3.
\begin{figure}[h]
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\caption{Figure 2}
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\end{figure}
A light horizontal spring, of natural length 0.25 m and modulus of elasticity 52 N , is fastened at one end to a point \(A\). The other end of the spring is fastened to a small wooden block \(B\) of mass 1.5 kg which is on a horizontal table, as shown in Fig. 2. The block is modelled as a particle.
The table is initially assumed to be smooth. The block is released from rest when it is a distance 0.3 m from \(A\). By using the principle of the conservation of energy,
- find, to 3 significant figures, the speed of \(B\) when it is a distance 0.25 m from \(A\).
It is now assumed that the table is rough and the coefficient of friction between \(B\) and the table is 0.6 .
- Find, to 3 significant figures, the minimum distance from \(A\) at which \(B\) can rest in equilibrium.
(5)