As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two cultures of these bacteria are prepared, each consisting initially of one bacterium. One culture is left on earth and the other placed on a rocket that travels at a speed of 0.727c relative to the earth. At a time when the earthbound culture has grown to 64 bacteria, how many bacteria are in the culture on the rocket, according to an earth-based observer?

Q: A 1,400 kg stationary object is hit by a 890 kg object traveling at a speed of 0.900c. If the two…

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Q: An alien leader is watching Earth sitcoms transmitted to a distant planet. The season finale of the…

A: Speed of radio wave = 186,000 miles per second Distance between earth and planet = vx time = 186000…

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Q: Refer to Conceptual Example 11 as an aid in solving this problem. An intergalactic cruiser has two…

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Q: You are standing still on a spacecraft that is traveling toward the Sun at 0.25c. a) How fast are…

A: a)Imagine that you are in a open spaceship(Try to visualize the situation). Now you are standing…

Q: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…

A: The velocity of spaceship is, v=dt=1.5 ly9.461×1015 m1 ly1.8 yr3.154×107 s1 yr=14.1915×1015…

Q: A space beacon on Planet Karma emits a pulse of light every second. Spaceman Trevor flies directly…

A: Given data: Speed of Trevor, v=0.95c

Q: A very fast-moving train car passes you, moving to the right at 0.50c�. You measure its length to be…

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Q: A alien spacecraft has a speed of 0.74c with respect to Earth. The alien measure 39 hours for the…

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Q: As a spaceship is moving toward Earth, an Earthling measures its length to be 325 m, while the…

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

A: Given, Distance measured by an observer on the earth surface , l=3.43km=3430 m Speed measured by an…

Q: Many expressions in special relativity contain the gamma (y) factor. 1 y = V1 – 04c2 In the…

A: We have γ=11-v2c2 where,v= velocity.            c=speed of ligth.

Q: If a m = 93.9 kg person were traveling at v = 0.994c, where c is the speed of light, what would be…

A: Solution:-Given thatmass of person (m)=93.9 kgspeed of person (v)=0.994cc=speed of light=3×108 m/s

Q: A brick of mass 1kg travels to the right at 0.9c, where c is the speed of light. It collides with…

A: Write the relativistic expression for the momentum. p=mv1−v2c2 Here, m is the mass of the particle,…

Q: Allison and Sydney are doing relativistic experiments in a  stationary lab on earth.  At what speed…

A: The objective of this question is to find the speed of a 0.272-kg object that will give it the same…

Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…

A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…

Q: How far from the earth would you be able to travel in a lifetime of 74 years if you were able to…

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Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…

A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c

Q: As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two…

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Q: Consider a particle moving with a speed of 0.99c. How fast does the particle need to move in order…

A: Relativistic momentum is given by p=mvp=mov1-v2c2 Here mo is the rest mass of the particle. v is the…

Q: As a result of the collisions of cosmic rays with atoms in the upper atmosphere, muon particles are…

A: Muon is an unstable particle and will decay very fast. It follows the exponential decay function…

Q: Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving…

A: given f = 8.64 * 10^14 Hzv = 0.580 c

Q: If a m = 81.1 kg person were traveling at v= 0.980c, where c is the speed of light, what would be…

A: The mass of the person (m0) = 81.1 kg. The speed at which the person is traveling v=0.980 c…

Q: Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving…

A: Option A is correct 4.39×1014Hz

Q: If a m = 87.5 kg person were traveling at v = 0.992c, where c is the speed of light, what would be…

A: Kinetic energy is the energy a particle or an object has because it is in motion. An object gains…

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: How much work must be done to accelerate an electron to accelerate it from rest to a speed of…

A: The objective of the question is to calculate the amount of work needed to accelerate an electron…

Q: The proper lifetime of a certain particle is 100.0 ns. How long does it live in the laboratory if it…

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Q: How far from the earth would you be able to travel in a lifetime of 88 years if you were able to…

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Q: Antimatter: When a particle and its anti-particle collide, energy and momentum are conserved.…

A: Given Data: Electrons moving towards each other with velocity  v=0.98c

Q: At what speed is the magnitude of the relativistic momentum of a particle three times the magnitude…

A: magnitude of the relativistic momentum ismagnitude of the non relativistic momentum iswhere, is the…

Q: Why is the following situation impossible? On their 40th birthday, twins Speedo and Goslo say…

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Q: a) What is the kinetic energy of a 1.0 g particle with a speed of 0.800c? b) What is the rest…

A: Given data *The given mass of the particle is m = 1.0 g = 1.0 × 10-3 kg *The speed of the particle…

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: time

A: speed of spaceship (v)= 0.85cSince the speed of the space ship is comparable to the speed of light,…

Q: How much work must be done to increase the speed of an electron from (a) 0.14c to 0.15c and (b) from…

A: Work done is equal to the change in kinetic energy. The velocity values show that we need to use…

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Q: A driver is sentenced in court for crossing an intersection in red light. For his defense, the…

A: Step 1: First calculate the frequency of the red light and the green light using the formula…