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Standard XII

Physics

Springs in Parallel and Series

Consider two ...

Question

Consider two blocks of masses $5 k g$ and $10 k g$ as shown connected by a massless spring. A force of $100 N$ acts on $10 k g$ mass as shown. At a certain instant, the acceleration of $5 k g$ mass is $12 m s^{- 2}$ . Find the acceleration of $10 k g$ mass.

1 m s^{- 2}

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4 m s^{- 2}

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6 m s^{- 2}

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8 m s^{- 2}

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Solution

The correct option is B $4 m s^{- 2}$

For $5 k g$ mass, , $T = 5 \times 12 = 60 N$
For $10 k g$ mass, $100 - T = 10 a$
$\Rightarrow 100 - 60 = 10 a$
$\Rightarrow a = 4 m s^{- 2}$

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Consider two blocks of masses 5 kg and 10 kg as shown connected by a massless spring. A force of 100 N acts on 10 kg mass as shown. At a certain instant, the acceleration of 5 kg mass is 12 ms−2. Find the acceleration of 10 kg mass.

The correct option is B 4 ms−2 For 5 kg mass, , T=5×12=60 N For 10 kg mass, 100−T=10a ⇒100−60=10a ⇒a=4 ms−2

Consider two blocks of masses $5 k g$ and $10 k g$ as shown connected by a massless spring. A force of $100 N$ acts on $10 k g$ mass as shown. At a certain instant, the acceleration of $5 k g$ mass is $12 m s^{- 2}$ . Find the acceleration of $10 k g$ mass.

The correct option is B $4 m s^{- 2}$

For $5 k g$ mass, , $T = 5 \times 12 = 60 N$
For $10 k g$ mass, $100 - T = 10 a$
$\Rightarrow 100 - 60 = 10 a$
$\Rightarrow a = 4 m s^{- 2}$