a-boulder-experiences-2d-forces-that-vary-with-position-according-to-f-x-the-pos

Question

A boulder experiences 2D forces that vary with position according to F = [xy i + (1/2)x² j] N. The positions x, and y are in m. State (with reason) if the force is conservative.

Accepted Answer

The force is conservative since (d/dy)F(x) = (d/dx)F(y) = x

Answer

The force is non-conservative since (d/dy)F(x) = (1/2)xy² ≠ (d/dx)F(y) = (3/2)x³

Answer

The force is conservative since (d/dy)F(x) = (d/dx)F(y) = xy

Answer

The force is conservative since (d/dy)F(x) = (d/dx)F(y) = y

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A boulder experiences 2D forces that vary with position according to F = [xy i + (1/2)x² j] N. The positions x, and y are in m. State (with reason) if the force is conservative.

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

A boulder experiences 2D forces that vary with position according to F = [xy i + (1/2)x2 j] N. The positions x, and y are in m. State (with reason) if the force is conservative.

A boulder experiences 2D forces that vary with position according to F = [xy i + (1/2)x² j] N. The positions x, and y are in m. State (with reason) if the force is conservative.