An object is attached to a hanging unstretched ideal and massless spring and slowly lowered to its equilibrium position, a distance of 6.4 cm below the starting point. if instead of having been lowered slowly the object was dropped from rest, how far then would it then stretch the spring at maximum elongation?

        h = 12.8 cm

Explanation:

from the equation we are given the following:

distance = 6.4 cm

        weight = spring force

         mg = ky ... equation 1

        mgh = 0.5 x k x h^{2} equation 2

                kyh =  0.5 x k x h^{2}

                y =  0.5 x h

                2y = h

          h = 2 x 6.4 = 12.8 cm

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

1 a

2 b

3 b

4 d

5 d

6 d

explanation: