Question

The potential energy for a force field $\left( 0 , \frac { \pi } { 4 } \right)$ is –

• A. – $\frac { 1 } { \sqrt { 2 } }$ (+ )
• B. $\frac { 1 } { \sqrt { 2 } }$ ( + )
• C.
• D.

Answer 1

Answer: (B)

$\frac { 1 } { \sqrt { 2 } }$ ( + )

Answer 2

$\vec { \Delta }$U

= – cos (x + y)

= –cos (x + y) $\hat { \mathbf { i } }$ – $\frac { \delta } { \delta y }$ cos (x + y) – $\frac { \delta } { \delta z }$ cos (x + y)

= sin (x + y) + sin (x + y)

x = 0, y = $\frac { \pi } { 4 }$

= sin $\frac { \pi } { 4 }$ $\hat { \mathbf { i } }$ + sin $\frac { \pi } { 4 }$

= $\frac { \hat { \mathrm { i } } } { \sqrt { 2 } }$ +