At one instant, a mass (m = 1.5 kg) is at the location ‹ 0.27, -0.23, 0 › m and attached to one end of a spring with a spring stiffness ks = 60 N/m and a relaxed length L0 = 0.22 m. The origin is located where the other end of the spring attaches to the ceiling. Stretched_nolabels (a) Determine the force acting on the mass due to the spring.

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 .

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation