67. Electrostatic force The magnitude of the electrostatic forcebetween two point charges Q and q of the same sign is given byF(x) = kQq/x2, where x is the distance (measured in meters)between the charges and k = 9 * 109 N-m2/C2is a physicalconstant (C stands for coulomb, the unit of charge; N stands fornewton, the unit of force).a. Find the instantaneous rate of change of the force with respectto the distance between the charges.b. For two identical charges with Q = q = 1 C, what is theinstantaneous rate of change of the force at a separation ofx = 0.001 m?c. Does the magnitude of the instantaneous rate of change of theforce increase or decrease with the separation? Explain
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
67. Electrostatic force The magnitude of the electrostatic force
between two point charges Q and q of the same sign is given by
F(x) = kQq/x2, where x is the distance (measured in meters)
between the charges and k = 9 * 109 N-m2/C2
is a physical
constant (C stands for coulomb, the unit of charge; N stands for
newton, the unit of force).
a. Find the instantaneous rate of change of the force with respect
to the distance between the charges.
b. For two identical charges with Q = q = 1 C, what is the
instantaneous rate of change of the force at a separation of
x = 0.001 m?
c. Does the magnitude of the instantaneous rate of change of the
force increase or decrease with the separation? Explain
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