The force (f) needed to stretch a spring by a distance x is
given by the equation f = k·x, where k is the spring
constant (measured in newtons per centimeter, or n/cm).
if a 12 newton force stretches a certain spring by 10 cm,
calculate each of the following. round your answers to the
nearest tenth.
a. the spring constant. k =
n/cm
b. the force needed to stretch the spring by 7 cm. f =
n
c. the distance the spring would stretch with a 23 n force. x =
cm

(a) 1.2 N/cm

(b) 8.4 Newtons

(c) 19.2 cm

Explanation:

Since the formula is already given as Force=K*x then and

(a)

Substituting F with 12 N and x with 10cm we obtain

(b)

Using spring constant obtained in part (a) then K=0.12 N/cm and x is given as 7cm then

Force=k*x=1.2 N/cm*7 cm=8.4 Newtons

(c)

and F is given as 23 N and using same spring constant

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

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 .