Conceptual Newtons laws of motion question- mass and weight

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Homework Help Overview

The discussion revolves around a problem involving the concepts of mass and weight in the context of Newton's laws of motion, specifically on a hypothetical Planet X. The original poster presents a scenario where a ball is dropped from a height and the time taken to reach the ground is measured, with the goal of determining the weight of the ball on this planet.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between mass, weight, and gravitational acceleration. There is an attempt to derive the acceleration due to gravity using the height and time of fall, though initial assumptions about the relationship are questioned. A kinematic equation is referenced to clarify the connection between distance, time, and acceleration.

Discussion Status

The discussion is active, with participants providing hints and guidance on how to approach the problem. There is recognition of incorrect assumptions, and a kinematic formula has been introduced to aid in understanding the relationship between the variables involved.

Contextual Notes

Participants note that the original assumptions about the relationship between height and time were flawed, particularly in terms of units, indicating a need for careful consideration of the physics principles at play.

ledhead86
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You have just landed on Planet X. You take out a ball of mass , release it from rest from a height of and measure that it takes a time of to reach the ground. You can ignore any force on the ball from the atmosphere of the planet.

How much does the ball weigh on the surface of Planet X?
 
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Hint: Find the acceleration due to gravity.
 
i know that w=m*g
so i assumed that g would be equal to h/t. But apparently that is incorrect. Any help would be greatly appreciated!
 
ledhead86 said:
so i assumed that g would be equal to h/t.
The units aren't even correct! (h/t would be a speed, not an acceleration.)

What's the kinematic formula connecting distance, time, and acceleration for uniformly accelerated motion?
 
x=x_0+v_0*t+(1/2)a*t^2

so would the acceleration be h/(.5t^2)

and the final answer be mass*(h/(.5t^2))
 
Sounds good to me.
 

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