Answer
Given:
Wavelength = λ = 18.7 cm
= 0.187 m
Amplitude, A = 2.34 cm
Velocity, v = 0.38 m/s
A) Calculate the angular frequency.
Angular frequency,
ω = 2π f
ω = 2π x 2.03
ω = 12.75 rad/s
B) Calculate the wave number:
C)
Since the wave is traveling in the -x direction, the sign is positive between x and t
y (x, t) = A sin(k x - ω t)
y (x, t) = 2.34 sin(33.59 x - 12.75 t)
A) 16.1 N
The force of electricity acting between the corks can be calculated using Coulomb's law:
where
k represents Coulomb's constant
denotes the charge magnitude on the first cork
indicates the charge magnitude on the second cork
r = 0.12 m is the distance separating the corks
By inserting the values into the formula, we arrive at
B) Attractive
<pas per="" coulomb="" law="" the="" orientation="" of="" electric="" force="" between="" two="" charged="" entities="" relies="" on="" their="" charge="" signs.=""><pmore specifically="">- when both are similarly charged (e.g. positive-positive or negative-negative), the force is repulsive
- when charges are of opposite signs (e.g. positive-negative), the resulting force is attractive
<pin this="" case="" we="" have="">Cork 1 holds a positive charge
Cork 2 possesses a negative charge
<pthus the="" force="" acting="" between="" them="" is="" attractive.="">C)
The total charge of the negative cork is
D)
The overall charge on the positive cork is