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Damped Oscillations

A straight ra...

Question

A straight railway track has trains plying on it at a constant speed of $100 k m / h .$ Two trains which are one after another pass a certain point on the track at an interval of $6 min$ . On a straight road parallel to the track, a car is moving in the same direction as the trains, at a speed of $60 k m / h .$ At what time interval (in minute) the consecutive trains pass by the car?

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Solution

Given,
Separation between trains
$= 100 k m / h \times 6 min$
Now speed of trains relative to car
$= 100 - 60 = 40 k m / h$
If $t$ is the interval of time passing through car, then
$40 \times t = 100 \times 6$
$t = \frac{100}{40} \times 6 min$
$= 15 min$

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Damped Oscillations

Standard XII Physics

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