Physics; two forces on an object

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Homework Help Overview

The problem involves two forces, FA and FB, acting on an object with a mass of 16.0 kg. The scenario describes two cases: one where both forces act in the same direction resulting in an acceleration of 0.900 m/s², and another where they act in opposite directions leading to an acceleration of 0.400 m/s². The goal is to determine the magnitudes of FA and FB.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the net force equations based on the given accelerations and attempt to set up simultaneous equations to solve for the unknown forces.

Discussion Status

Participants are actively engaging with the problem, establishing equations based on the scenarios presented. There is a recognition of the need to solve two equations with two unknowns, but no consensus or resolution has been reached yet.

Contextual Notes

Participants are working under the constraints of the problem statement and are exploring the implications of the forces acting in different directions. There is an emphasis on the relationships between the forces and the resulting accelerations.

triplel777
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Homework Statement



Two forces FA and FB are applied to an object whose mass is 16.0 kg. The larger force is FA. When both forces point due east, the object's acceleration has a magnitude of 0.900 m/s2. However, when FA points due east and FB points due west, the acceleration is 0.400 m/s2, due east. Find the magnitude of FA and the magnitude of FB.

Homework Equations





The Attempt at a Solution



well Fnet= Fa+Fb= ma
so Fnet = 16*0.9
Fnet= 14.4
now what do i do?
 
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When both are in the same direction

Fa+Fb=ma (a = 0.9)

when in opposite directions Fa-Fb=ma, this a is in the second line of the problem
 
yes so Fa+Fb=14.4 how do i find the value of each one?
 
triplel777 said:
yes so Fa+Fb=14.4 how do i find the value of each one?

you have


Fa+Fb= constant

and

Fa-Fb= other constant


two equations with two unknowns, solve simultaneously.
 

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