Final answer:
To calculate the work done by the frictional force, multiply the force exerted by friction by the distance traveled. Use Newton's second law to find the force, and the given distance for the distance traveled.
Step-by-step explanation:
To calculate the work done by the frictional force, we can use the work-energy theorem. The work done by a force is defined as the product of the force and the distance over which it is applied. In this case, the force is the frictional force and the distance is the distance the fuzz falls. The work done by friction can be calculated using the formula: work = force * distance.
First, we need to find the force exerted by friction. This can be calculated using Newton's second law, which states that force is equal to mass times acceleration. In this case, the mass of the fuzz is given as 0.002g, which is equal to 0.002 * 10^-3 kg. The acceleration due to gravity is approximately 9.8 m/s^2. Therefore, the force exerted by friction is force = mass * acceleration.
Once we have the force, we can calculate the work done by multiplying it by the distance traveled. The distance traveled by the fuzz is given as 2m. Therefore, the total work done by the fuzz due to the frictional force is work = force * distance.