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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
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

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