What is the acceleration of the mass along the table?

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Homework Help Overview

The problem involves a 10.0 kg mass on a frictionless table being accelerated by a 5.0 kg mass hanging over the edge. Participants are discussing the acceleration of the mass along the table, considering the forces acting on both masses.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Some participants suggest drawing free body diagrams to analyze the forces acting on each mass. Others mention the need to consider the system as a whole and question the relationship between the acceleration of the two masses.

Discussion Status

Participants are exploring different interpretations of the problem, with some providing guidance on using Newton's second law and the concept of net force. There is a mix of ideas regarding the role of tension and the effects of gravity on the system.

Contextual Notes

There is a lack of consensus on the effects of friction and the relationship between the speeds of the two masses. Some participants are questioning the assumptions made about the system's behavior under different conditions.

lennyp
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Homework Statement


A 10.0 kg mass, m1, on a frictionless table is accelerated by a 5.0 kg mass, m2, hanging over the edge of the table. What is the acceleration of the mass along the table?

Homework Equations


F=ma
W=mg


The Attempt at a Solution


Can someone atleast point me in the right direction?
 
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lennyp said:

Homework Statement


A 10.0 kg mass, m1, on a frictionless table is accelerated by a 5.0 kg mass, m2, hanging over the edge of the table. What is the acceleration of the mass along the table?

Homework Equations


F=ma
W=mg


The Attempt at a Solution


Can someone atleast point me in the right direction?
You need to draw a free body diagram of each mass, and note that the tension in the cord between the 2 masses have the same magnitude of pull on each mass, and that each mass must have the same magnitude of acceleration. You'll have to solve 2 equations with 2 unknowns and use Newton's second law. Please show some of your work so we can assist further.
 
since there is no friction will it move at the same speed as the 5 kg object and since the 5 kg object is hanging its moving at 9.8 m/s squared?
 
no... consider the two objects as a whole system. what is the total net force and total mass?
then from there and:
[tex]F_{\text{net}}=M_{\text{total}}a[/tex]
you will find the acceleration.
 


Fg=mg=5kgx9.8m/s^2
and F=mg=ma so a=f:10kg
 


lennyp said:
since there is no friction will it move at the same speed as the 5 kg object and since the 5 kg object is hanging its moving at 9.8 m/s squared?

Even if there was friction, both will move with same speed. And 9.8 m/s2 is just acceleration die to gravity, you forgot to include tension!
 

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