Answer:
The time taken for the sound wave to make the round trip is 0.16 s.
Explanation:
Given;
distance traveled by the sound wave, d = 120 m
bulk modulus of sea water, B = 2.3 x 10⁹ N/m²
density of sea water, ρ = 1022 kg
The speed of the wave is given by;
[tex]v = \sqrt{\frac{B}{\rho} } \\\\v = \sqrt{\frac{2.3*10^9}{1022} }\\\\v = 1500.16 \ m/s[/tex]
Speed is given by;
[tex]Speed = \frac{Distance}{Time}[/tex]
total distance of the round trip = 2 x 120m = 240 m
Time taken for the sound wave to make the round trip is given by;
[tex]Time = \frac{Distance}{Speed} \\\\Time = \frac{240}{1500.16} \\\\Time = 0.16 \ second[/tex]
Therefore, the time taken for the sound wave to make the round trip is 0.16 s.
If a · b = 20, a = 4, and the angle between the vectors a and b is 30°, what is the magnitude of vector b? Incorrect: Your answer is incorrect.
Answer:
The magnitude of [tex]\vec b[/tex] is approximately 5.774.
Explanation:
According to the definition of dot product:
[tex]\vec a\bullet \vec b = \|\vec a \|\cdot \|\vec b\|\cdot \cos \theta[/tex]
Where:
[tex]\|\vec a\|[/tex], [tex]\|\vec b\|[/tex] - Norms (or magnitudes) of [tex]\vec a[/tex] and [tex]\vec b[/tex], dimensionless.
[tex]\theta[/tex] - Internal angle between [tex]\vec a[/tex] and [tex]\vec b[/tex], measured in sexagesimal degrees.
The magnitude of [tex]\vec b[/tex] is therefore cleared:
[tex]\|\vec b\| = \frac{\vec a \bullet \vec b}{\|\vec a\|\cdot \cos \theta}[/tex]
Given that [tex]\vec a \bullet \vec b = 20[/tex], [tex]\|\vec a\| = 4[/tex] and [tex]\theta = 30^{\circ}[/tex], the magnitude of [tex]\vec b[/tex] is:
[tex]\|\vec b\| = \frac{20}{4\cdot \cos 30^{\circ}}[/tex]
[tex]\|\vec b\| \approx 5.774[/tex]
The magnitude of [tex]\vec b[/tex] is approximately 5.774.
What is the momentum of a 950kg car moving at 10.0m/s
Explanation:
Momentum = mass × velocity
p = mv
p = (950 kg) (10.0 m/s)
p = 9500 kgm/s
Buildings are more dense than the surrounding air. This means that they have more _____ per volume than the air and will stay on the ground instead of floating up into the atmosphere.
Answer:
mass
Explanation:
Density is the measure of how much mass of a substance is squeezed into a given volume of that substance. It is the mass per unit volume, and substances with lesser density will float in materials with denser density. Buildings are generally more obviously denser that air, if not we'll see then float upwards into the atmosphere, but that is not the case. Different liquids too can separate and form layers on one another due to their differences in volume.
As a 1850 kg car is traveling down a road, it experiences a force of friction of 121 N and a force of air resistance if 186N. If the engine is not applying any force, what is the acceleration of the car
Answer:
-0.166 m/s²
Explanation:
F = Ma
a = F/M = (121 N +186 N)/(1850 kg) = 0.166 m/s²
The acceleration of 0.166 m/s² is in the direction opposite to the direction of travel, so might be considered to be negative.
Answer:
-0.166 m/s²
As a 1850 kg car is traveling down a road, it experiences a force of friction of 121 N and a force of air resistance if 186N. If the engine is not applying any force, what is the acceleration of the car
Two students make a model of a tree house they want to
The scale is 1:44. In the scale model, the tree house
has 2 windows.
How many windows should the real tree house have?
O A. 2
O B. 22
C. 4
D. 88
Answer:
A 2
Explanation:
Scaling deals with measurements.
for example, the question says, 1 : 44. Assuming we're using cm : m, this is inferring that, 1 centimeter on the model will represent 44 meters in real life. This means, the number of windows in the real tree will be carried down to the model, only the sizes would be reduced.
if a window in the real tree measures 44 meters, then it would be scaled down to be 1 centimeter on the model.
irrespective, models doesn't change the number of features, only the dimensions.
HELP PLEASE !!!!!!! If a ball is accelerating down through the air with no horizontal motion, what must be true about the net forces acting on the ball? The gravitational force is greater than the drag. The net force on the ball is zero. The drag is greater than the gravitational force. The net force on the ball is directed upward.
physics
Answer:
A. The gravitational force is greater than the drag.
Explanation:
Remember that the second Newton's law says that:
F = m*A
Force equals mass times acceleration.
With this we will see that the correct option is:
"The gravitational force is greater than the drag."
We know that the ball is accelerating downwards, and there is no horizontal motion. Because the acceleration is downwards, we know that the net force must be downwards (for the second law).
Now, what must be true about the net forces acting on the ball? let's analyze each statement:
1) "The gravitational force is greater than the drag."
The gravitational force is what causes the objects to fall down to the ground, so if the ball is falling, this will always be true.
2) " The net force on the ball is zero."
We know that the ball is accelerating, thus the net force can not be zero, this is false.
3) "The drag is greater than the gravitational force. "
This is the opposite to the first option, this is false.
4) "The net force on the ball is directed upward."
The acceleration and the net force have the same direction, if the ball is accelerating downwards, then the net force is directed downwards. This is false.
Then the only true statement is the first one:
"The gravitational force is greater than the drag."
If you want to learn more, you can read:
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An atom of sodium-23 (Na-23) has a net charge of +1. Identify the number of protons, neutrons, and electrons in the atom. Then, explain how you determined the number of each type of particle
Answer:
11 protons, 12 neutrons, 10 electrons
Explanation:
Sodium has an atomic number of 11, so it has 11 protons.
The atomic mass is 23, so there are 23 − 11 = 12 neutrons.
The charge is +1, so there is 1 more proton than electrons, so there are 10 electrons.
A woman dropped a dime in a wishing well , she heard it 30 sec later ..Find velocity on impact while moving at 9.8 m/s 2
Answer:
The velocity at impact is 222.2 m/s
Explanation:
The given information are;
The time at which the woman heard the sound of the coin after dropping it into the wishing well = 30 seconds
The average speed of sound in air = 344 m/s
The time in which the dime travel = t₁
The time in which the sound travel = t₂
1/2 × 9.8 × t₁² = 344 × t₂
t₁ + t₂ = 30
4.9·t₁² = 344 × (30 - t₁)
4.9·t₁² + 344·t₁ - 10320 = 0
Which gives -344±
[tex]t_1 = \dfrac{-344\pm \sqrt{344^{2}-4\times 4.9 \times 10320}}{2\times 4.9}[/tex]
t₁ = 22.676 seconds or -92.9 seconds
Therefore the correct natural time is t₁ = 22.676 seconds
The velocity at impact, v = g×t₁ = 9.8 × 22.676 = 222.2 m/s
The velocity at impact= 222.2 m/s.
Mention any three consequences of gravitational force.
It's Group C question so... :-!
Answer:
[tex] \boxed{ \bold{ \sf{see \: below}}}[/tex]
Explanation:
The force with which any two objects attract each other is called gravitational force. Any three consequences of gravitational force are given below :
The existence of the solar family and constellations.The revolution of planets around the sun.Formation of tides in the sea.Hope I helped!
Best regards!
The gravitational force keeps atmospheric gases available to all living beings, allows the moon to orbit around the earth and the earth to orbit around the sun (causing day and night), and keeps all living beings trapped in the surface of the planet.
Gravity is a fundamental element of nature and can be defined as follows:
It is the element responsible for defining the weight of a body or object.It is responsible for defining the vertical force.It is the force of attraction between two bodies.Through this, we can conclude that gravity is essential for life on the planet and for the functioning of the universe as a whole. This explains the importance of studying and understanding the gravitational force.
You can find more information about this at the link below:
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If a man travels from 0m to 5m then back to -3m, all in four seconds, what is the mans displacement?
Answer:
-3 m
Explanation:
Displacement is the final position minus the initial position.
Δx = x − x₀
Δx = -3 m − 0 m
Δx = -3 m
An internal combustion engine has an efficiency of 22.3%. This engine is used to deliver 6.25 x 104 J of work to drive the motion of the train. What is the total energy that needs to be put into the engine.
Answer:
Only about 12%–30% of the energy from the fuel you put in a conventional vehicle is used to move it down the road, depending on the drive cycle. The rest of the energy is lost to engine and driveline inefficiencies or used to power accessories. Therefore, the potential to improve fuel efficiency with advanced technologies is enormous.
The _______ is responsible for absorbing the most UV radiation.
a.
troposphere
b.
stratosphere
c.
mesosphere
d.
thermosphere
Please select the best answer from the choices provided
A
B
C
D
Answer:
The stratosphere is responsible for absorbing the most UV radiation.
Explanation:
Hope it will help you:)
The Stratosphere is responsible for absorbing the most UV radiation.
What is Stratosphere?The stratosphere is the second layer of the atmosphere as you go upward lying between the troposphere and the mesosphere.The external temperature of these planes decreases and then increases as they leave the stratosphere and return to the ground.This increase in temperature is a result of the ozone layer that is present in the stratosphere and absorbs the UV rays from the Sun, making an elevation in temperature. The stratosphere layer also called the ozonic atmospheric envelope, is important to human's life as it contains the ozone layer which absorbs the harmful ultraviolet radiations which emitted from the Sun and also it is convenient for flying of the planes .
Thus, the Stratosphere is responsible for absorbing the most UV radiation.
Hence, Option B is the correct answer.
Learn more about Stratosphere,
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An electric iron of resistance 20Ω takes a current of 5A. Calculate the heat developed in 30seconds?
The amount of heat (H) produced is given by the joule’s law of heating as H= Vlt
Where,
Current, I = 5 A
Time, t = 30 s
Voltage, V = Current x Resistance = 5 x 20 = 100V
H= 100 x 5 x 30 = 1.5 x 10⁴ J.
Therefore, the amount of heat developed in the electric iron is 1.5 x 10⁴J.
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4) A football player starts at the 40-yard line, and runs to the 25-yard line in 2 seconds.
a) What is their speed during that run?
b) What is their velocity?
I
c) If they kept running at that velocity for another 1.3 seconds, what would their
final position be?
Answer:
(a). Their speed during that run is 10 m/s.
(b). Their velocity is 6.86 m/s
(c). The final position is at 8.91 m.
Explanation:
Given that,
A football player starts at the 40-yard line, and runs to the 25-yard line in 2 seconds.
Suppose, the distance between 40 yard line and 25 yard line is 20 yard.
(a). We need to calculate their speed during that run
Using formula of speed
[tex]v=\dfrac{d}{t}[/tex]
Where. d = distance
t = time
Put the value into the formula
[tex]v=\dfrac{18.288}{2}[/tex]
[tex]v=10\ m/s[/tex]during that run
(b). We need to calculate their velocity
Using formula of speed
[tex]v=\dfrac{\Delta d}{\Delta t}[/tex]
Put the value into the formula
[tex]v=\dfrac{22.86-36.58}{2}[/tex]
[tex]v=-6.86\ m/s[/tex]
Negative sign shows the direction of motion.
(c). If they kept running at that velocity for another 1.3 seconds,
We need to calculate the final position
Using formula of position
[tex]d=vt[/tex]
Put the value into the formula
[tex]d=6.86\times1.3[/tex]
[tex]d=8.91\ m[/tex]
Hence, (a). Their speed during that run is 10 m/s.
(b). Their velocity is 6.86 m/s
(c). The final position is at 8.91 m.
Imagina que compras una placa rectangular de metal de 2mm de alto, 10mm de ancho x 50mm de largo, y una masa de 0.02kg. El vendedor te dice que es de oro, pero para ver si de verdad es de oro, lo verificas calculando la densidad de la placa. ¿Cuál es el valor de la densidad de la placa? ¿Es de oro la placa rectangular?
Answer:
Densidad de la placa = 20 g/cm³.
La placa no es de oro.
Explanation:
Para encontrar la densidad de la placa rectangular primero debemos hallar su volumen:
[tex] V = 2 mm*10 mm*50 mm = 1000 mm^{3}*\frac{1 cm^{3}}{(10 mm)^{3}} = 1 cm^{3} [/tex]
Ahora, encontremos al densidad de la placa:
[tex] d = \frac{m}{V} = \frac{20 g}{1 cm^{3}} = 20 g/cm^{3} [/tex]
Dado que la densidad del oro es 19.32 g/cm³ y que la densidad de la placa rectangular calculada es 20 g/cm³, podemos decir que dicha placa no es de oro.
Espero que te sea de utilidad!
A block of wood measures 12cm x 5cm x 10cm. Calculate the volume in (i) cm3 (ii) m3
Given:-
A block of wood measures 12cm x 5cm x 10cm.
To be calculated:-
Calculate the volume in (i) cm3 (ii) m3
Solution:-
Case 1 :
Volume of wood = 12cm x 5cm x 10cm
= 600 cm³
Case 2 :
12 cm = 12/100 = 0.12 m
5 cm = 5/100 = 0.05 m
10 cm = 10/100 = 0.01 m
Volume of wood = 0.12 × 0.05 × 0.01
= 0.00006 m³
convert 64,000 cm to m
Answer:
64,000 centimeters =640 meters
Answer:
640 metres
Explanation:
100 cm = 1 m
1 cm = 1/100 m
64000 cm = 64000 × 1/100 metres
= 640 metres.
HOPE IT HELPS ◉‿◉
Which sport requires participants to wear safety equipment during competition?
Answer:
Football
Explanation:
Answer:
Hockey
Explanation:
The answer is hockey because in order to play hockey you have to have a lot of safety equipment because people play hockey by being very close to one another. Also, getting hurt during playing hockey without proper equipment can cause many damages to your body.
Hope this helps! :D
A box 5cm long, 4cm wide and 6cm high would have what volume? Show your work
Explanation:
volume= length×width×height
5cm×4cm×6cm = 20×6= 120cm³A voltage source is connected across two 1 kohm resistors in parallel. The current flowing through the voltage source is measure by a current meter as 2 mA. What is the voltage across each resistor
Answer:
1 Volt
Explanation:
The resistors have resistance R = 1 kΩ each = 1 x 10^3 Ω each
The current through the voltage source I= 2 mA = 2 x 10^-3 A
The resistors are in parallel, son the total resistance will be
[tex]\frac{1}{R_{T}}[/tex] = [tex]\frac{1}{R_{1}} + \frac{1}{R_{2}}[/tex]
[tex]\frac{1}{R_{T}}[/tex] = 1/1 kΩ + 1/1 kΩ
[tex]\frac{1}{R_{T}}[/tex] = 2/1 kΩ
[tex]R_{T}[/tex] = 1 kΩ ÷ 2 = 0.5 kΩ = 500 Ω
From V = IR
where V is the voltage
I is the current
R is the resistance
substituting, we have
V = 500 x 2 x 10^-3 = 1 V This is the voltage across each resistor
Jaune moves North 15 meters, South 5 meters, then North 8 meters. How far is Jaune DISPLACED?
Answer:
Displacement = 7 meters
Explanation:
Given that,
Jaune moves North 15 meters, South 5 meters, then North 8 meters. We need to find the displacement of Jaune.
The attached figure shows the motion of Jaune.
We know that, Displacement = final position - initial position
Initially, Jaune traveled 15 meters due North and finally, he travel 8 meters North.
Displcement = 15 m - 8 m
Displacement = 7 m
So, the displacement of Jaune is 7 meters.
where would information on the chemical and physical properties of a specific chemical be located in a laboratory or in the workplace?
Answer:
Both
Explanation:
Two balls are released from the same height on the moon. They both reach the ground at the same time. Which statement is correct about the two balls
Answer:
same acceleration
Explanation:
A car traveling at 30 mis runs out of gas while traveling up a 10o slope. How far up the hill will the car coast before starting to roll back down
Answer:
5.21 milesExplanation:
The set up will be a right angle triangle (an inclined plane). The height of the inclined plane is the opposite side of the triangle while the distance traveled by the car along the slope will be the hypotenuse with angle of inclination of 10°.
Using the SOH trigonometry identity i.e sinθ = opposite/hypotenuse
sin 10° = opposite/30
opposite = 30sin10°
opposite = 5.21 miles
Hence the car must have traveled 5.21 miles up the hill before starting to roll back down.
You find a micrometer (a tool used to
measure objects to the nearest 0.001 mm) that has
been badly bent. How would it compare to a new,
high-quality meterstick in terms of its precision? Its
accuracy?
Explanation:
If the micrometer is still in the working condition, it will be hard for the observer to find its accuracy or precision, which could be matched with the meter stick. Its accuracy can be compromised in comparison with the undamaged micrometer, but it would be more chances of highly precise.
The error which is find in the damaged micrometer would be less than as compared to the width of the hash marks on the stick.
Answer:
The bent micrometer will be more precise but less accurate than the meterstick
Explanation:
HELP ME PLS!
Determine the presssure at the bottom of a container filled
with gasoline, if the height of the container is 200 cm long.
The gasoline's density is 680 kg/m3.
Explanation:
Pressure = Height * Density * acc. due to gravity
P = 2 * 680 * 9.8 = 13, 328 Pa
Answer:
13328pa
Explanation:
p = hgd
h = height = 200cm = 2m
g = 9.8m/s²
d = density = 680kg/m³
p = pressure
p = 2 x 9.8 x 680 = 13328pa
What is the purpose of a kink in a thermometer?
Answer:
A 'kink' in the glass tube which breaks the mercury as it contracts, storing the highest temperature reading. The glass tube is shaped like a lens to magnify the thin mercury thread. Shaking the thermometer resets the mercury back into the bulb.
Kink in the Mercury thermometer helps to prevents the falling of mercury present in capillary tube into bulb. It ensures that the user takes the correct reading of temperature. That's the reason a person before taking a new reading must give a sudden shake to the clinical thermometer so that the mercury level comes to normal .
What is the angular separation of two spectral lines of wavelengths 497 nm and 251 nm formed in the third order with a diffracting grating having 587 lines per millimeter
Answer:
34.8°
Explanation:
Given the following :
Number of lines (N) = 587mm
529mm to m = 587*1000 = 587000 per meter
d = 1 / N ; 1/587000 = 0.00000170357
Wavelength of light waves :
λ1 = 497nm = 497 × 10^-9 m
λ2 = 251nm = 251 × 10^-9 m
Angular position in 3rd order; m=3
For
λ1 ; dsinθ3 = 3λ1 ;
λ2 = dsinθ3 = 3λ2
Substituting values
dsinθ3 = 3λ1 =
0.00000189 * sinθ3 = 3 * 497 × 10^-9
θ3(1) = sin^-1(1491 * 10^-9 / 0.00000170357)
θ3(1) = sin^-1(0.8752208)
θ3(1) = 61.07°
λ2 = dsinθ3 = 3λ2
0.00000189 * sinθ3 = 3 * 251 × 10^-9
θ3(2) = sin^-1(753 * 10^-9 / 0.00000170357)
θ3(1) = sin^-1(0.4420129)
θ3(1) = 26.23°
Angular separation :
61.07° - 26.23° = 34.84°
34.8°
5. a) A boy used a catapult to pluck a mango from a tree. State two forces involved in this activity?
Explanation:
Tensional force and gravitational force
"the toy car is about 3 inches long"is an example of a ________ observation
It's a quantitative observation because it includes numerical data.