Forces on adjacent accelerating bodies

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SUMMARY

The problem involves two bodies, A and B, subjected to the same force resulting in different accelerations. Body A accelerates at 0.640 m/s², while Body B accelerates at 0.359 m/s². The mass of Body A is calculated to be 1.5625 kg using the formula ƩF=ma. To solve for the combined acceleration when both bodies are attached and the same force is applied, the mass of Body B must also be determined.

PREREQUISITES
  • Understanding of Newton's Second Law (ƩF=ma)
  • Basic knowledge of mass and acceleration relationships
  • Ability to perform unit conversions and calculations
  • Familiarity with force and acceleration concepts in physics
NEXT STEPS
  • Calculate the mass of Body B using the same force and acceleration formula.
  • Determine the total mass when Bodies A and B are combined.
  • Apply the force to the combined mass to find the new acceleration.
  • Explore additional examples of forces on multiple bodies in physics problems.
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of Newton's laws in action.

subzero800
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Homework Statement



The same force that gives the standard 1 kg mass an acceleration of 1.00 m/s2 acts first on body A, producing an acceleration of 0.640 m/s2, and then on body B, producing an acceleration of 0.359 m/s2. Find the acceleration produced when A and B are attached and the same force is applied.



Homework Equations



ƩF=ma

The Attempt at a Solution



I started by trying to figure out the mass of body a by doing 1 N/.640 m/s2 and I have 1.5625 Kg for Body A--I'm not sure if this is correct nor how to complete the problem.
 
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subzero800 said:
I started by trying to figure out the mass of body a by doing 1 N/.640 m/s2 and I have 1.5625 Kg for Body A--I'm not sure if this is correct nor how to complete the problem.
So far, so good. You found the mass of body A. Now find the mass of Body B.
 

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