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
B
2 m/s2
C
2.4 m/s2
D
5.4 m/s2

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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