Q.

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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a

(100i^−20j^)m/s2

b

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

c

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

d

zero

answer is A.

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Detailed Solution

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)