Three blocks A, B and C, of masses 4kg, 2kg 1kg and respectively,...

Three blocks A, B and C, of masses

4kg, 2kg

1kg

and respectively, are in contact on a frictionless surface, as shown. If a force of

14N

is applied on the

4kg

block, then the contact force between A and B is:

Three blocks A, B and C, of masses 4kg, 2kg 1kg and respectively, are in contact on a frictionless surface, as shown.

Three blocks A, B and C, of masses 4kg, 2kg 1kg and respectively, are in contact on a frictionless surface, as shown.

Options

A $2N$
B $6N$
C $8N$
D $18N$

Correct answer

B. $6N$

Step-by-step solution

\begin{aligned} & F=M a=\left(M_a+M_b+M_c\right) a \\ & 14=(4+2+1) a=7 a \\ & a=2 \end{aligned}

) Let (F^{\prime}) be

the

contact force between (\mathrm{A} ~\&~ \mathrm{~B}), Three blocks A, B and C, of masses 4kg, 2kg 1kg and respectively, are in contact on a frictionless surface, as shown.

\begin{aligned} & F-F^{\prime}=4 a \\ & 14-F^{\prime}=4 a=4 \times 2 \\ & F^{\prime}=6 N\end{aligned}

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