Answer:
200 m/s
Explanation:
Given that,
A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 60 mph.
We need to find the rate at which the plane is moving towards North. It can be given by :
\(V_x=v\cos\theta\)
Where
\(\theta\) is the angle with the North
\(V_x=200\times \cos(\dfrac{60}{200})\\\\=199.99\ m/s\\\\\approx 200\ m/s\)
Hence, the plane is moving at a rate of 200 m/s.
A cell membrane consists of an inner and outer wall separated by a distance of approximately 10 nm. Assume that the walls act like a parallel plate capacitor, each with a charge density of 10^(−5) C/m^2, and the outer wall is positively charged. Although unrealistic, assume that the space between cell walls is filled with air. What is the magnitude of the electric field between the membranes?ε0=8.85x10^(-12) C^2/(Nm^2)
Answer:
E = 1.29*10^6N/C
Explanation:
You take the cell membrane as a parallel plate capacitor. In order to calculate the magnitude of the electric field in between the membranes you use the following formula:
\(E=\frac{\sigma}{\epsilon_o}\) (1)
σ: surface charge density = 10^-5 C/m^2
εo: dielectric permittivity of vacuum = 8.85*10^-12C^2/Nm^2
You replace the values of the parameters in the equation (1):
\(E=\frac{10^{-5}C/Nm^2}{8.85*10^{-12}C^2/Nm^2}=1.29*10^6\frac{N}{C}\)
The magnitude of the electric field between the membrane cell is 1.29*10^6N/C
A bungie jumper of mass 50kg is attached to a bungie with a constant of 100Nm. The unstretched length of the bungie is 15m. What is the maxmimum velocity of the jumper
Answer:
v = 18.5 m /s
Explanation:
The velocity of the jumper will go on increasing until his weight is more than the restoring force created in the bungle.
mg = kx
50 x 9.8 = 100 X
X = 4.9 m
Total fall = 15 + 4.9 = 19.9 m
kinetic energy gained due to fall by 19.9 m
= mgh = 50 x 9.8 x 19.9 = 9751 J
energy lost due to stored elastic energy in bungie
= 1/2 k x²
= .5 x 100 x 4.9²
= 1200.5 J
Remaining kinetic energy = 9751 - 1200.5 = 8550.5 J
1/2 m v² = 8550.5
.5 x 50 x v² = 8550.5
v² = 342
v = 18.5 m /s
A girl dribbling a basketball is running a court that is 100 m in length. It takes her 4.2 seconds to reach the end of the court. Calculate the girl's average speed during this trip.
Divide the distance traveled by the time it took:
(100 m) / (4.2 s) ≈ 23.8 m/s
A particle move in the xy plane so that its position vector r=bcosQi +bsinQj+ ctk, where b, Q and c are constants. show that the partial move with constant speed.
Answer:
The speed of this particle is constantly \(c\).
Explanation:
Position vector of this particle at time \(t\):
\(\displaystyle \mathbf{r}(t) = b\, \cos(Q)\, \mathbf{i} + b\, \sin(Q) \, \mathbf{j} + c\, t\, \mathbf{k}\).
Write \(\mathbf{r}(t)\) as a column vector to distinguish between the components:
\(\mathbf{r}(t) = \begin{bmatrix}b\, \cos(Q) \\ b\, \sin(Q) \\ c\, t\end{bmatrix}\).
Both \(b\) and \(Q\) are constants. Therefore, \(b\, \cos(Q)\) and \(b \sin (Q)\) would also be constants with respect to \(t\). Hence, \(\displaystyle \frac{d}{dt}[b\, \cos(Q)] = 0\) and \(\displaystyle \frac{d}{dt}[b\, \sin(Q)] = 0\).
Differentiate \(\mathbf{r}(t)\) (component-wise) with respect to time \(t\) to find the velocity vector of this particle at time \(t\!\):
\(\begin{aligned}\mathbf{v}(t) &= \frac{\rm d}{{\rm d} t} [\mathbf{r}(t)] \\ &=\frac{\rm d}{{\rm d} t} \left(\begin{bmatrix}b\, \cos(Q) \\ b\, \sin(Q) \\ c\, t\end{bmatrix}\right) \\ &= \begin{bmatrix}\displaystyle \frac{d}{dt}[b\, \cos(Q)] \\[0.5em] \displaystyle \frac{d}{dt}[b\, \sin(Q)]\\[0.5em]\displaystyle \frac{d}{dt}[c \cdot t]\end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ c\end{bmatrix}\end{aligned}\).
The speed \(v\) (a scalar) of a particle is the magnitude of its velocity :
\(\begin{aligned}v(t) &= \| \mathbf{v}(t) \| \\ &= \left\|\begin{bmatrix}0 \\ 0 \\ c\end{bmatrix}\right\| \\ &= \sqrt{0^2 + 0^2 + c^2} = c\end{aligned}\).
Therefore, the speed of this particle is constantly \(c\) (a constant.)
A trash compactor can compress its contents to 0.350 times their original volume and 4 times denser than their original density. Neglecting the mass of air expelled, what factor is the old density of the rubbish
Answer:
2.8
Explanation:
Using p = m/v; (old density)
p' = m/v (new density)
=m/0.350 V
p'/p = (m/0.350V)/(m/v) = 1/0.350 = 2.86
Consider a regular solution, for which energy
w =5 kJ/mol
At what temperature, in K, will a miscibility limit emerge?
At room temperature,300 K, will a miscibility limit emerge. At the temperature less than, the miscibility will fall below 1%.
What is temperature?Temperature directs the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles, more the temperature.
Hence, at room temperature,300 K, will a miscibility limit emerge. At the temperature less than, the miscibility will fall below 1%.
To learn more about the temperature, refer to the link;
brainly.com/question/7510619
#SPJ1
If the participants have been reassigned, what type of variable would each have been??
If the participants hadn't been reassigned, age would have been a confounding variable. Option D
What are confounding variables?A confounding variable is a variable that is associated with both the independent variable and the dependent variable.
In this case, age is associated with both video game playing and mood. Younger people are more likely to play video games, and they are also more likely to have better moods.
If the participants hadn't been reassigned, the difference in mood between the experimental and control groups could have been due to the difference in age, not the difference in video game playing.
Find more exercises on confounding variable;
https://brainly.com/question/29419015
#SPJ1
in coming to a stop, an old truck leaves skid marks 45 m long on the highway. assuming a deceleration of 6m/s2 , estimate the speed of the truck just before braking.
The speed of the truck just before braking is 23.24 m/s.
What is the speed of the clock before braking?
The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.
v² = u² - 2as
where;
v is the final velocity of the truck when it stopsa is the acceleration of the trucks is the distance travelled by the truckWhen the truck stops, the final velocity = 0
0 = u² - 2as
u² = 2as
u = √2as
u = √ ( 2 x 6 x 45 )
u = 23.24 m/s
Learn more about initial speed here: https://brainly.com/question/24493758
#SPJ1
Which bibliographic description for a book is correct, based on the Harvard Method in your study guide?
An annotated bibliography is a list of citations to books, articles, and documents. Each citation is followed by a brief descriptive and evaluative paragraph, the annotation. The purpose of the annotation is to inform the reader of the relevance, accuracy, and quality of the sources cited.
The cue column is typically located on the left-hand side of the page and is used to jot down keywords or questions that serve as cues for recalling the main points of the lecture or reading. The note-taking area is located on the right-hand side of the page and is used to write down detailed notes about the lecture or reading.
The summary section is located at the bottom of the page and is used to summarize the key points of the notes. Overall, the Cornell method is an effective way to organize and retain information during lectures and readings.
Learn more about bibliography on:
https://brainly.com/question/1041590
#SPJ1
In the diagram, the distance OP is the focal length of the converging lens. One ray of light from O
is shown.
Through which point will this ray pass, after refraction by the lens?
The point through which this ray will pass, after refraction by the lens is point D.
What is refraction of light?The refraction of light refers to the bending or change in direction that occurs when light passes from one medium to another. It is a phenomenon that happens due to the difference in the speed of light in different substances.
From the ray diagram given, after the light incident from point O, it will pass the converging at point D which is the focal length of the lens after refraction.
Thus, based on the converging lens given in the ray diagram, we can conclude that, the point through which this ray will pass, after refraction by the lens is point D.
So point D is the correct answer.
Learn more about refraction here: https://brainly.com/question/1360744
#SPJ1
Franklin is observing an object that is taking in energy at the same rate it is giving energy off.
What is true about this object?
If an object is taking in energy at the same rate it is giving energy off, it implies that the object is in a state of energy equilibrium or balance.
What is true about this object?In other words, the amount of energy it absorbs or receives is equal to the amount of energy it emits or gives off. This suggests that the object is neither gaining nor losing energy over time.
Based on this information, it can be inferred that the object is in a stable condition regarding its energy exchange. It is maintaining a steady state without any net gain or loss of energy. This state of equilibrium could be due to various factors such as the object being in thermal equilibrium with its surroundings or being subject to a balanced energy input and output mechanism.
Read more on energy here https://brainly.com/question/13881533
#SPJ1
What is the real reason the skies blue
Answer:
Rayleigh scattering
Explanation:
The blue color of the sky is due to a phenomenon called Rayleigh scattering. When sunlight enters the Earth's atmosphere, the shorter blue wavelengths of light are scattered more than the other colors by the tiny molecules of nitrogen and oxygen in the air. This causes the blue light to be redirected in many different directions, making the sky appear blue to our eyes. The other colors of light are scattered as well, but to a lesser extent, which is why the sky appears blue instead of a mixture of all colors. This effect is also the reason why the sun appears more yellow, orange or red during sunrise or sunset, when its light has to travel through more of the Earth's atmosphere before reaching our eyes, causing the shorter blue wavelengths to be scattered even more, leaving behind the longer wavelengths of light.
Changes of
Which now represents the change of state described
above?
M
ham shows changes of state between solid.
se atoms of a substance lase energy
Bacharest Betore the change, the atoms
ether but are able to slide past one another
Answer:b yuh
Explanation:
Yuh
I have multiple voltage sources of different rating like 5V,6V,1V and 20V draw schematic diagram using these sources to power a light of rating 11 volt
Answer:
add molecules
A solid of mass 450 kg has a volume
of 250 cm3. Calculate the relative
density of the solid. [Density of water
loo kg m-3]
Answer:
0.0018
Explanation:
Given that,
Mass of a solid, m = 450 kg
Volume, V = 250 cm³ = 0.00025 m³
The density of solid is given by :
Density = mass/volume
So,
\(d=\dfrac{450}{250}\\\\d=1.8\ kg/cm^3\)
The density of water is 1000 kg/cm³.
Relative density = density of solid/density of water
\(d=\dfrac{1.8}{1000}\\\\=0.0018\)
So, the relative density of the solid is 0.0018 .
Help with Part 1 and 2
I want to check my work and graph
The point t = 0 to t = 8 depict the acceleration of the object.
What is acceleration?Acceleration is a measure of the change in velocity of an object over time. It is a vector quantity that describes the rate at which an object changes its speed or direction of motion. Acceleration is calculated as the rate of change of velocity, and is expressed in units of meters per second squared (m/s²).
We can see from the graph that between t = 0 and t =8 was the time that the object underwent acceleration.
Learn more about acceleration:https://brainly.com/question/12550364
#SPJ1
The vertical displacement of the wave is measured from the what? And what is the term for vertical displacement?
Explanation:
The vertical displacement of the wave is measured from the
equilibrium to the crest and is called the frequency.
crest to the trough and is called the amplitude.
trough to the trough and is called the wavelength.
equilibrium to the crest and is called the amplitude.
HØPÊ ĮŤ ÌŠ helpful
mark mE aS bRillAnT ♠A 2 kg object traveling at 5 m s on a frictionless horizontal surface collides head-on with and sticks to a 3 kg object initially at rest. Which of the following correctly identifies the change in total kinetic energy and the resulting speed of the objects after the collision? Kinetic Energy Speed
(A) Increases 2 m/s 3.2 m/s
(B) Increases Soold 2 m/s
(C) Decreases 3.2 m/s
(D) Decreases
Answer: (d)
Explanation:
Given
Mass of object \(m=2\ kg\)
Speed of object \(u=5\ m/s\)
Mass of object at rest \(M=3\ kg\)
Suppose after collision, speed is v
conserving momentum
\(\Rightarrow mu+0=(m+M)v\\\\\Rightarrow v=\dfrac{2\times 5}{2+3}\\\\\Rightarrow v=2\ m/s\)
Initial kinetic energy
\(k_1=\dfrac{1}{2}\times 2\times 5^2\\\\k_1=25\ J\)
Final kinetic energy
\(k_2=\dfrac{1}{2}\times (2+3)\times 2^2\\\\k_2=10\ J\)
So, it is clear there is decrease in kinetic energy . Thus, energy decreases and velocity becomes 2 m/s.
A baseball is thrown horizontally from a cliff at 30 m/s and lands 7 seconds after the baseball was thrown. Calculate the horizontal AND vertical distance.
Answer:
The horizontal and vertical distances are x = 210 m and y = -240.35 m, respectively.
Explanation:
Using the equation of the displacement in the x-direction, we have:
(let's recall we have a constant velocity in this direction)
\(x=v_{ix}t\)
Where:
v(ix) is the initil velocity in the x direction (v(ix) = 30 m/s)t is the time (t = 7 s)\(x=30(7)\)
\(x=210\: m\)
Now, we need to use the equation of the displacement in the y-direction to find the vertical distance. Here we have an acceleration (g)
\(y=v_{iy}t-\frac{1}{2}gt^2\)
Where:
v(iy) is the initial velocity at the y-direction. In this case, it will be 0t is the timeg is the acceleration of gravity (g=9.81 m/s²)Then, the vertical position at 7 s is:
\(y=-\frac{1}{2}(9.81)(7)^2\)
\(y=-240.35\: m\)
Therefore, the horizontal and vertical distances are x = 210 m and y = -240.35 m, respectively. The minus sign means the negative value in the y-direction.
I hope it helps you!
Let's say you had a pulley system with a mechanical
advantage of 3. If you want to lift a boulder 10 meters off
the ground, how far would you have to pull the rope?
A) 3 meters
B) 10 meters
C) 30 meters
D) 300 meters
Complete the following statement: A collision is elastic if
Complete the following statement: A collision is elastic if...
...the total kinetic energy of the system is conserved before and after the collision, and there is no net loss of energy due to deformation or other non-conservative forces. In an elastic collision, the objects involved bounce off each other without any permanent deformation or generation of heat.
For more such questions on collision
https://brainly.com/question/7221794
#SPJ11
what is one reason that john adams and benjamin franklin believed the articles of confederation should be revised.
Answer:
Explanation:
Their most intimate experience probably happened during an unsuccessful peace mission in September 1776. The British forces had recently raced across Long Island (New York) and almost destroyed the American Army. The British commander, Adm. Lord Richard Howe, then offered peace. Congress sent Adams, Franklin, and Edward Rutledge (South Carolina) to meet Howe on Staten Island.
Howe hoped to resolve the differences between what Great Britain still considered its colonies and the mother country. The Americans insisted on British recognition of independence, but Howe had no such authority, and Adams and Franklin had little of their own. Although cordial, the meeting broke up without success after just three hours.
During the mission, Adams and Franklin lodged together at crowded inn in a small room with only one window. Adams records an unforgettable and amusing story in his diary about that evening and hearing Franklin’s theory of colds.
To calculate the density of an object, its mass is ________ its volume.
A
added to
B
divided by
C
multiplied by
D
subtracted by
Choose all options that apply. Which of the following are equal to 20%? | a) .25 b) 1/5 Oc) 1/10 d) .20
Answer:
B) 1/5 and D) 0.20
Explanation:
20% in calculating is 0.2. Anything that equals 0.2 is equal to 20% in your calculator.
A is already a decimal so theres no need to calculate. Sure it has 0.2 but it also has a 5. (0.25) which would equal 25%. Not 20%.
C is not a decimal, so you'll have to calculate. (the symbol "/" means ÷ or divide.) So just divide 1 ÷ 10. It's 0.1 or 10%. it isnt 0.2 so that is also incorrect.
B is the same as C. just divide and calculate. 1 ÷ 5 = 0.2 (20%) Which is 20% So B is correct.
D. Yes it has a 0.2 but also a 0. But always remember. If there is no 0 in front of the number, OR if there is no number BEHIND the 0, it's invisible. For example: 0.10000000000000000000000000 is basically 0.1 because its behind. now if it was 0.01000 just 0.01 and if it was 0.0123 it would be 0.0123. because of those digits.
Hope this helps
~R3VO
Explain the light detection technique of photovoltaic detection
Answer:
Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.
The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.
The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.
Learn more about Photovoltaic detection
for two shells fired at the same speed which statement about the horizontal distance traveled is correct
The statement A: "The shell fired at an angle closest to 45 degrees lands farther away" is correct.
A shell fired at an angle closest to 45 degrees will travel the farthest horizontal distance compared to a shell fired at a different angle. This is because the shell fired at 45 degrees will have a greater horizontal component to its velocity, allowing it to travel farther horizontally.
At an angle closest to 90 degrees, the shell will have a very small horizontal component to its velocity, resulting in a smaller horizontal distance traveled. The trajectory of a shell fired at an angle depends on the speed and angle of launch, as well as the forces acting upon it such as air resistance.
"
Complete question
for two shells fired at the same speed which statement about the horizontal distance traveled is correct
A: The shell fired at an angle closest to 45 degrees lands farther away
B: The shell fired at an angle closest to 90 degrees lands farther away
"
You can learn more about shell firing at
https://brainly.com/question/16986007
#SPJ4
A car is traveling at a constant speed on the highway. Its tires have a diameter of 68.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 55.0 rad/s , what is the speed of the car?
Answer:
37.4m/s
Explanation:
since the car doesn't accelerate, we can use the formula v=ωr where v is linear speed, ω is angular speed (rads/second) and r is radius. Substitute values for equation:
v=55*0.68
v=37.40
An object floats with half its volume beneath the surface of the water. The volume of the object is 3.5 m. What is the weight of the object? The density of water is 1000 kg/m3
Answer:
Since the object is floating, the buoyant force equals the weight of the water displaced:
W = d g v where d is the density of water and v = V/2 where v is the volume of the water displaced and v = V/2 where V is the volume of the object.
W = 1000 kg/m^3 * 9.8 m/s^2 * (3.5 /2 m^3)
W = 17150 kg m / s^2 = 17150 N
When an object floats with half its volume beneath the surface of the water. If the volume of the object is 3.5 m,then the weight of the object would be 17167.5 N if the density of water is 1000 kg/m3
What is density?It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.
The density is the reciprocal of the specific volume of any substance.
The mathematical formula for density is given below
ρ =m /V
where ρ is the density of the substance
m is the mass of the substance
V is the volume of the substance
As given in the problem an object floats with half its volume beneath the surface of the water. The volume of the object is 3.5 m
The density of water is 1000 kg/m3
According to the Archimedes principle, the buoyancy force acting on the floating object is equal to the weight of the fluid displaced by it
W = ρ g V
Given the object floats with half its volume beneath the surface of the water means the volume of the water displaced is half of the volume of the object
V=3.5/2 m³
W = 1000×9.81×3.5/2
= 17167.5 N
Thus, the weight of the object is 17167.5 N
Learn more about density from here
brainly.com/question/15164682
#SPJ2
Four capacitors with capacitance 3.0 pF, 2.0 pF, 5.0 pF and X pF are connected in series to each other. If the equivalent capacitance of the circuit is 0.83 pF, what is the value of the X capacitor? (A). 6.0 pF (B). 5.0 pF (C). 3.0 pF (D). 2.0 pF (E). 0.83 pF
Answer:
A. 6pFExplanation:
If unknown capacitance C1, C2, C3 and C4 are connected in series to one another, their equivalent capacitance of the circuit will be expressed as shown
\(\frac{1}{C_t} = \frac{1}{C_1} +\frac{1}{C_2} +\frac{1}{C_3} +\frac{1}{C_4} \\\)
Given the capacitance's 3.0 pF, 2.0 pF, 5.0 pF and X pF connected in series to each other. If the equivalent capacitance of the circuit is 0.83 pF, then to get X, we will apply the formula above;
\(\frac{1}{0.83} = \frac{1}{3.0} +\frac{1}{2.0} +\frac{1}{5.0} +\frac{1}{C_4} \\\\\\1.205 = 0.333+0.5+0.2+\frac{1}{C_4} \\\\1.205 = 1.033 + \frac{1}{C_4} \\\\\frac{1}{C_4} = 1.205-1.033\\\\\frac{1}{C_4} = 0.172\\\\C_4 = \frac{1}{0.172}\\ \\C_4 = 5.8pF\\\\\)
C₄ ≈ 6pF
Hence the value of the X capacitor is approximately 6pF
Mr. Bateman creates a standing wave in the front of the classroom with the spring. S nodes form. The distance from Mr. Bateman to the cabinet is 6m. If a student times the spring moving back and forth and gets 0.2s for one cycle of the spring, how fast are the
waves moving?
Answer:
The speed of a wave is equal to the wavelength divided by the period. The wavelength is the distance between two consecutive nodes, and the period is the time it takes for one complete cycle of the wave.
In this case, the wavelength is 6 m and the period is 0.2 s. Therefore, the speed of the wave is 30 m/s.
The answer is 30 m/s.
Explanation: