Find gravity on an unknown planet

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SUMMARY

The discussion focuses on calculating the acceleration due to gravity ('g') on the planet Org using an animation of an object sliding down a frictionless inclined plane. The angle of inclination measured is 36.15 degrees. The user attempted to calculate 'g' using the equation g = a/sin(θ), where 'a' was incorrectly stated as 7.5 m/s². The correct interpretation of the data points indicates that the acceleration due to gravity on Org is approximately 0.0787 m/s², derived from the relationship between the final velocity and the angle of inclination.

PREREQUISITES
  • Understanding of kinematics, specifically acceleration and velocity.
  • Familiarity with trigonometric functions, particularly sine.
  • Ability to interpret graphical data from animations or simulations.
  • Knowledge of basic physics equations related to motion on inclined planes.
NEXT STEPS
  • Review the principles of inclined plane physics and the derivation of gravitational acceleration.
  • Learn how to accurately use trigonometric functions in physics calculations.
  • Explore the implications of frictionless surfaces in motion analysis.
  • Investigate the effects of varying angles of inclination on acceleration due to gravity.
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Students of physics, educators teaching mechanics, and anyone interested in understanding gravitational calculations on different celestial bodies.

dragon18
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Starting from rest, an object is sliding down a frictionless inclined plane on the planet Org. Using the animation, determine the acceleration due to gravity ('g') on the planet. Use the protractor shown on the screen to measure the angle of inclination.
https://www.physicsforums.com/attachments/55979
point 1: 0s 0,30
point 2: 1s 2.6, 27.2
point 3: 2s 10, 21.7
point 4: 3s 22.7, 12.6
point 5: 4s 40, 0
Theta: 36.15

Relevant Equations
a=vf-vf
a=gsinθ



Attempt
vi=0m/s
vf=7.5m/s
a=7.5m/s2

g=sin36.15/7.5
g=0.0787m/s2
 
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Please show your working and the reasoning behind it.

Note:
Invalid Attachment specified.
You have a mistake in one of your equations.

if a=7.5m/s2 and vi=0 as you have stated,
then
1. what is the speed after 1 second?
2. does this agree with the data?
 

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