Problem-Solving: Determining Force of a Submerged Block with Density and Volume

  • Thread starter Thread starter jrzygrl
  • Start date Start date
AI Thread Summary
To determine the force of the cord on a submerged block with a density of 545 kg/m³ and a volume of 0.645 m³, one must consider the three forces acting on the block: the buoyant force, the gravitational force, and the tension in the rope. The buoyant force can be calculated using the equation F_buoyant = ρ_fluid * V_submerged, where ρ_fluid is the density of the fluid. The gravitational force acting on the block is the product of its density, volume, and gravitational acceleration. The tension in the rope must balance the gravitational force and the buoyant force, leading to the equation T = F_gravity - F_buoyant. Understanding these relationships allows for the successful calculation of the cord's force on the block.
jrzygrl
Messages
16
Reaction score
0
A block with a density of 545 kg/m^{3} and a volume of 0.645 m^{3} is held completely under water by means of a rope. Determine the magnitude of the force of the cord on the block.

Relevant Equations
F_{}buotant = \rho_{}fluidV_{}submerged
Unsure about any others...

I had no idea how to even solve or approach this problem. Much thanks appreciated!
 
Physics news on Phys.org
Draw a free body diagram. There are 3 forces acting on the block: The buoyant force, the gravitational force and the tension in the string.

The gravitational force and the tension are in the same direction, but the buoyant force is in the other. Hence, those two forces must equal the third. Can you solve it now?
 
thanks i understand the problem now
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Similar threads

Ice Core Density Problem (Inspired by NEEM)
Replies
6
Views
523
Buoyant Force and Archimedes' Principle
Replies
13
Views
3K
Newton's law problem: Pushing 2 stacked blocks on a horizontal table
Replies
13
Views
3K
Confusion on product rule for mass of differential volume element
Replies
4
Views
2K
Block hanging from cord submerged in water, find density
Replies
23
Views
4K
Hollow sphere half submerged in a liquid, find density
Replies
13
Views
8K
Finding the density of a block in two layers of liquids
Replies
6
Views
2K
How much of the wooden timber was submerged in water?
Replies
2
Views
1K
Find the weight of a partially submerged cylinder
Replies
25
Views
4K
Wooden Cube submerged length and the carry limit
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top