Two carts on horizontal straight rails are pushed apart by an explosion of a point charge Q placed between the carts. suppose the coefficient of friction of the two are equal and 200 kg cart travels a distance of 36 m and stops. The distance covered by the cart weighing 300 kg is

12m

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16 m

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24 m

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32 m

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Solution

The correct option is A 24 m
Since force applied on both the carts would be same,
$∴ m_{1} a_{1} = m_{2} a_{2}$
i.e.
$m_{1} s_{1} = m_{2} s_{2}$
$∴ 300 \times s_{1} = 200 \times 36$
$∴ s_{1} = 24$ m

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Two carts on horizontal straight rails are pushed apart by an explosion of a point charge Q placed between the carts. suppose the coefficient of friction of the two are equal and 200 kg cart travels a distance of 36 m and stops. The distance covered by the cart weighing 300 kg is

The correct option is A 24 mSince force applied on both the carts would be same,∴m1a1=m2a2i.e.m1s1=m2s2∴300×s1=200×36∴s1=24 m

The correct option is A 24 m
Since force applied on both the carts would be same,
$∴ m_{1} a_{1} = m_{2} a_{2}$
i.e.
$m_{1} s_{1} = m_{2} s_{2}$
$∴ 300 \times s_{1} = 200 \times 36$
$∴ s_{1} = 24$ m