Question

A particle moves along a curve of unknown shape but magnitude of force $\overrightarrow{F}$ is constant and always acts along the tangent to the curve. Then,

• A. $\overrightarrow{F}$ must be conservative
• B. $\overrightarrow{F}$ may be conservative
• C. $\overrightarrow{F}$ must be non-conservative
• D. $\overrightarrow{F}$ may be non-conservative

Answer 1

The correct option is C $\overrightarrow{F}$ must be non-conservative

Here, the force is tangential to the curve, hence the work done depends on path. Therefore, force $\overrightarrow{F}$ must be non- conservative.
Hence, the correct answer is option (c).