Question

A cubical room has its each edge of 5m, A fly flies from
one corner (0,0,0) m to another diagonally opposite
corner (5, 5, 5)m. The magnitude of displacement of
the fly is​

Answer 1

Given:

A cubical room has its each edge of 5m, A fly flies from one corner (0,0,0) m to another diagonally opposite corner (5, 5, 5)m.

To find:

Displacement of the fly.

Calculation:

Displacement is a vector characterized by the shortest length between the starting and the stopping point of any object.

So, the displacement in this case be denoted as d:

$\therefore \: d = \sqrt{ {5}^{2} + {5}^{2} + {5}^{2} }$

$= > \: d = \sqrt{25 + 25 + 25}$

$= > \: d = \sqrt{75}$

$= > \: d = \sqrt{25 \times 3}$

$= > \: d =5 \sqrt{ 3} \: m$

So, the displacement of the fly is 5√3 m.