Adding force vectors and then calculating acceleration.

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Homework Help Overview

The problem involves two forces acting on a body with a specified mass, requiring the calculation of acceleration based on the net force resulting from the vector addition of the two forces. The forces have given magnitudes and an angle between them, placing the discussion within the context of dynamics and vector analysis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the resultant force using a formula for vector addition but expresses uncertainty about the accuracy of their result. Some participants question the correctness of the provided answer from the answer sheet, while others reflect on the implications of the forces involved.

Discussion Status

Participants are engaging in a dialogue about the calculations and the provided answer, with some expressing agreement on the potential error in the answer sheet. There is a focus on verifying the calculations and understanding the implications of the forces acting on the mass.

Contextual Notes

The problem specifies a mass in grams and forces in Newtons, which may lead to confusion regarding unit conversions. The angle between the forces is also a critical aspect under discussion, as it affects the resultant force calculation.

agoogler
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Homework Statement



Two forces act simultaneously on a body of mass 15 gram. The magnitudes of the
forces are 1 Newton and 3 Newton, and the angle between them is 60° as shown. Find the
magnitude of the acceleration of the body. Express your answer in m/s2 and to the nearest
integer.

50bJO.png


Homework Equations



F = ma

The Attempt at a Solution



The sum of the two force vectors is √{1+9+(6*1/2)} =√13 .
Thus a =√13/(15/1000 kg) = ~240 .
But the answer is very far off. Where have I went wrong ? Please help.
 
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I think you are correct.
 
So do I. What answer is given?
 
haruspex said:
So do I. What answer is given?
The answer given is 67 .
 
agoogler said:
The answer given is 67 .
You'd get that acceleration from a force of 1N on 15g.
 
haruspex said:
You'd get that acceleration from a force of 1N on 15g.

Right ! I didn't notice that . So probably its a mistake in answer sheet.
 

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