Physics, 10.10.2019 00:30 kv34

Identify the forces acting on the object of interest. from the list below, select the forces that act on the piano. check all that apply. check all that apply. acceleration of the piano gravitational force acting on the piano (piano's weight) speed of the piano gravitational force acting on chadwick (chadwick's weight) force of the floor on the piano (normal force) force of the piano on the floor force of chadwick on the piano force of the piano pushing on chadwick

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Answer from: garrettrhoad

gravitational force acting on the piano (piano's weight)

force of the floor on the piano (normal force)

force of Chadwick on the piano

Explanation:

There is a missing part to this question - found on google:

"Chadwick is pushing a piano across a level floor. The piano can slide across the floor without friction. Chadwick applies a horizontal force to the piano.

Identify the forces acting on the object of interest. From the list below, select all the forces that act on the piano.

acceleration of the piano

gravitational force acting on the piano (piano's weight)

speed of the piano

gravitational force acting on Chadwick (Chadwick's weight)

force of the floor on the piano (normal force)

force of the piano on the floor

force of Chadwick on the piano

force of the piano pushing on Chadwick"

Solution:

We have only three forces acting on the piano:

- The horizontal push, which is applied by Chadwick, and which is responsible for the piano accelerating along the floor

- The weight of the piano, W=mg (where m= mass of the piano and g=acceleration of gravity), acting downward. The force of gravity is always present for object on the Earth's surface

- The normal reaction of the floor on the piano, N, which is equal in magnitude and opposite in direction to the force of gravity

So the only choices in the list that are correct are:

gravitational force acting on the piano (piano's weight)

force of the floor on the piano (normal force)

force of Chadwick on the piano

The other choices are wrong because:

- The speed of the piano and the acceleration of the piano are not forces

- The forces acting on Chadwick are not acting on the piano, so we don't consider them

- The forces acting on the floor are not acting on the piano, so we also don't consider them

Answer from: Quest

Efficiency is an act of doing something

Answer from: Quest

we have been given a quadratic function $f(x)=(x-5)^{2} +2$ 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 $[2,\infty)$ .

if we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

let us know find its inverse.

$y=(x-5)^{2}+2$

upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

let us now solve this function for y.

$(y-5)^{2}=x-2\\ y-5=\pm \sqrt{x-2}\\ y=5\pm \sqrt{x-2}\\$

hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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