Answer and work is shown in the image attached.
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A boy on rollerskates is travelling along at 8 m/s. He has a mass of 60 kg and is carrying his
1 answer:
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Answer:
C. 1) No Change (4 sec) 2) 5.7 sec 3) 2.8 sec 4) No Change (4 sec)
Explanation:
Given that:
Period (T) = 4 s
1) If the mass is doubled.
The period of a pendulum is given by the formula:
where L is the length and g is the acceleration due to gravity.
From the formula, the period does not depend on the mass of the spring therefore if the mass is doubled the period does not change.
2) The string length is doubled
Given that:
if the length is doubled, the new spring length is 2L. Therefore the new period (T1) is given as:
3) The string length is halved
Given that:
if the length is halved, the new spring length is L/2. Therefore the new period (T1) is given as:
4) The amplitude is halved
From the formula, the period does not depend on the amplitude therefore if the amplitude is halved the period does not change.