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A room has dimensions `3 m xx 4 m xx5 m. A fly starting at one cronet ends up at the diametrically opposite corner. (a) What is the magnitude of its displacement ? (a) What is the magnitude of its displacement ? (b) If the fly wer to walk, what is the length of the shortest pothe it cantake ? |
Answer» (a) if the startong point of fly which is one corner of room is taken as origin of coordinates,then the coordinates of diametrically opposite corner of room are ( 3, 4, 5,). So displacement is ` vec r =3 hat I + 4 hat j + 5 hat k` and ` r = sqrt(3^(2) +4^(2) + 5^(2)) =sqrt 50 ~~7 m` (b) When the fly were to walk, then shortest distance travelled is ` =3 + sqrt ( 4^(2) + 5^(2)) =3 sqrt 41 =.4 m`. |
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