Finding Net Force on a 725 Gram Block with Given Acceleration and Angle

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Homework Help Overview

The problem involves determining the net force acting on a 725 gram block that is accelerating at 8.10 m/s² at an angle of 18.0 degrees relative to the horizontal. The context is rooted in Newton's laws of motion, specifically focusing on the relationship between mass, acceleration, and force.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to convert mass from grams to kilograms and expresses uncertainty about how to proceed with the angle's influence on the calculations. Some participants suggest revisiting Newton's second law and clarifying the relationship between acceleration and net force direction. Others propose breaking down the problem into x and y components of force and acceleration, hinting at the use of trigonometry.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of how to approach the problem. Some guidance has been offered regarding the need to consider components of force, but there is no explicit consensus on the best method to proceed.

Contextual Notes

Participants are navigating the implications of the angle in relation to the net force and are questioning how to effectively apply trigonometric principles to resolve the components of acceleration.

ScienceGirl90
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Homework Statement


Find the magnitude of net force on the following object a 725 gram block that is accelerating at 8.10 m/s2 at an angle of 18.0 degree relative to horizontal.


Homework Equations


F=m*a


The Attempt at a Solution


I first converted the 725 grams to kilograms but then after that I am unsure of what to do. Having information about the angle is throwing me off because I don't know what equation to use.
 
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Read up again on Newton's 2nd law, the part about where it talks about the direction of the net force.
 
Well I did read that if you know the direction of acceleration, you know the direction of the net force. But I am still confused as to how this helps. Would you please explain more? Thank you!
 
What you have to do is find your force for your x-component and your force for your y-component and then find the magnitude of these. because its asking for magnitude.
so..
F_x = ma_x
and
F_y = ma_y

so for these equations obviously your mass will be the same value, but you must find your x and y component of acceleration, which is an easy trig problem (draw a triangle)

you should be able to then easily solve for you F_x and F_y
once you find these you should know how to find the magnitude, its the square root of (F_x)^2 + (F_y)^2
 
But F_net =ma, where m and a are given. It's very easy, don't let the angle trick you.
 

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