A rectangular board, having a length twice its width when measured at rest, is on board a spaceship that is flying with a relativistic speed. If an observer on Earth sees that the board is a square, how fast is the spaceship flying?
a) 0.500c
b) 0.866c
c) 0.978c
d) 0.750c
A rectangular board, having a length twice its width when measured at rest, is on board...
A spaceship is flying with a speed of 0.250c relative to the Earth. The spaceship fires a missile with a speed of 0.500c relative to it. What is the speed of the missile as measured by an observer on Earth? a) 0.667c b) 0.650c c) 0.866c d) 0.776c
Spaceships A, B, and C have the same proper length I, and according to an observer on Earth, are moving with same relativistic speed v in the +z, -, and -v direction, respectively. Find the length of each spaceship as measured by an observer in the Spaceship A. Spaceships A, B, and C have the same proper length I, and according to an observer on Earth, are moving with same relativistic speed v in the +z, -, and -v direction,...
9.1 Lorentz Contraction Objects traveling at relativistic speeds will appear to a stationary observer as shorter, as- suming that it is parallel to the direction of its motion. Using the equation for Lorentz contraction, find the following, where c is the speed of light: a) A spaceship is traveling with a velocity 0.8c. If it is 200m long in its rest frame (when the object is not moving), how long do you observe it to be? Assume that you can...
Objects traveling at relativistic speeds will appear to a stationary observer as shorter, as- suming that it is parallel to the direction of its motion. Using the equation for Lorentz contraction, find the following, where c is the speed of light: a) A spaceship is traveling with a velocity 0.8c. If it is 200m long in its rest frame (when the object is not moving), how long do you observe it to be? Assume that you can see the entire...
A spaceship is 1600 m long when it is at rest. When it is traveling at a certain constant speed its length is measured by external observers and it is found to be 505 m. What is the speed of the spaceship in terms of the speed of light? 2.84*10^8 Hints: Objects moving at relativistic speeds shrink in the direction of motion. This is the so called Lorentz contraction. What is the relationship between the speed of the spaceship, its...
Relativistic Length Measurements 4.7. Compute the contraction in length of a train 1/2 mile long when it is traveling at 100 mi/hr. Ans. 5.58 x 10-15 mi = 3.52 x 10-10 in. 4.8. At what speed must an observer move past the earth so that the earth appears like an ellipse whose major axis is six times its minor axis? Ans. 0.986c 49. An observer O' holds a 1.00 m stick at an angle of 30° with respect to the...
A very fast runner is carrying a pole that is 20m in length when at rest. The runner runs toward a barn that is 10m in length when at rest. We will call event A the time/location where the leading edge pole enters the barn. Event B is when the trailing edge of the pole enters the barn. Event C is when the leading edge of the pole leaves the barn. Event D is when the trailing edge of the...
A spaceship is 1600 m long when it is at rest. When it is traveling at a certain constant speed its length is measured by external observers and it is found to be 565 m. What is the speed of the spaceship in terms of the speed of light? In the kitchen of the spaceship the chef sets the oven timer for 1.80 hours to make roast beef. How much time does the roast beef spend in the oven when...
You are on board a spacecar that is flying at 0.500c relative to a pursuing spacemobile. When the spacemobile is 2x106 km behind you (as measured in your frame of reference), it fires a missile with a speed of 0.600c relative to the spacemobile. How many seconds, as measured in your frame, will it take the missile to hit your spacecar? a) 7.88 s b) 7.87 s c) 7.78 s d) 8.78 s
24. An astronaut at rest has a heart rate of 65 beats/min. What will her heart rate be as measured by an earth observer when the astronaut's spaceship goes by the earth at a speed of 0.60 c? A. 39 beats/min B. 52 beats/min C. 108 beats/min D. 81 beats/min