The work done by the cyclist is given by the formula:

\(\text{Work done by cyclist} = \text{Force} \times \text{Distance} = 100 \times 50 = 5000 \text{ J}\)

The net work done is the work done by the cyclist minus the work done against the resistance force:

\(5000 - 3560 = 1440 \text{ J}\)

This net work done is equal to the change in kinetic energy of the cyclist and bicycle:

\(\frac{1}{2} m v^2 = 1440\)

Substitute \(v = 6 \text{ m s}^{-1}\):

\(\frac{1}{2} m (6)^2 = 1440\)

\(18m = 1440\)

\(m = \frac{1440}{18} = 80 \text{ kg}\)

Therefore, the total mass of the cyclist and bicycle is 80 kg.