(Physics) How to find net force when given vectors and mass (kg)
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(Physics) How to find net force when given vectors and mass (kg)

[From: ] [author: ] [Date: 12-11-19] [Hit: ]
The net force is the vector sum of those 4 vectors.The net force is the resultant of those 2 perpendicular vectors.......
Here is the question that I am struggling with:

4 forces act on Melanie: 30N East, 45N South, 80N West, and 200N South. If her mass is 111 kg, find Fnet (net force)

The formula for Fnet is Fnet=(Mass x Acceleration)
How can I find ACCELERATION from the given vectors?

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You don't need to find acceleration to determine the net force. What you need is vector addition. The net force is the vector sum of those 4 vectors.

30 N East + 80 N West = 30 N East + (-80 N) East = - 50 N East = +50 N West

45 N South + 200 N South = 245 N South

The net force is the resultant of those 2 perpendicular vectors. The magnitude is given by
Fnet = sqrt[(50 N)^2 + (245 N)^2] = 250 N
The direction is arctan(245/50) south of west = 78 degrees south of west
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