Find the work done (in ft-lb) when a constant force F = 18 lb moves a chair from x = 0.6 to x = 1.4 ft.

The work done is 14.4 lb-ft

Explanation:

Given;

constant force, F = 18 lb

initial position of the chair, x₁ = 0.6 ft

final position of the block, x₂ = 1.4 ft

Work is said to be done, when an applied force moves an object through a distance.

W = F x d

where;

F is the applied force

d is the distance moved by the object

Distance moved by the object, d = x₂ - x₁

d = 1.4ft - 0.6 ft

d = 0.8 ft

W = F x d

W = 18 lb x 0.8 ft

W = 14.4 lb-ft

Therefore, the work done is 14.4 lb-ft

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 .

the components of a vector are the parts of the vectors that are to each other.

b perpendicular