The potential energy of a body of mass m is U = a x + b y . The magnitude of the acceleration of the body will be

Question

The potential energy of a body of mass m is U = a x + b y . The magnitude of the acceleration of the body will be, a b m, a + b m, a 2 + b 2 m, a 2 + b 2 m

MARKS App · Accepted Answer

We know that U = a x + b y ∂ U ∂ x = ∂ ∂ x a x + b y ∂ U ∂ x = a ∂ U ∂ y = ∂ ∂ y a x + b y ∂ U ∂ y = b F → = ∂ U ∂ x i ^ + ∂ U ∂ y j ^ F → = - a i ^ - b j ^ F = a 2 + b 2

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