Posted by **hannah ** on Tuesday, January 19, 2010 at 11:00pm.

A room has dimensions 3.00 m (height) 3.70 m 4.30 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) Could the length of its path be less than this magnitude? (c) Greater than this magnitude? (d) Equal to this magnitude? (e) Choose a suitable coordinate system and express the components of the displacement vector in that system in unit-vector notation. (f) If the fly walks rather than flies, what is the length of the shortest path it can take? (Hint: This can be answered without calculus. The room is like a box. Unfold its walls to flatten them into a plane.)

- physics -
**drwls**, Wednesday, January 20, 2010 at 1:10am
(a) If one corner is on the ceiling and the opposite corner is on the floor, the straight-line distance between them is

sqrt (a^2 + b^2 + c^2) = 6.417 m

(b) How could it?

(c) Suppose it did not fly in a straight line. Then what?

(d) Can the magnitude equal the magnitude? Does 2 = 2?

(e) 2.00i + 3.70 j + 4.30 k

(f) Take the hint. There are two possible short routes to the far corner; the path length depends upon which nonadjacent wall the fly walks to first.

One route gives a minimum length of

sqrt[(4.3+3)^2 +3.7^2] = 8.18 m

and the other has a minimum length of

sqrt[(3.7+3)^2 +4.3^2] = 7.96 m

## Answer This Question

## Related Questions

- Math - A room has dimensions 2.24 m (height) × 5.30 m × 6.55 m. A fly starting ...
- math (calculus) - A room has dimensions 2.24 m (height) × 5.30 m × 6.55 m. A fly...
- Physics - A room has dimensions 3m(height) X 3.7m X 4.3m. A fly starting at one ...
- physics - a fly moves from one corner of the floor of a room and you are ...
- physics - a fly moves from one corner of the floor of a room and you are ...
- physics - A +1.4-nC point charge is placed at one corner of a square (1.8 m on a...
- Physics - A +1.3-nC point charge is placed at one corner of a square (1.1 m on a...
- physics - A fly lands on one wall of a room. The lower left-hand corner of the ...
- geometry - a rectangular patio is 13 feet by 84 feet. In walking from one corner...
- Physics - Identical point charges of +1.1 ¦ĚC are fixed to three of the four ...

More Related Questions