What is The New velocity of the box?

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Homework Help Overview

The problem involves a 24 kg box being pushed across a surface with a constant force while experiencing kinetic friction. The task is to determine the box's position and velocity at a specific time, given its initial conditions and forces acting on it.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss calculating the frictional force and resultant force, with some questioning how to find the final velocity at a later time. There are attempts to integrate acceleration to find velocity, and some participants express confusion about the process.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to calculate the final velocity. Some guidance has been offered regarding the calculation of forces, but there is no consensus on the method to reach the final answer.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the extent of guidance provided. There is an emphasis on understanding the forces involved and their impact on motion.

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Homework Statement


A 24 kg box is being pushed across the floor by a constant force ‹ 107, 0, 0 › N. The coefficient of kinetic friction for the table and box is 0.18. At t = 8.0 s the box is at location ‹ 11, 2, −4 › m, traveling with velocity ‹ 5, 0, 0 › m/s. What is its position and velocity at t = 9.7 s?



Homework Equations





The Attempt at a Solution


i got <12.11,0,0> and <7.58,0,0> but they were both wrong
 
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Since the force is in the x-direction, you need to get the frictional force which would be Frictional force = <μmg,0,0>, then find the resultant force,F. (and F=ma :wink: )
 
yea but i still don't get how to find v final at 9.7s
 
ohheytai said:
yea but i still don't get how to find v final at 9.7s

Using my suggestion, once you get the resultant force vector and apply F=ma, you can get the vector a.

Then you can use v(t) = ∫a(t) dt
 
can you show me how to get the answer?
 
ohheytai said:
can you show me how to get the answer?

I can't pose the solution for you, but I will start you off.

Resultant force, ma(t) = Constant force - frictional force
 

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