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The gravitational potential energy in a region of space is given by $U (x, y) = - 3 x^{2} y + xy$ . Find the acceleration of a particle of mass 100g at (1,2)

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(100i^−20j^)m/s2

(100i^+10j^)m/s2

(100i^+20j^)m/s2

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detailed solution

Correct option is A

Fx=−∂U∂x,Fy=−∂U∂y ax=Fxm=100m/s2ay=Fym=20m/s2

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The gravitational potential energy in a region of space is given by U(x,y)=−3x2y+xy. Find the acceleration of a particle of mass 100g at (1,2)

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The gravitational potential energy in a region of space is given by $U (x, y) = - 3 x^{2} y + xy$ . Find the acceleration of a particle of mass 100g at (1,2)