The conditions that the sum of forces and the sum of the torques both vanish: (a) gold for every solid body in equilibrium (b) are sufficient to calculate the forces on a solid object in equilibrium only if the object is elastic (c) are always sufficient to calculate the forces on a solid object in equilibrium (d) hold for every solid body (e) hold only for elastic solid bodies in equilibrium

answer and explanation;

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.

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 .