Two spheres A and B are placed in the arrangement shown below. (a) If mA =...
Two spheres A and B are placed in the arrangement shown
below.
(a) If mA = 5m and mB = 7m, where on the dashed line should a third
sphere C of mass 7m be placed so that the net force on it is
zero?
at the midpoint between A and B, to the right of A , to the left of
B, between A and B, closer to B, between A and B, closer to A
(b) If the distance between the two spheres A and B is 500 cm,
find the location for the third sphere C so that the net force on
it is zero.
cm to the right of sphere B
Homework Answers
A)
Force, F = GMm/r^2
G ma mc/rca2 = G mb mc/rcb2
rbc/rca = sqrt(mb/ma) = sqrt(7/5) = 1.18
rbc = 1.18 rac
Sphere C must be placed between the spheres B and A and closer to sphere A
B)
rbc/(500 - rbc) = sqrt(7/5) = 1.18
rbc = 591.61 - 1.18 rbc
2.18 rbc = 591.61
rbc = 271.38 cm
Location of sphere C is 271.38 cm from sphere B
Comment in case any doubt please rate my answer....
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