The distance travelled by the ball is 25 m.
The displacement of the ball is 5 m.
The average speed of the ball is 0.357 m/s.
The average velocity of the ball is 0.071 m/s.
What is the distance travelled by the ball?
The distance travelled by the ball is calculated as follows;
distance = 10 m + 15 m = 25 m
The displacement of the ball = Δx
where;
Δx is change in positiondisplacement = 15 m - 10 m = 5 m
The average speed of the ball is calculated as;
average speed = total distance / total time
average speed = (25 m ) / (60 s + 10 s ) = 0.357 m/s
The average velocity of the ball is calculated as;
average velocity = total displacement / total time
average velocity = (5 m ) / (60 s + 10 s ) = 0.071 m/s
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5. Find the resonance frequency Æ0 in Hz of a series LRC circuit with L=0.030H, C=1.0*10^-9, and R=1000 Ω.
The resonance frequency Æ0 is 318309.89 Hz. The resonance frequency of a series LRC circuit is given by the formula [tex]Æ0 = 1/(2π√(LC))[/tex].
Substituting the given values, we get [tex]Æ0 = 1/(2π√(0.030H x 1.0*10^-9F))[/tex] = [tex]318309.89 Hz[/tex]. This means that when an AC voltage is applied to the circuit at this frequency, the circuit will resonate and the current will be maximum. At frequencies higher or lower than the resonance frequency, the current will decrease. The resistor R in the circuit causes the current to decrease with time and thus limits the amplitude of the resonant current.
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