Alight spring with a force coefficient 10.83 n/m is compressed by 12.7 cm as it is held between a 0.29 kg block on the left and a 0.79 kg block on the right, both resting on a horizontal surface. the spring exerts a force on each of the blocks, tending to push them apart. the blocks are then released from rest.

find the acceleration of each block if the coefficient of friction between the blocks and the surface is:

[note: this question may require you to perform your calculations to a few extra digits of precision to get the answer to within 1%.]

(a) μ = 0: right

(b) μ = 0.158: right

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 .

total distance/total time

(85 + 82)/(5+3)

167/8

20 just over