1. Suppose that you are on a spaceship traveling at a constant velocity of 0.770c. While...
Practice Problem 27.3 SOLUTION A spaceship flies past earth with a speed of 0.980c (about 2.97 x 10 m/s) relative to earth. A crew member on the spaceship measures its length, obtaining the value 400 m. What is the length measured by observers on earth? SET UP The length of the spaceship in the frame in which it is at rest (400 m) is a proper length in this frame, corresponding to lo in We want to find the length...
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...
pre Come HOMEWORK due Weds. Spaceship at relativistie speed - Timer Notes Evaluate Feedback 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 1255 m. What is the speed of the spaceship in terms of the speed of light? Hints: Objects moving at relativistic speeds shrink in the direction of motion. This is the so called...
Suppose Person A is traveling on a spaceship going 50% of the speed of light. Person A measures the length of the spaceship to be 10 meters. How long would a Person B measure the spaceship if person B were on a planet as the spaceship passed by? 10 m 9.33 m 8.70 m 6.47 m
You are traveling in a spaceship going at β=0.875 with respect to the earth. A friend in an identical spaceship travels past you at a high speed. He tells you that he measures his own ship to be 22.2 m long and he measures your ship to be 19.0 m long. According to your own observations, what is the speed (B) of your friend's ship?
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...
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...
1. Constant Acceleration – 1. Constant Acceleration - 1 g Spaceship. Imagine that a spaceship can accelerate (starting from rest) at a sustained 1 g (9.8 m/sec2) for any desired length of time. Make a table as follows Veloci m/sec km/sec Distance Traveled meters kilometers millions of kilometer billions of kilometers billions of kilometers Elapsed time 1 minute our 1 day 1 week(7 days) 1 month (30 days) km/sec km/sec For each listed time, calculate both the attained velocity and...
1. Suppose a meter stick (length = 1 m) goes flying past you at velocity = 0.5c . As the stick goes by you measure its length. What length would you measure? (5 pts) 2. Suppose the Earth collapsed down to a black hole (this can’t really happen). What would be the radius of the black hole in meters? Newton’s gravitational constant G = 6.7 × 10-11 in metric units. The mass of the earth is 6.0 ×1024 kg. (5...
1. Constant Acceleration -1g Spaceship. Imagine that a spaceship can accelerate (starting from rest) at a sustained 1 g (9.8 m/sec') for any desired length of time. Make a table as follows Elapsed time 1 minute 1 hour dadayS 1 week (7 days) 1 month (30 days) m/sec km/sec km/sec km/sec km/sec Distance Travel meters kilometers millions of kilometers billions of kilometers billions of kilometers For each listed time, calculate both the attained velocity and the distance traveled. (The numbers...