What Effects Will the New Sphere Have on Water Level L?

AI Thread Summary
The discussion focuses on the effects of replacing a small solid sphere in water with a new sphere of varying size and density on the water level L. The scenarios include changes in radius and density, with outcomes ranging from the water level rising, falling, or remaining unchanged. The participant initially speculated on the outcomes for each case but expressed uncertainty about one scenario. Ultimately, they resolved their confusion regarding the last case. The conversation highlights the relationship between an object's density, mass, and buoyancy in determining water displacement.
needhelpfast
Messages
20
Reaction score
0

Homework Statement



A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.
Read it to me
The new sphere has radius R > R0 and mass M = M0
The new sphere has mass M = M0 and density ρ > ρ0
The new sphere has mass M > M0 and density ρ = ρ0
The new sphere has radius R = R0 and mass M < M0
The new sphere has radius R < R0 and density ρ = ρ0
The new sphere has radius R < R0 and density ρ > ρ0

Homework Equations




The Attempt at a Solution



I said unchanged, falls/unchanges, rises, falls, falls and then i wasn't sure for the last one. Please Help!
 
Physics news on Phys.org
nevermind, got it!
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Water Level: Effects of New Sphere on L
Replies
2
Views
2K
Water level involving Density, mass, volume, radius
Replies
1
Views
2K
A small solid sphere of mass M0, of radius R0, and of unifor
Replies
3
Views
3K
How Does Replacing a Sphere Affect Water Level in a Bowl?
Replies
7
Views
5K
Effects of New Solid Sphere on Water Level
Replies
1
Views
6K
The possible effects on the water level
Replies
7
Views
3K
Effects on water level when a sphere is replaced by a new solid sphere
Replies
6
Views
3K
Determine the possible effects on the water level
Replies
9
Views
8K
I need opinions on a Projectile Motion problem that I made up
Replies
11
Views
2K
Determining Charge from Charge Density
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top