A)a child of mass 35 kg is sitting on the seat of a swing, suspended from a rigid bar on ropes that are 2.0 m long. calculate the moment of inertia of the child with respect to the bar about which the swing rotates. b) two very thin concentric circular hoops of mass 0.20 kg and 0.30 kg have radi of 1.5 m and 0.90 m respectively. they are connected by rigid links of negligible mass such that they lie in the same plane. calculate the system's moment of inertia about an axis through the centre and perpendicular to the plane of the hoops. c)two charges of +2.0 uc and +3.0 uc are held fixed at the lower two corners of an equilateral triangle of side length 1.0 m, in a vacuum. how much energy is required to move a point charge of -4.0 uc from a point midway between the other two charges to the apex of the triangle?

dopamine..

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unbalanced force

explanation:

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .