1.1. Figure 1 shows a box $B$ of mass 2 kg resting on a rough horizontal table. It is connected by a light inextensible string to a metal sphere $A$ of mass 1 kg. The string passes over a smooth light fixed pulley at the edge of the table so that $A$ is hanging vertically downwards.

The string between $B$ and the pulley is horizontal, and the magnitude of the frictional force between $B$ and the table is 7.7 N.

The system is released from rest with the string taut.

Calculate

(i) the initial acceleration of the two objects,

(ii) the tension in the string as $A$ descends.

1.2. After descending for 1.5 seconds, sphere $A$ strikes the ground and immediately comes to rest. 

When $A$ strikes the ground, box $B$ is exactly 14 cm from the pulley.

Determine if $B$ will strike the pulley before friction causes it to come to rest.

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