Find a mathematical model for the verbal statement: The force of attraction $F$ between two oppositely charged particles varies directly as the product of the magnitudes $Q _ { 1 }$ and $Q _ { 2 }$ of the charges and inversely as the square of the distance $d$ between the particles."
A)$B = \frac { k Q _ { 1 } Q _ { 2 } } { d ^ { 2 } }$
B) $B = k Q _ { 1 } Q _ { 2 } d ^ { 2 }$
C) $B = \frac { k Q _ { 2 } } { Q _ { 1 } d ^ { 2 } }$
D) $B = \frac { k Q _ { 1 } } { Q _ { 2 } d ^ { 2 } }$
E)$B = \frac { k d ^ { 2 } } { Q _ { 1 } Q _ { 2 } }$

Question

Quizplus · Accepted Answer

The verbal statement states that force of attraction ($F$) varies directly as the product of magnitudes of charges ($Q_1$ and $Q_2$) and inversely as the square of distance ($d$). Mathematically, this can be represented as $F = k\dfrac{Q_1Q_2}{d^2}$, where $k$ is the constant of variation. This equation is equivalent to choice A, $B = \frac{kQ_1Q_2}{d^2}$.

Find a Mathematical Model for the Verbal Statement: the Force FFF

Find a Mathematical Model for the Verbal Statement: the Force $F$