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Two bodies have masses in the ratio3:1. They experience f...

Two bodies have masses in the ratio3:1. They experience forces which impart to them, acceleration in the ratio 2:9 respectively. Find the ratio of forces the masses experienced

A.

1:4

B.

2:1

C.

2:3

D.

2:5

View answer & explanation

Correct answer is C

Given $\frac{m_{1}}{m_{2}} = \frac{3}{1}$ $\Rightarrow$ m $_{1}$ = 3m $_{2}$

$\frac{a_{1}}{a_{2}} = \frac{2}{9}$ = a $_{1}$ = $\frac{2a_{2}}{9}$

$\frac{F_{1}}{F_{2}}$ = ?

Since F = ma

$\Rightarrow$ $\frac{F_{1}}{F_{2}} = \frac{m_{1}a_{1}}{m_{2}a_{2}}$ = $\frac{(3 \not m_{2})(2 \not a_{2})}{\not m_{2} a_{2} \not a_{3}}$

$\frac{F_{1}}{F_{2}} = \frac{2}{3}$ $\Rightarrow$ 2:3

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