1) A triangle with equal sides of length 0.70 ×10^3 mhas -2.5-C charged objects
ID: 1406432 • Letter: 1
Question
1) A triangle with equal sides of length 0.70 ×10^3 mhas -2.5-C charged objects at each corner.
Determine the magnitude of the electrical force exerted on the object at the top corner due to the two objects at the base of the triangle.
2) Two charged objects exert a 4.6-N force on each other when separated by 1.4 m
Find the product of the two charges.
3) Coulomb's law for the magnitude of the force Fbetween two particles with charges Q and Qseparated by a distance d. Consider two point charges located on the x axis: one charge, q1 = -18.0 nC , is located atx1 = -1.705 m ; the second charge,q2 = 38.0 nC , is at the origin (x=0.0000)
What is the net force exerted by these two charges on a third charge q3 = 49.5 nC placed between q1and q2 at x3 = -1.165 m ?
For this one, I got the answer -4.1x10^-5 but it is wrong.
Explanation / Answer
3)
q1 exerts a force of attraction on q3 towards -x axis
r13 = 1.705-1.165 = 0.54 m
F13 = k*q1*q3.r13^2 = (9*10^9*18*10^-9*49.5*10^-9)/(0.54^2)
F13 = -2.8*10^-5 N
q2 exerts a force of repulsion on q3 qcting towards -X axis
F23 = -(k*q2*q3)/r13^2
F23 = -(9*10^9*49.5*10^-9*38*10^-9)/1.165^2 = - 1.2*10^-5 N
F3 = -4.0*10^-5 N
magnitude = 4.0*10^-5 N
the answer you got is correct
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