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A force $F_{1}$ acting on a 2.0 kg body produces an acceleration of $2.5 {m/s}^{2}$ . Another force $F_{2}$ acting on a 5.0 kg body produces an acceleration of $2.0 {m/s}^{2}$ . Find the ratio $F_{2} {/F}_{1}$

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1 : 2

2 : 1

3 : 2

2 : 3

answer is B.

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Detailed Solution

F_{1} = 2 \times 2.5 = 5 N

$F_{2} = 5 \times 2 = 10 N$

$\frac{F_{2}}{F_{1}} = \frac{10}{5} = \frac{2}{1}$

$F_{2} : F_{1} = 2 : 1$

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