Kinematics problems: Displacement in Moon & Proportionality

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SUMMARY

The discussion focuses on a kinematics problem involving an astronaut throwing a stone horizontally on the Moon, where the acceleration due to gravity is 1/6 that of Earth. The key conclusion is that the horizontal distance traveled by the stone, denoted as d, will increase by a factor of 6 based on inverse proportionality principles. However, this conclusion is challenged by the need to consider the specific kinematic equations applicable to the scenario, including the initial velocity (V0) and the height from which the stone is thrown.

PREREQUISITES
  • Understanding of kinematic equations and their applications
  • Knowledge of gravitational acceleration differences between celestial bodies
  • Familiarity with horizontal projectile motion concepts
  • Ability to analyze motion in one dimension
NEXT STEPS
  • Study the kinematic equations for projectile motion in detail
  • Research the effects of varying gravitational acceleration on projectile trajectories
  • Learn about the concept of inverse proportionality in physics
  • Explore the significance of initial velocity and launch height in projectile motion
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of kinematics and projectile motion, particularly in varying gravitational environments like the Moon.

Tanha Kate
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Homework Statement



An astronaut on the moon throws a stone horizontally with a speed V0. If the acceleration due to gravity on the moon is 1⁄6 that of the Earth, by what factor will the horizontal distance traveled by the stone, d, change?

Answer Options:
2

2.44

1.20

36

6

Homework Equations



U1L6a1.gif


The Attempt at a Solution


[/B]
Rearranging kinematic equation to make displacement the subject

upload_2016-11-18_12-45-0.jpeg


Hence, inverse proportionality suggests displacement will increase by a factor of 6 but this is not the answer
 
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When you use any formula, you must understand why that formula applies to the situation you are dealing with and what each term in the formula represents.

In this case, are you dealing with motion in one direction?

Also, what about the height above the ground that the stone is thrown?
 

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