The work done by the tension is calculated using the formula:

\(WD = Fd \cos \alpha\)

where \(F = 6 \text{ N}\) is the tension, \(d\) is the distance traveled, and \(\alpha = 24^\circ\) is the angle.

The distance \(d\) is given by the speed multiplied by time:

\(d = 0.5 \times 8 = 4 \text{ m}\)

Substituting the values into the work done formula:

\(WD = 6 \times 4 \times \cos 24^\circ\)

\(WD = 6 \times 4 \times 0.9135 \approx 21.9 \text{ J}\)