Evaluate the Work Done Between Point 1 and Point 2

question 161

Multiple Choice

Evaluate the work done between point 1 and point 2 for the conservative field F.
- $$F = 4 \sin 4 x \cos 9 y \cos 7 z i + 9 \cos 4 x \sin 9 y \cos 7 z j + 7 \cos 4 x \cos 9 y \sin 7 z k ; P _ { 1 } ( 0,0,0 ) , P _ { 2 } \left( \frac { 1 } { 2 } \pi , \frac { 2 } { 9 } \pi , \frac { \pi } { 7 } \right)$$

• A) W = 2
• B) W = -2
• C) W = 1
• D) W = 0

---

Definitions:

Lateral Line

A system of sense organs found in aquatic vertebrates, used to detect movements and vibrations in the surrounding water.

Semicircular Canals

Three fluid-filled tubes in the inner ear that are crucial for maintaining balance and sensing motion.

Cochleae

The spiral-shaped, auditory portion of the inner ear responsible for transforming sound into nerve impulses that are sent to the brain.

Ampullae

Bulb-shaped structures, often found in the anatomy of various animals, serving functions such as balance in fish or storage in plants.