Use appropriate units and significant figures. USE THE LAW OF COSINES AND LAW OF SINES.
You are flying 75.0 mi/hr on a plane heading north with a wind blowing 15.0 mi/hr 46.0° East of North. What is the resultant velocity (your velocity relative to the ground)?
Answer:
The resultant velocity is 86.1 mi/h.
Explanation:
The law of cosines is given by:
[tex] c^{2} = a^{2} + b^{2} - 2abcos(\theta) [/tex]
Where:
c: is the resultant velocity =?
a: is the velocity of the plane = 75.0 mi/h
b: is the velocity of the wind = 15.0 mi/h
θ: is the angle between "a" and "b"
The angle between "a" and "b" can be found as follows:
[tex] \theta = 180.0 - 46.0 = 134.0 ^{\circ} [/tex]
Now, by using the law of cosines we have:
[tex] c^{2} = (75.0)^{2} + (15.0)^{2} - 2*75.0*15.0*cos(134.0) = 7413.0 [/tex]
[tex] c = 86.1 mi/h [/tex]
Therefore, the resultant velocity is 86.1 mi/h.
The law of sines is:
[tex] \frac{a}{sin(\gamma)} = \frac{b}{sin(\alpha)} = \frac{c}{sin(\theta)} [/tex]
Where:
γ: is the angle between "b" and "c"
α: is the angle between "a" and "c"
So, if we want to find "c" by using the law of sines, we need to know another angle besides θ (γ or α), and the statement does not give us.
I hope it helps you!
To 3 significant digits, what is the period of the pendulum using the equation for the period of a simple pendulum? Hint, the information you need is on the right side of the screen. The equation for the period of a pendulum is: T = 24 V
Answer:
1.42 seconds
Explanation:
T=2*pi*(sqrt length over gravity)
T=2*pi*(sqrt 0.5/9.8)
T=1.4189
Round to 3 significant digits
T=1.42 seconds
please help me!!!!!!!! it's due soon!!!!!!!!!!!!! NO LINK!!!!!!!!!
Which best describes the runners? Garreth and Elisa ran the same distance but not the same displacement, Luigi and Jasmine went the same displacement, and Logan ran faster than Jasmine. Garreth ran farther than Luigi, Elisa and Jasmine went the same distance, and Logan and Jasmine has the same displacement in the opposite direction. Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction. Garreth ran less than Logan, Elisa and Jasmine went the same displacement, and Luigi and Garreth ran together.
Answer:
The anwser is C, Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
Explanation:
i just took the test and got 100%
Answer:
C or Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
Explanation:
Humpty Dumpty (5 kg) is about to a bungee jump from a 50-meter high bridge. Feeling nervous, he paces back and forth with a velocity of 2 m/s. What is Humpty Dumpty's GRAVITATIONAL POTENTIAL ENERGY before jumping?
Answer:
E = 2450 J
Explanation:
Given that,
Mass of Humpty Dumpty, m = 5 kg
He jumps from a 50 m high bridge.
Feeling nervous, he paces back and forth with a velocity of 2 m/s.
We need to find Humpty Dumpty's gravitational potential energy before jumping. The formula is given by :
[tex]E=mgh\\\\E=5\times 9.8\times 50\\\\E=2450\ J[/tex]
So, the required gravitaional potential energy is 2450 J.
static_______
sliding______
rolling_______
fluid_________
Answer:
a car
A sled sliding across snow or ice.
a ball down a hill
mercury
Explanation:
2 kg
T2
5 kg
2.1.1 State Newton's Second Law of Motion in words.
.1.2 Draw a labelled free body diagram for the 2 kg mass.
1.3 Determine the magnitude of the tension force T2.
1.4 Calculate the magnitude of the normal force exerted on the 2 kg mass,
Answer:
2500 and kg its is very easy do with method
1.Una partícula de masa m = 0.2 [kg] está unido a dos resortes idénticos (de longitud L = 1.2 [m]) sobre la parte superior de una mesa horizontal sin fricción. Los dos resortes tienen la misma constante elástica de K = 40 [N/m] y cada uno esta inicialmente en su posición de equilibrio (punto O). Si la partícula se hala una distancia d = 0.5 [m] hacia la derecha y después se suelta (ver figura), ¿cuál es la velocidad cuando pasa por el punto O (posición de equilibrio)?
Answer:
walang kuwento
Explanation:
kasi ma answer ko
PLEASE HELP THIS IS IMPORTANT!
the more mass an object has the more damage it can cause. true or false?
Yes it's true
compare a falling feather vs a falling rock
Answer:
It's true. Mass is directly proportional to force so more mass means more force applied which causes more damage.
In which situation is there NO work being done?
Answer:
d
Explanation:
An echo returned in 3s. What is the distance of the reflecting surface from the source, given that the speed of sound is 342ms^-1
Answer:
d = 513 m
Explanation:
Given that,
An echo returned in 3s.
We need to find the distance of the reflecting surface from the source, given that the speed of sound is 342 m/s.
The sound will cover 2d distance. The formula for the speed is given by :
v = d/t
So,
[tex]v=\dfrac{2d}{t}\\\\d=\dfrac{vt}{2}\\\\d=\dfrac{342\times 3}{2}\\\\d=513\ m[/tex]
So, the required distance is 513 m.
Which physical property is defined as the amount of space that matter occupies?
Answer:
The matter has mass and takes up space. The amount of space that matter takes up is called its : density
Answer:
Mass
Explanation:
Mass is the amount of matter occupied by an object.
What 3 things can cause acceleration?
If the half life of a decaying isotope is 10 years, which statement is true after 8 years
Answer:
is suppoesd to say after 20 yrs
Explanation:
Xander reached a final velocity of 4.5 m/s for 3.5 seconds. Finley reached a final velocity of 3.6 m/s for 4.2 seconds. Max reached a final velocity of 7.3 m/s for 1.2 seconds. They all started at the same location from rest. Which lists them from least to most acceleration? Max Finley Xander Max Xander Finley Xander Finley Max Finley Xander Max
Answer:
Finley, Xander and Max
Explanation:
v = Final velocity
t = Time
u = Initial velocity = 0
a = Acceleration
From kinematic equations we get
[tex]v=u+at\\\Rightarrow a=\dfrac{v-u}{t}=\dfrac{v-0}{t}\\\Rightarrow a=\dfrac{v}{t}[/tex]
Xander
v = 4.5 m/s, t = 3.5 s
[tex]a=\dfrac{4.5}{3.5}\\\Rightarrow a=1.29\ \text{m/s}^2[/tex]
Finley
v = 3.6 m/s, t = 4.2 s
[tex]a=\dfrac{3.6}{4.2}\\\Rightarrow a=0.86\ \text{m/s}^2[/tex]
Max
v = 7.3 m/s, t = 1.2 s
[tex]a=\dfrac{7.3}{1.2}\\\Rightarrow a=6.083\ \text{m/s}^2[/tex]
The required list is Finley, Xander and Max.
Answer:
Finley, Xander and Max
Explanation:
A 1610 kg car is traveling east at 22. m/s and a 3100. kg minivan traveling west at a speed of 11.0 m/s
collide head on. Assuming a completely inelastic collision, what is the velocity in m/s of the “connected”
vehicle after the crash?
Answer:
Im pretty sure its 11 m/s east because it is 22 m/s hitting 11 m/s and the force is harder hitting
Explanation:
im not 100% sure becasue i did this stuff a while ago
The public is not yet able to purchase cars powered by hydrogen fuel cells because engineers have to determine how
the cars perform based on which scenario?
O on racetracks
O in real-world conditions
O in flooded environments
O on closed courses
Next
Submit
Save and Exit
return
Answer:
B on EDGE
Explanation:
A construction worker transfers 6000000 J in a n 8 hour day of work. What is their average power output? just need a quick answer with the working, thanks
Answer:
208.33 W
Explanation:
Using,
P = W/t.......................... Equation 1
P = Average power output, W = total work, t = total time.
From the question,
Given: W = 6000000 J, t = 8 hours = (8×60×60) = 28800 s
Substitute these values into equation 1
P = 6000000/28800
P = 208.33 W.
Hence the average power output is 208.33 W
Alfred is studying a substance that is made out of only one element. This means that
Answer: A pure substance is something that occurs in nature. An element is made up of one type of atom only and cannot be split further. A compound has the combined properties of the elements from which it is made. Atoms show the macro properties of an element.
Anything that is thrown or shot through the air is called a projectile. A baseball
player in the outfield throws a ball to home plate. What type of path does the projectile follow?
F. a straight line
G. a curved path upwards
H. a curved path downwards
J. a straight line downwards
Answer:
A curve path downwards
Explanation:
When the ball is thrown, it curves downwards because the earth's core is pulling it out of the sky, and alse becasue the earth is round.
Answer:
H. a curved path downwards
Explanation:
The tuning fork has a frequency of 426.7 is found to cause resonance in a closed column of air measuring 0.186 (the diameter of the tube is 0.015m) find the velocity of the sound produced by the tuning fork.
Answer:
The velocity of the tuning fork sound is 317.4648 m/s
Explanation:
The given parameters are;
The frequency of the fork, f = 426.7 Hz
The length of the closed air column, L = 0.186 m
The diameter of the tube, d = 0.15 m
At the fundamental frequency in a closed tube, we have;
λ = 4·L
Where;
λ = The wavelength of the wave
L = The length of the tube
From the equation for the velocity of a wave, we have;
v = f·λ
Where;
v = The velocity of the (sound) wave
f = The frequency of the wave = 426.7 Hz
λ = 4·L = 4 × 0.186 m = 0.744 m
∴ v = 426.7 Hz × 0.744 m = 317.4648 m/s
Therefore, the velocity of the sound produced by the tuning fork, v = 317.4648 m/s
PLEASE HELP !!! Which product forms from the synthesis reaction between potassium (k) and iodine (I)?
Answer:
Pottasium iodide (KI)
Explanation:
product of this reaction is KI. this product is an ionic compound.
in hydraulic pressure the area of the larger piston is half of the smaller piston.if the force of 4000N is applied on the smaller piston.what is the distance covered by the train ?
Answer:
The distance moved by the train is half the distance moved by the force
Explanation:
Given that the force applied to the smaller piston, F₂ = 4,000 N
The pressure in the area of the larger piston, A₁ = 2 × The pressure in the smaller piston, A₂
∴ A₁ = 2 × A₂
We have;
[tex]\dfrac{A_1}{A_2} = \dfrac{2\cdot A_2 }{A_2} =2 = \dfrac{F_1}{F_2}[/tex]
F₁ = 2·F₂ = 2 × 4,000 N = 8,000 N
F₁·d₁ = F₂·d₂
∴ 8,000 N ×d₁ = 4,000 N × d₂
d₁ = 1/2·d₂
∴ The distance moved by the train is half the distance moved by the force
What sport was invented by the English?
Answer:Cricket !
The origins of cricket are very vague, and many theories have been put forward suggesting its origins, but it is, without doubt, very English. The first evidence of cricket being played was recorded in the year 1550, by the pupils of Royal Grammar School, Guildford.
Hope this helps ! ✨Plants use sunlight to fuel photosynthesis (the process they use to produce their food). Which of the following is the best description of the energy transformation involved in this process?
Light Energy to Thermal Energy
Light Energy to Chemical Energy
Thermal Energy to Mechanical Energy
Thermal Energy to Chemical Energy
A silver tea spoon is placed in a cup filled with hot tea. After some time, the exposed end of the spoon becomes hot even without a
direct contact with the liquid. This phenomenon can be explained by:
Answer:
As atoms in the spoon vibrates about their equilibrium positions and transfer energy form one end to other end. This process is called conduction.
give the 7 color harmonies
Answer:
Complementary colors.
Split complementary colors.
Analogous colors.
Triadic harmonies.
Tetradic harmonies.
Monochromatic harmonies.
Please help me out someone?
A positive test charge is placed between an electron, e, and a proton, p, as
shown in the diagram below. When the test charge is released, it will move
toward
When test charge is released, the charge will move towards the electron placed at point D.
What is charge?The charge is the physical quantity that attracts or repels the other objects when comes into electric field.
The test charge is positive charge. The like charges repel each other and unlike charges attract each other.
So, when test charge is released, it gets attracted towards the opposite charge i.e. electron which is negatively charged.
Thus, the correct answer is D.
Learn more about charge.
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A small 10.0 g ball is held to a slingshot
that is stretched 6.0 cm. The spring
constant is 2.0 × 102 N/m.
a. What is the elastic potential energy
of the slingshot before it is
released?
Answer:
0.36 J
Explanation:
[tex]PE = \frac{1}{2} kx^{2} \\PE = \frac{1}{2} (200 N/m)(0.06 m)^{2} \\PE = 0.36 J[/tex]
Plants cause weathering, too. A seed that falls into a crack in a rock may grow there. Growing roots may push on and enlarge the crack, What is this process called Question 2 options: chemical weathering mechanical weathering root-pry pedalfer
Answer:
c. root-pry
Explanation:
i did the test
The process by which a seed enters a rock fracture and the expanding roots push to widen the fissures is known as mechanical weathering.
What do you mean by mechanical weathering?Machine-induced weathering Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water may seep through fractures and fissures in rock.
You may get mechanical weathering from
the reduction in pressure produced on by the removal of subsurface rock.
Water freezes and thaws in the granite's crevices.
Salt crystals are developing inside the rock.
cracking brought on the plant roots and exposed by digging animals
The information is ,
Let's say the weathering looks like A.
Now, plants are to blame since a seed that falls into a fracture in a rock and the seed's expanding roots push and widen the original gap
Weathering from mechanical sources and one mechanical weathering mechanism that fractures rocks is the freezing and spreading of ice in rock cracks.
Moreover, mechanical weathering reduces rocks into microscopic fragments, increasing the surface area of the material as a whole.
Hence, the method is mechanical weathering.
Click here for additional information about mechanical weathering.
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