If an alpha particle (two protons and two neutrons) is given an initial (nonrelativistic) velocity v at a very far distance and is aimed directly at a gold nucleus (z=79), what is the closest distance d the alpha particle will come to the nucleus? in this problem you can estimate that the mass of the proton mp is equal to the mass of the neutron and only consider the effects of a single gold nucleus. assume that the alpha particle comes close enough so that the nucleus is not substantially screened by inner-shell electrons.

jupiter

explanation:

it is so massive and has such a strong gravitational pull its likely prevented the formation of a planet between itself and mars in the asteroid belt

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stan bts

this is poiselle's equation from fluid mechanic in physics. mech eng

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 .