Determine the initial acceleration (positive if to the right, negative if to the left) of the 11-kg block if (a) T = 12 N and (b) T = 14 N. The system is initially at rest with no slack in the cable, and the mass and friction of the pulleys are negligible.

a) 12/11  m/sec²

b) 14/11  m/sec²

Explanation:

Since the direction of where the cable connects from is not given, it is assumed the block lies on horizontal ground and is being pulled from the right side by the cable.

Using the equation and plugging in the values we get

and

Solving for both we get the answers stated above.

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