# Chapter 5 - Force and Motion - Conceptual Questions: 6

(a) Object B must have the largest mass since object B's acceleration is the smallest. (b) Object C must have the smallest mass since object C's acceleration is the largest. (c) $\frac{m_A}{m_B} = 0.6$

#### Work Step by Step

We know that $F = ma$. So; (a) Object B must have the largest mass since object B's acceleration is the smallest. (b) Object C must have the smallest mass since object C's acceleration is the largest. (c) $F = m_A~a_A = m_B~a_B$ $\frac{m_A}{m_B} = \frac{a_B}{a_A}$ $\frac{m_A}{m_B} = \frac{3~m/s^2}{5~m/s^2}$ $\frac{m_A}{m_B} = 0.6$

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