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Q.

The potential energy of an object of mass m moving in xy plane in a conservative field is given by U = ax + by, where x and y are position coordinates of the object. Find magnitude of its acceleration:

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a

a2+b2m

b

a2+b2m

c

a2+b2

d

None of these

answer is A.

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Detailed Solution

U = ax + by

F→=-∂U∂xi^−∂U∂xj^=-ai^−bj^

|F→|=a2+b2

 so acc.=a2+b2m

Hence option (1)

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