Team **Space Chemistry** has summarized examples of the Galileo Transformation and its Solution for Students from various book publishers, totaling 10 items. In helping the quality of education in Indonesia, we always contribute so that students can learn and understand the calculation of questions related to the material from the Galileo transformation (Part of the Special Theory of Relativity

## 1 – 10 Galileo Transformation Questions and Answers

1. A passenger of a train traveling at 20 m/s passes a man standing on the station platform at t’ = t = 0. Ten seconds after the train passes him, the man on the platform sees a bird flying in the same direction along the track that has traveled 400 m. what are the bird’s coordinates from the passenger side of the train?

#### Discussion

2. An observer who is at rest with respect to the earth observes a collision. A particle with mass m_{1} = 5 kg moving with speed u_{1 }= 2 m/s along the x-axis approaching the second particle of mass m_{2} = 1 kg moving with speed u_{2} = -4 m/s along the x-axis. After the collision, the observer finds that m_{2} has a speed of 4 m/s along the x-axis. Determine the speed m_{1} after the collision!

#### Discussion

3. A car without a roof is moving at 200 ft/s and carrying a girl who is throwing a ball up at a speed of 10 ft/s. Write the equation of motion (position as a function of time) for the ball if it is observed by:

a. The girl

b. An observer standing on the side of the road.

#### Solution

4. The Michelson–Morley experiment uses an interferometer with arms 12 m long and sodium light with a wavelength of 5900 . The experiment will reveal a change of 0.005 edges. What is the upper limit that the etheric earth’s velocity can produce? If it is known that N is 0.005.

#### Solution

5. From problem number 2, the second observer O’, who is walking along the x-axis at a speed of 2 m/s relative to the earth observes the collision event described in problem number 2 above. How do you observe the momentum of the system before and after the collision?

#### Discussion

Thus, through the Galileo transformation O’ finds that the magnitude of the momentum is constant momentum

6. The space-time coordinates for the two events measured by observer O are X_{1} = 6 x 10^{4} m, Y_{1} = Z_{1} = 0 m, t’_{1} = 2 x 10^{4} s and X_{2} = 12 x 10^{4} m, Y_{2} = Z_{2} = 0 m, t_{2} = 1 x 10^{-4} What should be the velocity of O’ with respect to O’ if O’ finds both events occurring simultaneously?

#### Solution

7. When observed by O, a flash is activated at points x = 200 km, y = 40 km, z = 5 km at t = 8 x 10^{-4} what are the x’,y’,z’ and t’ coordinates of this event when viewed by a second observer O’, who is moving relative to O with a speed of -0.8 c along the x-x’ axis?

#### Discussion

According to lorentz transformation

8. Mention Einstein’s first and second postulates!

#### Discussion

*1st postulate of special relativity** :* “The laws of physics have the same form in all frames of reference moving at a constant speed (inertial frames of reference)”.

** The second postulate of special relativity:** “Light travels through a vacuum with a speed of c = 3.0 x 10

^{8}m/s, and the speed of light does not depend on the speed of the light source or the speed of the observer.

9. Referring to problem number 1, five seconds after making the first coordinate measurement, the man on the platform marks that the bird has traveled 450 m. what is the speed of the bird (assume constant) with respect to the platform man and the train passengers.

#### Solution

10. Suppose that a particle moves relative to O’ with a constant speed of c/2 in the x’,y’ plane such that its trajectory forms 60° about the x’ axis. If the velocity O’ with respect to O is 0.6 c along the x-x’ axis, find the equation of motion for the particle from O’s point of view.

#### Solution

The equations of motion determined by O’ are