On a smooth horizontal surface two blocks of mass $2 k g$ and $8 k g$ are places as shown. Two horizontal forces of $10 N$ and $50 N$ are being applied as shown. What is the accelerations of the blocks?

2 m / s^{2}

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3 m / s^{2}

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4 m / s^{2}

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0 m / s^{2}

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Solution

The correct option is C $4 m / s^{2}$
Acceleration= $\frac{n e t f o r c e}{t o t a l m a s s}$
Acceleration= $\frac{50 - 10}{2 + 8}$
Acceleration= $4 m s^{- 2}$

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A 2 kg block is placed over a 4 kg block and both are placed on a smooth horizontal surface. The coefficient of friction between the blocks is 0.20. Find the acceleration of the two blocks if a horizontal force of 12 N is applied to the upper block. Take g = 10 $m / s^{2}$ .

$T w o b l o c k s o f m a s s 4 k g a n d 2 k g a r e p l a c e d s i d e b y s i d e o n a s m o o t h h o r i z o n t a l s u r f a c e a s s h o w n i n t h e f i g u r e . A h o r i z o n t a l f o r c e o f 20 N i s a p p l i e d o n 4 k g b l o c k . F i n d t h e a c c e l e r a t i o n o f e a c h b l o c k .$