How Do You Calculate Acceleration in a Two-Mass System with Newton's Laws?

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SUMMARY

The discussion focuses on calculating the acceleration of a two-mass system using Newton's Laws. A 10.0-kg mass on a frictionless table is connected to a 5.0-kg mass hanging off the edge. The force acting on the hanging mass is calculated as 49 N using the equation F=mg, where g is 9.8 m/s². To find the acceleration, participants are advised to draw free body diagrams for both masses and analyze the net forces acting on them.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Familiarity with free body diagrams
  • Knowledge of basic physics equations, specifically F=ma
  • Concept of gravitational force calculation (F=mg)
NEXT STEPS
  • Learn how to draw and interpret free body diagrams for multi-mass systems
  • Study the application of Newton's second law in different scenarios
  • Explore tension forces in pulley systems
  • Investigate the effects of friction in mass acceleration calculations
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Students studying physics, educators teaching mechanics, and anyone interested in understanding dynamics in multi-mass systems.

dorkee
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Homework Statement


A 10.0-kg mass on a frictionless table is accelerated by a 5.0-kg mass hanging from a table. Calculate the acceleration of the mass on the table. (It gives a picture but I can draw it if nobody can picture the diagram).

Homework Equations


F=ma
F=mg

The Attempt at a Solution


Okay, so I don't even know if I'm going in the right direction but I did this so far:
I solved for the force for the 5.0 kg block which is the one hanging from the table.
F=ma
F = (5.0 kg)(9.8 m/s^2)
F = 49 N

And now I'm just stuck.
 
Last edited:
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Draw a free body diagram of each block and find the net forces acting on them.
 

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