Given below are two statements: Statement I: An object moves from position r₁ to position r₂ under a conservat…

Question

Given below are two statements:

Statement I: An object moves from position $$\vec{r}_1$$ to position $$\vec{r}_2$$ under a conservative force field $$\vec{F}$$.
The work done by the force is $$W = -\int_{\vec{r}_1}^{\vec{r}_2} \vec{F} \cdot d\vec{r}.$$

Statement II: Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force.

In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

A. Statement I is true but Statement II is false

Answer

B. Statement I is false but Statement II is true

Answer

C. Both Statement I and Statement II are true

Answer

D. Both Statement I and Statement II are false

Answer & step-by-step solution

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