A:

Q: 2. (i) An electron with rest energy 0.511 MeV travels with speed u = 0.7c. Find (a) its total energy…

A: Given values: Rest energy of electron, E0=0.511 MeV Speed of electron, u=0.7 c

Q: An astronaut traveling at a speed of 0.75c requires 25 years, as measured on Earth, to make a round…

A: given: velocity v=0.75 c with respect to Earth T =25 yrs

Q: As measured on Earth, a spaceship traveling at 0.97c takes 3 years to complete the trip from Earth…

A:

Q: Two fireworks are at rest 300 m apart. They both go off simultaneously to an observer on the ground…

A:

Q: According to observer O, a blue flash occurs at ?1 = 10.4m when ?1 = 0.124µs and a red flash occurs…

A: Given : x1 = 10.4 m t1 = 0.124µs = 0.124 x 10-6 s x2 = 23.6 m t2 = 0.138µs = 0.138 x 10-6 s

Q: 14-7. As indicated by the derivation, the principle of work and energy is valid for observers in any…

A: Given Mass                       = 10 kg Force                      = 6 N Initial speed           =…

Q: A muon is created 60.0 kmkm above the surface of the earth (as measured in the earth's frame). The…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: A spaceship departs from a space station and achieves a constant speed of 0.80cwith respect to thes…

A: Given data :                   Speed of the spaceship with respect to space station ( v ) = 0.80c…

Q: As spaceship A moves away from the earth at 0.510c, the captain observes a second spaceship (B)…

A:

Q: If the kinetic energy of a particle is equal to its rest energy then what must be its speed?

A: Given ,        the kinetic energy of a particle equals to its rest energy                speed (v)…

Q: An object, with mass m and speed v relative to an observer,explodes into two pieces, one three times…

A:

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.