Tension of a string between 2 blocks of equal mass on a flat surface

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SUMMARY

The tension in a string between two blocks of equal mass, subjected to a pulling force of 17 Newtons, can be calculated using Newton's Second Law. By analyzing the forces acting on each block through free body diagrams (FBDs), it is established that the tension (T) equals half of the pulling force when both blocks accelerate uniformly. Therefore, the correct answer is 8.5 Newtons. This conclusion is derived from the equations F = ma, where the net force acting on each block is balanced by the tension in the string.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Ability to draw and interpret Free Body Diagrams (FBDs)
  • Basic knowledge of forces and tension in a system
  • Familiarity with concepts of mass and acceleration
NEXT STEPS
  • Study the application of Newton's Laws in multi-body systems
  • Learn how to construct and analyze Free Body Diagrams (FBDs)
  • Explore tension calculations in various mechanical systems
  • Investigate the effects of friction on tension and acceleration
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for effective methods to teach concepts of tension and forces in systems.

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Homework Statement



What is the tension of a string between 2 blocks of equal mass that are moving due to a pull of 17 Newtons?[PLAIN]http://postimage.org/image/pmoibsy4p/ [/PLAIN]

A. 8.5
B. 0
C. 17
D. 25

Homework Equations



F=ma


The Attempt at a Solution



17


 
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Attempt at a solution is not just 17... haha... Show your equations that you used, so we can help you... Did you draw your FBD's for the 2 masses?
 
Very easy once you have done the equations for both the masses...
 
This is a very straight forward problem.

Newton's Second Law!

If you draw a free body diagram of each block you will have:

ƩFBLOCK1=ma

FPULL - T = ma

ƩFBLOCK2=ma

T = ma

----

You are given that the masses are equal to each other and the system will accelerate at the same rate!
 
Yes Bill Nye Tho, for you it is very easy, but the purpose of this forum is to help people understand what they deal with by letting them do the problem themself, we just aid them when they struggle... Try helping not just showing that you know the answer...
 

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