Pushing a Box on Frictionless Floor: Worker's Force & Box's Weight

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Homework Help Overview

The problem involves a worker pushing a box on a horizontal frictionless floor, with specific weights given for both the worker and the box. The discussion centers around the resulting accelerations of both the worker and the box due to the applied force.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the forces acting on the worker and the box, questioning how to calculate their respective accelerations. There is also a focus on the implications of the weights and forces involved.

Discussion Status

Some participants have attempted calculations based on Newton's second law, while others are questioning the assumptions made about the relationship between the worker's and box's masses. There is a recognition of the need to clarify the question being asked regarding the accelerations.

Contextual Notes

Participants note that the problem may involve confusion regarding the interpretation of the forces and the resulting motion, particularly in relation to the weight of the box and the force applied by the worker.

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Homework Statement


On a horizontal frictionless floor, a worker of weight 900N pushes horizontally with a force of 200N on a box weighing 1800N


Homework Equations





The Attempt at a Solution


I do not know where to start.
 
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As a result of the push:
A. the worker and box will both have an acceleration of 2.18m/s^2, but in opposite directions
B. The worker will accelerate at 1.09m/s^2 and the box will accelerate at 2.18m/s^2, but in opposite directions
C. The worker will accelerate at 2.18m/s^2 and the box will accelerate at 1.09m/s^2, but in opposite directions
D. The worker and box will both have an acceleration of 1.09m/s^2, but in opposite directions
E. The box will not move because the push is less than its weight
 
What have you tried so far?
 
well i think the sum of the forces in the x direction must equal ma
Fx=ma
200N= ((1800N+900N)/9.81)*a
But this can't be right because the value for a doesn't fit the answers
 
steelydan8821 said:
As a result of the push:
A. the worker and box will both have an acceleration of 2.18m/s^2, but in opposite directions
B. The worker will accelerate at 1.09m/s^2 and the box will accelerate at 2.18m/s^2, but in opposite directions
C. The worker will accelerate at 2.18m/s^2 and the box will accelerate at 1.09m/s^2, but in opposite directions
D. The worker and box will both have an acceleration of 1.09m/s^2, but in opposite directions
E. The box will not move because the push is less than its weight
Do you mean "which of these is true"? Is so, it would have helped a lot if you had said that in your first post!

I don't see any need to do ANY calculation. One answer can be thrown out because it is just silly. The correct choice from the other 4 only requires recognizing that the worker has greater mass than the box!
 
the worker has a mass of 900N the box has a mass of 1800N
1800>900
 

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