amplitude of superposition of two waves y1 = 5sinwt and y2 = 5coswt is
(2 Points)
a) 0
b) 5
c) 52
d) 10
along with explanation​

Answers

Answer 1

Answer:

correct answer is a

Explanation:

For this exercise we must add the two oscillations

          y_total = y₁ + y₂

          y_total = 5 sin wt + 5 cos wt

          y _total = 5 (sin t wt + cos wt)

the sine and cosine functions are related

          cos (a +90) = cos a cos 90 - sin 90 sin a = - sin a

let's call  

        a= wt

let's substitute

           y_total = 5 (-cos (wt +90) + cos wt)

the cosine function has the same value for +θ and -θ

           cos θ = cos (-θ)

Thus

           y_total = 0

correct answer is a


Related Questions

A boat travels with a velocity equal to 14.0 meters per second, east in 6.15 seconds. What distance in meters does the boat travel?

Answers

Answer:

Distance, d is 86.1 meters.

Explanation:

Given the following data;

Time, t = 6.15secs

Velocity = 14m/s

Velocity can be defined as the rate of change in displacement (distance) with time. Velocity is a vector quantity and as such it has both magnitude and direction.

Mathematically, velocity is given by the equation;

[tex]Velocity = \frac{distance}{time}[/tex]

[tex]V = \frac{d}{t}[/tex]

[tex]d = Vt[/tex]

Substituting into the above equation;

[tex]d = 14 * 6.15[/tex]

d = 86.1m

Hence, the distance traveled by the boat is 86.1 meters.

A florist has 144 roses and 312 lilies. He makes separate bunches of roses and lilies having equal number of flowers in each bunch. What is the greatest number of flowers the florist can have in each bunch

Answers

12 in each I believe ,

8Why do ionic
compounds tend to
have high meling
and boiling points?

Answers

Answer: Ionic compounds have high melting points and boiling points because the electrostatic forces of attraction between oppositely charged ions are strong and large amount of energy is require to separate the ions.

Explanation:

Pls help me with this
Quickly
I’ll mark you Brainly

Answers

Answer:

D

Explanation:

Since the full cart has more mass because of the objects, it requires more force to stop.

Answer:

D

Explanation:

If you had a known sample of a mineral whose density was 7.1 grams/ml and its volume was 15 ml. What is the mass of the mineral.

Answers

Answer:

The answer is 106.5 g

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question

volume = 15 mL

density = 7.1 g/mL

We have

mass = 7.1 × 15

We have the final answer as

106.5 g

Hope this helps you

What wave moves in the same direction as the force that created it?

Answers

The answer is longitudinal waves

A torch has 150J of energy supplied from a battery,
70J are transferred to light, 80J goes to heat, what is
the efficiency of the torch?

Answers

The efficiency of the torch light from the total energy supplied and useful energy is 46.7%.

Efficiency of the torch

The efficiency of the torch is the amount of energy used to produce light compared to the total energy supplied to the torch light. This can also be called useful energy.

Total energy supplied to the torch = 150 J

Total energy used to produce light = 70 J

The efficiency of the torch light is calculated as follows;

Efficiency = 70/150 x 100%

Efficiency = 46.7%

Thus, the efficiency of the torch light from the total energy supplied and useful energy is 46.7%.

Learn more about efficiency here:https://brainly.com/question/15418098

How many neutrons does krypton have

Answers

Krypton has 48 neutrons.

Air always moves from an area of high pressure to an area of ____________ pressure.

Answers

Answer:

low

Explanation:

This is because the energy in the air molecules in a high pressured area will constantly move and expand outwards. This is why gas leaks outside of labs, pipes, and soda bottles.


4. a.) Which is closer to the Moon-the middle of Earth or the water on t
side of Earth facing the Moon?
or

Answers

Answer:

The water on the side of the Earth facing the Moon

Combined gas law, A gas balloon has a volume of 106L when the temperature is 318K and the pressure is 1.5 atm. What will its volume be at 293 K and 2 atm.

Answers

P1 x v1/t1 = p2 x v2 / t2


use the given values:

1.5 x 106 / 318 = 2 x v2 / 293

Simplify:

0.5 = (2 x v2)/293

Multiply both sides by 293:

146.5 = 2 x v2

Divide both sides by 2:

V2 = 73.25 L

Answer: 73.25 L

Question 1 (1 point)
You pick up a box of books. The box is labeled 50N. What is the actual mass of the
box?
50N
5.1 kg
490 kg
9.8 m/s2

Answers

Answer:

[tex]actual \: mass \: of \: the \: box \: is = 5.0kg[/tex]

Explanation:

[tex]the \: actual \: mass \: of \: the \: box \: is \: m \: = \frac{w}{g} \: = \frac{50}{10} = 5.0kg[/tex]

If a planet's average distance from the sun is 10 AU, what is its orbital period?

Answers

The period will be 11.18 years

your welcome

your girl unique

|| ▼ Answer ▼ ||

The orbital period is 31.62 years when the average distance from the sun is 10AU

|| ✪ Explanation✪ ||

Given:

The average distance of the planet from the sun is r = 10 AU

To find the orbital period.

According to Kepler's third law,

[tex]T^{2}[/tex] ∞ [tex]r^{3}[/tex]

[tex]T^{2} =kr^{3}[/tex]

[tex]T=\frac{3}{2}[/tex]

Here, the constant k is taken to be 1.

Substituting the values, the orbital speed will be

[tex]T=(10)\frac{3}{2}[/tex]

[tex]=31.62~years[/tex]

Final Answer: The orbital period is 31.62 years when the average distance from the sun is 10AU

Hope this helps!

If you have any queries please ask.

What type of relationship exists between momentum and mass?

a. direct
b. inverses
c. logarithmic
d. quadratic

Answers

Answer:

A. Direct

Explanation:

Thats just how it be

Answer:

Direct

Explanation:

EDGE 2020

A 400 N force accelerates an object at 2 m/s2. What is the mass of the object?
( accidentally clicked ) , might not be the answer prolly could

Answers

Answer:

m = 200 [kg]

Explanation:

To solve this problem we must use Newton's second law, which states that the sum of forces must be equal to the product of mass by acceleration.

ΣF = m*a

where:

F = force = 400 [N]

m = mass [kg]

a = acceleration = 2 [m/s^2]

400 = m*2

m = 400/2

m = 200 [kg]

Who is credited with discovering the atomic nucleus.

Answers

Answer: Ernest Rutherford's

how to calculate load​

Answers

Add together the wattage capacity of all general lighting branch circuits.
Add in the wattage rating of all plug-in outlet circuits.
Add in the wattage rating of all permanent appliances (ranges, dryers, water heaters, etc.)
Subtract 10,000.
Multiply this number by .40
Add 10,000.
Look for the full wattage rating of permanent air conditioners, and the wattage rating heating appliances (furnace plus space heaters), then add in whichever is the larger of these two numbers. (You don't heat and cool at the same time, so don't need to add both numbers.)
Divide the total by 240.

the answer should give you the suggested amperage needed to power a home adequately.

Where is the lightning rod attached to protect the building from lightning?
(a) On the top of the building
(b) On the bottom of the building
(c) In the middle of the building
(d) All of these

Answers

Answer:

On the top of the building

Explanation:

This lightning rod is called earthing This protects the building from thunder .As it accepts the lightning first and sends it down the ground

1.2 m long spring with a spring force of 200.0 N/m, 12.0 kg mass is attached to it, find the length
of the spring after extension after the mass is attached.
(hint: F = -6X)
(1 Point)
A) 1.232 m
B) O 1.788 m
C) 02.112 m
D) 2.788 m

Answers

Answer: 1.232

Explanation:I remember having this as a hw and this was the answer correct me if I was wrong

From Hooke's law, the length of the spring after extension and after the mass is attached is 1.788 meters. Option B is the answer.

HOOKE'S LAW

Hooke's law state that in an elastic material, the force applied is directly proportional to the extension provided that the elastic limit is not exceeded.

Given that a 12.0 kg mass is attached to 1.2 m long spring with a spring constant of 200.0 N/m.

The given parameters are:

mass m = 12kgInitial length [tex]L_{1}[/tex] = 1.2 mSpring constant K = 200 N/mExtension e = ?

According to Hooke's law

F = Ke

But F = mg

mg = Ke

Substitute all the parameters into the formula to get extension e

12 x 9.8 = 200e

e = 117.6 / 200

e = 0.588 m

The length of the spring after extension and after the mass is attached will be

[tex]L_{2}[/tex] = [tex]L_{1}[/tex] + e

[tex]L_{2}[/tex] = 1.2 + 0.588

[tex]L_{2}[/tex] = 1.788 m

Therefore, the correct answer is option B because the length of the spring after extension and after the mass is attached is 1.788 meters.

Learn more about Hooke's law here: https://brainly.com/question/12253978

The transit method of planet detection works best for.

Answers

Answer:

big planets in edge-on orbits around small stars.

Explanation:

Big planets in edge-on orbits around small stars.

Have a nice day <3

What is the purpose of the cytoplasm

Answers

Answer:

:)

Explanation:

The cytoplasm provides a medium for the organelles to remain suspended. The cytoplasm acts as a buffer and protects the genetic material of the cell and also the cellular organelles from damage caused due to movement and collision with other cells. Cellular respiration begins in the cytoplasm with glycolysis

A sport car starts from rest with an acceleration of 12 m/s2 . Calculate its final velocity after 7 s.

Answers

Answer:

Final velocity= 84 m/s

Explanation:

V final= V initial + a * t

Vf = 0+ 12 (7)

Vf= 84 m/s

Contrary to popular belief, a ski jumper does not achieve a large amount of "air" when doing a jump (less than 6 feet). This is because the ramp is almost horizontal while the landing is a steep hill. If a ski jumper leaves the hill at 26 m/s in the horizontal direction then travels 240 meters down the slope, what was the vertical distance (dy) that the ski jumper fell?

Answers

Answer:

The vertical distance that the ski jumper fell is 417.45 m.

Explanation:

Given;

initial horizontal velocity of the jumper, [tex]V_x[/tex] = 26 m/s

horizontal distance of the jumper, dx = 240 m

The time of the motion is given by;

dx = Vₓt

t = dx / Vₓ

t = 240 / 26

t = 9.23 s

The vertical distance traveled by the diver is given by;

[tex]d_y = V_yt + \frac{1}{2}gt^2[/tex]

initial vertical velocity, [tex]V_y[/tex], = 0

[tex]d_y = \frac{1}{2}gt^2\\\\d_y = \frac{1}{2}(9.8)(9.23)^2\\\\d_y = 417.45 \ m[/tex]

Therefore, the vertical distance that the ski jumper fell is 417.45 m.

Please Help I will Mark Brainiest!!!
The isotope of an atom containing 40 protons and 51 neutrons suddenly has two neutrons added to it.

What isotope is created?


Zirconium-53


Zirconium-93


Antimony-93


Antimony-53

Answers

Answer:

Hey, the answer is Zirconium-93

Explanation:

Im very positive about this question, so i hope I helped you ;p

Answer:

Zirconium-93

Explanation:

when we add up the 40 protons and 53 neutrons it gives 93 and a protons and neutron 93 gives a Zirconium-93

Thanks theres your answer

a rocket accelerates upwards from rest to a speed of 12km/s in 8 seconds calculate the acceleration

Answers

Answer: 1.5 km/s²

Explanation:

Given that,

Initial speed Vi = 0 km/s

Final speed Vf = 12km/s

Acceleration A = ?

Time taken T = 8 seconds

Recall that acceleration is the rate of change of velocity per unit time

i.e acceleration = (Vf - Vi)/T

A = (12km/s - 0km/s) / 8 seconds

A = 12km/s / 8 seconds

A = 1.5 km/s²

Thus, the acceleration of the rocket is 1.5 km/s²

Please mark Brainliest <3

A force of 10 N is applied perpendicular to the end of a bar of
length 0.2 m. Calculate the torque produced by the force.

Answers

The torque produced by the force is 2 Nm

Torque

This is the turning effect of a force.

The torque of a force is given by τ = Fd where

F = force applied and d = perpendicular distance of force from action point

Since τ = Fd,

F = force applied = 10 N and d = length of bar = 0.2 m

Substituting the values of the variables into the equation, we have

τ = Fd

τ = 10 N × 0.2 m

τ = 2 Nm

So, the torque produced by the force is 2 Nm

Learn more about torque here:

https://brainly.com/question/14839816

Saeed applied a force of 55 N to accelerate a 10 kg box at 3m/s2 along a horizontal surface. What is the magnitude of the frictional force?

1. 15N

2. 25N

3. 43N

4. 75N

5. 35N

Answers

the answer is 25N if u calculate it right the answer will be 25

The magnitude of the frictional force on the box is 25 N.

What is meant by frictional force ?

Frictional force is defined as the opposing force that resists the relative motion between surfaces.

Here,

Mass of the box, m = 10 kg

Force applied on the box, F = 55 N

Acceleration of the box, a = 3 m/s²

The frictional force, f opposes the applied force, F. So that the applied force must over come the frictional force in order to accelerate the box.

So,

F - f = ma

Frictional force, f = F - ma

f = 55 - (10 x 3)

f = 55 - 30

f = 25 N

Hence,

The magnitude of the frictional force on the box is 25 N.

To learn more about frictional force, click:

https://brainly.com/question/14662717

#SPJ2

Is it possible to apply the laws of Newton's dynamic to the motorcycle of the moon and the earth?

Answers

Answer:

Yes, it is possible

Explanation:

If possible, since Newton's laws are based on the motion of bodies that have mass. An example of how a vehicle can be moved on the moon was seen during lunar exploration where American astronauts drove a buggy-cart on the moon for a period of time.

We must remember that Newton's Second Law tells us that force is equal to the product of mass by acceleration. In this way we have:

F = m*a

where:

F = force = [N]

m = mass [kg]

a = acceleration [m/s²]

The force is produced by internal combustion or by electric action of the vehicle engine, the mass is the mass of the vehicle plus that of the crew member and the acceleration is the one that develops due to the change of speed, from rest to a certain speed.

16. Why does the spoon handle look broken where it enters the surface of the water?

A. The water magnifies the spoon

B. The water reflects the light differently

C. Light waves are refracted and speed up when they pass through the water

D. Light waves are refracted and slow down when they pass through the
water

Answers

Answer:

D.

Explanation:

What will happen if the bar magnet remains stationary and the coil of wire is moved back and forth within the magnetic field?
(1 point)

Answers

The current will be induced

Other Questions
find the x-intercept y=(x-2)/(3x-1) What is a theme of the story "An Hour with Abuelo"?There is nothing to lose by showing kindness.Memories of family members should be cherished above all else.One can learn valuable lessons from the experiences of others.It can be helpful to leave the past behind. Who was the British commander whose arrogance cost them a number of soldiers early in the conflict? Revolutionary war What is the resultant of 5N force pointing north and 7N force pointing south? Do not forget include direction Which stage is the last stage of speciation? question 5 options: the populations become adapted to different environments and eventually become so different that they cannot interbreed to produce fertile offspring. The populations successfully interbreed. The populations become totally separated from one another. The populations are isolated and thus do not interbreed PLS HELP ME !Draw out a two column proof for each problem below.Make sure to start with your given statement and write out each statement and reason. 40x - 20x - 20(blank-blank) What is the simplified form of this expression?18 6 + 8 7 12 + 8 2A 62B 63C 81D 146 help asap im being timed What gift did Dionysos give to Midas? What is 70 percent of 20? [tex]hello \: [/tex][tex]good \: evening[/tex][tex]what \: is \: acceleration[/tex]Have a great day. NEED HELP ASAP!!!!!! Jose invested $8,000 in an account paying an interest rate of 7 3 8 7 8 3 % compounded daily. Adam invested $8,000 in an account paying an interest rate of 7 7 8 7 8 7 % compounded annually. To the nearest dollar, how much money would Jose have in his account when Adam's money has tripled in value? One bottle of lemonade contains 8 squeezes of lemon. How many squeezes of lemon would of a bottle of lemonade need? How do Percys experiences in chapter 7 align with the heros journey? After reading the excerpt from chapter 7 of The Lightning Thief and The Heros Journey, write a constructed response that begins with a short summary of chapter 7. Then focus on one experience in The Lightning Thief and show how Percys experience aligns to a stage described in The Heros Journey. Conclude by describing what we can learn about Percy as a hero from his response to a challenge he faces. Use evidence from both texts to support your response. Dear Lieutenant Major Reginald Brighton, Paragraph 1: Explain what the Articles of Confederation are and what powers Congress has: The Goodyear blimp flies 153 miles with a tailwind (with the wind) in the same time it travels 57 miles with a headwind (against the wind). If the speed of the wind is 16 mph, what is the speed of the blimp in still air? Drugs that have the same mechanism of action are said to belong to the same How can you make a chemical change to paper Problem 8-21 (Algorithmic)Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:Rental ClassRoom Super Saver Deluxe BusinessType I $38 $43 Type II $16 $28 $45Type I rooms do not have wireless Internet access and are not available for the Business rental class.Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 Type II rooms.Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.