Two twin sisters, Ana and Bia, compare their ages in different travel situations between SP and a city called R, with the distance between the cities given by L. To discuss this problem, suppose that the trips are made in two very long trains . The D train moves to the right, in the direction SP -> R (SD system) while the E train moves to the left, in the R -> SP direction (SE system). The speed modules of the two trains relative to the Earth (ST system) are equal to V. Neglecting the acceleration and deceleration necessary for the reference changes, calculate the age difference between them in each of the situations below: 1 - ) Bia goes from SP to R, where she gets off the train and stands on the platform. Then Ana, who had stayed in SP, takes another train, with speed V ', towards R. When getting off it, in R, the two sisters meet. Calculate the age difference between them as a function of V ' showing the calculation step by step and discuss in which situation in terms of the relationship between V and V ' Ana will be older than Bia and vice versa. 2 - ) Bia goes to R, where she gets off the train and calls Ana, who stayed in SP, arranging to meet again halfway through. Each of them takes a bicycle, whose speed is V ' and leaves towards the meeting point. Calculate showing the step by step calculation the difference in age between them when this meeting occurs. 3 - ) Bia goes to R, gets off the train and walks back to SP, that is, very slowly. Calculate the age difference between them by showing the calculations in detail. 4 - ) Bia arrives at R, but does not leave the outward train, SD frame. At that moment, Ana jumps into this train, and walks through its interior until she finds Bia. Calculate the age difference between them in this situation
Two twin sisters, Ana and Bia, compare their ages in different travel situations between SP and a city called R, with the distance between the cities given by L. To discuss this problem, suppose that the trips are made in two very long trains . The D train moves to the right, in the direction SP -> R (SD system) while the E train moves to the left, in the R -> SP direction (SE system). The speed modules of the two trains relative to the Earth (ST system) are equal to V. Neglecting the acceleration and deceleration necessary for the reference changes, calculate the age difference between them in each of the situations below:
1 - ) Bia goes from SP to R, where she gets off the train and stands on the platform. Then Ana, who had stayed in SP, takes another train, with speed V ', towards R. When getting off it, in R, the two sisters meet. Calculate the age difference between them as a function of V ' showing the calculation step by step and discuss in which situation in terms of the relationship between V and V ' Ana will be older than Bia and vice versa.
2 - ) Bia goes to R, where she gets off the train and calls Ana, who stayed in SP, arranging to meet again halfway through. Each of them takes a bicycle, whose speed is V ' and leaves towards the meeting point. Calculate showing the step by step calculation the difference in age between them when this meeting occurs.
3 - ) Bia goes to R, gets off the train and walks back to SP, that is, very slowly. Calculate the age difference between them by showing the calculations in detail.
4 - ) Bia arrives at R, but does not leave the outward train, SD frame. At that moment, Ana jumps into this train, and walks through its interior until she finds Bia. Calculate the age difference between them in this situation.
Step by step
Solved in 6 steps
