There is approximately 10³4 J of energy available from fusion of hydrogen in the world's oceans. a) If 1033 J of this energy were utilized, what would be the decrease in mass of the oceans? Assume that about 0.06% of the mass of a water molecule is converted to energy during the fusion of Hydrogen b) How great a volume of water does this correspond to?

Q: The momentum of a particle with rest mass m is given as p=mc where c is the speed of light.…

A: Energy dissipation relation of Special Theory of Relativity is E2=p2c2+m2c4                   (1)…

Q: Hannah the Standard Poodle has just been groomed, and without so much fur she weighs in at a lithe…

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Q: The sun produces energy by nuclear fusion reactions, in which matter is converted into energy. By…

A: Given: The production of energy from the sun is 3.8×1026 W. Introduction: According to Einstein's…

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

A: The Doppler effect is the change in the observed frequency of an electromagnetic wave due to…

Q: The sun radiates energy at the rate 3.8 x 1026 W. The source of this energy is fusion, a nuclear…

A: a. Mass lost by the sun each year is, m=Ec2=Ptc2=3.8×1026 W1 yr3×108 m/s2=3.8×1026 W3.154×107 s3×108…

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: To say that E = mc (squared) is to say that energy  (a) increases as the speed of light squared.…

A: Introduction: E=mc2, equation in German-born physicist Albert Einstein;s theory of special…

Q: The nuclear reaction that powers the sun is the fusion of four protons into a helium nucleus. The…

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Q: An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years…

A: The speed at which the astronaut travel is

Q: The particle accelerator at Stanford University is three kilometers long and accelerates electrons…

A: The particle accelerator at Stanford University is three kilometers long andaccelerates electrons to…

Q: A tau particle has a rest mass of 3.18x10-27 kg. Suppose a tau particle is traveling at 8 m 1.25x108…

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Q: Find the speed of a particle whose relativistic kinetic energy is 40% greater than the Newtonian…

A: Let the mass of the particle is m0 . Let the relative mass of the particle is given by m. Let the…

Q: A chain of nuclear reactions in the Sun's core converts four protons into a helium nucleus. (Use…

A: mp = 1.67262 x 10-27 kg mh = 6.64466 x 10-27 kg ∆m = ? E = ?

Q: The average lifespan (lifespan) of a muon at rest is 2.2 × 10−6 s. Thetime muon lifeobserved in…

A: The relative mass or mass at speed v is given by                             m=m0γ…

Q: The velocity of an alpha particle, He2+, with a mass of 6.64×10−27kg changes from v1=(−0.30,…

A: If an object has mass 'm' and velocity 'v' then the kinetic energy of the object is given by:…

Q: An electron has a total energy equal to five times its rest energy. (a) What is its momentum? (b)…

A: (a) Write the expression for the relativistic total energy of the electron in terms of momentum (p)…

Q: We are all used to the familiar expression mv²/2 for the kinetic energy of the particle of mass m…

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Q: An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years…

A:

Q: Find the speed of a particle whose relativistic kinetic energy is 30 % greater than the Newtonian…

A: Here given the relativistic kinetic energy is 30% greater than the Newtonian value. We have to…

Q: There is approximately 1034 J of energy available from fusion of hydrogen in the world's oceans. a)…

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Q: Relativistic formulas for time dilation, length contraction,and mass are valid(a) only for speeds…

A: The relativistic formulas for time dilation, length contraction, and mass, can be given as, Here,…

Q: The kinetic energy of motion, T, of a particle is the relativistic total energy minus the rest…

A: Given: Kinetic energy of relativistic of particle is T T=γm0c2-m0c2 To prove: if v<< c, then…

Q: One cosmic ray neutron has a velocity of 0.250c relative to the Earth. (a) What is the neutron’s…

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Q: Electrical energy of approximately 1.00 x1019 J is used annually in the United States. How much rest…

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Q: Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station…

A: We use relativistic mechanics to solve these problems

Q: an asteroid with a mass of 8.2x10^11 kg is observed to have a relativistic momentum of the magnitude…

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Q: Determine the total relativistic energy E of the particle.   Find the ratio of the particle's…

A: Given:- mo=7.15×10^−27 kg p= 5.56×10^−18 kg·m/s We know that the relation between relativistic…

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: (e) When the electron is moving at 85 % of the speed of light, how many times greater is the…

A: e) The electron’s non-relativistic momentum can be represented as, Here, m and v represent the…

Q: A proton has a momentum of 3.34 x 10-19 kg˖m/s. What is its speed relative to the speed of light

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Q: Electrical energy of approximately 1.00 x 1019 J is used annually in the United States. How much…

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Q: A particle has a rest mass of 6.35 × 10-27 kg and a momentum of 5.39 × 10-18 kg-m/s. Determine the…

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Q: An elementary particle of mass 9.5 x 10-27 kg is moving at speed 9 x 107 m/s. (A) Its relativistic…

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Q: Starting with the definitions of relativistic energy and momentum, show that E2 =P2c2 +m2c4 (Eq.…

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

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Q: a. There exists a frame in which these events occur at the same time. Find the velocity of this…

A: (a)Assume v as the velocity of frame S and the time in that frame for the event 1 is given as, And…

Q: Protons in a University accelerator are accelerated to a kinetic energy of 16 times their rest…

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Q: A particle has a rest energy of 4.31×10−13 J and a total energy of 8.33×10−13 J. Calculate the…

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Q: The Sun produces energy at a rate of 4.00 x 1026 W by the fusion of hydrogen. How many kilograms of…

A: Energy produce by the sun is E = 4.00 x 1026 W

Q: rocket is traveling through space and its Lorentz factor (y) is 3.9. Determine the rocket's speed…

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Q: he velocity of an alpha particle, He2+, with a mass of 6.64×10−27kg changes from v1=(−0.30,…

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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.