What is the equation for calculating acceleration due to gravity on an asteroid?

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To calculate the acceleration due to gravity on an asteroid, the equation x = 1/2 gt² is applicable, where x is the distance fallen, g is the acceleration, and t is the time taken. In the given scenario, a small object falls 1.00m in 4.20s. The average velocity should not be used to calculate acceleration directly, as it does not account for the change in velocity. By rearranging the equation, the correct acceleration can be derived. Thus, understanding the principles of uniformly accelerated motion is essential for accurate calculations.
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1. On an asteroid a small object falls, from rest, 1.00m in 4.20s. What is the acceleration due to gravity on the surface of the asteroid?



2.



3. I am getting an answer of 5.67 * 10^-2, by dividing the velocity (distance/time) by the time. Is this the correct?

I will really appreciate any feedback!
 
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Acceleration is change in velocity divided by time taken.
Dividing that distance by the time taken would calculate the average velocity of the falling object, not the change in its velocity.
Do you know any equations for uniformly accelerated motion?
 
think I've done it now using the equation (Vf-Vi)/t=g. Is this the correct equation to use?
 
not quite, as you don't know the final velocity (though you can work it out), howevere, you do know the distance it travelled, usually called 's' or 'x'
 
The equation to use here is:
<br /> x=\frac{1}{2}gt^{2}<br />
As the initial speed was zero.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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