prove that v^2=2gh is dimensionally correct.​

Answers

Answer 1

Answer:

The formula is correct.

Explanation:

The given expression is :

[tex]v^2=2gh[/tex]

Where

v is the velocity

g is acceletion due to gravity

h is height

Taking LHS,

The dimensional formula for [v] = [LT⁻¹]

[v²] = [L²T⁻²]

Taking RHS,

The dimensional formula for [g] = [LT⁻²]

The dimensional formula for [h] =[L]

2gh = [LT⁻²][L]

= [L²T⁻²]

So, LHS =  RHS

So, the given formula is correct dimensionally.


Related Questions

Three balls with different masses are shown below.
(picture of beach ball) - 85g
(picture of football) 425g
(picture of baseball) - 149g
If the same amount of kicking force is applied to each ball, which will travel the farthest?
F - They will all travel the same distance because the applied force is the same
G - the baseball because it's the smallest
H - The football because it has the highest mass and was designed for kicking
J - the beach ball because it has the lowest mass
(btw it's a football, not soccer ball)

Answers

Answer:

$10 a g

Explanation:

Answer:

As The mass of the beach ball is having lowest magnitude when compared with the other balls given so when apply the same magnitude of force to all the balls then the beach ball due to its lighternessand also its inertia of rest would not resist the force so much so when you apply the force to this ball it would starts to roll and covers the maximum diatance whwn compared with the other ball only in the condition when same magnitude of force applied.Thats this ball would do more work than the other ball.The mass also influences the velocity carried by the body and also the kinetic energy possessed by the body. More the force applied more the distance it would cover

Hope it helps

Of the following, which is a renewable energy resource?

a.

coal

c.

geothermal energy

b.

kerosene

d.

natural gas



Please select the best answer from the choices provided


A

B

C

D

Answers

natural gas djdjdjjdjdjdjd

coal or natural gas i think

A scholar climbs up 8 m of stairs while using 500 J of work in 10 seconds.
What is their power?

Answers

Answer:

according to the new geometry lesson alcometry which will after 11 years in geometry

what is the full name of the units used for frequency?

Answers

The name is Hertz (symbol Hz)

Some giant ocean waves have a wavelength of 25 m and a frequency of
0.26 Hz. What is the wavespeed of such a wave? *

Answers

Answer:

Explanation:

The frequency equation for waves is

[tex]f=\frac{v}{\lambda}[/tex] where f is the frequency, v is the velocity, and lambda is the wavelength. Filling in:

[tex].26=\frac{v}{25}[/tex] so

v = .26(25) and

v = 6.5 meters/second

1) Complète les phrases suivantes en remplaçant
chaque numéro par le mot convenable:
• Pour l'oeil 1, l'image est formée en avant de la
rétine, car l'oeil est trop long.
• Pour l'oeil 2, l'image est formée derrière la
rétine, car l'oeil est plus court.
2) Trouve la place de la lentille convergente, ainsi
que les 2 foyers principaux (F) et (F').

Answers

Answer:

si?

Explanation:

definition La myopie. L'oeil myope est trop long ou le cristallin trop convergent. L'image d'un objet à l'infini se forme en avant de la rétine. Le punctum remotum est ... i dont know sorry

A car begins at rest (0 velocity), 5 seconds later it is travelling at 20 meters/per second. What was the acceleration of the vehicle during these 5 seconds
Please help ASAP

Answers

use the formula

v= u+ at

v is final velocity , u is initial velocity , a is acceleration and t is time

put the values

20 = 0+ a×5

a = 4 m/s²

Answer:

Initial velocity(u)=0

Final velocity(v) =20 meters/ second

Time(t)=5

Acceleration (a)=?

a=v-u/t

a=20-0/5

a=20/5

a=4meters/second

A man holds a rectangular card in front of and parallel to a plane mirror. In order for him to see the entire image of the card, what is the least mirror area needed ?

Answers

Answer:

mark as the brainly olss

The base for hair follicles is in the _____.

epidermis
fatty layer
dermis
dentin

Answers

Answer:

dermis

Explanation:

epidermis

dermis

hypodermis

What are action and reaction forces, and how do they impact an object's motion?

Answers

Action-reaction forces are equal and opposite forces that act on different objects, so they don't cancel out. In fact, they often result in motion. Think about Jerod again. He applies force with his foot to the ground, whereas the ground applies force to Jerod and the skateboard, causing them to move forward.

Hope this helps =)

In a launch speed formula vx = d over t, vx is acceleration, d is distance, and t is time.

Answers

Answer:

V of x is the velocity on the x graph so it is false

Hope it helps

Answer: False

Explanation:

Vx can't be acceleration because acceleration is velocity over time not distance over time (the equation for speed)

what we have to do ? please someone help​

Answers

i believe you’re supposed to match the word w/ definition ?

Question:
A race car slows with an average acceleration of –8.0 m/s2 (negative sign shows deceleration). The car’s initial velocity is 100.0 m/s, how far does it travel in 12.0 seconds? Explain how you arrived at your answer?
Use the equations

Answers

Answer:

[tex]624\:\mathrm{m}[/tex]

Explanation:

We can use kinematics equation [tex]\Delta x =v_it+\frac{1}{2}at^2[/tex].

What we're given:

[tex]v_i[/tex] of 100.0 m/s[tex]t[/tex] of 12 s[tex]a[/tex] of -8.0 [tex]\mathrm{m/s^2}[/tex]

Solving for [tex]\Delta x[/tex]:

[tex]\Delta x=100\cdot 12+\frac{1}{2}\cdot -8\cdot 12^2=\boxed{624\:\mathrm{m}}[/tex]

A 51-g rubber ball is released from rest and falls vertically onto a steel plate. The ball strikes the plate and is in contact with it for 0.5 ms.
The ball rebounds elastically and returns to its original height. The time interval for the round trip is 3.00 s. What is the magnitude of the
average force that the plate exerted on the ball?
2490 N
1500 N
2000 N
3500 N
3000 N

Answers

Answer:

F = 3000 N

Explanation:

Let's use the relationship between momentum and momentum

         I =  Δp

         F t = m v_f - m v₀

As the body when bouncing reaches the same height from which it begins to fall, the modulus of speed is the same, but in the opposite direction,

         v_f = - v₀ = v

         F t = m 2v

         F = 2 m v / t          (1)

This is the contact time t = 0.5 ms = 0.5 10⁻³ s

Let's use the kinematics to find the velocity at the point of touching the plate, as the total travel time is 3.0 s, the descent time must be half the total time

          t = 1.5 s

as the body solved its initial velocity is zero

         v = v₀ + g t

         v = g t

         v = 9.8  1.5

         v = 14.7 m / s

we substitute in equation 1

         F = 2 0.051 14.7 / 0.5 10-3

         F = 2,999 103 N

        F = 3000 N

The average force that the plate exerted on the ball is 3,000 N.

The given parameters;

mass of the rubber ball, m = 51 g = 0.051 kgtime in contact, t = 0.5 mstime interval for rebound, Δt = 3 s

The velocity of the ball is calculated as follows;

[tex]v = g\Delta t\\\\v = 9.8 \times 3\\\\v = 29.4 \ m/s[/tex]

The average force that the plate exerted on the ball is calculated as follows;

[tex]F = \frac{mv}{t} \\\\F = \frac{0.051 \times 29.4}{0.5 \times 10^{-3} } \\\\F = 3,000 \ N[/tex]

Thus, the average force that the plate exerted on the ball is 3,000 N.

Learn more here:https://brainly.com/question/20820227

What is the mass of a ball rolling at 5.00m/s if it has 3.00J of kinetic energy?

Answers

Answer:

Explanation:

The equation for Kinetic Energy is

[tex]KE=\frac{1}{2}mv^2[/tex] and we know everything but the mass of this ball. Filling in:

[tex]3.00=\frac{1}{2}m(5.00)^2[/tex]. Get everything isolated from the :

[tex]m=\frac{2(3.00)}{(5.00)^2}[/tex] which tells us that we need 3 significant digits in our answer.

m = .240 kg since mass is always in kg i the velocity is in meters/sec

Can someone help me find the which direction is north and which is south on this solenoid?

Answers

Explanation:

Now, looking down the solenoid tube determine what direction is the winding. If clockwise in relation to the positive wire then is the south pole, if anti-clockwise then is the north pole. So, to summarize the magnetic south pole is always clockwise in relation to the positive wire.

Who was responsible for arriving at the
conclusion that measured amounts of
electrical and mechanical energy can be
converted to proportionate amounts of heat
energy?

Answers

Answer:

James Prescott Joule

James Prescott Joule, (born December 24, 1818, Salford, Lancashire [now in Greater Manchester], England—died October 11, 1889, Sale, Cheshire), English physicist who established that the various forms of energy—mechanical, electrical, and heat—are basically the same and can be changed one into another.James Prescott Joule experimented with engines, electricity and heat throughout his life. Joule's findings resulted in his development of the mechanical theory of heat and Joule's law, which quantitatively describes the rate at which heat energy is produced from electric energy by the resistance in a circuit.

6. A massive truck collides with a less massive car. The force experienced by the truck is ____________ (less than, equal to, greater than) the force experienced by the car. The resulting acceleration of the truck is ____________ (less than, equal to, greater than) the resulting acceleration of the car.
Please answer ASAP

Answers

A massive truck collides with a less massive car. The force experienced by the truck is equal to (less than, equal to, greater than) the force experienced by the car. The resulting acceleration of the truck is less than (less than, equal to, greater than) the resulting acceleration of the car.

how large a band of frequencies does each television broadcasting channel get ?

Answers

Answer:

Since the waves must carry a great deal of visual as well as audio information, each channel requires a larger range of frequencies than simple radio transmission. TV channels utilize frequencies in the range of 54 to 88 MHz and 174 to 222 MHz. (The entire FM radio band lies between channels 88 MHz and 174 MHz.)

Answer:

Since the waves must carry a great deal of visual as well as audio information, each channel requires a larger range of frequencies than simple radio transmission. TV channels utilize frequencies in the range of 54 to 88 MHz and 174 to 222 MHz. (The entire FM radio band lies between channels 88 MHz and 174 MHz.)

Explanation:

Ok


NO LINKS AND PLEASE ANSWER ASAP!!

of Newton's three laws of motion specifically applies in each of the
following situations:
a. Newtonj 3d Low You feel a force against the sole of your foot as you
take a step forward.
b.
A meteor moving in a straight path changes direction
when it flies by Earth.
C.
A full grocery cart that is pushed starts moving and
increases speed, but the same push increases its speed even more when the
cart is empty.
d.
A skateboard moves faster in the same direction it is
pushed.

Answers

Answer:

Its b because the meteor moving strait.

Explanation:

6.There are four mixtures A, B, C and D. The mixture A contains sand and sugar, mixture B contain chalk powder and salt, mixture C contains salt and sugar, whereas mixture D contains sugar and charcoal powder. Which one of these mixtures cannot be separated by using water as a solvent? Why?

Answers

Answer:

Mixture C (salt and sugar)

Explanation:

Both salt and sugar can dissolve in water. And you can't just separate the mixture by filtering it like you could in the other mixtures.

Look at the diagrams. Each model the arrangement of particles in a substance.
Which diagram is the best model for a solid?


Substance A

Substance B

Substance C

Answers

Answer:

a

Explanation:

because it has  compact  molecules  

Give three other examples for each state of matter.
d movement of particles for each state​

Answers

solid

1.coin

2.iron bar

3.glass(no, it's does not flow)

liquid

1.water

2.wine

3.mercury(a liquid metal).

Gas

1.carbon dioxide

2.nitrogen

2.oxygen

I hope this answer helps me

A car is moving eastward and speeding up. The momentum of the car is ______.
a. increasing
b. decreasing
c. remaining constant

Answers

I think the answer is C. Remaining constant

a 4 kg vase sits on a shelf at a height of 1.2m .how much gravitational potential energy is added to the vase when it is lifted to a shelf of height 1.4m .

Answers

Answer:

54.88 J

Explanation:

PE = mgh

PE = (4)(9.8)(1.4)

= 54.88 J

Một sóng cơ học có tần số 50hz lan truyền dọc theo một sợi dây rất dài biết rằng sau 5 giây sóng truyền được 1 đoạn 25m dọc theo sợi dây. Bước sóng đó bằng

Answers

Answer:

10 cm

Explanation:

Được

Tần số = 50 hertz

Khoảng cách đã đi = 25 m

Thời gian đi quãng đường 25 m = 5 giây

Tốc độ của sóng = 25/5 = 5 mét trên giây

Như chúng ta biết

Bước sóng = Vận tốc / tần số

Bước sóng = 5 mét trên giây / 50 trên giây

Bước sóng = 0,1 m = 10 cm

An electric circuit consists of a variable resistor connected to a source of constant potential difference. If the resistance of the resistor is doubled, the current through the resistor is

Answers

Answer:

halved.

Explanation:

Given the following data;

Potential difference = constant

Resistance = 2 * resistance = 2R

To find the current I;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex] V = IR[/tex]

Where;

V represents voltage measured in voltage.

I represents current measured in amperes.

R represents resistance measured in ohms.

Making current (I) the subject of formula, we have;

[tex] I = \frac {V}{R} [/tex]

Substituting into the formula, we have;

[tex] I = \frac {V}{2R} [/tex]

[tex] I = \frac {1}{2} * \frac {V}{R} [/tex]

[tex] I = \frac {1}{2} * I [/tex]

Therefore, if the resistance of the resistor is doubled, the current through the resistor is halved.

What is the voltage in an electric current?

a. The power of the electrons
b. The charge of the electrons
c. The energy of the electrons​

Answers

It is the energy of the electrons I believe

Circular Motion A 650-kg car moving at 8.5 m/s takes a turn around a circle with a radius of 48.0 m. Determine the acceleration acting upon the car. Use a = v2/ r

Answers

Answer:

Explanation:

The mass of the car doesn't matter because On a flat curve the mass of the car does not affect the speed at which it can stay on the curve. You would need the mass if you were solving the the centripetal force acting on the car, but not the acceleration.

[tex]a=\frac{v^2}{r}[/tex] and filling in

[tex]a=\frac{(8.5)^2}{48.0}[/tex] and we need 2 significant digits in our answer. That means that

a = 1.5 m/sec²

Which of the following is a scientific question?
A. What is the best price for an LED screen design?
B. Which LED screen design produces the most attractive images?
C. Which LED screen design is the most energy efficient?
D. Does the LED screen design violate a previous patent?

Answers

Answer:

I think the answer would be c

Explanation:

A. is not scientific

B. is subjective, so it can't be scientific.

C. can be studied with an experiment

D. relates to regulations, not science

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