1/2 * Fmax * 2 * 10^-3 + Fmax * 2.0 * 10^-3 + 1/2 * Fmax * 2 * 10^-3 = 8.0 * (0.3 + 0.3)
Question
1/2 * Fmax * 2 * 10^-3 + Fmax * 2.0 * 10^-3 + 1/2 * Fmax * 2 * 10^-3 = 8.0 * (0.3 + 0.3)
Solution
Sure, let's break down the equation step by step.
First, let's simplify the left side of the equation:
1/2 * Fmax * 2 * 10^-3 + Fmax * 2.0 * 10^-3 + 1/2 * Fmax * 2 * 10^-3
This can be simplified to:
Fmax * 10^-3 + Fmax * 2.0 * 10^-3 + Fmax * 10^-3
Which further simplifies to:
2Fmax * 10^-3 + 2Fmax * 10^-3
This simplifies to:
4Fmax * 10^-3
Now, let's simplify the right side of the equation:
8.0 * (0.3 + 0.3)
This simplifies to:
8.0 * 0.6
Which further simplifies to:
4.8
So, the equation simplifies to:
4Fmax * 10^-3 = 4.8
To solve for Fmax, we divide both sides by 4 * 10^-3:
Fmax = 4.8 / (4 * 10^-3)
This simplifies to:
Fmax = 1200 N
So, the maximum force (Fmax) is 1200 Newtons.
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