How Is Total Pressure Calculated in Water?

Click For Summary
Total pressure in water is calculated using the equation Pnet = Pair + ρgh, where Pair is the air pressure, ρ is the water density, g is the acceleration due to gravity, and h is the depth. Given the values of air pressure at 10^5 Pa, water density at 10^3 kg/m^3, and a depth of 2m, the calculation results in Pnet = 10^5 + (10^3 * 10 * 2). The correct total pressure is not explicitly calculated in the discussion, but the process highlights a common mistake in not performing the final calculation. The discussion emphasizes the importance of proper scientific notation in presenting answers.
NooDota
Messages
68
Reaction score
0

Homework Statement



Assuming g = 10 ms^-2 and the volumetric mass for water is 10^3 kg.m^-3 and the air pressure is 10^5 Pa, the total pressure on a point inside the water that's in equilibrium with a distance of 2m from its free surface is:

A. 0.8 * 10^5

B. 1.002 * 10^5

C. 1.2 * 10^5

D. 1.02 * 10^5

Homework Equations

The Attempt at a Solution



What I did was apply: Pnet = Pair + ρ*g*h

Pnet = 10^5 + 10^3 * 10 * 2

Pnet = 10^5 + 10^4 *2What am I doing wrong?
 
Physics news on Phys.org
Why do you think you are doing something wrong?
 
Oh nevermind, lock this.

I never bothered to actually calculate how much is 10^5 + 10^4 * 2
 
Try writing your answer in proper scientific notation...
 
:oldsurprised:
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

Similar threads

  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 23 ·
Replies
23
Views
1K
Replies
15
Views
535
  • · Replies 7 ·
Replies
7
Views
2K
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
19
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K