what is the dimensional consistency of s = Vot + 1/2 at2​

Answers

Answer 1

Answer:

The formula is dimensionally consistent

Explanation:

Dimensional Analysis

There are three fundamental magnitudes in Physics:

L = Length

T = Time

M = Mass

All the formulas and equations that use physical magnitudes must be consistent in their units.

For example, the formula:

[tex]\displaystyle s=v_ot+\frac{1}{2}at^2[/tex]

Is used to calculate the distance traveled by an object, knowing its initial speed vo, acceleration a, and time t.

The units for each magnitude are:

s   = L

vo = L/T or [tex]LT^{-1}[/tex]

a   = L/T^2 or [tex]LT^{-2}[/tex]

Let's analyze the dimensions of the magnitudes in the formula (the constant 1/2 is neglected because it doesn't affect the dimensional analysis):

[tex]\displaystyle L=L/T*T+L/T^2*T^2[/tex]

The first term simplifies to L because the T's simplify. The same happens with the second term, the squared T's simplify:

[tex]\displaystyle L=L+L[/tex]

Thus the formula is dimensionally consistent


Related Questions

A building where it is very easy to hear soft voices is a acoustically dead room.
A. False
B. True

Answers

Answer:

False

Explanation:

i got it right

The statement is false. Because, the place where, it is easy to hear soft voices is acoustically good. Acoustically strong rooms facilitates the sound waves of even soft pitches.

What is Acoustics?

Acoustics is the study of sound waves. Engineers strictly consider the concepts of acoustics to design the auditoriums and theater rooms to filter the sound effects in perfect pitches.

The frequency of a sound wave is called pitch. Thus lower frequency waves are lower pitch and they are termed as soft voices. Soft voices are hard to hear.

However, building where  it is very easy to hear soft voices is acoustically good room. Therefore, the statement is false. The building is good in acoustics suitable for sound effects.

To find more on acoustics, refer here:

https://brainly.com/question/29842668

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1 A student says that current is the amount of charge. Is he correct? Explain your answer.

Answers

Answer:

No he's not correct. Current is the rate of flow of charge. 1 Ampere is the amount of 1 coulomb of charge that flows per second. 10 Ampere would then be 10 coulomb of charge flowing in one second.

Calculate the momentum of a 32 kg eagle diving down to the water to catch a fish. During the dive, the eagle
travels 100 m in 10 seconds. Show your work

Answers

The eagle momentum : 320 kg.m/s

Further explanation

Given

mass = 32 kg

d = 100 m

t = 10 s

Required

The momentum

Solution

The velocity of the eagle :

[tex]\tt v=\dfrac{d}{t}\\\\v=\dfrac{100}{10}=10~m/s[/tex]

The momentum (P) :

[tex]\tt P=m\times v\\\\P=32\times 10\\\\P=320~kg.m/s[/tex]

Please help!

A pulley system is hanged in a lift as shown below in the
figure. A and B are two masses each having m and 2m mass
respectively. If d is the distance from the floor to B and the
lift starts to move with acceleration a, the time taken by B to reach the floor is,
1)
[tex] \sqrt{ \frac{6d}{(g + a)} } [/tex]
2)
[tex]\sqrt{ \frac{6d}{g} }[/tex]
3)
[tex]\sqrt{ \frac{6d}{(g - a)} }[/tex]
4)
[tex] \frac{6d}{( g+ a)} [/tex]
5)
[tex]\sqrt{ \frac{2d}{(g + a)} }[/tex]

Answers

Answer:

B

Explanation:

Find the acceleration of the system

m2>m1

further m2 = 2m

and m1 = m

The acceleration is going to be the downward force created by m2 divided by the total mass (m2 + m2)

a = (m2*g - m1*g) / (m1 + m2)

a = (2m - m)*g/ (2m + m)

a = m * g/3m

a = 1/3 * g

Formula for time

Givens

distance := d

acceleration : = a  

vi = 0

Kinematic Formula

d = vi * t + 1/2 a t^2

Solution

d = 0 + 1/2 * 1/3 g  * t^2

6d = g * t^2

t^2 = 6d/g

t = √(6d/g)

Answer.

B

HELP I WILL MARK BRAINLIEST!!!

Answers

I think d but I’m not positive
the answer would be D 120km

Katie is walking in an orange grove. She looks at all of the orange trees. She wants to find out how many seeds are in each orange.

What can she do to collect data?
A.
Measure each tree to see how tall it is.
B.
Gather a few oranges and see how many seeds are in each.
C.
Plant an orange seed and see how much fruit grows on the tree.
D.
Count the number of trees in the grove.

Answers

Answer:

What she can do to collect the data is;

B. Gather a few oranges and see how many seeds are in each

Explanation:

The quantity Katie wants to find out is the number of seeds contained in each orange

Therefore, the required population = The number of seeds in a given orange

The method of estimation of the number of seeds per orange is sampling method, whereby the number of seeds in each of the orange in the sample is used to as an hypothesis as to the number of seeds expected in each orange of the entire population.

Therefore, in order to collect the data, she can gather a few oranges and see how many seeds are in each.

If you had a cup of hot tea, will the tea generally stop cooling when it reaches room temperature? Or will it keep cooling further (in small increments)?

Answers

Answer:

The tea will generally stop cooling when it reaches room temperature ️

Who do you think the target market of these advertisements is? Explain.

Answers

Answer:

uhhhhhhh wait what

Explanation:

What advertisement

how much force is needed to accelerate a 48 kg object to 3 m/s²​

Answers

Answer:

144 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 48 × 3

We have the final answer as

144 N

Hope this helps you

Name two luminous objects other than the Sun​

Answers

Answer:

The answer to this question is given below in this explanation section.

Explanation:

                         "Luminous objects"

Luminous object are objects that generate their own light. Illuminated objects are objects that are capable of reflecting light to our eyes.The sun is an example of a luminous objects,while the moon is an illuminated objects.During the day the sun generates sufficient light to illuminate objects on Earth.

Example:

The sunFlame in a lampTube lightElectric bulb

                      Name of luminous object

sun luminous moon luminous

Non luminous object

           Some object do  not have their own light,they reflect light of other objects. These object are called non luminous object.

Example:

Moon reflect the light from the sun

other example are earth and other planets,paper,tree

-- any other star

-- a firefly

-- a flashlight

-- a meteor

-- a street light

-- a car headlight

-- a burning log

-- a night light

-- the hot wire in a toaster

-- an LED

-- a laser

-- a burning match

-- a lit candle

A 40 kg boy is moving upwards upwards in a lift with an acceleration of 2 m /s ^2 what would be the weight felt by him if measuured in a scale?

Answers

Answer:

48kg

[tex]f = ma \\[/tex]

[tex]w \: = \frac{f}{g} \\ [/tex]

Explanation:

[tex]f \: = ma \\ f - mg = ma \\ f = ma + mg \\ f = 40 \times 2 + 40 \times 10 \\ f = 480[/tex]

[tex]w = \frac{f}{g} \\w = \frac{480}{10} \\ w = 48kg[/tex]

if you know the amplitude of a wave, you know the distance from?

Answers

Answer:

As waves travel, they set up patterns of disturbance. The amplitude of a wave is its maximum disturbance from rest (its undisturbed position). It is important to note that the amplitude is not the distance between the top and bottom of a wave but is always measured from the rest position. This is a common exam mistake.

Explanation:

Why does it take more force to get a resting object to move than it does to keep
a moving object going? (Hint: answer using ideas about microscopic
interactions) *

Answers

Answer:

Objects have a natural tendency to resist change. ... Heavier objects (greater mass) resist change more than lighter objects. Example: Pushing a bicycle or a Cadillac, or stopping them once moving. The more massive the object (more inertia) the harder it is to start or stop.

1. A truck with a mass of 8, 000 kg is traveling at 26.8 m/s when it hits the brakes. A.)What is the momentum of the truck before it hits the brakes?

B.)The truck comes to a stop, losing all of that momentum. It takes 12.4 s for the truck to come to a
complete stop. How much force does it take to stop the truck?

Answers

Answer:

1. A.) The moment of the truck before it hits the brakes is 214,400 kg·m/s

B.) The force it takes to stop the truck is approximately 17,290.4 N

Explanation:

1. A.) The given parameters are;

The mass of the truck, m = 8,000 kg

The velocity of the truck when it hits the brakes, u = 26.8 m/s

Momentum = Mass × Velocity

The moment of the truck = The mass of the truck × The velocity of the truck

Therefore;

The moment of the truck before it hits the brakes = 8,000 kg × 26.8 m/s = 214,400 kg·m/s

B.) The amount of momentum lost when the truck comes to a stop = The initial momentum of the truck

The time it takes the truck to come to a complete stop, t = 12.4 s

The deceleration, "a" of the truck is given by the following kinematic equation of motion

v = u - a·t

Where;

v = The final velocity of the truck = 0 m/s

u = The initial velocity = 26.8 m/s

a = the deceleration of the truck

t = The time of deceleration of the truck = 12.4 s

Substituting the known values gives;

0 = 26.8 - a × 12.4

Therefore;

26.8 = a × 12.4

a = 26.8/12.4 ≈ 2.1613

The deceleration (negative acceleration) of the truck, a ≈ 2.1613 m/s²

Force = Mass × Acceleration

The force required to stop the truck = The mass pf the truck × The deceleration (negative acceleration) given to the truck

∴ The force it takes to stop the truck = 8,000 kg × 2.1613 m/s² ≈ 17,290.4 N.

Find the volume and area of a spherical body of radius 49cm.​

Answers

Explanation:

Area of sphere:4

[tex]4\pir {}^{2} [/tex]

4×3.14×49^2

=30156.56

volume of sphere:

[tex]4 \div 3pir {}^{3} [/tex]

4/3×3.14×49^3

492434.00

not sure

What is the chemical formula for silver and oxygen

Answers

Answer:Ag2 O.

The formula for silver oxide is Ag2 O.

Explanation: one silver atom gives up an electron resulting in a +1 ion. Each oxygen atom requires two electrons to be stable.

give two differences between mass and weight​

Answers

Answer: 1) Mass is a scalar quantity while weight is a vector quantity

2) Mass is measured in Gramma and kilogram while weight is measured in Newton.

Explanation:

Mass can be defined as the amount of matter that comprises an object. It is a scalar quantity, that is, it has magnitude. It is measured in kilogram with its unit in Kg. Mass is measured using an ordinary weighing scale.

Weight can be defined as the force acted upon an object due to gravity. Weight is a vector quantity, that is, it has both magnitude and direction towards the center of the earth. Weight can be measured with the use of a spring balance. Its unit is in Newton.

Why are drills performed in drum beats ​

Answers

Answer:

The drum drill is just one option in stride frequency development. Most of the time, the drum drill can be seen as just a rhythm drill that allows an athlete to relax and experiment with the right range of motion and bounce. A solid background in floating drills and developing reactivity should help athletes mold their stride into a balanced motion that maximizes their speed.

I have used frequency drills for years and now understand the nature of stride development mainly from shaping the stride parameters we all have known about for a long time. The drum drill is a special exercise that can make a great change in athletes who are receptive to improving and with a coach who is worth their salt in instruction. The drum drill is just one option for improving an athlete, and it’s more than fine to use any method you see fit that helps improve stride frequency.

Explanation:

Explanation:

Most of the time, the drum drill can be seen as just a rhythm drill that allows an athlete to relax and experiment with the right range of motion and bounce. A solid background in floating drills and developing reactivity should help athletes mold their stride into a balanced motion that maximizes their speed

We break down a UK drill beat, a genre that rapidly became one of the ... Beat Dissected is a regular series in which we deconstruct drum patterns, ... an 808 bass line with plenty of glides and a piano played back in halftime.

Okay I need help with this question.....-_-
When does an object have no kinetic energy
P.S I need the answer ASAP

Answers

Answer:

A

Explanation:

an object has no kinetic energy when its at rest

The teacher has 12 green and 15 purple stickers the students are given `an equal number of each color stickers how many green and purple stickers does each students get

Answers

Answer:

Each student gets 4 green stickers and 5 purple stickers or a total of 9 stickers.

Explanation:

The greatest common divisor (GCD) of two or more natural numbers or integers (not numbers with decimals) is the largest number that divides them. In other words, the Greatest Common Divisor is the greatest of the common divisors of several numbers. To calculate it, each of them is decomposed into prime factors. The GCD is the result of multiplying the factors that are repeated in all the decompositions, affected by the smallest exponent.

In the event that no factor is repeated, the GCD of those numbers is 1, and the numbers are said to be "prime to each other."

In this case, the decomposition of 12 and 15 is:

12 = 2²*3.

15=3*5

So the GCD between 12 and 15 is 3

Now, to calculate how many green and purple stickers each student receives, you simply divide the amount of each sticker color by 3.

12÷3= 4

15÷3= 5

So, each student gets 4 green stickers and 5 purple stickers or a total of 9 stickers.

can anyone help, i need help with this as well.

Answers

Answer:

B

Explanation:

I think this one is correct

c it is a answer of this question

Distinguish between heat and work in terms of energy​

Answers

Answer:

Heat is the energy associated with the random motion of particles, while work is the energy of ordered motion in one direction. Therefore heat is "low-quality" energy and work is "high-quality" energy, and this supports the entropy statement of the Second Law.

Explanation:

The dancing bear family loves when their trainer gives them little treats to reward them for a good performance. If the trainer gives the dancing bear family 34 treats each show, how many treats will the trainer need for 22 shows?

Answers

Answer:

748 treats.

Explanation:

If the trainer gives out 34 treats and gave them out for 22 shows, then to find the total you need to multiply 34 by 22, or (a longer but more simple way) add 34, 22 times.

A bus starts to move from rest. If it is accelerated by 0.8m/s2, calculate the velocity and distance traveled after 8 s.

Answers

We are given:_______________________________________________

Initial velocity (u) = 0 m/s

acceleration (a) = 0.8 m/s²

time interval (t) = 8 seconds

final velocity (v) = v m/s

distance travelled (s) = s m

Solving for the final velocity:___________________________________

We know that:

v = u + at                                [first equation of motion]

v = 0 + (0.8)(8)                       [replacing the variables]

v = 6.4 m/s

Hence, the final velocity is 6.4 m/s

Solving for the distance travelled:_______________________________

We know that:

s = ut + 1/2(at²)                     [second equation of motion]

s = (0)(8) + 1/2(0.8)(8)(8)      [replacing the variables]

s = 1/2(6.4*8)

s = 25.6 m

Hence, the distance travelled is 25.6 m

State the hypothesis of this experiment​

Answers

How about: If mass is increased starting at 100 grams and 10 minutes, then the time will increase by 10 minutes by each 100g increase.

- Which of the following does not move as a transverse wave?
A ultraviolet light
B sound wave
C surface water wave
D microwave

Which of these effects describes the change in pitch we hear
moving motorbike goes past?
A total internal reflection
B.refraction
C reflection
D Doppler


Which of the following does not make use of total internal re
A oscilloscope
B endoscope
C prismatic periscope
D optical fibres


Help me
will give the brainliest!
Please answer correctly.​

Answers

Answer:

- Which of the following does not move as a transverse wave?

B. sound waves

because sound waves are longitudinal waves having compressions and rare factions.

Which of these effects describes the change in pitch we hear

moving motorbike goes past?

D. Doppler effect

Doppler effect is the phenomenon where there is apparent change in frequency (pitch) and wavelength of a wave due to relative motion of the sound source.

Which of the following does not make use of total internal reflection.

B. Endoscope

Endoscope doesn't use total internal reflection since no refraction takes place.

can someone please explain some calculations on vernier calliper​

Answers

Answer:

Hey mate here's your answer ⤵️

Vernier caliper least counts formula is calculated by dividing the smallest reading of the main scale with the total number of divisions of the vernier scale.LC of vernier caliper is the difference between one smallest reading of the main scale and one smallest reading of vernier scale which is 0.1 mm 0r 0.01 cm

Hope it was helpfulll
The Vernier caliper is an instrument that allows you measure lengths much more accurate than the metric ruler. The smallest increment in the vernier caliper you will be using is (1/50)mm = 0.02mm = 0.002cm. Thus, the uncertainty is ∆x = (1/2)0.002 cm = 0.001 cm. Vernier caliper least counts formula is calculated by dividing the smallest reading of the main scale with the total number of divisions of the vernier scale.LC of vernier caliper is the difference between one smallest reading of the main scale and one smallest reading of vernier scale which is 0.1 mm 0r 0.01 cm.

What happens in synthesis

Answers

Answer:

S phase or Synthesis

Explanation:

Is the phase of the cell cycle when DNA packaged into chromosomes is replicated. This even is an essential aspect of the cell cycle because replication allows for each cell created by cell division to have the same genetic make-up.

Hope this helps!!

Jonas throws a ball up into the air. On its trip upward, the ball's velocity goes from 9.1 m/s to 0 m/s. On its trip downward, the ball's velocity goes from 0 m/s to -9.1 m/s. Did gravity do any work on the ball during the trip upward? Did gravity do any work on the trip downward? Justify your answer.

Answers

Answer:

1) Yes, the work done by gravity during the trip upward is -41.405·m J

2) Yes, the work done by gravity on the ball during the trip downward = 41.405·m J

Explanation:

The given parameters are;

The initial velocity of the ball on the way up = 9.1 m/s

The final velocity of the ball on the way up = 0 m/s

The initial velocity of the ball on its trip downward = 0 m/s

The final velocity of the ball on its trip downward = 9.1 m/s

1) The work done by gravity on the trip upward = The change in kinetic energy of the ball

The change in kinetic energy of the ball = 1/2 × m × 9.1² = -41.405·m J, given that the initial kinetic energy is 41.405·m J and the final kinetic energy is  J

Where;

m = The mass of the ball

Therefore, the work done by gravity during the trip upward = -41.405·m J

2) Similarly gravity does work on the ball during the trip downward = 41.405·m J.

A car hits a tree and doesn’t stop, but keeps going until severely damaged. This is because of _____.

Answers

Answer:inertia

Explanation:

A car hits a tree and doesn’t stop, but keeps going until severely damaged. This is because of the principle of Inertia.

What is newton's first law of motion?

It states that" When a body s at rest it remains at rest, and IF the body is in motion It remains in motion until an external force is applied to that object."

i.e

If F=0, Then v= constant

and when that constant =0 then the body is at rest.

Where F= force

v = velocity.

Inertia is the tendency of an object to resist changes in its state of motion. In this case, the car was moving at a certain speed before it hit the tree, and because of its inertia, it continued to move forward even after the collision with the tree.

The car only stopped when another force acted on it, such as the force of the tree, or the force of friction with the ground, which slowed it down and eventually brought it to a stop. The severe damage to the car was a result of the force of the impact, which was a combination of the car's speed and its mass.

Hence the car does not stop because of the principle of inertia.

To learn more about Inertia click:

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