Question 17 of 36 University Physics presented by Sepling LeiG Two red blood cel

Question

Question 17 of 36 University Physics presented by Sepling LeiG Two red blood cells each have a mass of 9.05 10 their surfaces. The repulsion kg and carry a negative charge spread uniformly over arising from the excess charge prevents the cells from clumping together be modeled as a sphere 3.75 x 10 m in radius. If the red speed, what initial speed would each need so that they get close enough to just there is no viscous drag from any of the surrounding liquid blood cells start very far apart and move directly toward each other with the same Number m/s What is the maximum acceieration of the cells as they move toward each other and just barely touch? Number m/ s Next-HE xit O PreviousCheck Answer Hint

Explanation / Answer

From conservation of energy

electric PE = KE

k q1q2/(2r) = 2 x 1/2 m v^2

v = sqrt (k q1q2/2mr)

v = sqrt (9 x 10^9 x 2.3 x 10^-12 x 2.9 x 10^-12/(2 x 9.05 x 10^-14 x 3.75 x 10^-6)) = 297.4 m/s

Hence, v = 297.4 m/s

We know that,

F(electric) = ma

k q1 q2/r^2 = m a

a = k q1q2/r^2 m

a = 9 x 10^9 x 2.3 x 10^-12 x 2.9 x 10^-12/(2 x 3.75 x 10^-6)^2 x 9.05 x 10^-14 = 1.18 x 10^10 m/s^2

Hence, a = 1.18 x 10^10 m/s^2

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