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81. Two events occur 2 seconds apart according to an observer on Earth. What is the time difference between the events according to an observer moving at 0.9c relative to Earth? A. 1.07 s B. 2 s C. 4.36 s D. 6.72 s 82. A spaceship is traveling at a speed of 0.3c relative to an observer on Earth. The spaceship clock ticks every 4 seconds according to the passengers. What is the time between ticks according to the observer on Earth? A. 3.2 s B. 4 s C. 4.8 s D. 5.6 s 83. If the proper length of an object is 10 meters and an observer measures its length to be 5 meters, what is the speed of the object relative to the observer? A. 0.87c B. 0.93c C. 0.97c D. 0.99c

81. Two events occur 2 seconds apart according to an observer on Earth. What is the time difference between the events according to an observer moving at 0.9c relative to Earth? A. 1.07 s B. 2 s C. 4.36 s D. 6.72 s 82. A spaceship is traveling at a speed of 0.3c relative to an observer on Earth. The spaceship clock ticks every 4 seconds according to the passengers. What is the time between ticks according to the observer on Earth? A. 3.2 s B. 4 s C. 4.8 s D. 5.6 s 83. If the proper length of an object is 10 meters and an observer measures its length to be 5 meters, what is the speed of the object relative to the observer? A. 0.87c B. 0.93c C. 0.97c D. 0.99c

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72. A light source moving towards an observer at a speed of 0.3c emits light with a wavelength of 600 nm. What is the wavelength of the light according to the observer? A. 483 nm B. 600 nm C. 720 nm D. 860 nm 73. The relativistic momentum of an object is given by: A. p = m0v B. p = m0v/√(1-v^2/c^2) C. p = mv D. p = mv/√(1-v^2/c^2) 74. An object with a rest mass of 4 kg is moving at a speed of 0.9c. What is the kinetic energy of the object? INSTRUCTION: Select the best answer for each question and provide the solution if required. A. 1.29 x 10^18 J B. 3.01 x 10^18 J C. 4.52 x 10^18 J D. 6.03 x 10^18 J 75. According to the special theory of relativity, the speed of light in vacuum: A. Changes with the motion of the observer B. Changes with the motion of the source C. Is the same for all observers regardless of their motion D. Is faster for an observer moving towards the source 76. A spaceship is moving at 0.8c relative to an observer on Earth. The spaceship's passengers measure a distance of 200 meters between two points. What is the distance between the points according to the observer on Earth? A. 120 m B. 150 m C. 200 m D. 240 m 77. If an object's total energy is 3 times its rest energy, what is the object's speed relative to an observer? A. 0.66c B. 0.82c C. 0.94c D. 0.99c 78. An observer on Earth measures a spaceship's length to be 3,000 meters when it is at rest. If the spaceship's speed relative to the observer is 0.99c, what is the length of the spaceship according to the observer when it is moving? A. 423 m B. 840 m C. 1,800 m D. 2,300 m 79. A particle has a rest mass of 1 kg and is moving at a speed of 0.7c relative to an observer. What is the relativistic momentum of the particle? A. 0.7 kg m/s B. 1.4 kg m/s C. 2.1 kg m/s
Transcribed Image Text:72. A light source moving towards an observer at a speed of 0.3c emits light with a wavelength of 600 nm. What is the wavelength of the light according to the observer? A. 483 nm B. 600 nm C. 720 nm D. 860 nm 73. The relativistic momentum of an object is given by: A. p = m0v B. p = m0v/√(1-v^2/c^2) C. p = mv D. p = mv/√(1-v^2/c^2) 74. An object with a rest mass of 4 kg is moving at a speed of 0.9c. What is the kinetic energy of the object? INSTRUCTION: Select the best answer for each question and provide the solution if required. A. 1.29 x 10^18 J B. 3.01 x 10^18 J C. 4.52 x 10^18 J D. 6.03 x 10^18 J 75. According to the special theory of relativity, the speed of light in vacuum: A. Changes with the motion of the observer B. Changes with the motion of the source C. Is the same for all observers regardless of their motion D. Is faster for an observer moving towards the source 76. A spaceship is moving at 0.8c relative to an observer on Earth. The spaceship's passengers measure a distance of 200 meters between two points. What is the distance between the points according to the observer on Earth? A. 120 m B. 150 m C. 200 m D. 240 m 77. If an object's total energy is 3 times its rest energy, what is the object's speed relative to an observer? A. 0.66c B. 0.82c C. 0.94c D. 0.99c 78. An observer on Earth measures a spaceship's length to be 3,000 meters when it is at rest. If the spaceship's speed relative to the observer is 0.99c, what is the length of the spaceship according to the observer when it is moving? A. 423 m B. 840 m C. 1,800 m D. 2,300 m 79. A particle has a rest mass of 1 kg and is moving at a speed of 0.7c relative to an observer. What is the relativistic momentum of the particle? A. 0.7 kg m/s B. 1.4 kg m/s C. 2.1 kg m/s
81. Two events occur 2 seconds apart according to an observer on Earth. What is the time difference between the events according to an observer moving at 0.9c relative to Earth? A. 1.07 s B. 2 s C. 4.36 s D. 6.72 s 82. A spaceship is traveling at a speed of 0.3c relative to an observer on Earth. The spaceship's clock ticks every 4 seconds according to the passengers. What is the time between ticks according to the observer on Earth? A. 3.2 s B. 4 s C. 4.8 s D. 5.6 s 83. If the proper length of an object is 10 meters and an observer measures its length to be 5 meters, what is the speed of the object relative to the observer? A. 0.87c B. 0.93c C. 0.97c D. 0.99c
Transcribed Image Text:81. Two events occur 2 seconds apart according to an observer on Earth. What is the time difference between the events according to an observer moving at 0.9c relative to Earth? A. 1.07 s B. 2 s C. 4.36 s D. 6.72 s 82. A spaceship is traveling at a speed of 0.3c relative to an observer on Earth. The spaceship's clock ticks every 4 seconds according to the passengers. What is the time between ticks according to the observer on Earth? A. 3.2 s B. 4 s C. 4.8 s D. 5.6 s 83. If the proper length of an object is 10 meters and an observer measures its length to be 5 meters, what is the speed of the object relative to the observer? A. 0.87c B. 0.93c C. 0.97c D. 0.99c
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