A Grade 11 Waves - Frequency-Movement Problem

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    Grade 11 Waves
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The problem involves a 20g mass oscillating with a frequency of 2.0 Hz, moved from its rest position by 20 cm. Over a duration of 10 seconds, the mass completes 20 oscillations, as calculated using the formula f = N / T. The total distance moved is determined by multiplying the distance per cycle (20 cm) by the number of cycles (20), resulting in 2 meters. The calculations confirm that the movement is indeed correct. The final answer is that the mass moves 2 meters in 10 seconds.
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****A Grade 11 Waves --- Frequency-Movement Problem****

A 20g mass is picked up and moved from its rest position 20 cm. The mass has a frequency of 2.0 Hz.

How far does it move in 10s. (Show work)


I have no idea how to solve this. But if it helps I have learned these equations a day before my teacher gave me this Q to hand in tomorrow:

f = N / T
T = t / N
V = WaveLength / T
V = WaveLength * f


What I tried was to solve it like this:

f = N / T ----> 2 = N/10 -----> N = 20

So x = 20 * 10 cm = 200 cm = 2 m

Is it right? please answer ASAP. I have to hand this in tomorrow!
 
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Yes, your answer is correct. Since the frequency of the mass is 2.0 Hz, it means that it completes 2 complete oscillations or cycles in 10 seconds. Therefore, if it moves 20 cm in one cycle, then it would move 2 m in 10 seconds.
 

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