A particle is moved from O(0,0) to P(a,a) under a constant force $\vec{F}$ =(3î+4ĵ) along two paths: path 1 is OP and path 2 is OQP, as shown. Let W₁ and W₂ be the corresponding works. Then:
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Question

A particle is moved from O(0,0) to P(a,a) under a constant force $\vec{F}$ =(3î+4ĵ) along two paths: path 1 is OP and path 2 is OQP, as shown. Let W₁ and W₂ be the corresponding works. Then:

Options

G1 Physics · Accepted Answer

The force is constant, so work depends only on the endpoints: W=F⃗·(a î+a ĵ)=7a for either path. Hence W₁=W₂, option A.

A particle is moved from O(0,0) to P(a,a) under a constant force F ⃗ \vec{F} F =(3î+4ĵ) along two paths: path 1 is OP and path 2 is OQP, as shown. Let W₁ and W₂ be the corresponding works. Then: