Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

P = P_o + ρgh
The equation above gives the total pressure, P, on an object submerged in a fluid, where P₀ is the pressure at the fluid’s surface, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth to which the object is submerged. What is h in terms of P, P₀, ρ, and g?

$\frac{ρg}{P - P_{o}}$
$\frac{P - P_{o}}{ρg}$
$\frac{P + P_{o}}{ρg}$
P + P_o + ρg

The correct answer is: $fraction numerator straight P minus straight P subscript straight o over denominator ρg end fraction$

Step by step explanation:
Given:
P = P_o + ρgh
Step 1:
Subtract P_ofrom both side.
⇒ P - P_o = P_o + ρgh - P_o
⇒ P - P_o = ρgh
Step 2:
Divide both side by ρg,
$not stretchy rightwards double arrow fraction numerator straight P minus Po to the power of straight o over denominator rho straight g end fraction equals fraction numerator rho gh over denominator rho straight g end fraction$
$not stretchy rightwards double arrow fraction numerator straight P minus Po subscript straight o over denominator rho straight g end fraction equals straight h$
∴ $h equals fraction numerator P minus P o over denominator rho g end fraction$
Hence, the value of h is $fraction numerator straight P minus Po over denominator rho g end fraction$

Related Questions to study

Which of the following is a graph of a system of equations with no solution?

Which of the following is a graph of a system of equations with no solution?

What was the total distance that Shayla spent walking and running, in kilometers?
(Use 1 mile = 1.61 kilometers)

What was the total distance that Shayla spent walking and running, in kilometers?
(Use 1 mile = 1.61 kilometers)

For gym class, Shayla completed a 4-mile walking and running exercise. She ran for 7t miles and she walked for $3 open parentheses 13 over 15 minus t close parentheses$ miles, where t is the total amount of time, in hours, Shayla spent running. The equation $7 t plus 3 open parentheses 13 over 15 minus t close parentheses equals 4$ models this situation
What is the value of t in the equation that models this situation?

For gym class, Shayla completed a 4-mile walking and running exercise. She ran for 7t miles and she walked for $3 open parentheses 13 over 15 minus t close parentheses$ miles, where t is the total amount of time, in hours, Shayla spent running. The equation $7 t plus 3 open parentheses 13 over 15 minus t close parentheses equals 4$ models this situation
What is the value of t in the equation that models this situation?

parallel

For gym class, Shayla completed a 4-mile walking and running exercise. She ran for 7t miles and she walked for $3 open parentheses 13 over 15 space minus space t close parentheses$ miles, where t is the total amount of time, in hours, Shayla spent running. The equation $7 t plus 3 open parentheses 13 over 15 minus t close parentheses equals 4$ models this situation.
Which of the following is the best interpretation of the value 7 in the equation that models this situation?

For gym class, Shayla completed a 4-mile walking and running exercise. She ran for 7t miles and she walked for $3 open parentheses 13 over 15 space minus space t close parentheses$ miles, where t is the total amount of time, in hours, Shayla spent running. The equation $7 t plus 3 open parentheses 13 over 15 minus t close parentheses equals 4$ models this situation.
Which of the following is the best interpretation of the value 7 in the equation that models this situation?

Jonathan needs to earn at least $175 next week and can work at most 20 hours. He earns $10 per hour at his lawn service job and $8 per hour at his job at the gym. Which of the following systems of inequalities represents this situation in terms of the number of hours he will work at his lawn service job, l, and the number of hours he will work at his job at the gym, g, next week?

Jonathan needs to earn at least $175 next week and can work at most 20 hours. He earns $10 per hour at his lawn service job and $8 per hour at his job at the gym. Which of the following systems of inequalities represents this situation in terms of the number of hours he will work at his lawn service job, l, and the number of hours he will work at his job at the gym, g, next week?

On November 1st, there were 2,500 boxes in a warehouse. On December 1st, there were 15% fewer boxes in the warehouse than there were on November 1st. On January 1st, there were 20% more boxes in the warehouse than there were on December 1st. How many boxes were in the warehouse on January 1st?

On November 1st, there were 2,500 boxes in a warehouse. On December 1st, there were 15% fewer boxes in the warehouse than there were on November 1st. On January 1st, there were 20% more boxes in the warehouse than there were on December 1st. How many boxes were in the warehouse on January 1st?

parallel

Raymond’s weekly income consists of a base salary for a 40-hour work week plus overtime pay. The overtime pay is paid at an hourly rate for the time that Raymond works in addition to his 40-hour work week. Raymond’s weekly income, in dollars, can be represented by the expression 800 + 30x, where x is the total number of hours Raymond works over 40 hours. Which of the following is the best interpretation of the number 800 in this context?

Raymond’s weekly income consists of a base salary for a 40-hour work week plus overtime pay. The overtime pay is paid at an hourly rate for the time that Raymond works in addition to his 40-hour work week. Raymond’s weekly income, in dollars, can be represented by the expression 800 + 30x, where x is the total number of hours Raymond works over 40 hours. Which of the following is the best interpretation of the number 800 in this context?

Which of the following equivalent forms of the function f(x) = 4x² + 4x − 24 is the most suitable to indicate the x-coordinates of the x‑intercepts of the graph of y = f(x) in the xy‑plane?

Which of the following equivalent forms of the function f(x) = 4x² + 4x − 24 is the most suitable to indicate the x-coordinates of the x‑intercepts of the graph of y = f(x) in the xy‑plane?

An electric company charges Jerome $0.05 per kilowatt-hour (kWh) of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?

An electric company charges Jerome $0.05 per kilowatt-hour (kWh) of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?

parallel

If $y equals x plus 1 half$ and z = 2x − 3, which of the following is equivalent to y + yz =?

If $y equals x plus 1 half$ and z = 2x − 3, which of the following is equivalent to y + yz =?

5(x − 3) = (10x + 5)
What value of x satisfies the equation above?

5(x − 3) = (10x + 5)
What value of x satisfies the equation above?

$left parenthesis x minus 6 right parenthesis squared space plus space left parenthesis y minus 3 right parenthesis squared equals 25$
The graph in the xy-plane of the equation above is a circle. If the circle is translated downward a units such that the circle is tangent to the x-axis, the equation becomes
$left parenthesis x minus 6 right parenthesis squared plus left parenthesis y minus 3 plus a right parenthesis squared equals 25$ What is the value of a?

$left parenthesis x minus 6 right parenthesis squared space plus space left parenthesis y minus 3 right parenthesis squared equals 25$
The graph in the xy-plane of the equation above is a circle. If the circle is translated downward a units such that the circle is tangent to the x-axis, the equation becomes
$left parenthesis x minus 6 right parenthesis squared plus left parenthesis y minus 3 plus a right parenthesis squared equals 25$ What is the value of a?

parallel

4x - 5y = 2
The graph of the equation above in the xy-plane is a line. What is the x-coordinate of the x-intercept of the line?

4x - 5y = 2
The graph of the equation above in the xy-plane is a line. What is the x-coordinate of the x-intercept of the line?

m + 2p = 24
m + p = 10
If (m₁ p₁) is the solution to the system of equations above, what is the value of p₁?

m + 2p = 24
m + p = 10
If (m₁ p₁) is the solution to the system of equations above, what is the value of p₁?

$5 left parenthesis x plus a right parenthesis plus 3 open parentheses x squared minus a close parentheses equals 3 x squared plus 5 x plus 2$
In the equation above, a is a constant. If the equation is true for all values of x, what is the value of a?

$5 left parenthesis x plus a right parenthesis plus 3 open parentheses x squared minus a close parentheses equals 3 x squared plus 5 x plus 2$
In the equation above, a is a constant. If the equation is true for all values of x, what is the value of a?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.