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

AI Thread Summary
To find the acceleration due to gravity on an unknown planet, a toolbox was dropped from a height of 2 meters and took 1.4 seconds to reach the ground. The average velocity calculated was 1.43 m/s, but this does not directly yield the acceleration. To determine acceleration, the appropriate equations of motion should be applied, specifically using the distance, time, and initial velocity. The discussion emphasizes the need to clarify the final velocity just before impact to proceed with the calculation. Understanding these concepts is crucial for solving the problem effectively.
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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