Question

A flight attendant pulls her 64 N flight bag a distance of 350 m along a level airport floor at a constant velocity. The force she exerts is 39 N at an angle of 59° above the horizontal.

Find the work she does on the flight bag.

Answer 1

The work done on the flight bag by the flight attendant is determined using the horizontal component of the applied force and the distance traveled. The horizontal component is found using the cosine of the angle, and work is calculated as the product of this force component and the distance.

Step-by-step explanation:

The student is asking about the work done on a flight bag by a flight attendant. Work can be found using the formula W = F × d × cos(θ), where W is work, F is the force applied, d is the distance the object has moved along the direction of the force, and θ is the angle of the applied force relative to the direction of motion.

Given that the force exerted is 39 N at an angle of 59 degrees above the horizontal and the distance is 350 m, we calculate the horizontal component of the force as Fx = F × cos(θ) = 39 N × cos(59°). The work done by the flight attendant on the flight bag is then W = Fx × d.

The calculation will be:

• First, calculate the horizontal component of the force: Fx = 39 N × cos(59°)
• Then, calculate the work done: W = Fx × 350 m

After doing the math, you'll get the answer in joules (J), which is the unit of work.