Two rockets A and B are parallel to the x-axis in the reference frame of the...
Two rockets A and B are parallel to the x-axis in the reference frame of the lab. Rocket A is moving with velocity Va parallel to x-axis. Rocket B is moving with velocity Vb parallel to y-axis. At time t=0 the centers of both sticks coincide at the origin. Find the angle between the sticks and the length and velocity of stick B in the reference frame of stick A. Find the angle between the sticks and the length and velocity of stick A in the reference frame of stick B. *All answer should be expressed using Relativity*
Homework Answers
Summary: to fine the relative velocity of B
with respect to A. We use velocity transformation laws and find X
and Y components of relative velocity separately then we take
resultant of these components which will be the final velocity of B
in frame A. And find the angle between these two we use expression
for tan.
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Two rockets A and B are parallel to the x-axis in the reference
frame of the...
1. A long stick with L 2.0m lies at rest in the Rocket frame and makes...
1. A long stick with L 2.0m lies at rest in the Rocket frame and makes an B=u/c Rocket angle with thex axis. The Rocket frame is moving to the right with a speed у уг Ф2 4 x2 В with respect to Lab frame. 5 Lab (a) What angle , does the same meter stick make with the xi axis of the Lab X1 frame, in terms of ? (b)What is the length of the stick, as observed in...
A reference frame S' moves with a constant speed v=0.800c along the x axis relative to...
A reference frame S' moves with a constant speed v=0.800c along the x axis relative to a second reference frame S. A particle is observed from reference frame S' to be moving with velocity 0.400c (along the positive x' axis). What would be the velocity of the particle as measured by an observer in reference frame S?
A car is moving in the positive x direction in the reference frame S. The reference...
A car is moving in the positive x direction in the reference frame S. The reference frame S' moves at a speed of 0.88c, along the x axis. The proper length of the car is 3.40 m. Calculate the length of the car according to observers in the S' frame.
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis...
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis for a race parallel to the y axis. Two starters, one beside each runner will fire their pistols at lightly different times, giving a handicap to the faster of the two sprinters. The time difference in the frame S is T (a) For what range of time differences will there be a reference frame Š in which there...
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis...
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis for a race parallel to the y axis. Two starters, one beside each runner will fire their pistols at lightly different times, giving a handicap to the faster of the two sprinters. The time difference in the frame S is T (a) For what range of time differences will there be a reference frame Š in which there...
The coordinate axes of the reference frame S' remain parallel to those of S, as S'...
The coordinate axes of the reference frame S' remain parallel to those of S, as S' moves away from S at a constant velocity Vç (6.0î 9.0j 7.0k) m/s. (Express your answers in vector form. Use the following as necessary: t. Assume all positions are in meters, velocities are in m/s, accelerations are in m/s, and t is in seconds. Do not include units in your answers.) (a) If at time t 0 the origins coincide, what is the position...
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis...
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis for a race parallel to the y axis. Two starters, one beside each runner will fire their pistols at lightly different times, giving a handicap to the faster of the two sprinters. The time difference in the frame S is T. (a) For what range of time differences will there be a reference frame S¯ in which there...
Need help with these two problems. Thanks! 1. Relativistic velocity addition: Consider a universe in which...
Need help with these two problems. Thanks!
1. Relativistic velocity addition: Consider a universe in which Einstein's postulates and special relativity are valid but the speed of light c 300 miles/hour. A Kia with proper length L and a Bugatti with proper length 2L are racing. The Kia moves at a fixed radar gun. In the Kia's reference frame, both cars have the same length. What is the speed VB of the Bugatti with respect to the radar gun? speed...
9 An inertial frame of reference S' moving to the left with speed 25 ms' moves...
9 An inertial frame of reference S' moving to the left with speed 25 ms' moves past another inertial frame S. At time zero the origins of the two frames coincide. a A phone rings at location x=24 m and 1=5.0s. Determine the location of this event in the frame S. b A ball is measured to have velocity -15 ms' in frame S. Calculate the velocity of the ball in frame S.
1. A stick of length L moves past you, parallel to its length, at spee frame,...
1. A stick of length L moves past you, parallel to its length, at spee frame, S'. Call the event (front of stick passes you) A, and the event( Find the time interval between the two events in frame S, by work d v. Let your frame be S, and the stick's back of stick passes you), B. (a) ing IN frame S. (b) Now find the time interval in your frame by working in the stick's frame. (c) Now...
1. A long stick with L 2.0m lies at rest in the Rocket frame and makes an B=u/c Rocket angle with thex axis. The Rocket frame is moving to the right with a speed у уг Ф2 4 x2 В with respect to Lab frame. 5 Lab (a) What angle , does the same meter stick make with the xi axis of the Lab X1 frame, in terms of ? (b)What is the length of the stick, as observed in...
A reference frame S' moves with a constant speed v=0.800c along the x axis relative to a second reference frame S. A particle is observed from reference frame S' to be moving with velocity 0.400c (along the positive x' axis). What would be the velocity of the particle as measured by an observer in reference frame S?
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis for a race parallel to the y axis. Two starters, one beside each runner will fire their pistols at lightly different times, giving a handicap to the faster of the two sprinters. The time difference in the frame S is T (a) For what range of time differences will there be a reference frame Š in which there...
Simultaneous? In a reference frame S two very evenly matched sprinters are lined up a distance L apart along the x axis for a race parallel to the y axis. Two starters, one beside each runner will fire their pistols at lightly different times, giving a handicap to the faster of the two sprinters. The time difference in the frame S is T (a) For what range of time differences will there be a reference frame Š in which there...
The coordinate axes of the reference frame S' remain parallel to those of S, as S' moves away from S at a constant velocity Vç (6.0î 9.0j 7.0k) m/s. (Express your answers in vector form. Use the following as necessary: t. Assume all positions are in meters, velocities are in m/s, accelerations are in m/s, and t is in seconds. Do not include units in your answers.) (a) If at time t 0 the origins coincide, what is the position...
Need help with these two problems. Thanks!
1. Relativistic velocity addition: Consider a universe in which Einstein's postulates and special relativity are valid but the speed of light c 300 miles/hour. A Kia with proper length L and a Bugatti with proper length 2L are racing. The Kia moves at a fixed radar gun. In the Kia's reference frame, both cars have the same length. What is the speed VB of the Bugatti with respect to the radar gun? speed...
9 An inertial frame of reference S' moving to the left with speed 25 ms' moves past another inertial frame S. At time zero the origins of the two frames coincide. a A phone rings at location x=24 m and 1=5.0s. Determine the location of this event in the frame S. b A ball is measured to have velocity -15 ms' in frame S. Calculate the velocity of the ball in frame S.
1. A stick of length L moves past you, parallel to its length, at spee frame, S'. Call the event (front of stick passes you) A, and the event( Find the time interval between the two events in frame S, by work d v. Let your frame be S, and the stick's back of stick passes you), B. (a) ing IN frame S. (b) Now find the time interval in your frame by working in the stick's frame. (c) Now...
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