A mass of 0.90 kg is suspended from the lower end of a light spring of stiffness 80 N m<sup>-1</sup> - AQA - A-Level Physics - Question 25 - 2020 - Paper 1
Question 25
A mass of 0.90 kg is suspended from the lower end of a light spring of stiffness 80 N m<sup>-1</sup>.
When the mass is displaced vertically and released, it undergoe... show full transcript
Worked Solution & Example Answer:A mass of 0.90 kg is suspended from the lower end of a light spring of stiffness 80 N m<sup>-1</sup> - AQA - A-Level Physics - Question 25 - 2020 - Paper 1
Step 1
Calculate the angular frequency
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Answer
The angular frequency (ω) of a mass-spring system is given by the formula:
ω=mk
where:
k=80N m−1 (stiffness of the spring)
m=0.90kg (mass)
Substituting in the values, we get:
ω=0.9080=88.89≈9.43rad s−1
Step 2
Convert angular frequency to frequency
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Answer
The frequency (f) can be calculated from the angular frequency using the formula:
f=2πω
Substituting the value of ω:
f=2π9.43≈6.289.43≈1.50Hz
Step 3
Conclusion
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Answer
Thus, the frequency of the oscillations is approximately 1.50 Hz. The correct answer is C.