Buoyant Force and Floating Objects in Accelerated Water

  • Thread starter Thread starter destinee20
  • Start date Start date
  • Tags Tags
    Buoyancy Water
Click For Summary
SUMMARY

The discussion centers on calculating the buoyant force acting on a 3.0-kg granite rock submerged in water that is accelerated upward at 2.4g. The buoyant force (Fb) must exceed the gravitational force (mg) for the rock to float. Given the specific gravity (SG) of granite is 2.7, the rock will not float under these conditions as the increased buoyant force due to acceleration does not surpass the weight of the rock. The key takeaway is that the buoyant force is influenced by both the density of the rock and the acceleration of the water.

PREREQUISITES
  • Understanding of buoyant force and Archimedes' principle
  • Knowledge of specific gravity and its implications
  • Familiarity with Newton's laws of motion, particularly in accelerated frames
  • Basic calculations involving mass, weight, and density
NEXT STEPS
  • Study the principles of buoyancy in accelerated fluids
  • Learn about specific gravity calculations and their applications
  • Explore Newton's laws of motion in non-inertial reference frames
  • Investigate real-world applications of buoyant force in engineering
USEFUL FOR

Physics students, educators, and anyone interested in fluid dynamics and the principles of buoyancy in accelerated systems.

destinee20
Messages
6
Reaction score
0
Hi I have this problem and I don't fully understand how to get started, so please help. Thanks

A bucket of water is accelerated upward at 2.4g. What is the buoyant force on a 3.0-kg granite rock (SG=2.7) submerged in the water? Will the rock float? Why or why not?

I know that it would float if Fb>mg

...I'm just confused... please help thanks
 
Physics news on Phys.org
destinee20,

Well...as a rule do rocks usually float?

After you answer that, try imagining what it would be like to actually do this experiment. You have a bucket of water with a rock in it (either floating or not, depending on how you answered my first question). What do you have to do to make the bucket "accelerate upward"?
 
the buoyant force will increase, but the "gravitational" force will increase as well. The resultang force will be proprtional to the difference between the water and rock densities, and this difference does not depend on the "gravitation".
 

Similar threads

Volume's effect on buoyancy: Does pressure increase?
  • · Replies 11 ·
Replies
11
Views
2K
What Is the Connection Between Buoyancy and Apparent Mass?
  • · Replies 2 ·
Replies
2
Views
2K
Buoyancy: Will the Object float or sink or remain at a depth?
  • · Replies 11 ·
Replies
11
Views
3K
Buoyant Force and Archimedes' Principle
  • · Replies 13 ·
Replies
13
Views
3K
Oil & Water Problem: Ball Float 50% in Water - Why Does It Rise?
  • · Replies 4 ·
Replies
4
Views
2K
Yes, that makes sense. Thank you for pointing that out.
  • · Replies 8 ·
Replies
8
Views
2K
Weight of water with objects floating
  • · Replies 13 ·
Replies
13
Views
4K
Buoyancy of Balls A and B in a Swimming Pool
  • · Replies 10 ·
Replies
10
Views
2K
Archimede's Principle and Work due to buoyant force
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad What happens to the buoyant force at the surface of the water?
  • · Replies 11 ·
Replies
11
Views
2K