A spaceship and its occupants have a total mass of160,000 kg. The occupants would like to travel to a starthat is 35 light-years away at a speed of 0.70c. To accelerate,the engine of the spaceship changes mass directly to energy.(a) Estimate how much mass will be converted to energyto accelerate the spaceship to this speed. (b) Assuming theacceleration is rapid, so the speed for the entire trip can betaken to be 0.70c, determine how long the trip will takeaccording to the astronauts on board.

Q: An unstable particle produced in an acceleratorexperiment travels at constant velocity, covering…

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Q: Spatial separation between two events. For the passing reference frames of the figure, events A and…

A: Given Time period,  ∆t=tB-tA=2μs unprimed frame, ∆x=xB-xA=497M  d∆x'dβ=β∆x-c∆t1-β232=0 Where c is…

Q: A beau real pi meson is a particle that can be created by accelerator beams. If one such particle…

A: Step:1  . π Meson is a particle that can be created by accelerator beams.  . One such particle lives…

Q: A neutral K meson at rest decays into two t mesons, which travel in opposite directions along the x…

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Q: A SpacesnipAmoves away trom the earth at 0-462c, the captain observes a second Spacesnip B moving in…

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Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: (a)The mean life time as measured by the observer on earth can be given as

Q: In the muon decay experiment discussed in Section 2.9 as a verification of time dilation, the muons…

A: Time dilation: When the observer is moving wrt to the event happening then both the frame of…

Q: Will the clock rün faster or slower in the Rockies? Neglect theimass distribution under the Earth…

A: Time period T of a pendulam clock is given by:T=2πLgWhere L is the length of the pendulam…

Q: eson of rest energy 139.6MeV moving at a speed of 0.921c collides with and sticks to a proton of…

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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 subatomic particle muon travels at constant velocity 0.9c and lives 1.2us as measured in the…

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Q: A neutral π-meson is a particle that can be created byaccelerator beams. If one such particle lives…

A: The expression for find relative velocity is t'=t01-v2c21-v2c2=t0t'1-v2c2=t0t'2v=c1-t0t'2

Q: Take the ratio of relativistic rest energy, E = γmc2 , to relativistic momentum, p = , and show that…

A: The relativistic rest energy is given by,

Q: A particle has a kinetic energy of 62 MeV and a momentum of 335 MeVlc. Find its mass (in MeVc) and…

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Q: The relativistic total energy of a proton (Eo-938 MeV) moving at a speed of -0.86c is

A: We have givenE0=938 MeVandSpeed of proton (v)=0.86c

Q: A futuristic spaceship leaves the Earth traveling at a speed 0.85 c. A clock on board the ship reads…

A: Write the given values with the suitable variables. v=0.85ctp=2 hr Here, v and tp are the speed of…

Q: Particles called π-mesons are created by accelerator beams. If these particles travel at 2.54 ✕ 108…

A: Relativistic factor   Substituting the given values

Q: If relativistic effects are to be less than 3%, then γ must be less than 1.03. At what relative…

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Q: In an Earth reference frame, a star is 49 light-yearsaway. How fast would you have to travel so that…

A: If particle or an object travel at relativistic speed its length contraction occurs. Formula of…

Q: In 1986, Kristin Otto set a world’s record for the 100-m freestyle. Suppose that this race had been…

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

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Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: a) The mean life time pf the pi meson with respect to the proper time on the earth is,

Q: A spaceship, moving away from Earth at a speed of 0.900c, reports back by transmitting at a…

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

A: Speed of light, c = 3×108 m/sVelocity of muon, v = 0.95cTime period, ∆t0 = 1.52×10-6 s β = vcβ =…

Q: A star is 21.6 light-years from Earth. How long wouldit take a spacecraft traveling 0.950c to reach…

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Q: A particle has a kinetic energy of 62 MeV and a momentum of 335 MeVIc. Find its mass (in MeVc) and…

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Q: A negative muon traveling at 53% the speed of lightcollides head on with a positive muon traveling…

A: Given: The negative muon is traveling at 53% the speed of light. The positive muon is traveling at…

Q: How long would the muon in attached Example have lived as observed on the Earth if its velocity was…

A: Here, tE=tR1-vc2

Q: One possible decay mode of the neutral kaon is K0→π0+π0. The rest energiesof the K0andπ0are 498 MeV…

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Q: How many joules of energy per kilogram of rest mass are needed to bring a spacecraft from rest to a…

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Q: A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle.…

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Q: An airplane has rest length 40.0 m and speed 630 m/s. To a ground observer, (a) by what fraction is…

A: (a) The expression for the length contraction is:

Q: Your spaceship, traveling at 0.90c, needs to launch aprobe out the forward hatch so that its speed…

A: Given data: Speed of spaceship is, v=0.90c. Speed of probe relative to planet is, u=0.95c.

Q: What is the kinetic energy in MeV of a π -meson that lives 1.40×10−16 s as measured in the…

A: Given Data: The decay time of meson in rest frame is, t0=0.840×10-16 s The decay time in the rest…

Q: An armada of spaceships that is 1.00 ly long (as measured in its rest frame) moves with speed 0.800c…

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Q: Suppose a W − created in a bubble chamber lives for 5.00×10−25 s. What distance does it move in this…

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