a flight attendant pulls her 70 kg flight bag in an airport terminal holding the handle 50 degrees above the horizontal. she pulls the bag a distance of 200 m while exerting a 40 n force acting along the handle with a constant speed how much work does the flight attendant perform how much work does friction perform and what is the coefficient of friction

To find the work done by the flight attendant and the work done by friction, we need to consider the force applied (40 N), the distance traveled (200 m), and the angle between the force and the direction of displacement (50 degrees). We'll begin by finding the work done by the flight attendant.

1. Work done by the flight attendant:
The work done by an object can be calculated using the formula:
Work = Force * Distance * cos(theta)

In this case,
Force = 40 N (the force exerted by the flight attendant)
Distance = 200 m (the distance the bag is pulled)
theta = 50 degrees (the angle between the force and the direction of displacement)

First, we need to find the component of the force in the direction of displacement:
Force component = Force * cos(theta)
Force component = 40 N * cos(50 degrees)

Now we can calculate the work done by the flight attendant:
Work done = Force component * Distance
Work done = (40 N * cos(50 degrees)) * 200 m

2. Work done by friction:
Since the speed is constant, that means there is no change in kinetic energy. Therefore, the net work done on the bag is zero. The work done by friction is equal in magnitude but opposite in sign to the work done by the flight attendant.

3. Coefficient of friction:
The coefficient of friction (μ) can be determined using the formula:
Friction force = μ * Normal force

Since the vertical component of the flight bag's weight is balanced by the normal force, the vertical forces cancel each other out. Consequently, the normal force only contributes to the horizontal component of the weight:
Normal force = Weight * cos(theta)
Normal force = mass * gravity * cos(theta)

Now, substitute the value of the normal force back into the friction force formula:
Friction force = μ * (mass * gravity * cos(theta))

Since we know the friction force is equal and opposite to the force exerted by the flight attendant (40 N):
40 N = μ * (70 kg * 9.8 m/s^2 * cos(50 degrees))

Now we can solve for the coefficient of friction (μ).

By following these steps, you can determine the work done by the flight attendant, the work done by friction, and the coefficient of friction.