Explain how the basic unit are combined to give the derived units of force, velocity, pressure and work

Answers

Answer 1

Velocity:

Velocity is change in displacement with respect to time:

[tex]\frac{\Delta x}{\Delta t}[/tex]

Analysing the units, meters (displacement) and seconds (time) are basic units:

[tex]\frac{m}{s}[/tex]

Therefore the unit of velocity is m/s

Force:

Newton's second law of motion:

[tex]F = ma[/tex]

Kilogram (mass) is a basic unit, and accelerations unit can be found using the equation:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

Analysing the units:

[tex]\frac{\frac{m}{s}}{s}=\frac{m}{s^2}[/tex]

Therefore, the unit of force is:

[tex]kg\frac{m}{s^2}[/tex]

Pressure:

Pressure is given by the equation:

[tex]P=\frac{F}{S}[/tex] where S is area of effect, F is force

Area for a basic rectangle (geometric shape is arbitrary for dimensional analysis) is found by multiplying two lengths:

[tex][l^2]=m^2[/tex], the unit of area

Dividing the aforementioned unit of force by the unit of area:

[tex]\frac{kg\frac{m}{s^2}}{m^2}=\frac{kg}{ms^2}[/tex], the unit of pressure

Work:

Work is given by the equation:

[tex]W=\vec{F}\cdot \vec{x}[/tex], (dot product may be assumed as normal multiplication for the purposes of unit analysis)

Knowing displacement's (x) unit is m:

[tex][W]=\frac{kgm}{s^2}m=\frac{kgm^2}{s^2}[/tex], the unit of work.


Related Questions

what is the mass on mercury of an object that weighs 784 n on the earth’s surface?

Answers

Answer:

80 kg weighs 80 kg x 9.8 m/s2 = 784 kg m/s2, or 784 Newtons. The surface gravity of Mercury is 0.39 that of Earth's (table 10-1), so 80 kg weighs 784 N x 0.39 = 306 N.

Explanation:

I hope that helps you

How many laws of motion are there? (Newton's) 3 4 2 1

Answers

Answer:

There is three laws of motion by newton

Explanation:

Chauncy is driving down the hill that descends at an angle a 4.5° below horizontal. After driving 4.60 kilometers along the road, how much elevation has chauncy lost?

Answers

Answer:

360 m

Explanation:

Explanation is given in the attached image below.

A force applied to an object at rest causes the object to move. According to Newton’s first law, what must be true of the force?

Answers

Answer:

An object will not move unless acted upon by an unbalanced force.

Explanation:

Since Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Hope this helps!!

According to Newton's law of motion an object will at a state unless and until a force act upon it. Hence, force is an external agent which change the state of an object.

What is Newton's law of motion?

Newton proposed three laws of motion explaining the motion an object. The first law states that an object will continue at the state of motion or rest unless a force acting on it.

Therefore force is an external agent which acts on a body to change it from the state of rest or motion. Force is directly proportional to the mass of the body. Hence, greater the mass, greater force must be applied to change its state.

The first of motion is called law of inertia, where inertia is the tendency of a body to stay in a state. Therefore, force changes this tendency of an object.

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Kevin and Kisha are ice skating. Kisha has a mass of 60 kg, and Kevin has a mass of 45 kg. As they face each
other, Kevin pushes off Kisha with a force of 54 N. Assume the friction between the skaters and the ice is
negligible.
t
Determine the magnitude of Kevin's acceleration.
Write your answer to two significant figures.
m/s
m

Answers

If Kevin with mass 45kg pushes Kisha with a force of 54N, the magnitude of Kevin's acceleration is 1.2 m/s²

Kisha's mass = 60 kg

Kevin's mass = 45 kg

Kevin pushes off Kisha with a force of 54 N

Since it was Kevin that pushed Kisha, and the required force is 54N, we can look for Kevin's acceleration using the equation below

F  =  ma

The considered mass is Kevin's mass

54   =  45a

a   =   54/45

a   =    1.2 m/s²

The magnitude of Kevin's acceleration is 1.2 m/s²

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im confused on number one

Answers

Explanation:

v=?, u=0, a=?, S=22m.

Using the formula, S=ut+½at²

22={0×5}+(½.a.5²)

22=½.a.5²

a=44/25 = 1.76m/s².

Therefore, net force = work done = ma = 48×1.76 = 84.48N.

therefore, power = work done/time = 84.48/5 = 16.896W.

hope this helps you.

Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a frequency of 288 Hz and the speed of sound in water is 1450 m/s, what is the wavelength of the sonar signal?

Answers

5.03M That’s the correct answer :)

ultraviolet light destroys which vitamin essential for cell division?

Answers

Answer:

Both Vitamin D and folate level are affected by UV radiation from sunlight.

Explanation:

what is the smallest possible value for the index of refraction?

Answers

Answer:

1.0

Explanation:

The smallest possible value for the index of refraction is 1.0.

What is Index of refraction?

This talks about how fast light travels through an object by taking note of how much the light is bent, or refracted, as it enters into the material.

The smallest possible value for the index of refraction is 1.0 because the speed of light in any medium is always less than than the speed of light in air or vacuum.

Read more about Refraction here https://brainly.com/question/24319677

You throw an orange out a widow at a height of 12 meters upwards at an angle of 32 to the horizontal with an initial velocity of 3.5m/s.How long will the orange be in flight before it hits the ground? Round the answer to the nearest tenth.__ Seconds

Answers

Answer:

3 meters

Explanation:

add up dum boi

Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO
notes of diffusion​

Answers

lolol advertising the app on the app

An aircraft traveling at 600km/h accelerates steadily at 10km/h per second. Taking the speed of sounds as 1100km/h at the aircraft's altitude, how long will it take to reach the sound barrier.​

Answers

Answer:

V2 - V1 = a  t    for uniformly accelerated motion

t =  (V2 - V1) / a = (1100 -600) km/hr / 10 km/hr/sec

t = 500 / 10 sec = 50 sec

based on the illustrations, what happens to current in the presence of resistance in the connecting wire?​

Answers

it prevents the current from passing through properly causing a surplus of voltage

Can someone help me with these 3 questions!!!

Answers

Answer:

Below

Explanation:

To find the height of a ball thrown upwards we can use this formula :

     vf^2 = vi^2 + 2ad

     0^2 = 22^2 + 2(-9.8)d

     484 = 19.6d

     24.69 = d

     25 m = d

To find the time of the phone dropped we can use this formula :

     t = √2d/g

     t = √2(15) / 9.8

     t = √30/9.8

     t =√3.142857

     t = 1.749

    t = 1.7 seconds

For a) since this object is free falling we know that it will accelerate towards earth at a rate of 9.8 m/s^2. The slope of a velocity time graph gives us the acceleration of the object. So in this case the slope would be 9.8 m.s^2

Hope this helps!

A car, travelling at a speed of 30 m/s in a straight line, brakes and decelerates at a uniform rate of 2 m/s2. How much further does it travel before coming to rest?

Answers

Answer:

You are finding acceleration, so it would be 15 m/s2

Explanation:

30 divided by 2

at a certain distance from a point charge the electric potential is 200V and electric field is 200V/m, what is this distance
a. 10m
b. 8m
c. 0.1m
d. 0.8m

Answers

c. 0.1m hope this helped

Explanation:

0.1 m

i dont know how to explain but i know the ans so ............byee ...

what is the relationship between electric field lines and equipotential surfaces?

Answers

An equipotential surface is a three-dimensional version of equipotential lines. * *Equipotential lines are always perpendicular to electric field lines* . The process by which a conductor can be fixed at zero volts by connecting it to the earth with a good conductor is called grounding.

is the right answer c?

Answers

Answer:

Yea I believe so

Explanation:

what is the prefix of 10^10



PLEASE BE FAST :)

Answers

Answer: 100
10*10= 100
Is this right?? I hope it is cause I am in high school


why are hydraulic brakes less effective if there is air in the liquid

Answers

Answer:

air is compress able

since air can be compressed, then the hydraulics will not work as well. It won't be able to push the object or brake the wheels. Since water cannot be compressed, it is able to push something, that's how hydraulics work.

Explanation:

it reduces pressure and essentially makes the process less effective.

PLEASE HELP
If the change in energy of an object is 50J, the work done on the object is 

Answers

Answer:

Explanation: Since work done is= to energy lost,the work done on this object will also be 50J...

Exercise will not help maintain the health of your endocrine system.
A.
True

B.
False

Answers

A. True

Hope this helps :)

HOW WOULD SOUND REFLECT

Answers

Answer:

Reflection. If a sound is not absorbed or transmitted when it strikes a surface, it will be reflected. ... Reflection of a sound wave at a barrier, as if from an imaginary source at an equal distance behind the barrier. Sound reflection gives rise to DIFFUSION, REVERBERATION and ECHO.

Answer:

by a echo

Explanation:

if u are I a sound proof room you shout to the wall the echo will then reflect

5) Find the length of guitar string that would vibrate at a fundamental frequency of 825 Hz if the string is stretched so that the velocity of waves on the string is 580 m/s? ​

Answers

Áp dụng công thức tính độ dài ạ

NEED HELP!!! IF YOU ANSWER ALL QUESTIONS I WILL GIVE YOU BRAINEST!!!!! 15 POINTS!!!!

1. Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy. What would be the BEST exercise to achieve this goal?
A.
yoga
B.
bowling
C.
swimming
D.
weightlifting

2. Alicia’s coach thinks that she should try some interval training so that she can get some anaerobic activity. Which of these would be BEST for Alicia to add to her routine?
A.
biking with occasional sprints
B.
meditation several times a day
C.
taking stairs instead of escalators
D.
running at a steady pace for miles

3. You should be very ambitious when setting personal goals for health.
A.
True
B.
False

4. Imagine that you are going to make an exercise routine. If your goal was to develop your health rather than one specific improvement, what should be in your plan?
A.
a focus on the benefits of stretching
B.
a variety of aerobic and anaerobic exercises
C.
a single exercise with increasing intensity
D.
an exercise that you have never tried before

PLEASE NO LINKS

Answers

Answer:

1) C.

swimming

2) A.

biking with occasional sprints

3) A.

True

4) B.

a variety of aerobic and anaerobic exercises

Explanation:

Why do we use silk threads to suspend charged rods instead of metallic threads?

Answers

Answer:When you rub the glass rod with the silk, the rod charges positive. If you place a charged rod on one of the swivel stands, and then bring another charged

Explanation: i no it

A pressure of 0.01 N/cm squared is produced when a book with an area of 300cm squared is place on a table what is the weight of the book

Answers

Answer:

Pressure =Area × height

0.01N/cm=300cm×height

height=0.01×300

3cm

The weight of the book is equal to 3N.

What is Pressure?

Pressure can be described as the ratio of the force exerted to the surface area over which the force is exerted. We can define pressure as the force applied perpendicular to the surface per unit area over which that applied force is distributed.

The SI unit of pressure can be represented as the pascal (Pa). A pascal is the force of one newton (N) exerted over a surface area of 1 m². Since the pressure is dependent on the area so the pressure can be increased and decreased without changing the force.

Given, the pressure on the book, P = 0.01 N/cm²

The area of the book, A = 300 cm²

Pressure = Force/ Area

Force = Pressure ×Area

Force = 0.01  × 300 = 3 N

Weight of the book, W = mg = 3 N

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Is it possible to burn a paper using lens? How?​

Answers

Answer:

NO Y

Explanation:

MMMMMMMMM

hi can someone please answer the number 2 question i really need it thank you ❤️​

Answers

#Batangas

[tex]\\ \tt\longmapsto d=\dfrac{49.07}{8}\times 100[/tex]

[tex]\\ \tt\longmapsto d=6.13(100)[/tex]

[tex]\\ \tt\longmapsto d=613km[/tex]

#Puerto Princesa

[tex]\\ \tt\longmapsto d=\dfrac{58.10}{8}\times 100[/tex]

[tex]\\ \tt\longmapsto d=7.26(100)[/tex]

[tex]\\ \tt\longmapsto d=726km[/tex]

#Davao

[tex]\\ \tt\longmapsto d=\dfrac{39.47}{8}\times 100[/tex]

[tex]\\ \tt\longmapsto d=4.93(100)=493km[/tex]

Please Help with Acceleration graphs

Answers

Negative velocity indicates direction so on number 6 part a is moving away from starting point (positive velocity) and part c is moving toward/back to starting point (negative velocity)
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