Which graph shows constant acceleration with correctly placed independent and dependent variables?

Answers

Answer 1

Answer:

a = (V2 - V1) / t      equation  for constant acceleration

if t the independent variable is placed on the abcissa or x-axis and V the dependent variable is placed on the ordinate or y-axis then the acceleration would be the slope at the point considered.


Related Questions

Select the correct answer.
What is the average velocity of the particle from rest to 9 seconds?

Answers

The average velocity of the particle from rest to 9 seconds would be 2 meters/sec.

How to find the average velocity?

This average velocity can be calculated with the following equation:

v = dx / dt

where:

dx = displacement = 18 meters

dt = interval of time = 9 seconds

Substitute;

v = dx / dt

v = 18 / 9

v = 2 meters/sec

Hence, the average velocity of the particle from rest to 9 seconds would be 2 meters/sec.

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Tectonic plates are large segments of the earth's crust that move slowly. Suppose one such plate has an average speed of 5.5 cm per year.
(a) What distance does it move in 51 seconds at this speed?
m
(b) What is its speed in miles per million years?
mi/My

Answers

The distance and speed are as follows:

Distance = 8.89 * 10⁻⁶ cmSpeed = 34.2 miles per million years.

What is speed of a body?

Speed of a body is the ratio of the distance covered by a body and the time it takes to cover that distance,

Speed = distance/time

The number of seconds in a year = 365.25 * 24 * 3600 = 31557600 second

a) Distance covered in 51 seconds = 5.5/31557600 * 51

Distance = 8.89 * 10⁻⁶ cm

b) 5.5 cm = 3.4175 * 10⁻⁵ miles

Sped in miles per million years = 3.42 * 10⁻⁵ miles/1 * 10⁻⁶ million years

Speed = 34.2 miles per million years.

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Ivan exerts 20 N of force to lift a basket 2 m. He then carries the basket 5 m across a room to place it on a shelf.

Ivan does work when he
.

The amount of work he does is

Answers

The amount of the work done will be 100 J. Work done is denoted by W.

What is work done?

Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

Work may be zero, positive and negative.it depends on the direction of the body displaced. if the body is displaced in the same direction of the force it will be positive.

The given data in the problem is;

F is the force applied = 20 N

d is the displacement = 5.0 m

The work done is found as;

W = F × d

W =  20 N × 5

W= 100 J

Hence, the amount of work done will be 100 J.

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Answer:

lifts the basket, 40J

Explanation:

Water's specific heat capacity is 4.184 J/(g · °C). How does this compare to the heat capacities of most common substances?

Answers

Answer:

Explanation:

Comment

It's high. It takes quite a bit of heat to get water to change its heat content. Most substances don't reach much more the 0.5 J/(gram*oC)

A ball A of mass 0.5 kg moving with a Velacity of 10 m/s a head on Collision with a ball B of mass 2kg moving with a Velocity of 1ms in the oppoite direction. If A and B stick together after Collision, Calculate the Common Velocity in the direction of A

Answers

Answer:

The common velocity v after collision is 2.8m/s²

Explanation:

look at the attachment above ☝️

Entropy is how quickly things get messy.
O A. True
OB. False



Answer : False

Answers

Answer:

false

Explanation:

it cant defined the messy and clean states

A metallic spoon is placed in a hot cup of coffee. If the coffee gives away 190 calories to the spoon to cool down by 0.75°C, what is the mass of the coffee? (Assume that ccoffee = 1.0 cal/gC°.)

Answers

According to the definition of calorimetry,  the mass of the coffee is 253.33 g.

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).

so, the equation that allows to calculate heat exchanges is:

Q = c× m× ΔT

where:

Q is the heat exchanged by a body of mass m.

c is the specific heat substance.

ΔT is the temperature variation.

Mass of coffee

In this case, Given is :

Q= 190 calories

c= 1

m= ?

ΔT= 0.75 C

Replacing in the equation that allows to calculate heat exchanges is:

190 cal = 1 × m× 0.75 C

Solving:

m= 190 cal÷ (1 × 0.75 C)

m=253.33 g

Finally, the mass of the coffee is 253.33 g.

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a highway curve has a radius of 300 m. at what angle should it be banked for a traffic speed of 100 km/h

Answers

The angle at which it should be banked for a traffic speed of 100 km/h is

14.57°.

How do find the angle of Banking of road?Banking of roads is the practice of raising the outer borders of curving roads over the inner edge in order to give vehicles the necessary centripetal force to make a turn safely.Skidding can be prevented by banking.The banking of roadways aids in preventing toppling or overturning.

To find the angle of banking following formula can be used,

[tex]tan \alpha = v^{2} /rg[/tex]

Given v = 100km/h or

          = 100  x 1000 / 3600

          = 27.7 m/s

Hence,

[tex]tan \alpha = (27.7)^{2} / 300 * 9.81[/tex]

[tex]tan\alpha = 0.26[/tex]

[tex]\alpha = tan^{-1} 0.26[/tex]

[tex]\alpha = 14.57[/tex]°

Hence, the angle of banking of the road will be 14.57°

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You turn on a cars radio, what energy transformation is taking place?

Answers

Answer:

C probably

Explanation:

think c because when you first start the car the first thing you hear electrical sound.

Please help me!!

1. For objects like insulators (plastics), they can get charged by ___.

2. For metals, where there are more loosely bound electrons, they can get charged without contact by ___.

3. For metals, they can also be charged by direct contact by ___.​

Answers

For objects like insulators (plastics), they can get charged by Friction.For metals, where there are more loosely bound electrons, they can get charged without contact by inductionFor metals, they can also be charged by direct contact by Electrostatic Induction.

A squirrel sitting on the ground starts to run with an acceleration of 5.1 m/s².
How fast is the squirrel going after 0.25 seconds?
O A. 20.4m/s
OB. 0.49 m/s
OC. 3.1 m/s
OD. 1.28 m/s

Answers

Answer:

0.159

Explanation:

the formula to find its is 1÷2*gt^2

Answer:

D

Explanation:

v= a t

 = 5.1 * .25 = 1.275 m/s

A point charge is placed 3m from a 4uc charge what is the strength of the electric field on the point charge at this distance round to the nearest thousand

Answers

The strength of the electric field on the point charge at this distance will be 4000 V/m.

What is the strength of the electric field?

The strength of the electric field is the ratio of electric force per unit charge.

The given data in the problem is;

Qis the unit charge = 4.0 × 10⁻⁶ C

E is the strength of the electric field

R is the distance from point charge = 3 m

The strength of the electric field is;

[tex]\rm E = \frac{KQ}{R^2} \\\\ \rm E = \frac{9 \times 10^9 \times 4 \times 10^{-6} \ C}{3^2} \\\\ E= 4000 V/m[/tex]

Hence, the strength of the electric field on the point charge at this distance will be 4000 V/m.

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It just so happens that regardless of the material, when objects are heated up they will start to glow and change colors at near identical temperatures. The plot that you see is called a blackbody spectrum. This plot tells us the intensity or the “amount” of light that an object will emit at different wavelengths (or “colors”). The visible wavelengths are marked by their colors on the plot. To the right of the visible band is lower energy infrared light. To the left of this band is higher energy ultraviolet (UV) light.
Click the + button that is to the left of the intensity scale (far left side of the screen) such that the top of the scale is at 1x10-3 (in the picture above, the top of the scale says 100).
Now use the temperature slider to the right, and take the temperature all the way down to 300 Kelvin (80 Fahrenheit).
Now slowly begin to raise the temperature. At approximately what temperature would a heated material (metal, wood, etc.) begin to give off visible light at a deep red color?

Answers

Answer: the plot that you see is called a blackbody spectrum. This plot tells us the intensity or the amount of light that an object will emit at different wavelenths.

Explanation: i hope that this helps

the work function for magnesium is 3.70 ev. what is its cutoff frequency?

Answers

The cutoff frequency for magnesium is 8.93 x 10¹⁴ Hz.

What is cutoff frequency?

The work function is related to the frequency as

W0 = h x fo

where, fo = cutoff frequency and h is the Planck's constant

Given is the work function for magnesium is  3.70 eV.

fo = 3.7 x 1.6 x 10⁻¹⁹ / 6.626 x 10⁻³⁴

fo = 8.93 x 10¹⁴ Hz.

Thus, the cut off frequency is 8.93 x 10¹⁴ Hz.

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A 50 g bullet moving horizontally at a velocity of 400 m/s collides and embeds itself in a 25 kg block that rests on a rough horizontal surface and is attached to a spring with a spring constant of 180 N/m. The impact causes a compression of 12 cm in the spring. What is the coefficient of friction between the block and the surface?

Answers

The coefficient of friction between the block and the surface is determines as 0.1.

Final velocity of the block and the bullet

Apply the principle of conservation of linear momentum;

0.05(400) = v(0.05 + 25)

20 = 25.05v

v = 0.8 m/s

Coefficient of friction

Apply the principle of conservation of energy

P.E  - K.E = Ux

μmgx - ¹/₂mv²  = ¹/₂kx²

μ(25.05)(9.8)(0.12) - 0.5(25.05)(0.8)² = 0.5(180)(0.12)

29.459μ - 8.016   = 10.8

29.459μ = 2.784

μ = 0.1

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Tennis balls experience a large drag force. A tennis ball is hit so that it goes up and then comes back straight down.

Answers

A tennis ball is hit by a large force so that it goes up into the air and then it comes back straight down because of gravity.

How object move upward and downward?

We know that objects move upward due to application of force on it while on the other hand, object comes to the ground because of the attraction of earth which we called gravity.

So we can conclude that a tennis ball is hit by a large force so that it goes up into the air and then it comes back straight down because of gravity.

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The flux through the coils of a solenoid changes from 2.57.10-5 Wb to 9.44.10-5 Wb in 0.0154 s. If 4.08 V of EMF is generated, how many loops does the solenoid have? (No unit)​

Answers

Hello!

We can use Faraday's Law of Electromagnetic Induction to solve.

[tex]\epsilon = -N \frac{d\Phi_B}{dt}[/tex]

ε = Induced emf (4.08 V)
N = Number of loops (?)

[tex]\Phi_B[/tex] = Magnetic Flux (Wb)
t = time (s)

**Note: The negative sign can be disregarded for this situation. The sign simply shows how the induced emf OPPOSES the current.

Now, we know that [tex]\frac{d\Phi_B}{dt}[/tex] is analogous to the change in magnetic flux over change in time, or [tex]\frac{\Delta \Phi_B}{\Delta t}[/tex], so:
[tex]\epsilon = N \frac{\Delta \Phi_B}{\Delta t}\\\\\epsilon = N \frac{\Phi_{Bf} - \Phi_{Bi}}{\Delta t}[/tex]

Rearrange the equation to solve for 'N'.

[tex]N = \frac{\epsilon}{ \frac{\Phi_{Bf} - \Phi_{Bi}}{\Delta t}}[/tex]

Plug in the given values to solve.

[tex]N = \frac{4.08}{ \frac{9.44*10^{-5} - 2.57*10^{-5}}{0.0154}} = 914.585 = \boxed{915 \text{ coils}}[/tex]

**Rounding up because we cannot have a part of a loop.

Two identical 3.0-kg cubes are placed on a horizontal surface in
contact with one another. The cubes are lined up from left to
right and a force F₁ is applied to the left side of the left cube
causing both cubes to move at a constant speed v. If the
coefficient of kinetic friction between the cubes and the
surface is 0.3, what is the magnitude of the force exerted by the
left cube on the right cube?
(3

Answers

The magnitude of the force exerted by the left cube on the right cube is 17.64N.

What is frictional force?

When an object is moving on a rough surface, it experiences opposition. This opposing force is called the friction.

Two identical 3.0-kg cubes are placed on a horizontal surface in contact with one another. The cubes are lined up from left to right and a force F₁ is applied to the left side of the left cube causing both cubes to move at a constant speed v. The coefficient of kinetic friction between the cubes and the surface is 0.3.

From the equilibrium of forces in vertical direction

Normal force N= 2m x g

friction force f = μN =μ(2m)g

From the equilibrium of forces in horizontal direction

F₁ =ma =0

using Newton's third law of motion, we get

F₁  - f =0

F₁  =f = μ(2m)g

Put the values, we get

F₁  = 17.64N

Thus, magnitude of the force exerted by the left cube on the right cube is 17.64N.

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a concave lens creates a virtual image at -47.0 cm and a magnification of +1.75. what is the focal length?

Answers

The focal length of given concave lens will be -26.85 cm

The height of an image to the height of an object is the ratio that is used to determine a lens' magnification. Additionally, it is provided in terms of object and image distance. It is equivalent to the object distance to image distance ratio.

Given  concave lens creates a virtual image at -47.0 cm and a magnification of +1.75.

We have to find focal length

The focal length can be found out by following way:

Magnification = m = +1.75

m = hi/h

hi = -47 cm

1.75 = -47/h

h = -26.85 cm

So the focal length of given concave lens will be -26.85 cm

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Answer:

26.85

Explanation: I got it right on Acellus.

While a substance is heated it reaches its boiling point. What happens if heating continues while it is boiling?

Answers

Answer:

liquid turns into vapor when the liquid molecules achieves the energy to break down the form or when gets highly excited. The temp required for this is called latent heat of vaporization. As the liquid molecules attain this energy through heat it suddenly changes form into vapor , and when the heat is continued , molecule after molecule receives this energy and changes to vapor .So if you continue heating the liquid all the liquid will change form to vapor state leaving residue , ie the dissolved particles .

liquid turns into vapor when the liquid molecules achieves the energy to break down the form or when gets highly excited. The temp required for this is called latent heat of vaporization. As the liquid molecules attain this energy through heat it suddenly changes form into vapor , and when the heat is continued , molecule after molecule receives this energy and changes to vapor .So if you continue heating the liquid all the liquid will change form to vapor state leaving residue , ie the dissolved particles .I’m no expert but this is what i think happens …

In infrared satellite images, land appears _________ and clouds appear _________. A. red, yellow B. white, black C. black, white D. yellow, red

Answers

In infrared satellite images, land appears black and clouds appear white. C

What are infrared satellite images?

Infrared satellite images are images produced as a result of electromagnetic radiations reflected or emitted from a target surface in the infrared position of the electromagnetic spectrum.

On infrared images, the clouds emit very bright white color because of the low temperature and the land appears to be black because of the hot temperature.

Therefore, in infrared satellite images, land appears black and clouds appear white. C

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a person walk at first constant speed 5 m/s then back alone the straight line from B to A at a constant speed 3 m/s a) what is his average speed over the entire trip b) what is his average velocity over the entire trip​

Answers

Answer:

3.75 m/s

Explanation:

Comment

Let's deal with the second question first. The average velocity is 0 because the displacement (distance between the starting point and ending point) is 0.

The first question is a little harder. You don't seem to have enough information. When that happens, you can just make things up. Now there's an interesting solution. You could do it with algebra, but it is easier to see with numbers.

Givens

d = 150 m. between A and Br1 = rate from A to B = 5 m/sr2 = rate from B to A = 3 m/stime A to B = t1time B to A = t2

Formulas

t1 = d / r1

t2 = d/r2

average rate = total distance / total time

Solution

t1 = 150 m / 5 m/s = 30 seconds

t2 = 150 m / 3 m/s = 50 seconds

Total distance = 150 m + 150 m = 300 m

Total time = 30 seconds + 50 seconds = 80 seconds

Average speed = 300 m / 80 s

Answer

Average speed = 3.75 m/s

A stone is dropped from the top of a tower which touches the ground after 2 seconds. Calculate the speed of the stone hitting the ground surface. (g = 9.8 m/s²)​

Answers

Answer:

  19.6 m/s

Explanation:

The velocity is the product of acceleration and time.

__

Here, the acceleration is due to gravity.

  v = at

  v = (9.8 m/s²)(2 s) = 19.6 m/s

The stone hits the ground with a speed of 19.6 m/s.

••••••••••••••••••••••••••••••••••••••••••••[tex] \mathbb{ QUESTION:}[/tex]

A stone is dropped from the top of a tower which touches the ground after 2 seconds.

Calculate the speed of the stone hitting the ground surface. (g = 9.8 m/s²).

[tex] \mathbb{SOLUTION:} [/tex]

[tex]v = u + at[/tex]

[tex]v = 9.8 m/s² x 2sec[/tex]

[tex]v = 19.6 \: m/ {s}^{2} [/tex]

••••••••••••••••••••••••••••••••••••••••••••

Hence, The stone hit the ground with the velocity speed of 19m/.

- When you're solving velocity, you're determining how fast an object moves from its original position, with respect to a frame of reference, and a function of time.

- That means an object's velocity will be equal to the object's speed and direction of motion.

"Problem has been solve"

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Given the following specific heat capacities, which material was have the largest change in temperature if 10 grams of each substance absorbs 100 calories of heat?

Substance Heat Capacity - Cal / (g oC)

aluminum 0.22

copper 0.093

lead 0.0305

silver 0.056

Answers

Answer:

Explanation:

Comment

You could calculate it out by assuming the same starting temperature for each substance. (You have to assume that the substances do start at the same temperature anyway).

That's like shooting 12 with 2 dice. It can be done, but aiming for a more common number is a better idea.

Same with this question.

You should just develop a rule.  The rule will look like this

The greater the heat capacity the (higher or lower) the change in temperature.

The greater the heat capacity the lower the change in temperature

That's not your question. You want to know which substance will have the greatest temperature change given their heat capacities.

Answer

lead. It has the smallest heat capacity and therefore it's temperature change will be the greatest.

Find the relationship

[tex]\\ \rm\Rrightarrow Q=mc\Delta T[/tex]

[tex]\\ \rm\Rrightarrow 100=10c\Delta T[/tex]

[tex]\\ \rm\Rrightarrow 10=c\Delta T[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{c}=\Delta T[/tex]

[tex]\\ \rm\Rrightarrow \Delta T\propto \dfrac{1}{c}[/tex]

So lower the c higher ∆T

Lead has the largest change in T as it has least capacity

A skater starts from rest v1=0, from the top of an h=6m hill and travels d=20m until it gets to the bottom of the hill where its speed is v2=1.2m/s. If the skater has m=50kg, what is the friction force?

Answers

The friction force is 1.5N

skater's initial velocity v1=0height of the hill=20mskater's final velocity=1.2m/sMass of the skater=50kg

Now, using the third equation of motion-

[tex]v^{2}= u^{2} +2as[/tex]

v=final velocity

u=initial velocity

a=acceleration

s=distance

substitute the values in the above equation

1.2=0+ 2a×20

a=1.2/40

a=0.03

friction force=mass ×acceleration

                    =50×0.03

                    =1.5N

hence, The friction force is 1.5N

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Which sentence uses the subjunctive mood correctly?
A. Americans take fewer vacations than people in many other
nations.
OB. It's best that Marci learns how to do her own laundry.
C. It is important that she apologize to her sister for what she said.
D. Be sure to put your dirty clothes in the hamper, not next to it.

Answers

The sentence that uses the subjunctive mood correctly is as follows:

Be sure to put your dirty clothes in the hamper, not next to it.

Thus, the correct option is D.

What is Subjunctive mood?

Subjunctive mood may be defined as statements or actions that are in the probable situation of doubt and suspicion.

Except for the sentence fourth, the rest all indicates the factual concept with the appropriate condition.

Therefore, the correct option for this question is D.

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Answer:

C. it is important that she apologize to her sister for what she said

Explanation:

test approved

Consider an imaginary cylinder with a radius of r = 0.185 m and a length of l = 0.440 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 4.50 μC/m.
1.What is the electric flux through the cylinder due to this infinite line of charge?
2.What is the flux through the cylinder if its radius is increased to r= 0.600 m ?
3.What is the flux through the cylinder if its length is increased to l= 0.990 m ?

Answers

The electric flux through the cylinder due to this infinte line is 1 355 x 10' N m²/C, The electric flux through the cylinder is independent of the radius of the cylinder. So, the electric flux through the cylinder is the same as in part (a) which is equal to is 1.355 10 Nm C and The electric flux through the cylinder due to this infinte line is 2.711 x 10' N m² C

Given an imaginary cylinder with a radius of r = 0.185 m and a length of l = 0.440 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 4.50 μC/m.

Solve for the electric flux through the cylinder due to this infinte line:

As below equation mentions, the electric flux for a uniform electric filed is given by:

Фₓ = EA cosΦ

Φₓ = λLcosΦ)/ε

Φₓ = (3 x 10^(-6) x 0.4 x cos0)/(8.854 x 10^(-12))

Φₓ = 1.355 x 10^(5) Nm²/C

Hence the electric flux through the cylinder due to this infinte line is 1 355 x 10' N m²/C, The electric flux through the cylinder is independent of the radius of the cylinder. So, the electric flux through the cylinder is the same as in part (a) which is equal to is 1.355 10 Nm C and The electric flux through the cylinder due to this infinte line is 2.711 x 10' N m² C

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Two masses, m and 2m, approach each along a path at right angles to each other. After collision, they stick together and move of at 2m/s at angle 37⁰ to the original direction of the mass m. What where the initial speeds of the two particles?

Answers

The initial speed of the object with mass "m" is 4.79 m/s and the initial speed of the object with mass "2m" is 1.81 m/s.

Initial speed of the two masses

The initial speed of the two masses is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

let m be in horizontal directionlet 2m be in vertical directionangle between the two masses = 90 degreesin y - direction

[tex]m_1u_1sin(\theta_1) + m_2u_2sin(\theta_2) = (m_1 + m_2)vsin(\theta_3)\\\\mu_1sin(0) + 2mu_2sin(90) = (m + 2m)(2)sin(37)\\\\2mu_2 = 3.61m\\\\u_2 = \frac{3.61 m}{2m} \\\\u_2 = 1.81 \ m/s[/tex]

in x - direction

[tex]m_1u_1sin(\theta_1) + m_2u_2sin(\theta_2) = (m_1 + m_2)vsin(\theta_3)\\\\mu_1cos(0) + 2mu_2cos(90) = (m + 2m)(2)cos(37)\\\\mu_1 = 4.79 m\\\\u_1 = 4.79 \ m/s[/tex]

Thus, the initial speed of the object with mass "m" is 4.79 m/s and the initial speed of the object with mass "2m" is 1.81 m/s.

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The amplitude of the wave in the picture below is... Select one: a. 1 cm b. 1.5 cm c. 2 cm d. 3 cm

Answers

Answer:

1cm

Explanation:

The amplitude of a wave is the distance from the center line (in this case the 1 cm marker on the vertical ruler) to the highest or lowest point. For this image the highest point is 2 cm, 2cm-1cm=1cm. The lowest point is 0cm, 1cm-0cm=1cm.

The amplitude of the wave is 1 cm. So, the correct option is a.

What is meant by amplitude of a wave ?

A point on a vibrating body or wave can move up to its maximum distance or displacement when measured from its equilibrium position, which is known as the amplitude. It is equivalent to the length of the vibration path divided in half.

Here,

The crests and trough of a wave is given. Amplitude can also be defined as the peak distance of the crest or trough of the wave.

From the given diagram, we can say that the sum of heights of the crest and trough is given as 2 cm. So, that will be the total vibration path. So, half of its length will give the amplitude of the wave.

Therefore, the amplitude of the wave,

A = 2/2 = 1 cm

Hence,

The amplitude of the wave is 1 cm. So, the correct option is a.

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6. A metal block increases in temperature from 15 °C to 60 °C when supplied with 13 500 J of heat energy.
a) Calculate the heat capacity of the metal.
b) Calculate the specific heat capacity of the metal, if this sample has a mass of 0.75 kg.​

Answers

Answer:

Since 1 cal = 4.19 J     the heat Q received by the metal is

Q = 13,500 J * 1 C / 4.19 J = 3,222 calories

S = ΔQ / (ΔT * ΔM)  = 3222 cal / (45 deg C / 750 gm)

S = .095 cal / gm deg C

Note that specific heat capacity for Cu is .093 cal / gm deg C

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The law of cosines is a + b - 2abcosC = c. Find the value of 2abcosC. A. 20 B. 40 C. 37 D. -40 approximately 200 people are working on developing a new community just outside a major city. unlike other communities in the area, the development will feature innovative amenities such as solar powered houses Read the excerpt from A Long Walk to WaterThe pain was terrible. Salva tried to bite his lip, but theawfulness of that never-ending day was too much forhim. He lowered his head, and the tears began toflow.Soon he was crying so hard that he could hardly gethis breath. He could not think; he could barely see. Hehad to slow down, and for the first time on the longjourney, he began to lag behind the group. Stumblingabout blindly, he did not notice the group drawingfarther and farther ahead of him.As if by magic, Uncle was suddenly at his side."Salva Mawien Dut Ariik!" he said, using Salva's fullname, loud and clear.Salva lifted his head, the sobs interrupted by surprise."Do you see that group of bushes?" Uncle said,Mark this and returnWhich detail from the excerpt best supports the ideathat hope can appear when you least expect it?"the awfulness of that never-ending day was toomuch for him.""He could not think; he could barely see.""As if by magic, Uncle was suddenly at his side."O"Salva wiped his eyes with the back of his hand."Save and Exit Individuals who have been sexually harassed commonly experience guilt. courage. strength. empowerment. If a volume of air is warmed, it expands and tends to Mr. Sanchezs class sold fruit pies for $1.73 each and Mr. Kellys class sold bottles of fruit juice for $1.44 each. Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations that models this problem. Show all your work. 8Select the correct answer.Which of the following hints was most helpful in deciding the method of characterization used?OA. what the person doesOB. how the person looksOC. what the person saysOD. what others say about the personResetNext The cash price of a mobile phone is $540. Andrea bought the mobile phone by paying $42 monthly instalments over 15 months. Find the flat rate interest of the instalments, give your answer correct to 3 significant figures. How does a mutual fund differ from an indexfund?---a. Mutual funds group the stocks in theirfunds together while index funds donot.b. Mutual funds are passively managedwhile index funds are actively managed.c. Mutual funds typically have lower feesthan index funds.d. Mutual funds are actively managed by aprofessional while index funds are not. at the household level, higher saving rates lead to ______ and greater economic security. Circle Q is shown. Line segments P Q and R Q are radii. The length of R Q is 6. Angle P Q R is 45 degrees. Sector P Q R is shaded.Which statements are true about circle Q? Select three options.The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth.The area of the shaded sector is 4 units2.The area of the shaded sector depends on the length of the radius.The area of the shaded sector depends on the area of the circle.The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle. A machinist who had been producing 40 parts per day increased to the out put of 60 parts per day by going to a faster machine. How many times faster is the new machine? Wright your answer as a mixed number. Quadrilateral ABCD was rotated 360 clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?A (x, y)-(x,y)B(x, y)(x, y)c(x, y)-(x, y)D (x, y)-(x, y) Terry wants to pour cement around the edge of the circular patio in her backyard.The patio has a radius of 5 feet.What is the distance,in feet,around the edge of the patio?Use 3.14 for Pi.PLEASE EXPLAINE.15.7F.31.4G.49.3H.78.5 What is the missing fifth term in thepattern below?1, 8, 27, 64, ?Options:101125128202250 Given a regular 26 sided polygon, complete the following statements. find the area of the rectangle below (3x+4) feet x (x+3) feet select the correct answer Which statements accurately describe the actions needed to perform aid on a choking infant? Check all that apply. Perform the procedure in a sitting position. Position the infant face down on your forearm.Rest the infant face up on the floor. Thump the infants chest with the heel of your hand. Begin chest compressions if the blockage does not clear. 5. Use the law of Cosines to find each missing sides. Round to the nearest tenth complete each1. 570 mL = _______________ L2. 623 cm3 = _______________ m33. 38 gal. = _______________c4. 585mL = ________________tbsp5. 20 fl. oz. = ________________ tsp6. 12 hrs =________________ min