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An astronaut on the Venus attaches a small brass ball to a 1.00-m length of string and makes a simple pendulum. She times 20 complete swings in a time of 42.1 seconds. From this measurement she calculates the acceleration due to gravity on the Venus.
Express your answer to two significant figures and include the appropriate units.

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Answer:

8.91 [tex]\frac{m}{sec^{2} }[/tex]

Explanation:

Given

  • length of pendulum=1m
  • it takes 42.1 secs to complete 20 swings,⇒1 swing takes, T[tex]=\frac{42.1}{20}=2.105sec[/tex]

We know the formula

[tex]g=4\times(pie)^{2}\times \frac{L}{T^{2} }[/tex]

Where

  • g is the gravitational force experienced by the pendulum
  • T is the time period for on oscillation
  • L length of pendulum

[tex]g=4\times(pie)^{2} \times \frac{L}{T^{2}}[/tex]

[tex]g= 39.47842\times \frac{1}{2.105^{2} }[/tex]

[tex]g=8.91 \frac{m}{sec^{2} }sec[/tex]

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