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Q.

The potential energy of a configuration is expressed as  U(x,y)=5x2y. The force acting the particle at (1m,1m,1m) is

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a

-5(i^+j^)

b

-10i^−5j^

c

−5i^-10j^

d

10i^+5j^

answer is B.

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Detailed Solution

F→=−∂U∂xi^−∂U∂yj^−∂U∂zk^F→=−10xy^−5x2j^−0k^At (1,1,1)        F→=−10i^−5j^
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The potential energy of a configuration is expressed as  U(x,y)=5x2y. The force acting the particle at (1m,1m,1m) is