6 Grade book Attempts score T Not set G56 8/100 C Print Calculator Period Table

Question

6 Grade book Attempts score T Not set G56 8/100 C Print Calculator Period Table sapung Learning charge magnitudes q and a distance rapart. In this arrangement, each point charge experiences a magnitude F In the three scenarios below, q, Q, and changed to some multiple of their original values. In each case, fill in the missing value on one of the variables that will result in a force between the point charges that is equal in magnitude to the original F. [original q r scenario 1 1q scenario 2 60 scenario 3 (18/5)Q (81/625) (1/12) 15 1 16 1 ne Previous Check Arswer 0 Next HExit O Hel O Weel OTecl

Explanation / Answer

Force F = KQq/r 2

(a) q ' = q

Q ' = ?

r ' = 3r

Force F = Kq ' Q ' / r ' 2

=K(q)(Q')/(3r) 2

KQq/r 2 = (1/9) KqQ '/r 2

   Q = (1/9)Q '

Q ' = 9Q

(b).

q ' = ?

Q ' = 6Q

r ' = r/2

Force F = Kq ' Q ' / r ' 2

=K(q ')(6Q)/(r/2)2

KQq/r 2 = (6/4) Kq 'Q /r 2

q = (6/4)q '

q ' = (4/6)q

(c).

q ' = (1/10)q

Q ' = (18/5)Q

r ' = ?

Force F = Kq ' Q ' / r ' 2

=K(q/10)((18/5)Q)/(r ') 2

KQq/r 2 = (18/50) KqQ /r ' 2

r' 2 =(18/50) r 2

r ' = (6/10) r

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