The weight of a bicyclist and bicycle together is 51.0kg how much work has been done if the bicyclist slows down the bicycle from a seed of 3.95 m/s to 1.31 m/s

The work done is 354.1032 Joules

Explanation:

To answer the question we note that the amount of work done is equivalent to the reduction in the kinetic energy of the bicyclist and bicycle.

Therefore, initial kinetic energy. KE of the system is given by the following relation;

Final kinetic energy

Where:

v₁ = Initial velocity = 3.95 m/s

v₂ = Final velocity = 1.31 m/s

m = Mass of the bicyclist and bicycle = 51.0 kg

Change in kinetic energy ΔKE;

Therefore, work done = -ΔKE = 354.1032 Joules.