A small sphere of mass, m “ 250.0 g, carries a charge of q “ ´450.0 µC. It’s tied
to a massless string of length, L “ 8.00 cm, which is tied to a horizontal post at point, P.
There are two very large horizontal plates at y “ ˘12.0 cm. The top plate carries a charge of
σT “ `7.65 pC{cm2
, and the bottom plate carries a charge of σB “ ´7.65 pC{cm2
. The string
is initially stretched and held at an angle of θ0 “ 94.0
˝ with the positive x-axis.

Find:
a) Where will the sphere be 1.25 seconds after it is let go?
b) What is the sphere’s velocity at this instant?
c) If the string breaks at this instant, which plate will the sphere first hit?
d) Where will it hit the plate? (Give the x-coordinate.)
e) What will its velocity be at the instant it hits the plate?

answer: the common difference is -0.10

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

the answer is -1 for this question

step-by-step explanation: