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A man pulling an empty wagon causes it to accelerate at 1.4m/s2 .
What will the acceleration be if he pulls with the same force when the wagon contains a child whose mass is three times that of the wagon?
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$Let,$

$Initial \; mass=m_{1}$

$Initial \; acceleration=a_{1}$

$Final \; mass=m_{2}$

$Final \; acceleration=a_{2}$

$Since,\; force\; is\; constant,$

$m_{1}a_{1}=m_{2}a_{2}$

$\Rightarrow m_{1}\times 1.4=(m_{1}+3m_{1})a_{2}$

$\Rightarrow m_{1}\times 1.4=4m_{1}a_{2}$

$\Rightarrow a_{2}=\frac{1.4}{4}$

$\Rightarrow a_{2}=\boldsymbol{0.35\; ms^{-2}}$

$\boldsymbol{Hence,the\; new\; acceleration\; is\; 0.35\; ms^{-2}.}$

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