A fire helicopter carries a bucket of water

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SUMMARY

The discussion focuses on a physics problem involving a fire helicopter carrying a bucket of water. The empty bucket has a mass of 580 kg and is suspended by a 20.0 m cable at an angle of 35.0 degrees while flying at a speed of 49.5 m/s. The participants aim to calculate the force of air resistance on the bucket and the mass of the water when the angle changes to 6.30 degrees. Key equations utilized include f=ma and mgsinX, but confusion arises regarding the application of these equations and the need for a force diagram.

PREREQUISITES
  • Understanding of Newton's second law (f=ma)
  • Knowledge of trigonometric functions in physics (sine, cosine)
  • Familiarity with kinematic equations (Vf^2=Vi^2-2ad)
  • Basic concepts of forces acting on objects (force diagrams)
NEXT STEPS
  • Review the application of Newton's second law in dynamic systems
  • Study the role of trigonometry in analyzing forces at angles
  • Learn how to construct and interpret free-body diagrams
  • Explore the principles of fluid dynamics related to buoyancy and mass
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators seeking to clarify concepts related to forces and motion in real-world applications.

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Homework Statement


A fire helicopter carries a bucket of water at the end of a cable 20.0 m long. The empty bucket's mass is 580 kg. As the aircraft flies back from a fire at a constant speed of 49.5 m/s, the cable makes an angle of 35.0 deg with respect to the vertical.
a) Determine the force of air resistance on the bucket. Use g=9.81 m/s2.

b) After filling the bucket with sea water, the pilot returns to the fire at the same speed with the bucket now making an angle of 6.30 deg with the vertical. What is the mass of the water in the bucket?



Homework Equations


f=ma
Vf^2=Vi^2-2ad
mgsinX
ax=gsinX




The Attempt at a Solution


i found acceleration using Vf^2=Vi^2-2ad then i made
Fa-mgsinx=ma
but... i"m not getting the right answer!
b)i would use the same equation as a?
 
Physics news on Phys.org
You found the acceleration of what?

A diagram containing the forces acting on the bucket may help. Right now you seem confused about what is going on.
 

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