Moving down on a frictionless plane

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Homework Help Overview

The problem involves a shipping container being hauled up a frictionless ramp at a constant speed, requiring the determination of the container's mass based on the applied force and the incline angle.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply Newton's laws and trigonometric relationships to find the mass, but expresses uncertainty about their calculations. Some participants affirm the approach while noting the implications of constant speed and lack of net force.

Discussion Status

Participants are exploring the problem with some guidance provided regarding the relationship between the applied force and gravitational components. There is acknowledgment of potential errors in the original poster's calculations, but no consensus on the correct answer has been reached.

Contextual Notes

The original poster mentions that the problem is sourced from the Kinematic Books website, indicating a lack of feedback on the correctness of their answer from that source.

lacar213
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Homework Statement


A shipping container is hauled up a roller ramp that is effectively frictionless at a constant speed of 2.10 m/s by a 2250 N force that is parallel to the ramp. If the ramp is at a 24.7° incline, what is the container's mass?


Homework Equations


Fx = mg sin(theta)
F = ma
A = Fx / m


The Attempt at a Solution


I tried the equations above but I'm unsure if I'm doing this correctly ...
2250/9.8 = 229.592
229.592sin(24.7)=95.9389
2250/95.9389=23.4524 kg
 
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Yes I think you are doing it correctly.

Since it is at a constant speed that means no acceleration hence no Fnet (N2)

So the force that is pushing it up should be equal the the x component of gravity.

Fgx=Fapplied

mgsin(theta)=Fapplied
 
these problems are on the Kinematic Books website - that answer ended up being incorrect - it doesn't tell you what the correct answer is

I'm not sure what I did wrong ... I tried that problem 3 times
 
these problems are on the Kinematic Books website - that answer ended up being incorrect - it doesn't tell you what the correct answer is

I'm not sure what I did wrong ... I tried that problem 3 times
 

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