contestada

A potential energy function for a system in which a two-dimensional force acts is of the form U = 3x5y − 3x. Find the force that acts at the point (x, y).

Respuesta :

Answer:

[tex]\overrightarrow{F} = -\left ( 15x^{4}y-3 \right )\widehat{i}-3x^{5}\widehat{j}[/tex]

Explanation:

[tex]U = 3x^{5}y-3x[/tex]

Force is defined as the

[tex]\overrightarrow{F} = -\frac{dU}{dx}\widehat{i}-\frac{dU}{dy}\widehat{j}[/tex]

[tex]\frac{dU}{dx}=15x^{4}y-3[/tex]

[tex]\frac{dU}{dy}=3x^{5}[/tex]

So, force is given by

[tex]\overrightarrow{F} = -\left ( 15x^{4}y-3 \right )\widehat{i}-3x^{5}\widehat{j}[/tex]

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