Two forces FA and FB are applied to an object whose mass is 16.7 kg. The larger force is FA. When both forces point due east, the object's acceleration has a magnitude of 0.844 m/s2. However, when FA points due east and FB points due west, the acceleration is 0.425 m/s², due east. Find (a) the magnitude of FA and (b) the magnitude of FB. (a) Number 10.6 (b) Number i 7.0 Units Units N N

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Chapter1: Units, Trigonometry. And Vectors
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solve part b.

**Question:**

Two forces, \(\vec{F}_A\) and \(\vec{F}_B\), are applied to an object whose mass is 16.7 kg. The larger force is \(\vec{F}_A\). When both forces point due east, the object's acceleration has a magnitude of 0.844 m/s\(^2\). However, when \(\vec{F}_A\) points due east and \(\vec{F}_B\) points due west, the acceleration is 0.425 m/s\(^2\), due east. Find (a) the magnitude of \(\vec{F}_A\) and (b) the magnitude of \(\vec{F}_B\).

**Answers:**

(a) Number: 10.6 

Units: N

(b) Number: 7.0 

Units: N
Transcribed Image Text:**Question:** Two forces, \(\vec{F}_A\) and \(\vec{F}_B\), are applied to an object whose mass is 16.7 kg. The larger force is \(\vec{F}_A\). When both forces point due east, the object's acceleration has a magnitude of 0.844 m/s\(^2\). However, when \(\vec{F}_A\) points due east and \(\vec{F}_B\) points due west, the acceleration is 0.425 m/s\(^2\), due east. Find (a) the magnitude of \(\vec{F}_A\) and (b) the magnitude of \(\vec{F}_B\). **Answers:** (a) Number: 10.6 Units: N (b) Number: 7.0 Units: N
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