The blocks shown in figure (9-E19) have equal masses. The surface of \( A \) is smooth but that ...

The blocks shown in figure (9-E19) have equal masses. The surface of \( A \) is smooth but that of \( B \) has a friction coefficient of \( 0 \cdot 10 \) with the floor. Block \( A \) is moving at a speed of \( 10 \mathrm{~m} / \mathrm{s} \) towards \( B \) which is kept at rest. Find the distance travelled by \( B \) if (a) the collision is perfectly elastic and (b) the collision is perfectly inelastic. Take \( g \) \( =10 \mathrm{~m} / \mathrm{s}^{2} \).