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Question

A force produces an acceleration of $$4\, m/s^2$$ in a body of mass $$m_1$$ and the same force produces an acceleration of $$6 ms^{-2}$$ in another body of mass $$ m_2 $$. If the same force is applied to ($$ m_1\, +\, m_2 $$), then the acceleration will be :


A
10 m/s2
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B
2 m/s2
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C
2.4 m/s2
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D
5.4 m/s2
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Solution

The correct option is C $$2.4$$ $$m/s^{ 2}$$
As we know that $${FORCE}$$=$${MASS}$$$$\times$$$${ACCELERATION}$$
SO $${F}_{1}$$=$${m}_{1}$$$$\times 4$$
$${F}_{2}$$=$${m}_{2}$$$$\times 6$$
now for combined system total acceleration will be $$"a"=\dfrac{{F}}{{m}_{1}+{m}_{2}}$$
$${m}_{1}$$=$$\dfrac{F}{4}$$
$${m}_{2}$$=$$\dfrac{F}{6}$$
so put the value of $${m}_{1}$$ and $${m}_{2}$$ we find
$${a}_{total}=2.4m/{s}^{2}$$

Physics

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