Two red blood cells each have a mass of 9.05x10-14 and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -2.70 pC and the other -3.30 pC, and each cell can be modeled as a sphere 3.75x10-6 m in radius. If the red blood cells start very far apart and move directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely touch? Assume that there is no viscous drag from any of the surrounding liquid. a) initial speed: ? m/s What is the maximum acceleration of the cells as they move toward each other and just barely touch? b) maximum acceleration: ? m/s²

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Two red blood cells each have a mass of 9.05×10-14 and
carry a negative charge spread uniformly over their
surfaces. The repulsion arising from the excess charge
prevents the cells from clumping together. One cell
carries -2.70 pC and the other -3.30 pC, and each cell
can be modeled as a sphere 3.75x10-6 m in radius. If the
red blood cells start very far apart and move directly
toward each other with the same speed, what initial
speed would each need so that they get close enough to
just barely touch? Assume that there is no viscous drag
from any of the surrounding liquid.
a) initial speed: ? m/s
What is the maximum acceleration of the cells as they
move toward each other and just barely touch?
b) maximum acceleration: ? m/s²
Transcribed Image Text:Two red blood cells each have a mass of 9.05×10-14 and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -2.70 pC and the other -3.30 pC, and each cell can be modeled as a sphere 3.75x10-6 m in radius. If the red blood cells start very far apart and move directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely touch? Assume that there is no viscous drag from any of the surrounding liquid. a) initial speed: ? m/s What is the maximum acceleration of the cells as they move toward each other and just barely touch? b) maximum acceleration: ? m/s²
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