Problem 16.14 PLEASE EXPLAIN THIS IS A PRACTICE HOMEWORK PROBLEM SIMILAR ONES WI
ID: 582469 • Letter: P
Question
Problem 16.14 PLEASE EXPLAIN THIS IS A PRACTICE HOMEWORK PROBLEM SIMILAR ONES WILL BE ON TEST! THANKS
A charge of 2.15 mC is placed at each corner of a square 0.380 m on a side.
Part A Determine the magnitude of the force on each charge.
Part B Determine the direction of the force on a charge. Determine the direction of the force on a charge.
a.along the line between the charge and the center of the square toward the center
b.along the side of the square toward the other charge that lies on the side
c.along the line between the charge and the center of the square outward of the center
d.along the side of the square outward of the other charge that lies on the side
Explanation / Answer
the force on q1 a charge due to q2 is F1 = k*q1*q2/r^2 = (9*10^9*2.15^2*10^-6)/(0.38^2) = 2.88*10^5 N
the force on q1 due to q3 is also same as F1,then F2 = F1 =2.88*10^5 N
the force on q1 due to q4 is F3 = (k*q1*q4)/(2*r^2) = F1/2 = 1.44*10^5 N
net force of F1 and F2 is F12 = sqrt(F1+F2^2) = sqrt(2)*F1 = 1.414*2.88*10^5 = 4.1*10^5 N
total net force is Fnet = F12+F3 = (1.44+4.1)*10^5 = 5.54*10^5 N
Part B) Fnet is along the diagonal
so the answer is
c.along the line between the charge and the center of the square outward of the center