a flight attendant pulls her 75 N flight bag a distance of 325 m along a level airport floor at a constant velocity. the force she exerts is 39 N at an angle of 57 degrees above the horizontal. calculate the coefficient of kinetic friction between the flight bag and the floor.

The value of the friction force equals the horizontal component of the pulling force,

Ff = 39 cos57 = 21.2 N

Divide that force by the weight (M*g)to get the kinetic friction coefficient.

To calculate the coefficient of kinetic friction between the flight bag and the floor, we need to follow these steps:

Step 1: Find the horizontal component of the force the flight attendant exerts.
F_horizontal = F * cosθ
F_horizontal = 39 N * cos(57°)
F_horizontal ≈ 20.02 N

Step 2: Calculate the work done by the flight attendant in pulling the flight bag using the equation:
Work = Force * Distance
Work = F_horizontal * d
Work = 20.02 N * 325 m
Work ≈ 6,506.5 J

Step 3: Calculate the total work done against frictional forces. Since the velocity is constant, the total work done against frictional forces will be equal to the work done by the flight attendant.
Total work done against friction = 6,506.5 J

Step 4: Use the equation for the work done against friction to find the frictional force:
Work against friction = Frictional force * distance
6,506.5 J = Frictional force * 325 m
Frictional force ≈ 20 N (rounded to two decimal places)

Step 5: Use the equation for the frictional force to find the normal force between the flight bag and the floor:
Frictional force = Coefficient of kinetic friction * Normal force
20 N = Coefficient of kinetic friction * Normal force

Step 6: Calculate the normal force:
Normal force = 20 N / Coefficient of kinetic friction

Step 7: Substitute the given weight of the flight bag to find the coefficient of kinetic friction:
Weight = Normal force
Weight = 75 N

75 N = 20 N / Coefficient of kinetic friction

Step 8: Rearrange the equation and solve for the coefficient of kinetic friction:
Coefficient of kinetic friction = 20 N / 75 N
Coefficient of kinetic friction ≈ 0.267

Therefore, the coefficient of kinetic friction between the flight bag and the floor is approximately 0.267.

To calculate the coefficient of kinetic friction between the flight bag and the floor, we need to use the given information about the force applied and the weight of the flight bag.

Let's break down the given information:

- The force applied by the flight attendant is 39 N at an angle of 57 degrees above the horizontal.
- The weight of the flight bag is 75 N.
- The flight bag is pulled a distance of 325 m at a constant velocity.

First, we need to determine the horizontal and vertical components of the force applied by the flight attendant.

Horizontal Component of Force:
The horizontal component of the force can be calculated using trigonometry:
F_horizontal = F_applied * cos(angle)
F_horizontal = 39 N * cos(57 degrees)
F_horizontal = 20.71 N (rounded to two decimal places)

Vertical Component of Force:
The vertical component of the force can be calculated using trigonometry:
F_vertical = F_applied * sin(angle)
F_vertical = 39 N * sin(57 degrees)
F_vertical = 32.67 N (rounded to two decimal places)

Since the flight bag is moving at a constant velocity, we know that the applied force is equal to the force of kinetic friction.

Force of Kinetic Friction = F_applied = 20.71 N

The force of kinetic friction can be determined using the equation:

Force of Kinetic Friction = coefficient of kinetic friction * Normal Force

Here, the normal force is equal to the weight of the flight bag (75 N).

Plugging in the values, we can solve for the coefficient of kinetic friction:

20.71 N = coefficient of kinetic friction * 75 N

Coefficient of Kinetic Friction = 20.71 N / 75 N

Coefficient of Kinetic Friction = 0.276 (rounded to three decimal places)

Therefore, the coefficient of kinetic friction between the flight bag and the floor is approximately 0.276.