Dracopaul03
28.06.2020 •
Physics
A 30-m-long rocket train car is traveling from Los Angeles to New York at 0.5c when a light at the center of the car flashes. When the light reaches the front of the car. it immediately rings a bell. Light reaching the back of the car immediately sounds a siren.
Part A
Are the bell and siren simultaneous events for a passenger seated in the car?
If not, which occurs first?
Yes, the bell and siren are simultaneous events. No, the siren sounds before the bell rings.
No, the bell rings before the siren sounds.
Part B
Are the bell and siren simultaneous events for a bicyclist waiting to cross the tracks?
If not, which occurs first?
Yes, the bell and siren are simultaneous events.
No, the siren sounds before the bell rings. No, the bell rings before the siren sounds.
Solved
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Ответ:
Given that,
Distance =30 m
speed = 0.5c
(A). We need to find the bell and siren simultaneous events for a passenger seated in the car
According to given data
The distance travelled by the light to reach either side of the rocket train car is same.
So, The two events are simultaneous and the bell and siren are the simultaneous events for a passenger seated in the car.
(B). We need to calculate time interval between the events
Using formula of time dilation
.....(I)
Where, = proper time
= time interval between the events
The time interval between the events measured in a reference frame
The proper time in this case is
For the second interval,
Put the value of in the equation (I)
Put the value in the equation
Negative sign shows the siren rings before the bell ring.
Hence, (A). Yes, the bell and siren are simultaneous events.
(B). The siren sounds before the bell rings.
Ответ: