Differences between fundamental and derived quantities​

Answers

Answer 1

Answer:

Fundamental quantities are quantities that were created to measure a object/substance which are the basis on which derived quantities are formed, where as derived quantities are created by extracting variables from the fundamental quantities.


Related Questions

An electron with an initial speed of 700,000 m/s is brought to rest by an electric field. What was the potential difference that stopped the electron? What was the initial kinetic energy of the electron, in electron volts?

Answers

Answer:

See below.

Explanation:

According to the question, we know that,

work done is given by,  [tex]W=qV[/tex]

and change in kinetic energy is, Δ [tex]KE=W=1=1/2[mv^{2} ][/tex]

therefore equating both the equations we get,

[tex]qV=1/2[mv^{2} ][/tex] ⇒ [tex]V=\frac{mv^{2} }{2q}[/tex]

m= mass of electron =  [tex]9.1*10^{-31} kg[/tex]

q= charge on an electron = [tex]1.6*10^{-19} C[/tex]

v= speed of electron= 700000m/s

substituting the values in the above equation, we get

[tex]V=\frac{9.1*10^{-31} *(700000)^{2} }{2*1.6*10^{-19} } =1.39V[/tex]

(1).  the potential difference that stopped the electron is 1.39 volts.

now the kinetic energy equation is :  2 ways[tex]KE=1/2[mv^{2} ]=\frac{9.1*10^{-31} *700000^{2} }{2} =2.22*10^{-19} J\\[/tex]

or [tex]KE=\frac{2.22*10^{-19} }{1.6*10^{-19} } =1.39eV[/tex]

(2).  the initial kinetic energy of the electron is 1.39eV.

A stage has a radius R = 2.00 m and a mass M = 100 kg. The stage, which has a circular disk
shape, rotates in a horizontal plane, without any friction, about a vertical axle. Sandra has a
mass of m = 60.0 kg and she walks from the rim of the stage toward the center. Calculate the
angular speed when she reaches a point r = 0.500 m from the center, if the angular speed of the
system is 2.0 rad/s when Sandra is at the rim

Answers

i want the answer of this exercise

The block falls for a time t0, but the string does not completely unwind. What is the change in angular momentum of the pulley-block system from the instant that the block is released from rest until time t0?

Answers

The change in angular momentum of the pulley-block system is given as [tex]\omega = Rm_ogt_o[/tex]

Data;

time = t0mass = Mo

Torque

This is the force that makes object rotate about an axis. The formula is given as the product between the radius about the axis and the force acting upon it.

The torque about point o is given as

[tex]\tau = R * m_og[/tex]

The change in angular momentum about point 'o' is the product between the torque and time.

[tex]\omega = \tau * t_o\\\omega = Rm_ogt_o[/tex]

The change in angular momentum of the pulley-block system is given as

[tex]\omega = Rm_ogt_o[/tex]

Learn more on torque here;

https://brainly.com/question/16928748

What potential difference is required across an 32 -Ω resistor to cause 33.72 A to flow through it?​

Answers

[tex]\text{Voltage,}~ V = IR =33.72\times 32 = 1079.04~ \text{volt}[/tex]

What is the approximate electrostatic force between two protons separated by a distance of 1.0 x 10-6 meter?
1) 2.3 x 10-16 N and repulsive
2) 9.0 x 1021 N and repulsive
3) 9.0 x 1021 N and attractive
4) 2.3 10-16 N and attractive

Answers

Answer:

2.3×10^-16

Explanation:

Charge of proton = 1.6×10^-19

let q(a) and q(b) be the two protons.

According to the Coulumbs Laws ;

F = kq(a)×q(b) / r^2

where k = 9.0×10^9 and r is the distance of seperation.

So having a distance of 1.0×10^-6 in our case ;

F = (9.0×10^9×1.6×10^-19×1.6×10^-19)/(1.0××10^-6)^2

F = (2.304×10^-28)/(1.0×10^-12)

F = 2.304×10^-16N

Since the both charges are positively charged they will repel .

PLEASE HELP!!!!!!! MT TIME FOR MY TEST IS ALMOST OVER!!!

An ideal spring, with a pointer attached to its end, hangs next to a scale. With a 100-N weight attached, the pointer indicates "40" on the scale as shown. Using a 200-N weight instead results in "60" on the scale. Using an unknown weight X instead results in "30" on the scale. The weight of X is:

Answers

Answer:

50 N

Explanation:

Let the natural length of the spring = L

so

100 = k(40 - L)       (1)

200 = k(60 - L)       (2)

(2)/(1):   2 = (60 - L)/(40 - L)

60 - L = 2(40 - L)

60 - L = 80 - 2L

2L - L = 80 - 60

L = 20

Sub it into (1):

100 = k(40 - 20) = 20k

k = 100/20 = 5 N/in

Now

X = k(30 - L) = 5(30 - 20) = 50 N

Adrian wants to take a personality test to help her decide which college major to choose. How can the test help her

Answers

Answer:

It could point her in a direction that best suits her

Explanation:

Hope that helps!

The weight of your science book presses on the desk.
A. Gravity pulls on the book.
B. Gravity pulls on the desk.
C. The desk pushes on the book.

Answers

Answer:

A. Gravity pulls on the book :)

Have an amazing day!!

Please rate and mark brainliest!!


At an altitude of 1.3x10^7 m above the surface of the earth an incoming meteor mass of 1x10^6 kg has a speed of 6.5x10^3 m/s. What would be the speed just before impact with the surface of earth?Ignore air resistance.


Show all steps.

Answers

Answer:

Approximately [tex]1.1 \times 10^{4}\; {\rm m\cdot s^{-1}}[/tex] if air friction is negligible.

Explanation:

Let [tex]G[/tex] denote the gravitational cosntant. Let [tex]M[/tex] denote the mass of the earth. Lookup the value of both values: [tex]G \approx 6.67 \times 10^{-11}\; {\rm N\cdot m^{2}\cdot kg^{-2}}[/tex] while [tex]M \approx 5.697 \times 10^{24}\; {\rm kg}[/tex].

Let [tex]m[/tex] denote the mass of the meteor.

Let [tex]v_{0}[/tex] denote the initial velocity of the meteor. Let [tex]r_{0}[/tex] denote the initial distance between the meteor and the center of the earth.

Let [tex]r_{1}[/tex] denote the distance between the meteor and the center of the earth just before the meteor lands.

Let [tex]v_{1}[/tex] denote the velocity of the meteor just before landing.

The radius of planet earth is approximately [tex]6.371 \times 10^{6}\; {\rm m}[/tex]. Therefore:

At an altitude of [tex]1.3 \times 10^{7}\; {\rm m}[/tex] about the surface of the earth, the meteor would be approximately [tex]r_{0} \approx 6.371 \times 10^{6}\; {\rm m} + 1.3 \times 10^{7}\; {\rm m} \approx 1.9 \times 10^{7}\; {\rm m}[/tex] away from the surface of planet earth. The meteor would be only [tex]r_{1} \approx 6.371 \times 10^{6}\; {\rm m}[/tex] away from the center of planet earth just before landing.

Note the significant difference between the two distances. Thus, the gravitational field strength (and hence acceleration of the meteor) would likely have changed significant during the descent. Thus, SUVAT equations would not be appropriate.

During the descent, gravitational potential energy ([tex]\text{GPE}[/tex]) of the meteor was turned into the kinetic energy ([tex]\text{KE}[/tex]) of the meteor. Make use of conservation of energy to find the velocity of the meteor just before landing.

Initial [tex]\text{KE}[/tex] of the meteor:

[tex]\displaystyle (\text{Initial KE}) = \frac{1}{2}\, m\, {v_{0}}^{2}[/tex].

Initial [tex]\text{GPE}[/tex] of the meteor:

[tex]\displaystyle (\text{Initial GPE}) &= -\frac{G\, M\, m}{r_{0}}[/tex].

(Note the negative sign in front of the fraction.)

Just before landing, the [tex]\text{KE}[/tex] and the [tex]\text{GPE}[/tex] of this meteor would be:

[tex]\displaystyle (\text{Final KE}) = \frac{1}{2}\, m\, {v_{1}}^{2}[/tex].

[tex]\displaystyle (\text{Final GPE}) &= -\frac{G\, M\, m}{r_{1}}[/tex].
If the air friction on this meteor is negligible, then by the conservation of mechanical energy:

[tex]\begin{aligned}& (\text{Initial KE}) + (\text{Initial GPE}) \\ =\; & (\text{Final KE}) + (\text{Final GPE})\end{aligned}[/tex].

[tex]\begin{aligned}& \frac{1}{2}\, m\, {v_{0}}^{2} - \frac{G\, M\, m}{r_{0}} \\ =\; & \frac{1}{2}\, m\, {v_{1}}^{2} - \frac{G\, M\, m}{r_{1}}\end{aligned}[/tex].

Rearrange and solve for [tex]v_{1}[/tex], the velocity of the meteor just before landing:

[tex]\begin{aligned}{v_{1}} &= \sqrt{\frac{\displaystyle \frac{1}{2}\, m\, {v_{0}}^{2} - \frac{G\, M\, m}{r_{0}} + \frac{G\, M\, m}{r_{1}}}{(1/2)\, m}} \\ &= \sqrt{{v_{0}}^{2} - \frac{G\, M}{r_{0}} + \frac{G\, M}{r_{1}}} \\ &= \sqrt{{v_{0}}^{2} - G\, M\, \left(\frac{1}{r_{1}} - \frac{1}{r_{0}}\right)}\end{aligned}[/tex].

Substitute in the values and evaluate:

[tex]\begin{aligned}v_{1} &= \sqrt{{v_{0}}^{2} - G\, M\, \left(\frac{1}{r_{1}} - \frac{1}{r_{0}}\right)} \\ &\approx \sqrt{\begin{aligned}(& 6.5 \times 10^{3}\; {\rm m \cdot s^{-1}}) \\ & - [6.67 \times 10^{-11}\; {\rm N \cdot {m}^{2}\cdot {kg}^{2} \times 5.697\; {\rm kg}}\\ &\quad\quad \times (1 / (6.371 \times 10^{6}\; {\rm m}) - 1 / (1.9371 \times 10^{7}\; {\rm m}))]\end{aligned}} \\ &\approx 1.1 \times 10^{4}\; {\rm m\cdot {s}^{-1}}\end{aligned}[/tex].

(Note that assuming a constant acceleration of [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex] would give [tex]v_{1} \approx 1.7\times 10^{4}\; {\rm m\cdot s^{-1}}[/tex], an inaccurate approximation.

CAN SOMEONE PLS HELP ME!!!

Answers

Answer:

c

Explanation:

the question answered itself.

Option C -average speed is used, which is total distance divided by total time.

Where is the electric field between a charged balloon and a charged piece of paper 0.04 m away?


A. The electric field is in the region around the balloon and paper where there are outside charges that affect them.


B. The electric field is in the 0.04 m distance between the balloon and paper and not anywhere else around either the paper or the balloon.


C. The electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.


D. The electric field is in the region in which the forces come in contact.

Answers

The electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.

What is electric field?

An electric field is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

Thus, for the charged balloon and a charged piece of paper 0.04 m away, we can conclude that, the electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.

Learn more about electric field here: https://brainly.com/question/14372859

#SPJ1

Express this as y=mx + c
1.
[tex] \frac{1}{y} = \alpha ( {x - 6)}^{ - b} [/tex]

Answers

Answer:

let alpha be y,

1/2=y(x-6)^(-b)

1/2=y(1/x-6)

1/2=y/x-6

x-6=2y

x-6/2=y

(1/2)x-(6/2)=y

y=(1/2)x-3

A source of light emits photons with a wavelength of 8.1 x 10-8 meters. What is the frequency of this light

Answers

Answer:

Explanation:

Speed of light v = 3 x 10⁸ m/s

wavelength λ = 8.1 x 10⁻⁸ m

frquency f = v/λ = 3.7 x 10¹⁵ Hz

If a source of light emits photons with a wavelength of 8.1 x 10⁻⁸ meters, then the frequency of the light would be 3.7 × 10¹⁵ Hz, as the wavelength and the frequency of the photon are inversely proportional to each other.

What is Wavelength?

It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

C = λν

As given in the problem if a source of light emits photons with a wavelength of 8.1 x 10⁻⁸ meters, then we have to find out the frequency of the light,

The frequency of the light = 3 × 10⁸ / 8.1 x 10⁻⁸

                                            =3.7 × 10¹⁵ Hz

Thus, the frequency of the light would be 3.7 × 10¹⁵ Hz

To learn more about wavelength, refer to the link given below ;

brainly.com/question/7143261

#SPJ5

Q. 1 MWH is equal to ------- joules
a.3.6*10^10
b.3.6*10^6
c.3.6*10^9
d.3.6

Answers

Correct option is B
1 kWh is equal to 3.6 × 10
6

1 Watt-sec is a Joule a watt expended for a second.
Because there’s 3600 seconds in an hour,
then 3600 Ws = 1 Wh = 3600 Joules = 3.6 kJ
so 1000 Wh = 1 kWh = 1000 × 3.6 kJ = 3.6 MJ = 3.6 × 10
6

Which of the following would NOT cause acceleration? A. An object falling towards the earth. B. The wind catching the sail of a sailboat. C. A car traveling at a constant velocity. D. A pitcher throwing a baseball.

Answers

C

constant velocity = zero acceleration

state the precautions that is taken when charging a metal objectexplain why a rubber balloon rubbed will often stick to the wall when it has been rubbed ​

Answers

Answer:

The balloon will attach to the wall because the balloon's negative charges will drive the electrons in the wall to shift to the other side of their atoms, leaving the wall's surface positively charged.

Calculate the average velocity of the cart for each fan speed. Round your answers to the nearest tenth. The cart with Low fan speed has an average velocity of cm/s. The cart with Medium fan speed has an average velocity of cm/s. The cart with High fan speed has an average velocity of cm/s.

A 4-column table with 3 rows. Column 1 has entries Elapsed time to finish line(s); Total distance (c m); Average velocity (c m/s). Column 2 is labeled Cart Speed (Low Fan Speed) (c m/s) with entries 7.4; 500; unknown. Column 3 is labeled Cart Speed (medium Fan Speed) (c m/s) with entries 6.4; 500; unknown. Column 4 is labeled Cart Speed (High Fan Speed) (c m/s) with entries 5.6; 500; unknown.

Answers

The velocity for column 1 is 67.57m/s.The velocity for column 2 is 78.13m/s.The velocity for column 3 is 89.29m/s.

What is Velocity?

This is defined as the rate of change of position of an object with respect to time. The unit is metres per second(m/s).

Velocity = distance/ time

The velocity for column 1 = 500m/7.4s = 67.57m/s.

The velocity for column 2  = 500m/6.4s = 78.13m/s.

The velocity for column 3  = 500m/5.6s = 89.29m/s.

Read more about Velocity here https://brainly.com/question/6504879

Answer:

67.6

78.1

89.3

Explanation:

The two graphs shown represent the motion of two blocks with different masses, m1 and m2. The blocks are oscillating on identical springs. Which of the following statements correctly describes the relationship between m1 and m2 and provides evidence from the graphs?

Answers

Answer:

M1 would seem to be slower because of a larger mass

x1 = A1 sin ω1 t1        describes the displacement

ω1 / ω2 = ((k1 / k2) / (m1 / m2))^1/2 = (m2 / m1)^1/2  since k's are equal

ω1 / ω2 = 1/2 from graph    (frequency of 2 is greater)

(m1 / m2)^1/2 = ω2 / ω1    from above

m1 / m2 = 2^2 = 4    so m1 would have 4 times the mass of m2

M1 would seem to be slower because of a larger mass

x1 = A1 sin ω1 t1      

ω1 / ω2 = ((k1 / k2) / (m1 / m2))^1/2 = (m2 / m1)^1/2  since k's are equal

ω1 / ω2 = 1/2 from graph   (frequency of 2 is greater)

(m1 / m2)^1/2 = ω2 / ω1   from above

m1 / m2 = 2^2 = 4    so m1 would have 4 times the mass of m2.

What is the graph represents?

The two graphs shown represent the motion of two blocks with different masses, m1 and m2. The blocks are oscillating on identical springs. For the system consisting of the two blocks, the change in the kinetic energy of the system is equal to work done by gravity on the system. For the system consisting of the two blocks, the pulley and the Earth, the change in the total mechanical energy of the system is zero.

The two graphs shown represent the motion of two blocks with different masses, m1 and m2. The blocks are oscillating on identical springs. For the system consisting of the two blocks, the change in the kinetic energy of the system is equal to work done by gravity on the system.

Therefore, M1 would seem to be slower because of a larger mass

x1 = A1 sin ω1 t1      

ω1 / ω2 = ((k1 / k2) / (m1 / m2))^1/2 = (m2 / m1)^1/2  since k's are equal

ω1 / ω2 = 1/2 from graph   (frequency of 2 is greater)

(m1 / m2)^1/2 = ω2 / ω1   from above

m1 / m2 = 2^2 = 4    so m1 would have 4 times the mass of m2.

Learn more about graph on:

https://brainly.com/question/17267403

#SPJ2

Organic farming follows the
principles of health and
A. economic gain
B. wealth
C. profits
D. ecology

Answers

Answer:The Answer is economic gain

Explanation:

Answer is A economic gain

A student uses a motion detector to study the kinematics of a block suspended on a vertical spring that obeys Hooke’s law. The student pulls the block a distance y from equilibrium, releases it from rest, and records the speed v of the block as it passes the equilibrium position. The student repeats this process several times for different values of y. Which variables should be plotted on the horizontal and vertical axes to yield a linear graph?

Answers

When the speed of the block is plotted on the vertical axis and displacement of the block plotted on the horizontal axis, a linear graph will be obtained showing the inverse relationship between the speed of the block and the displacement of the block.

Hooke's law

Hooke's law states that force or load applied to elastic material is directly proportional to the extension produced in the material. This law can be written as;

F = kx

where;

F is the applied forcek is spring constantx is extension of the materialVelocity of the block

The speed of the block increases with decreasing displacement of the bock. This is because the kinetic energy of the block is maximum at zero displacement and minimum at maximum displacement of the block.

Thus, when the speed of the block is plotted on the vertical axis and displacement of the block plotted on the horizontal axis, a linear graph will be obtained showing the inverse relationship between the speed of the block and the displacement of the block.

Learn more about Hooke's law here: https://brainly.com/question/2648431

. Radiation travels at the speed of light
T or F?

Answers

Answer:

electromagnetic radiation moves at the speed of light

I’m sorry, but the person you are calling has a voice mailbox that has not been set up yet.

Please try again later.

Bye Bye!

Answers

Answer:

bye bye

Explanation:

Answer: Or please call again to see if they reached the phone yet.

Explanation: It always stops ringing right before someone gets to there phone so call again in 2 minutes. :3

A crate of oranges is shoved across a grocery store floor with a force of 100 N for a distance of 1 meter. The crate travels an additional 1 meter after the shove and stops just short of the display. You can conclude: the magnitude of work done by frictional forces on the crate is 100 J the magnitude of work done by the applied force on the crate is 100 J the magnitude of the force of friction on the crate is 50 N all of the above conclusions are correct none of the above conclusions are correct

Answers

The statements that are true are;

the magnitude of work done by frictional forces on the crate is 100 Jthe magnitude of work done by the applied force on the crate is 100 JWhat is work done?

Work is said to be done when te force applied travels a distance in the direction of the force. Now we can see that when the force is applied by shoving the crate, work is done, an additional work is done by friction to bring the crate to a stop.

Hence, the following are true;

the magnitude of work done by frictional forces on the crate is 100 Jthe magnitude of work done by the applied force on the crate is 100 J

Learn more about work: https://brainly.com/question/18094932?

can somebody please help

Answers

The amplitude of the wave on the given sinusoidal wave graph is 10 cm.

What is amplitude of wave?

The amplitude of a wave is the maximum displacement of a wave. This is the highest vertical position of the wave from the origin.

Amplitude of the wave is calculated as follows;

From the graph, the amplitude of the wave or maximum displacement of the wave is 10 cm.

Thus, the amplitude of the wave on the given sinusoidal wave graph is 10 cm.

Learn more about wave amplitude here: https://brainly.com/question/25699025

Given the necessary information about the two components of projectile motion, your task is to explain the difference or even describe the two components by their formulas or equations.

Answers

The two components of projectile motion include the following:

Horizontal motionVertical motion.

What is a Projectile?

This is defined as a missile propelled by the application of an external force and allowed to move freely under the influence of gravity and air resistance.

The equation for Horizontal motion Vx = V * cos(α)

Vertical velocity component: Vy = V * sin(α)

Read more about Projectile here https://brainly.com/question/24216590

10 N
30 N
4 kg

what’s the net force & acceleration

Answers

Answer:

The question is not complete. Since force is a vector quantity we need to consider the direction of the two forces.

hence if they are acting opposite on the body . then the net force will be  30-10=20N20N

Acceleration=Force/mass

=20/4

=5m/s^2

Explanation:

17) Which object would likely have the greatest velocity
a. a bouncy ball
b. a bowling call
a go-kart
d. a school bus

Answers

Answer: b or d

Explanation: b or d

Answer:

a

Explanation:

F= ma

interestingly

when you increase the mass the acceleration decreases while when the mass decreases the acceleration increases

(man, PHYSICS IS JUST THE BESY)

A: a

object with the smallest mass has largest acceleration

A 1980-kg car is traveling with a speed of 15.5 m/s. What is the magnitude of the horizontal net force that is required to bring the car to a halt in a distance of 39.2 m

Answers

Answer: 6067.5 N

Explanation:

Work = Change in Energy. To start, all of the energy is kinetic energy, so find the total KE using: KE = 1/2(m)(v^2). Plug in 1980 kg for m and 15.5 m/s for v and get KE = 237847.5 J.

Now, plug this in for work: Work = Force * Distance; so, divide work by distance to get 6067.5 N.

Why is it more difficult to roller blade across rough asphalt than it is to roller blade across smooth concrete?
A. Asphalt has more mass than concrete.
B. Friction on the roller blades is greater on asphalt than on concrete.
C. Roller blades exert a greater force on asphalt than they do on concrete.
D. The inertia of the roller blades is greater on asphalt then on concrete.

Answers

Answer:

The answer is B. Friction on the roller blades is greater on asphalt than on concrete.

Have an amazing day!!

Please rate and mark brainliest!!

A women runs a kilometer using a of 210N and a pwower output of 500W how long does it take this woman to complete 1 kilometer

Answers

Answer:

7 minutes

Explanation:

Explanation:

Power = work / time

Power = force × distance / time

500 W = 210 N × 1000 m / t

t = 420 s

t = 7 min

Other Questions
please helpwhat is the equation for the following graphA=1 The Carlisle Indian School was not federally funded.True or False? Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.How many batches of cookies can she make? Jeremiah is 16 years old and is at risk for not getting his diploma. What new school alternative can help Jeremiah earn his diploma which list of fraction is in order from least to greatest value In the modern time school is declared as a peace zone area . But school are freguently closed due to the different issue and stracts . In your view what should the local government and society do to make school really a peace zone \ What objects, people, and places are representative of the major themes in the story night by Elie W.? DURING A SOLAR ECLIPSE ONLY _____________ OF THE SUN WILL LOOK BLAKENED I need a simple picture or answer that helps me learn the Korean alphabet Help me pls -3^3(-8n^3-3n^2) Please help me solve this code. I gave all the info you would need. Find the equation of the line with slope m=53 that contains the point (6,12). Brainliest if correct a system with 1 mole of an ideal gas changes its volume from 10 L to 1 L by isothermal compressoin. What is the change in entropy of the system what scale factor is used to draw the longer trapezoid? Solve this system of equations3x+3y+z =-18x-3y+2z=158x-2y+3z=7 Where is the philtrum located on the face?A. Centered, above the top lipB. The empty space between the lips and noseC. Underneath the bottom lipD. The area between the nostrils 1. Why did a Cold War develop between the Soviet Union and United States? 2. Why was it called the "Cold War"? how are you'll doing today! True or False: Motorcyclists have half of the rights and responsibilities on public roadways as automobiledrivers