Position of an object in time and force

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Homework Help Overview

The problem involves determining the force acting on a 2.0 kg object based on its position as a function of time, expressed in vector form. The position is given by a polynomial function of time, and participants are tasked with finding the force at a specific time.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to clarify the problem statement and the variables involved. Some attempt to derive the acceleration from the position function, while others express uncertainty about the steps needed to find the force.

Discussion Status

The discussion is ongoing, with various interpretations of the problem being explored. Some participants have suggested methods for finding acceleration and force, while others are seeking clarification on the initial problem setup.

Contextual Notes

There are indications of confusion regarding the clarity of the problem statement and the definitions of the variables involved. Participants are also navigating the steps from position to acceleration to force, reflecting the complexity of the problem.

preluderacer
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Homework Statement



The position of an object as a function of time is given by = bt^3 ihat + ct jhat . If and , what is the force on a 2.0 kg object when t = 1.8 s?



The Attempt at a Solution



I tried multiplying it and got m ihat + m jhat. I don't even know where to begin.
 
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If and , what is the force on a 2.0 kg object when t = 1.8 s?

This statement is not clear. Rewrite it.
 
The position of an object as a function of time is given by = bt^3 ihat + ct jhat . If b=2.1m/s^3 and c=1.7m/s, what is the force on a 2.0kg object when t=1.8s
 
Let x = bt^3 ihat + ct jhat
Find a = d^2(x)/dt^2 and substitute t = 1.8 s
Now find F.
 
so x=(bt^3ihat +ct)?

then u want me to find the derivative?
 
Ha, I went to get breakfast and kept thinking about it. It goes position, velocity, then acceleration. So I take the 2nd derivative with respect to time, then use f=ma. Thanks you! =)
 

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