A floating ball has a density (P») of 600 kg/m' and has a radius (R) of...

A floating ball has a density (P») of 600 kg/m' and has a radius (R) of 0.055 m. The equation that

gives the depth (x) to which the ball is submerged under water with a density (Pw) of 1000 kg/m

is given by:4

4/3*pi*R^3*pb*g=pi*x^2(R_x/3)*Pw*g

where the gravitational acceleration g = 9.81 m/s.

a) Use the false-position method to find the depth x to

which the ball is submerged under water within an

interval [0, 0.1]? Conduct three iterations only and find

the absolute relative approximate error at the end of

each iteration?

Water

Note: Summarize your results in one table and show one complete sample of calculations for one

iteration only.

b) If you would change the previous method to an open domain method to find the depth x; what

method would you select? Explain briefly (in English and without calculations), what would

you do and how would you do the computations.

Solutions

Expert Solution

samet mamat answered 3 months ago

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