a) Find the kinetic energy of a 78.0-kg spacecraft launched out of the solar system with speed 106 km/s by using the classical equation K = 1/2 mv^2 . (b) Calculate its kinetic energy using the relativistic equation. (c) Explain the result of comparing the answers of parts (a) and (b).

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: Consider a proton that has a momentum of 1.00 kg·m/s.    Part (a)  Calculate the relativistic…

A: Given: In this question, the given values are, The given value of the speed of light is,…

Q: A futuristic rocket ship of mass m,hip = 6.0 x 10° kg is sent into space carrying one person with…

A:

Q: An alien spaceship has a mass of m = 3.2 x 10° kg, and accord- ing to the crew on board the…

A: The rest mass  of the alien spaceship=m0=3.2×109 Kg The bow to stern length according to the crew on…

Q: A 500 ft long spaceship with a mass of  slugs is traveling at .8 c towards a distant star system 4…

A: (a) Time t° = 3years (b) length L= 833 ft

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

A: (a) Given: The speed of the muon is 0.99c. The time for which the muon lives is 1.45 μs.…

Q: The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy.…

A: As per the theory of relativity, mass can be created directly from energy and energy directly from…

Q: As a spaceship is moving toward Earth, Justin and Rich who are on earth  measure its length to be…

A: (a) Velocity of spaceship relative to Earth is: 2.88 * 108 m/s.(b)       (i) Fin and Lael measures:…

Q: A particle of mass m1 has relativistic kinetic energy, Ek, equal to 2m1c^2. It collides with a…

A: The relativistic kinetic energy of a particle's mass  is Second particle's of mass  at speed…

Q: A proton has rest mass 1.67x10-27kg and momentum 5.00x10-19kg m/s. Find the ratio of the kinetic…

A: Given : Rest mass (m) = 1.67 * 10 -27 kg Momentum(p) = 5* 10-19 kg.m/s

Q: Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy…

A:

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

A:

Q: What are the rest energy, the kinetic energy, and the total energy of a 1.0 g particle wit of 0.7c?

A:

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: Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile…

A: The expression for the relativistic velocity addition is given as  u=v+u'1+vu'c2 where v is the…

Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…

A:

Q: an aerospace is moving away from the earth at a velocity v = 0.6c to carry out a research. when the…

A: (a) Let t be defined as the time taken by the signal to reach the aircraft. Then ct=5×108…

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

A:

Q: A proton moves with a speed of 0.90c. Find the speed of an electron that has: a) the same momentum…

A:

Q: 2.30 x 10-³c. and (b) 0.867c. (a) Number (b) Number Units Units

A:

Q: A free neutron has a mean lifetime of about 14.9 minutes when it is viewed from an inertial…

A:

Q: The kinetic energy of motion, 7, of a particle is the relativistic total energy minus the rest…

A:

Q: A particle detector can be used to measure the speed of an unstable particle if the lifetime is…

A:

Q: The rest energy of a particular subatomic particle is 1200 MeV. If this particle is traveling at 90%…

A:

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: When one compares the relativistic kinetic energy to the classically calculated kinetic energy for a…

A: we have to compare Relativistic kinetic energy with classical kinetic energy

Q: A deuteron, consisting of a proton and neutron and having mass 3.34 x 10-27 kg, is traveling at…

A: Mass of deuteron m = 3.34×10-27 kg Speed of deuteron v = 0.950c

Q: What is the kinetic energy of an electron if its speed is 0.992c?

A: The kinetic energy of a moving object in the framework of classical mechanics is given by KE=12mv2…

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.