Find height of ball under water beam

AI Thread Summary
To find the height of a 250 g ball supported by a water jet from a 12 mm nozzle at 10 m/s, one must consider the forces acting on the ball and the potential energy involved. The discussion highlights confusion regarding the relationship between the sum of forces and potential energy in this context. Participants express concerns about the accuracy of the calculations, suggesting that basic dimensional analysis indicates potential errors. The importance of maintaining the integrity of the water stream and accounting for energy conservation in the jet stream is emphasized. Accurate calculations are crucial for determining the correct height of the ball above the nozzle.
Huumah
Messages
27
Reaction score
0

Homework Statement


5XZ3M.png


The 250 g ball is supported by the vertical beam of fresh water which issues from the 12 mm diameter nozzle with a velocity of 10 m/s. Calculate the height h of the ball above the nozzle. Assume the stream remains intact and there is no energy lost in the jet stream


2. The attempt at a solution

STX31.jpg


I don't have answers to the problem, I'm just wondering if I did it right?
 
Physics news on Phys.org
How do you have the sum of the forces equal to the potential energy? Basic dimensional analysis would show that your answer is wrong.
 

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

Will the displacement of a solid ball affect the water level?
Replies
7
Views
2K
Calculating the Force on a Fire Truck Pumping Water onto a Burning Building
Replies
5
Views
4K
Sanity check on falling steel ball in water
Replies
5
Views
2K
Find Time to Reach Top of Beaker (10 cm)
Replies
16
Views
2K
How to find distance when a ball rolls slope with angle?
Replies
1
Views
1K
Find the buildings height for two balls to land @ same time
Replies
1
Views
2K
Mechanics -- Converting volumetric flow rate to nozzle velocity
Replies
6
Views
5K
I Find Best Water Nozzle Type & Pressure for Longest Distance
Replies
32
Views
9K
Solving Free Fall Problem: Ball Speed & Heights
Replies
19
Views
16K
What is the velocity of the ball after H height? Considering wind resistance?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top