Calculate the acceleration due to gravity

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Homework Help Overview

The problem involves calculating the acceleration due to gravity at the surface of a rock, given its density and the time it takes for an object to fall a specific distance. The context is rooted in kinematics and the effects of gravity on falling objects.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the initial conditions of the problem, particularly the implications of the object falling from rest. There is an attempt to apply the kinematic equation to find acceleration, with one participant expressing uncertainty about the velocity. Another participant raises a question regarding significant figures in the final answer.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the application of equations, but there is no explicit consensus on the final answer or approach.

Contextual Notes

Participants are considering the implications of significant figures based on the provided measurements of time and distance, which may influence how the final answer is presented.

imy786
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Homework Statement



density, ρ of the rock is 4000 kg m−3 and that this density is uniform throughout. You have equipment that enables you to measure the time it takes for a small object to fall from rest through a distance of 2.00 m. Your measurement is 8.0 s.

(a) Calculate the acceleration due to gravity ga at the surface of the rock.
ga is constant for the drop in the experiment


Homework Equations



t=8
ρ=4000
s=2
a=?

s=ut+1/2 at2

The Attempt at a Solution



well i can't work out the acceleration as i don't know the velocity.
Need help on this...
 
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It says "fall from rest". What does this tell you about the initial velocity?
 
t=8
ρ=4000
s=2
a=?
u=0

s=ut+1/2 at2
2= 32 a
a=0.0625 m/s2
 
Sure, looks fine.
 
to how many significant figues should i give the answer to...
if i have been given time and distance to 3.s.f...should i also give the final answer to s.3.f?
 

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