Two waiters are trying to get through a single door of a kitchen. one pushes on one side of a door 0.567 m from the hinge with a force of 257 n perpendicular to the door, the other pushes from the other side of the door 0.529 m from the hinge. the door doesn't move. with what perpendicular force is the second waiter pushing on the door?

Explanation:

= Force on one side of the door by first waiter = 257 N

= Force on other side of the door by second waiter

= distance of first force by first waiter from hinge = 0.567 m

= distance of second force by second waiter from hinge = 0.529 m

Since the door does not move. hence the door is in equilibrium

Using equilibrium of torque by force applied by each waiter

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 .

answerscientific theory;