Find the Work Done by the Force Field $\mathbf { F } ( x , y ) = 24 x \mathbf { i } + 12 ( 2 y + 1 ) \mathbf { j }$

question 30

Short Answer

Find the work done by the force field $\mathbf { F } ( x , y ) = 24 x \mathbf { i } + 12 ( 2 y + 1 ) \mathbf { j }$ in moving an object along an arch of the cycloid $\mathbf { r } ( t ) = ( t - \sin ( t ) ) \mathbf { i } + ( 1 - \cos ( t ) ) \mathbf { j } , 0 \leq t \leq 2 \pi$

---

Definitions:

Procedural Memories

The type of long-term memory responsible for knowing how to do things, also known as motor skills, involving the learning of tasks.

Infantile Amnesia

The inability of adults to recall personal memories from early childhood, typically before the age of three or four.

Explicit Memories

Memories of specific facts and experiences that individuals can consciously know and declare.

Implicit Memories

Concerns memories that are unconsciously and automatically retrieved, influencing thoughts and behaviors without explicit awareness.