A spaceship of mass 2.45 ✕ 106 kg is to be accelerated to a speed of 0.845c. (a) What minimum amount of energy does this acceleration require from the spaceship's fuel, assuming perfect efficiency?   (b) How much fuel would it take to provide this much energy if all the rest energy of the fuel could be transformed to kinetic energy of the spaceship?

Q: What must be the speed of an electron for its relativistic kinetic energy to be equal to its rest…

A: The relativistic kinetic energy (KE) of the electron is equal to the rest energy (E).

Q: A spaceship is observed from the Earth to be moving toward a star at a speed of 0.80 c. If the…

A:

Q: How fast must an object be going if its rest length is 2.1 times as long as its observed length?

A: Given: The rest length of the object is 2.1 times of the observed length.

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A: Given data: Speed of proton is, v=0.005c.

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Q: At what speed, as a fraction of c, will a moving rod have a length 60% that of an identical rod at…

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

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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: A supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

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Q: How fast must an object travel for its total energy to be 50% more than its rest energy?

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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: 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: How much work must be done to increase the speed of an electron from rest to (a) 0.500c, (b) 0.990c,…

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Q: A supertrain of proper length 100 m travels at a speed of 0.95c as it passes through a tunnel having…

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Q: An object moves by an observer at 0.400 c. The total energy of the object will be what factor times…

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Q: How much energy is required to accelerate a golf ball of mass 0.046 kg initially at rest to a speed…

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

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Q: In a lab, two electrons A and B are emitted in opposite directions with velocities +0.6c and -0.7c,…

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

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Q: A cube of steel has a volume of 1.00 cm3 and mass 8.00 g when at rest on the Earth. If this cube is…

A: It is given that,

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Q: How far from the earth would you be able to travel in a lifetime of 81 years if you were able to…

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A:

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: How much work must be done on an electron to accelerate it from rest to a speed of 0.991c?

A: calculation

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Q: A computer in a laboratory requires  5.60 μs  to make a certain calculation, as measured by a…

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Q: What are the kinetic energy, the rest energy, and the total energy of a 1.0 g particle with a speed…

A: The mass of rhe particle is m=1.0 g×1 kg1000 g=0.001 kg. The speed of the particle is…

Q: In a nuclear reaction two identical particles are created,traveling in opposite directions. If the…

A: Given Data: The speed of the first particle is, u = -0.82c. The speed of the second particle is, v…

Q: Suppose a spacecraft of mass 17000 kg is accelerated to 0.200 c. How much kinetic energy would it…

A: Given:- Mass(m)=17000 kg Velocity (V)=0.20 c Now, The relativistic kinetic energy of the particle.…

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.