An object moving in the xy-plane is acted on by a conservative force described b

Globokim8

Globokim8

Answered question

2021-09-26

An object moving in the xy-plane is acted on by a conservative force described by the potential-energy function U(x,y)=α(1x2+1y2) where α is a positive constant. Derivative an expression for the force expressed terms of the unit vectors i and j.

Answer & Explanation

l1koV

l1koV

Skilled2021-09-27Added 100 answers

Rewrite the potential energyU(x,y)=α(1x2+1y2) 
F=(dUdXi^+dU dy j^) 
F=αd dx (1x2+1y2)i^αd dy (1y2)j^ =αd dx (1x2)i^αd dy (1y2)j^ =2α1x3i^+2α1y3j^ 
F=2αx3i^+2αy3j^

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Linear algebra

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?