   Chapter 4, Problem 90AP

Chapter
Section
Textbook Problem

A fire helicopter carries a 620-kg bucket of water at the end of a 20.0-m-long cable. Flying back from a fire at a constant speed of 40.0 m/s, the cable makes an angle of 40.0° with respect to the vertical. Determine the force exerted by air resistance on the bucket.

To determine
The force exerted by air resistance.

Explanation

Given Info: Helicopter carries a 620 kg bucket of water at the end of a 20.0 m long cable.  Speed is 40.0 m/s. Angle of inclination of the cable is 40ο .

The free body diagram is given below.

From the diagram,

Tsin40°=Fair (I)

Tcos40°=mg (II)

• T is the tension in the cable.
• m is the mass of the bucket of water.
• g is the acceleration due to gravity
• Fair is the force exerted by the air resistance.

Divide Equation (I) by (II) and re-arrange to get Fair .

Fair=mgtan40°

Substitute 620 kg for m and 9

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 