Solved: (a) Is the force where C is a negative constant

Chapter 7, Problem 84P

(choose chapter or problem)

QUESTION:

(a) Is the force $\vec{F}=C y^{2} \hat{j}$, where C is a negative constant with units of $\mathrm{N} / \mathrm{m}^{2}$, conservative or nonconservative? Justify your answer.

(b) Is the force $\vec{F}=C y^{2} \hat{j}$, where C is a negative constant with units of $\mathrm{N} / \mathrm{m}^{2}$, conservative or nonconservative? Justify your answer.

Equation Transcription:

$\vec{F}$ $=C{y}^{2}$ $ĵ$

$N/{m}^{2}$

$\vec{F}$ $=C{y}^{2}$ $ĵ$

$N/{m}^{2}$

Text Transcription:

Vec F=Cy^2ĵ

N/m^2

F=Cy^2ĵ

N/m^2

Questions & Answers

QUESTION:

(a) Is the force $\vec{F}=C y^{2} \hat{j}$, where C is a negative constant with units of $\mathrm{N} / \mathrm{m}^{2}$, conservative or nonconservative? Justify your answer.

(b) Is the force $\vec{F}=C y^{2} \hat{j}$, where C is a negative constant with units of $\mathrm{N} / \mathrm{m}^{2}$, conservative or nonconservative? Justify your answer.

Equation Transcription:

$\vec{F}$ $=C{y}^{2}$ $ĵ$

$N/{m}^{2}$

$\vec{F}$ $=C{y}^{2}$ $ĵ$

$N/{m}^{2}$

Text Transcription:

Vec F=Cy^2ĵ

N/m^2

F=Cy^2ĵ

N/m^2

ANSWER:

Solution 84P

Step 1 of 7:

For a conservative force, the work done by the force must not dependent on the path followed between two points. Whereas in case of non conservative force, the work done by the force depends on path followed.

work done.png