Tom is on a bus that is moving with constant speed in the +x direction while Fred is standing on the sidewalk. Both Fred and Tom are holding identical metersticks. As seen on Fred's frame of reference, Tom's meterstick is only 0.8 m long. What is the speed of the bus relative to the sidewalk?
edit : rest length of meterstick is = 1 m long
|
|
|
|
|
Ans: We know by length contraction the lengths in moving frames will appear shorter by Lorentz factor.
Here true length is l = 1 m
and observed length is l' = 0.8 m
Therefore,
Therefore option A is correct.
Tom is on a bus that is moving with constant speed in the +x direction while...
A person is walking with constant speed vW , with respect to a moving sidewalk at O'Hare. He is walking in the same direction as the moving sidewalk which has speed vMS with respect to the stationary floor of O'Hare. The time it takes him to walk the length D of the moving sidewalk is tForward . For some unknown reason, once he gets off the moving sidewalk, he turns around and walks in the opposite direction of the moving...
03.4 When walking on a moving sidewalk in the same direction the sidewalk is moving, you take 24 s to go the length of the sidewalk. When walking on the sidewalk in the opposite direction to its motion, you take 36 s to return to your starting point. Your walking speed on fixed ground is 1.5 m/s. How long is the moving sidewalk and how fast is it moving?
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.
piloting a state-of-the-art spaceship to α Centauri, which is a star about 4 lightyears away as measured from Earth. Your ship cruises at a speed of 0.6c. For this problem, you can assume that Earth and a Centauri are at rest with respect to each other. At your journey's midpoint, you decide to send a souvenir package to your folks back home. You launcha probe back to Earth at a speed of v 0.8c from your perspective. a. How long...
A -4.70 μCμC charge is moving at a constant speed of 6.60×105 m/sm/s in the +x−direction+x−direction relative to a reference frame. At the instant when the point charge is at the origin, what is the magnetic-field vector it produces at the following points. 1-x=0.500m,y=0x=0.500m,y=0, z=0 2-x=0x=0, y=0.500my=0.500m, z=0 3-x=0.500mx=0.500m, y=0.500my=0.500m, z=0 4-x=0x=0, y=0y=0, z=0.500m
3. A particle of rest mass m moving in the a direction at a speed of c/3 abruptly decays electromagnetically, yielding two photons. From the perspective of the home frame, the photon moving in the positive r direction is more energetic than the photon moving in the negative r direction - (a) Determine the energies and frequencies of both photons in the rest frame of the decaying particle. -(b) Using Lorentz transformations, determine the energies and frequencies of both photons...
A -5.00uC point charger is moving at a constant speed of 7.00 x 106 m/s in the +x-direction relative to a reference frame. At the instant when the point charge is at the origin, what is the magnetic field vector it produces at the point P(0.300 m, 0.400 m, 0m)?
A -4.80 μC charge is moving at a constant speed of 6.90×105 m/s in the +x−direction relative to a reference frame. At the instant when the point charge is at the origin, what is the magnetic-field vector it produces at the following points. Part A: x=0.500m,y=0, z=0 Part B: x=0, y=0.500m, z=0 Part C: x=0.500m, y=0.500m, z=0 Part D: x=0, y=0, z=0.500m
Relative Math Your friend flies from Los Angeles to New York. He determines the distance using the tried-and-true d vt. You and your assistants on the ground surveying equipment. also measure the distance, using meter sticks and a. Who, if anyone, measures the proper length? b. Who, if anyone, measures the shorter distance? A rocket travels at speed 0.5c relative to the earth. a. The rocket shoots a bullet in the forward direction at speed 0.5c relative to the rocket....
A "moving sidewalk" in an airport terminal building moves at a speed of 1.4 m/s and is of length 35.0 m . A woman steps on at one end and walks at a speed 1.7 m/s relative to the moving sidewalk. How much time does she require to walk from one end to the other if she walks opposite to the direction the sidewalk is moving? Express your answer using two significant figures.