Friction

In the above diagram, object \(A\) weighing \(6 \text{ kg}\) is on a frictionless desk. Object \(B\) weighing \(3 \text{ kg}\) is sits atop \(A,\) moving together with it due to friction. Object \(C\) weighing \(1 \text{ kg}\) is connected with object \(B\) by a pulley. Which of the following statements is correct?

\(a)\) The magnitude of the force with which the string is pulling object C is \(9\) N.
\(b)\) The direction of the friction force upon object \(B\) is the same as the direction of motion of object \(A.\)
\(c)\) The magnitude of the friction force upon object \(B\) is \(6\) N.

Gravitational acceleration is \( g= 10 \text{ m/s}^2. \)

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