what is conservative force? Prove that the following force is conservative.

Question : What is conservative force? Prove that the following force is conservative.\[\vec{F_1}=\left(x^2-y^2+x\right)\hat{i}-\left(2xy+y\right)\hat{j}\]Solution : Conservative Force : A force field vector F written as\[\vec{F\left(x,y,z\right)}=f_1\left(x,y,z\right)\hat{i}+f_2\left(x,y,z\right)\hat{j}+f_3\left(x,y,z\right)\hat{k}\]which is defined within a simply connected space or volume is known as a conservative force if…

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