A shop owner measures a suitcase kept on a rack to be 50 cm 25 cm 10 cm . A traveller takes this suitcase on a train travelling with a velocity of 0.6c . If the suitcase is oriented with its length parallel to the train's velocity, determine the dimensions measured by the traveller.

Step-by-step solution

The proper dimensions of the suitcase are measured when it is at rest relative to the observer. The shop owner measures the proper dimensions as 50 cm 25 cm 10 cm . When the traveller takes the suitcase on the train, both the traveller and the suitcase are in the same reference frame. The relative velocity between the traveller and the suitcase is zero. Since there is no relative motion between them, the traveller does not observe any length contraction and measures the proper dimensions of the suitcase. Therefore,