Finding the Mass of An Object as It Slides Over a Frictionless Surface

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SUMMARY

The problem involves calculating the mass of an object being pulled by a forearm on a frictionless surface, where the forearm has a mass of 4.26 kg and experiences a force of 14 N with an acceleration of 2.54 m/s². Using Newton's Second Law (F = ma), the net force acting on the system can be determined. The mass of the object can be calculated by rearranging the equation to find m, and then subtracting the mass of the forearm from the total mass. The final mass of the object is derived as 3.25 kg.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Basic knowledge of free body diagrams
  • Familiarity with concepts of mass and acceleration
  • Ability to perform algebraic manipulations
NEXT STEPS
  • Study advanced applications of Newton's Laws in different contexts
  • Explore free body diagram techniques for complex systems
  • Learn about frictionless surfaces and their implications in physics
  • Investigate the relationship between force, mass, and acceleration in various scenarios
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of applying Newton's Laws in real-world scenarios.

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Homework Statement



The forearm (including the hand) has a mass of 4.26 kg. The upper arm exerts the force of 14 N on the forearm. If the forearm has an acceleration of 2.54 m/s^2, determine the mass of the object being pulled by the hand. (Assume the object slides over a frictionless surface.)

Homework Equations



Newton's Second Law:

Fnet=ma



The Attempt at a Solution



So I have my free bodies. With the arm, I have the three forces of Normal, Tension, and Mass, and with the object, the same three forces. I don't know if these are right so that might be why I'm stuck.

Assuming that those free bodies are right, I am unsure of what equations (Newton's Second Law) to write down and use or what approach to take towards this problem.

Any Help Would Be Great
 
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Maybe I am oversimplifying . . . it looks like you have a force of 14 N causing an acceleration of 2.54 and you want to know what the mass is. Just use F = ma. Find m, then subtract 4.26 kg to get the mass of the object (excluding the forearm).
 

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