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

$1 half mv squared space equals space mgh$
Torricelli’s law is given by the equation above, where m represents the mass, h represents the height, ν represents the velocity, and g is a constant. According to the equation from Torricelli’s law, which of the following is equivalent to the velocity, ν?

2gh
$\frac{1}{2} {ghm}^{2}$
$\sqrt{2 g h}$
$\sqrt{\frac{1}{2} m g h}$

The correct answer is: $square root of 2 g h end root$

Hint:
The concept used in this question is concept of equation.
Rearrange the equation to get equation in terms of v.
Step by step explanation:
Given:
$1 half$ mv² = mgh
Step 1:
Divide both side by m,
$not stretchy rightwards double arrow 1 half mV squared divided by straight m equals mgh divided by straight m$
$not stretchy rightwards double arrow 1 half v squared equals g h$
Step 2:
Multiply both side by 2,
$1 half straight v squared space cross times space 2 equals space gh space cross times space 2$
⇒ v² = 2gh
Step 3:
Take square root on both side
$not stretchy rightwards double arrow space square root of v squared end root space equals space square root of 2 g h end root$
Hence, the value of v is $square root of 2 g h end root.$

Related Questions to study

For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each $1 fifth$ of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?

For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each $1 fifth$ of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?

$straight V equals M over D$
The formula above relates volume V, mass M, and density D. What is density in terms of volume and mass?

$straight V equals M over D$
The formula above relates volume V, mass M, and density D. What is density in terms of volume and mass?

$x to the power of 4 minus 8 x squared plus 16$
Which of the following is equivalent to the expression above?

$x to the power of 4 minus 8 x squared plus 16$
Which of the following is equivalent to the expression above?

parallel

If 7(2x − 5) − 2(2x − 5) = 4(x + 5), what is the value of x?

If 7(2x − 5) − 2(2x − 5) = 4(x + 5), what is the value of x?

$square root of x plus 4 equals 12$
Which of the following is the solution to the equation above?

$square root of x plus 4 equals 12$
Which of the following is the solution to the equation above?

Which of the following is an equation of the line in the xy-plane that has slope 2 and passes through the point (0, 3) ?

Which of the following is an equation of the line in the xy-plane that has slope 2 and passes through the point (0, 3) ?

parallel

f(x) = (2x − 1) + 2
For the function f defined above, what is the value of f(1)?

f(x) = (2x − 1) + 2
For the function f defined above, what is the value of f(1)?

During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
(Note: 1,013mb = 760 mmHg )

During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
(Note: 1,013mb = 760 mmHg )

An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?

An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?

parallel

An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria's car is 0.30 meter, what is the approximate speed of Maria's car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
( 1 kilometer = 1000 meters)

An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria's car is 0.30 meter, what is the approximate speed of Maria's car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
( 1 kilometer = 1000 meters)

Ticket Prices by Row Number

The price of a ticket to a play is based on the row the seat is in, as shown in the table above. A group wants to purchase 10 tickets for the play.
They will purchase 3 tickets for seats in row 1 .
They will purchase 2 tickets for seats in row 3 .
They will purchase 2 tickets for seats in row 4 .
They will purchase 3 tickets for seats in row 12 .
What is the average (arithmetic mean) ticket price, in dollars, for the 10 tickets? (Disregard the $ sign when gridding your answer.)

Ticket Prices by Row Number

The price of a ticket to a play is based on the row the seat is in, as shown in the table above. A group wants to purchase 10 tickets for the play.
They will purchase 3 tickets for seats in row 1 .
They will purchase 2 tickets for seats in row 3 .
They will purchase 2 tickets for seats in row 4 .
They will purchase 3 tickets for seats in row 12 .
What is the average (arithmetic mean) ticket price, in dollars, for the 10 tickets? (Disregard the $ sign when gridding your answer.)

Century and Region of United States Presidents' Births as of 2014

The table above shows the distribution of United States presidents according to the century and the region of the country in which they were born. Based on the information in the table, what fraction of presidents who were not born in the nineteenth century were born in the South?

Century and Region of United States Presidents' Births as of 2014

The table above shows the distribution of United States presidents according to the century and the region of the country in which they were born. Based on the information in the table, what fraction of presidents who were not born in the nineteenth century were born in the South?

parallel

When 9 is increased by 3x, the result is greater than 36 . What is the least possible integer value for x ?

When 9 is increased by 3x, the result is greater than 36 . What is the least possible integer value for x ?

Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy- plane?

Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy- plane?

Thomas is making a sign in the shape of a regular hexagon with 4 -inch sides, which he will cut out from a rectangular sheet of metal, as shown in the figure above. What is the sum of the areas of the four triangles that will be removed from the rectangle?

Thomas is making a sign in the shape of a regular hexagon with 4 -inch sides, which he will cut out from a rectangular sheet of metal, as shown in the figure above. What is the sum of the areas of the four triangles that will be removed from the rectangle?

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.