An astronaut lands on an unknown planet. Before she can perform any of her other experiments, she needs to find out the acceleration due to gravity on that planet. All she has available to her is some dental floss (read massless), a timer on her mobile phone, and a small 2.9-kg paperweight (it was a rough landing, but her phone had a otterbox!). So she lets the ball swing from a 1.8-m length of the string, starting at rest, and measures that it takes 2.3s for it to swing from the place where she released it to the place where it first stops as it reverses direction.   What is the acceleration due to gravity on this planet?

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An astronaut lands on an unknown planet. Before she can perform any of her other experiments, she needs to find out the acceleration due to gravity on that planet. All she has available to her is some dental floss (read massless), a timer on her mobile phone, and a small 2.9-kg paperweight (it was a rough landing, but her phone had a otterbox!). So she lets the ball swing from a 1.8-m length of the string, starting at rest, and measures that it takes 2.3s for it to swing from the place where she released it to the place where it first stops as it reverses direction.

 

What is the acceleration due to gravity on this planet? 

 

Please show step. Ty

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