Ann performs 40 J of work by pushing an object 10 m with a force of 4 N. Liz performs 40 J of work by pushing an object 4 m with a force of 10 N. Describe the relationship that is demonstrated by this example.

The work done by a force is equal to the product of the force in the direction of displacement of the object and the distance moved by the object.

Explanation:

Work (a measurement of energy) is said to be done when a force applied to an object results in the movement of that object to a certain distance and direction. Displacement is the distance covered by an object as a result of the force applied to it.

The work done (W) by a constant force (F) is equal to the product of the force in the direction of displacement of the object and the distance (d) moved by the object i.e., W = F * d.

In the given example, Ann performs 40 J of work by pushing an object 10 m with a force of 4 N. Here, the force applied to the object is 4 N and the displacement of the object is 10 m. Hence, the work done is, W = 4 × 10 = 40 Joules.

Liz performs 40 J of work by pushing an object 4 m with a force of 10 N. In this example, the force applied to the object is 10 N and the displacement of the object is 4 m. Hence, the work done is, W = 10 × 4 = 40 Joules.

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 .