Calculating Mass Using Forces and Acceleration

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SUMMARY

The discussion focuses on calculating the mass of an octagonal object subjected to two equal forces of 0.5 N, applied in the north and south-east directions, resulting in an acceleration of 0.3 m/s². Participants clarify that it is unnecessary to decompose the acceleration; instead, one must determine the magnitude of the resultant force vector from the two applied forces. By applying Newton's second law, the mass can be calculated using the formula m = F/a, where F is the resultant force and a is the acceleration.

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Homework Statement


An octagon is on a table with no friction. There are two equal forces which are put on two faces of the octagon, one in direction of the north, the other in direction of the south-east. These forces are all 0,5 N. If the module of the acceleration is 0,3 m/s^2, what is the mass of the object.

Homework Equations


Sum of Force of y = m * a in y

Sum of Force of x = m a in x

The Attempt at a Solution


I know that I must decompose my south-east forces and find its component. What I don't understand is how to find the components of the acceleration to be able to do my calculations. Could somebody give me a hint ?
 
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You don't need to decompose the acceleration. You need to find the magnitude of the Force vector that is the vector sum of the two applied forces. Then you can use that and the given magnitude of acceleration to find the mass.
 
andrewkirk said:
You don't need to decompose the acceleration. You need to find the magnitude of the Force vector that is the vector sum of the two applied forces. Then you can use that and the given magnitude of acceleration to find the mass.
Oh ok, I'll try it and see what it gives.
 

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