Forces btwn Boxes: Find Acc & Magnitude of Contact Forces

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Homework Help Overview

The discussion revolves around a physics problem involving three boxes in contact on a frictionless surface, with a force applied to the third box. The masses of the boxes are given, and the objective is to determine the acceleration of the boxes and the magnitudes of the contact forces between them.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law to find the acceleration of the system and the forces acting on each box. There are questions about the nature of the contact forces and whether they are equal in magnitude. Some participants attempt to analyze the system as a whole and then individually.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the forces involved. Some have provided calculations for acceleration and specific contact forces, while others question the consistency of these values and the direction of forces. There is no explicit consensus on the contact forces' magnitudes or directions.

Contextual Notes

Participants are working under the assumption of a frictionless surface and are considering the effects of applied and normal forces. There is uncertainty regarding the definitions of net force and contact forces, as well as how to represent them in free body diagrams.

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Homework Statement


boxes 1,2 and 3 are touching each other. a force is applied to box 3. assume that the surface is frictionless. the masses are m1 20 kgs, m2 is 40 kgs, and m3 is 25kgs. the applied force to box 3 is 75 Newtons. find te acceleration of the blocks and the magnitude of there contact forces.


Homework Equations



Fnet=ma

The Attempt at a Solution

box 3 has applied force of 75N and and opposite normal force of 75N?? not sure what the value of the other horizontal forces are?? also not sure where to include the weight of the boxes??
 

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I think I've figured the problem out just not sure if the contact forces are all the same magnitude?
 
pb23me said:
I think I've figured the problem out just not sure if the contact forces are all the same magnitude?
Please show your work. You first need to look at the entire system of 3 boxes to solve for the acceleration using Newton 2. Then look at each box separately in a free body diagram, noting any contact normal or applied forces in the x direction, and use Newton 2 again for each box. They all move together, so each has the same acceleration. The contact forces are not the same.
 
i considered the whole system as one unit. added the masses to get mass 85kgs. Fnet= 75N then found acceleration = .88 m/s^2. i used the acceleration and mass of box 3 to determine the force of box 3 acting on box 2 F3=22N now how do i find the other contact forces?
 
am i correct in saying that the force applied on box 2 from box 3 is 22N or is that the net force?
 
When you looked at block 3, the force you solved, 22 N , was the NET force acting on block 3. Since Block 3 has an applied force of 75 N acting left, then the normal force of 2 on 3 must be __?___ in which direction? Then try the same approach using Block 1.
 
idk the contact force is 53N so assume it would be -53N of 2 on 3.
 
What do you mean by the minus sign? If the 75 N force acts left, the 53 N force of 2 on 3 must act right. The net force (22N) is always in the direction of the acceleration (in this case, F_net acts left).
 

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