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yrs (a) As measured in an inertial frame in which the earth is at rest, what...
Amanda pilots a space ship away from earth at a speed of 0.810c. At some moment...
Amanda pilots a space ship away from earth at a speed of 0.810c. At some moment she sends a light pulse toward earth. Exactly one year later she sends another pulse toward earth. (a) As measured in an inertial frame in which the earth is at rest, what is the difference in time between the generation of the two pulses? (b) What is the difference in time between detection of the two pulses on earth? Treat the earth as stationary,...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame,...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame, Ω. Find any cross products in this problem. This problem will have calculation in the non inertial frame S which rotates with the Earth about its axis. Earth is motionless in the S frame. The xyz coordinate system originates at the center of the Earth, the North Pole is on the positive z axis. At t = 0, a ball of mass m is...
Two clocks, labelled 1 and 2, are at rest in an inertial frame , S. They...
Two clocks, labelled 1 and 2, are at rest in an inertial frame , S. They are synchronized and separated by a distance, d, as measured in S. A third clock, 3, at rest in S', moves from clock 1 to clock 2 at constant speed, v. An observer in S' measures the distance between clocks 1 and 2 to be 0.72 d. 10 seconds elapses on clocks 1 and 2 in the time taken for clock 3 to travel...
Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was measured...
Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was measured to be 0.65c. The rocket's rest length is 300 m. An observer flying by measured the rocket to be 321 m long. A rocket flying away from the Sun at 0.78c measured the speed of the photons (particles of light) emitted by the Sun to be c. An inertial reference frame had an acceleration of 0 m/s2.The proper time interval between two events was...
Time Dilation Time Dilation is a relativistic effect where time measured in two reference frames with...
Time Dilation Time Dilation is a relativistic effect where time measured in two reference frames with relative motion is different, even when the clocks in both reference frames are initially synchronized. Clocks are synchronized when the same time is measured when their inertial reference frames are at rest relative to one another (meaning there is no relative velocity). When t0, the clocks in the two reference frames are synchronized at the origin. The Proper Time (To) is the time difference...
A barn of length 10m in its own rest frame sits on the earth. A 10m...
A barn of length 10m in its own rest frame sits on the earth. A 10m proper length rocket attempts to fly through the barn at a speed of 0.8c, but the doors on both ends of the barn close simultaneously trapping it inside. a) What is the length of the rocket measured in the barn reference frame? What is the length of the barn measured in the rocket reference frame? b) How far out of syncronization are the door...
4-1 Two events occur at the same place in a certain inertial frame and are separated...
4-1 Two events occur at the same place in a certain inertial frame and are separated by a time interval of 4 sec. What is the spatial separation between these two events in an inertial frame in which the events are separated by a time interval of 6 sec?
As seen from earth (rest frame S) two Death Stars (A and B) are approaching in...
As seen from earth (rest frame S) two Death Stars (A and B) are approaching in opposite directions, each with speed 0.9c relative to earth (frame S). Find the velocity of Death Star B, as measured by the pilot of Death Star A. [Hint: Consider a coordinate system S' traveling along with Death Star A; your problem is then to find the velocity u' of Death Star B relative to S’, knowing its velocity u relative to S.] 0.9c 0.9c...
The tidal forces between the Earth and the Moon slowed down the Moon’s rotation about its own axis until the rotation period became equal to the Moon’s orbital period around the Earth as we observe today.
The tidal forces between the Earth and the Moon slowed down the Moon's rotation about its own axis until the rotation period became equal to the Moon's orbital period around the Earth as we observe today. The same effect is also slowing down the Earth's rotation about its own axis and increasing the separation \(D\) between the Moon and the Earth at a rate of \(\Delta D / \Delta t=3.8 \mathrm{~cm}\) per year. In this problem, you can ignore the...
1. If a rod travels with a speed v 0.8 c along its length, how much...
1. If a rod travels with a speed v 0.8 c along its length, how much does it shrink? 2. Assuming that the rest radius of earth is 6,400 km and its orbital speed about the sun is 30 km, how much does earth's diameter appear to be shortened to an observer on the sun, due to earth's orbital motion? 3. A rod of length Lo moves with speed v along the horizontal direction. The rod makes and angle 0o...
Time Dilation Time Dilation is a relativistic effect where time measured in two reference frames with relative motion is different, even when the clocks in both reference frames are initially synchronized. Clocks are synchronized when the same time is measured when their inertial reference frames are at rest relative to one another (meaning there is no relative velocity). When t0, the clocks in the two reference frames are synchronized at the origin. The Proper Time (To) is the time difference...
4-1 Two events occur at the same place in a certain inertial frame and are separated by a time interval of 4 sec. What is the spatial separation between these two events in an inertial frame in which the events are separated by a time interval of 6 sec?
As seen from earth (rest frame S) two Death Stars (A and B) are approaching in opposite directions, each with speed 0.9c relative to earth (frame S). Find the velocity of Death Star B, as measured by the pilot of Death Star A. [Hint: Consider a coordinate system S' traveling along with Death Star A; your problem is then to find the velocity u' of Death Star B relative to S’, knowing its velocity u relative to S.] 0.9c 0.9c...
1. If a rod travels with a speed v 0.8 c along its length, how much does it shrink? 2. Assuming that the rest radius of earth is 6,400 km and its orbital speed about the sun is 30 km, how much does earth's diameter appear to be shortened to an observer on the sun, due to earth's orbital motion? 3. A rod of length Lo moves with speed v along the horizontal direction. The rod makes and angle 0o...
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