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

4 m s^{- 2}, 2 m s^{- 2}

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2 m s^{- 2}, 2 m s^{- 2}

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3 m s^{- 2}, 3 m s^{- 2}

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4 m s^{- 2}, 1 m s^{- 2}

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Solution

The correct option is C $4 m s^{- 2}, 1 m s^{- 2}$
The correct option is D.

Given,

$m a s s e s = 2 k g, 4 k g$

Coefficient $0.20$

Force $= 12 N$

$R_{1} - 2 g = 0$

$R_{1} = 2 x 10 = 20$

$2 a + 0.2 R_{1} - 12 = 0$

$2 a + 0.2 (20) = 12$

$2 a = 12 - 4$

$a = 4 m / . s^{2}$

Again,

$4 a - μ R_{1} = 0.2 (20) = 4$

$a_{1} = 1 m / s^{2}$

$2 k g$ block has acceleration $4 m / s^{2}$ and that of $4 k g$ is $1 m / s^{2}$

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Similar questions

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 $m / s^{2}$ .

Q. 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 block is 0.20. Find the acceleration of the two blocks if a horizontal force of 12 N is applied to (a) the upper block, (b) the lower block. Take g = 10 m/s².

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block, accelerations of the two bodies in

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Q. Two blocks A and B of masses 10 kg and 15 kg are placed in contact with each other rest on a rough horizontal surface as shown in the figure. The coefficient of friction between the blocks and surface is 0.2. A horizontal force of 200 N is applied to block A. The acceleration of the system is: (Take

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A block of mass 5 kg is lying on a rough horizontal surface. The coefficients of static and kinetic friction between the block and the surface respectively are 0.7 and 0.5. A horizontal force just sufficient to move the block is applied to it. If the force continues to act even after the block has started moving, what will be the acceleration of the block? Take $g = 10 m s^{- 2}$ .

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A 2kg block is placed over a 4kg block and both are placed on a smooth horizontal surface. The coefficient of friction between the blocks is 0.20. The acceleration of the two blocks if a horizontal force of 12N is applied to the upper block (g=10ms−2)

The correct option is C 4ms−2,1ms−2The correct option is D.Given,masses=2kg,4kg Coefficient 0.20Force =12NR1−2g=0R1=2x10=202a+0.2R1−12=02a+0.2(20)=122a=12−4a=4m/.s2Again, 4a−μR1=0.2(20)=4a1=1m/s22kg block has acceleration 4m/s2 and that of 4kg is 1m/s2

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