Activity 2.2. Shrinking Ship Danny is driving a spaceship with a length of 60 meters at the speed of .32c and is observed by Susan in the direction relative to her. Based on this situation, identify the perceived length of the space shuttle using the principle of length contraction. In addition, describe what happened to the length of the space shuttle. Moreover, describe what will happen to an object as it reaches the speed of light.
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- When we drive our cars, we do not notice relativistic effects such as length contraction and time dilation because: Group of answer choices a. our speeds are much less than the speed of light. b. the effects cancel each other out. c. we are just used to it and we don't really notice anymore.To make the numbers simple we will regard the travelling twin as travelling at 0.866c during the trip (=2) to a planet 10.4 light-years away (this distance was chosen so that the trip time to destination = 12 years in earth frame). The total trip as measured in the earth frame is 24 years. Using the following information above, resolve the question on who is really younger by: a. Applying length contraction, time dilation and relativity of simultaneity.Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was measured to be 1.02c. ASK YOUR TEACH The rocket's rest length is 847 m. An observer flying by measured the rocket to be 173 m long. A rocket flying by the Sun at 0.48c measured the speed of the photons (particles of light) emitted by the Sun to be 0.79c. An inertial reference frame had an acceleration of 0 m/s². The proper time interval between two events was measured to be 296 s. The time interval between the same two events (as measured by an observer not in the proper frame) was 370
- Part 2: Passing spaceships You and a friend pass each other in spaceships that are each traveling 0.35c relative to the other. You observe that your spaceship (which you have measured to be 79 m long) is the exact same length as your friend's spaceship. How long is your friend's spaceship in their frame? How long is your spaceship in your friend's frame?Explain in detail.None
- a) Calculate the kinetic energy required to accelerate a single proton from a rest position to 0.9999c. The mass of a proton is 1.67x10*-27 kg. b) Find the ratio of the kinetic energy to the energy of a proton at rest. c) Explain why no particle accelerator will ever be able to accelerate any particle to the speed of light.35. Three galaxies are aligned along an axis in the order A, B, C. An observer in galaxy B is in the middle and observes that galaxies A and C are moving in opposite directions away from him, both with speeds 0.60c. What is the speed of galaxies B and C as observed by someone in galaxy A?1. A supertrain of proper length 195 m travels at a speed of 0.92c as it passes through a tunnel having proper length 90.0 m. How much longer is the tunnel than the train or vice versa as seen by an observer at rest with respect to the tunnel? meters
- a) b) 6. 6. a) 6. b) 6. c) (Barn-pole paradox) As shown in the figure below, a barn with a (resting) width of w = 5.0m is at rest on the ground. A pole with a resting length of 1 = 6.0m is flying towards the barn at a fast speed of 0.8c relative to the barn. (c denotes the speed of light.) Calculate the length of the pole as measured by an observer that is at rest with the barn (standing on the direction of motion of the pole). Calculate the width of the barn as measured by an observer that is at rest with the pole (sitting on the pole and flying towards the barn). From your calculations for parts (a) and (b), it is evident that the observer on the ground thinks that the pole can fit in the barn, while the observer on the pole thinks that the pole cannot fit in the barn. Suppose that the barn is equipped with automatic front and back doors. Use the relativistic nature of simultaneity to explain the barn-pole paradox: can the front and back doors momentarily trap the pole in the barn…1. A spaceship A moves east along the x axis with a speed of 0.80c and a spaceship B moves west toward the spaceship A with a speed of 0.70c as measured by an observer on the Earth. Calculate the speed of the spaceship A measured by an observer in the spaceship B in terms of c.2. An astronaut measures the distance between two stars as being 14.7 light-year and she measures the time it takes to travel between the stars as 21.0 years. a. Identify whether the astronaut or an observer on one of the stars would measure the following 4 properties. Proper Distance Proper Time b. How fast is the astronaut travelling? Dilated Time c. What is the proper distance (length) between the stars? d. What is the contracted distance (length) between the stars? Contracted Length e. What is the proper time between leaving one star and arriving at the other star? f. What is the dilated time between leaving one star and arriving at the other star?