Solving for the velocity of a Pendulum

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SUMMARY

The correct speed of a 2 kg pendulum at the bottom of its swing, released from an angle of 53 degrees, is 6.2 m/s, assuming the pendulum length is 2 m. The discussion highlights that variations in answers, such as 40 m/s, arise from miscalculations or incorrect assumptions about the pendulum's height and the acceleration due to gravity. Participants emphasize the importance of showing working steps and the initial height to arrive at the correct solution.

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Homework Statement
A 2 kg pendulum is raised to an angle of 53 degrees relative to the vertical, as shown below, and released from rest. What is the speed of the mass at the bottom of its swing?
Relevant Equations
6.2 m/s
60 m/s
10 m/s
7.7 m/s
40 m/s
I think the answer is 6.2 but I also got 40m/s. Which one is right?
 
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momoneedsphysicshelp said:
Homework Statement:: A 2 kg pendulum is raised to an angle of 53 degrees relative to the vertical, as shown below, and released from rest. What is the speed of the mass at the bottom of its swing?
Relevant Equations:: 6.2 m/s
60 m/s
10 m/s
7.7 m/s
40 m/s

I think the answer is 6.2 but I also got 40m/s. Which one is right?
Depends on the length of the pendulum.
Please post your working.
 
Last edited:
Also, please post the picture that is supposed to be "shown below". Maybe it shows the initial height above the lowest point of the swing. If it's 2 m (as I suspect), the correct answer for the speed is (a). Answer (e) is included to catch those who forget to take the appropriate square root. Answers may vary slightly depending on what number you use for the acceleration of gravity.
 
Last edited:

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