Does anyone know how to solve i try to self learn?

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The discussion focuses on solving physics problems using fundamental equations of motion and forces. Participants are tasked with finding mass (m) using ΣF = ma, calculating acceleration (a) with friction coefficients, and determining the validity of static friction equations. Specific problems involve manipulating equations to isolate variables and apply known values to derive solutions. The conversation emphasizes understanding algebraic manipulation to solve for unknowns in physics contexts.
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The equations used are:
1)ΣF=ma
2)fk = μkN
3)fs ≤ μsN
4)Fs = - kx

Here are the questions:
1. If ΣF is 10N and a=1 m/s^2, find m using the first equation
2. Given ΣF = fk, m=250 kg, μk=0.2, and N = 10m, find a.
3. ΣF=T-10m, but a=0 m/s^2. Use the first equation to find m in terms of T.
4. Given the following values, determine if the third equation is valid. ΣF =fs, m=90kg, and a=2 m/s^2. Also, μs=0.1 and N=5N.
5. Use the 4th equation to solve for F, if k=900 N/m and x=0.15m
6. Use this equation ( vf=v0+at) and (ΣF=ma) find ΣF when m=12kg, vo= 15m/s,vf=5/ms and x=0.15m
 
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Well let's start with the first problem,

You know:
ΣF = 10N
a = 1 m/s^2
m = ?

And better yet, you know you have to use ΣF = m*a

Are you familiar with how to solve for a variable in an algebraic equation?

For example, can you solve for x in this equation?

6x = 52
 
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