Find acceleration on planet x given mass, time, height.

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Homework Help Overview

The problem involves determining the acceleration due to gravity on an unknown planet based on the time it takes for a toolbox to fall from a height of 2 meters. The context is set within a fictional scenario where an astronaut is tasked with this calculation after dropping the toolbox from their spacecraft.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between distance, time, and acceleration, with one suggesting the use of a specific equation related to free fall. Others question the original poster's calculations and prompt them to consider the initial conditions of the motion.

Discussion Status

The discussion is ongoing, with participants providing guidance on the relevant equations and encouraging the original poster to clarify their understanding of the problem. There is no explicit consensus yet, as different interpretations and approaches are being explored.

Contextual Notes

Participants are working with the assumption that the toolbox is dropped from rest and are considering the implications of this on the calculations. There is also a mention of comparing the scenario to a similar one on Earth, which may influence the understanding of the problem.

chuck_stone
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Homework Statement



It’s your lucky day! You have been chosen by NASA to be the astronaut for its first
intergalactic expedition. In your excitement for the mission, however, you forgot to read
the road map and you have no idea where your spacecraft landed. Your intimate
knowledge of physics will save the day since you have a detailed database of the
acceleration due to gravity for all known planets in the universe. Stepping out of your
Mark 98-Q Ultratrav ion-drive spacecraft , you drop a 10 kg tool box from a 2 m height
and note that it takes 1.4 seconds to reach the ground. What is the acceleration due to
gravity on this planet?

Homework Equations



v=delta_h/delta_t

The Attempt at a Solution



I used v=(h_0-h_f)/(delta_t), got v=1.43 m/s. I'm not sure how to proceed from here.
 
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If I asked you to calculate how long it takes for a toolbox on Earth to fall 2m could you come up with the right time?

Write down that formula here and you are on your way to solving this problem.
 
you are given distance and time, you are asked to find acceleration. Therefore, you should use gailleos equation
 
chuck_stone said:

Homework Statement



It’s your lucky day! You have been chosen by NASA to be the astronaut for its first
intergalactic expedition. In your excitement for the mission, however, you forgot to read
the road map and you have no idea where your spacecraft landed. Your intimate
knowledge of physics will save the day since you have a detailed database of the
acceleration due to gravity for all known planets in the universe. Stepping out of your
Mark 98-Q Ultratrav ion-drive spacecraft , you drop a 10 kg tool box from a 2 m height
and note that it takes 1.4 seconds to reach the ground. What is the acceleration due to
gravity on this planet?

Homework Equations



v=delta_h/delta_t

The Attempt at a Solution



I used v=(h_0-h_f)/(delta_t), got v=1.43 m/s. I'm not sure how to proceed from here.
Hello chuck_stone. Welcome to Pf !

What you calculated was the average velocity of the toolbox while it was falling. If it starts from rest, what its velocity the moment before it touches ground?
 

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