The displacement of Edward in the westerly direction is determined as 338.32 km.
What is displacement of Edward?The displacement of Edward can be determined from different methods of vector addition. The method applied here is triangular method.
The angle between the 200 km north west and 150 km west = 60 + 90 = 150⁰
The displacement is the side of the triangle facing 150⁰ = R
R² = a² + b² - 2abcosR
R² = 150² + 200² - (2x 150 x 200)xcos(150)
R² = 62,500 - (-51,961.52)
R² = 114,461.52
R = 338.32 km
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You observe your friend standing in line at the cafeteria. You conclude they are buying lunch today. This is an example of: A. A scientific theory. B. An independent variable. C. An inference. D. A hypothesis
Answer:
5875yuguggjgefutfhyds
Explanation:
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Spring constant here for 22 cm spring is 50 N per metre 840 if you stretch the spring and when is measured again is 32 cm long what is the size of this force
Define 1 volt. Express it in terms of SI unit of work and charge calculate the amount of energy consumed in carrying a charge of 1 coulomb through a battery of 3 V.
Answer:
Work done =3 joules
Explanation:
1 volt is the same as 1 Coulomb and 1 Joule
V=W/Q
1=W/3
W=3 x 1
W=3 Joules
The power in a circuit is 2 W and the voltage is 20 VDC. What's the circuit current?
Answer:
Power in the circuit is 0.1 amp
Explanation:
The power in the circuit is given by the formula
P = V x I
Where P is Power, V is voltage supplied and I is current in circuit.
so, I = P/v
= 2/20
=0.1 A
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Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?
The angles in the triangle are 91 degrees, 53 degrees and 36 degrees respectively.
What is the cosine rule?From the cosine rule we know that;
c^2 = a^2 + b^2 - 2abcosC
Since;
a = 0.47 m
b = 0.62 m
c = 0.78 m
Then;
(0.78)^2 = (0.47)^2 + (0.62)^2 - 2(0.47 * 0.62)cosC
0.61 = 0.22 + 0.38 - 0.58 cosC
0.61 - ( 0.22 + 0.38) = - 0.58 cosC
0.01 = - 0.58 cosC
C = cos-1(0.01/-0.58)
C = 91 degrees
Using the sine rule;
b/Sin B = c/Sin C
0.62/sinB = 0.78/sin 91
0.62/Sin B = 0.78
B = sin-1 (0.62//0.78)
B = 53 degrees
Angle A is obtained from the sum of angles in a triangle;
180 - (91 + 53)
A = 36 degrees
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a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity
Answer:
6 m/s
Explanation:
Average velocity = Total distance covered / Time taken to cover distance
Finding Average Velocity :
⇒ 20 m + 40 m / 2 s + 8 s
⇒ 60 m / 10 s
⇒ 6 m/s
a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity.
Solution:AV = 20m + 40m/s 2s + 8secondAV = 60m/s ÷ 10sAV = 6m/s²So the Average velocity is 6m/s²
Two identical masses are attached to frictionless pulleys by very light strings wrapped around the rim of the pulley and are released from rest. Both pulleys have the same mass and same diameter, but one is solid and the other is a hoop As the masses fall in which case is the tension in the string greateror is it the same in both cases? Justify your answer
The tension in the string is same in both cases because of the similar mass or weight of the bodies.
Is tension be the same in both cases?Both pulleys have the same mass and same diameter, but one is solid and the other is a hoop, then there is same tension occurs in both cases because tension depends on mass which is similar on both side. We know that tension is the opposite force of the weight.
So we can conclude that the tension in the string is same in both cases because of the similar mass or weight of the bodies.
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Which dog has the most kinetic energy? A. A dog of mass 12 kg running with speed 6 m/s B. A dog of mass 10 kg running with speed 3 m/s C. A dog of mass 16 kg running with speed 5 m/s D. A dog of mass 14 kg running with speed 4 m/s
Answer:
A
Explanation:
KE = 1/2 m v^2
the greatest is A
A car of mass 500 kg is moving at a speed of 1.2 m/s. A man pushes the car, increasing the speed to 2 m/s. How much work did the man do?
A. 1360 J
B. 360 J
C. 640 J
D. 1000 J
Answer:
Option B - 360 J
Explanation:
One of the formulas used to find out how much work was done is :
E = 0.5×m×v² (where m is the mass and v is the velocity)
Now we substitute values from the question and simplify :
E = 0.5×500×1.2²
E = 250×1.2²
E = 250×1.44
E = 360 J
So our answer is Option B
Hope this helped and have a good day
How do light waves differ from sound waves?
Answer:
Light waves are electromagnetic waves while sound waves are mechanical waves. :)
Is the ability to discriminate between two close objects.
Answer:
resolution
Explanation:
That is the definition of resolution
A car starts from rest and coasts down a hill with a constant acceleration.If it goes 90m in 8s,find the acceleration and velocity after 8s.
Calculate the current through the ammeter (look at photo)
Answer:
6 amps
Explanation:by Kirchhoff's loop rule the current at any point in the loop must be equal or charge would be building up. The current at the ammeter is equally to the total current through the sun of the paths in parallel which it is in series with
Microscopes are used to study the structures of rocks. Over time, microscopes have become more and more powerful.
As a result of this technological improvement, our structural information of rocks
As a result this technological improvement, our structural information of rocks has improved greatly.
What is a petrographic microscope?A petrographic microscope is a type of optical microscope that is used to identify rocks and minerals in very thin sections and also to investigate microscopic textures and features that are present in minerals and rocks.
This has improved greatly recent structural information about rocks.
Hence, microscopes used in the study of structures of rocks has overtime improved greatly our structural information about them
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Answer:
B is the correct answer.
Explanation:
Discuss how wind energy was used in ancient times.
Answer:
People used wind energy to propel boats along the Nile River as early as 5,000 BC. By 200 BC, simple wind-powered water pumps were used in China, and windmills with woven-reed blades were grinding grain in Persia and the Middle East.
Explanation:
Hope it helps you:)))))
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at what temperature does the fahrenheit scale read quartered the celsius scale ? what is the corresponding reading in kelvin scale ?
The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C
Reading in kelvin scale = 252.5 K
Determine the temperature at which the Fahrenheit scale reads quartered the celsius scaleThe relationship between Fahrenheit and celsius can be expressed as
F = (9/5)(C) + 32 ---- ( 1 )
Therefore the temperature at which Fahrenheit scale quarters the celsius scale is :
F = 1/4 C --- ( 2 )
Back to equation ( 1 )
1/4 C = (9/5)(C) + 32
1/4C - 9/5C = 32
C ( 1/4 - 9/5 ) = 32
C = 32 / ( 1/4 - 9/5 )
= -20.64⁰C
F = 1/4 ( -20.64 ) = -5.16 ⁰F
Hence we can conclude that The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C. Reading in kelvin scale = 252.5 K
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Classify each characteristic as either a metal or a nonmetal.
shiny surface
dull surface
good conductor of electricity
good conductor of heat
poor conductor of electricity
poor conductor of heat
malleable
brittle
Answer:
metal, non, metal, metal, non, non, metal, non
Explanation:
knowledge
A object moving at 20m/s slows uniformly at the rate of 30m/s² each second for a time of 4second determine A.its final velocity? B.its average velocity during the 4second? C.the distance moved in 6second
Answer:
a its final velocity
Explanation:
A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the tables edge in the
horizontal direction.
a. How long is the marble in the air?
b. What is the speed of the marble when it leaves the tables edge?
Im/s
C. What is its speed when it hits the floor?
A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the edge of the table in the horizontal direction,
t= 0.45 seconds.V=2.22m/sVT=4.95 m/sThis is further explained below.
What is its speed when it hits the floor...?Generally, the equation for motion is mathematically given as
S= ut + 0.5at²
Therefore
y = Voy t + 0.5gt^2
1 = 0.5x 98 x 6²
1=4.9t^2
[tex]t=\sqrt{0.2041 }[/tex]
t= 0.45 seconds.
b) Horizontal motions are uniform.
V=Horizontal displacement/time
V=1/0.45
V=2.22m/s
C)
Vx: 2.22 m/s At bottom,
Vy² = Voy² + 2as
Vy² = 2x95x1
Vy² = 19.6
Total velocity
[tex]VT=\sqrt{( 2.22 m/)^2+19.6}[/tex]
VT=4.95 m/s
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Which is the smallest unit of life?
Answer:
the cell is the smallest unit
1. Identify Give three examples of kinetic energy and three examples of potential energy .
Answer:
Examples of Gravitational Potential Energy
A raised weight.
Water that is behind a dam.
A car that is parked at the top of a hill.
A yoyo before it is released.
River water at the top of a waterfall.
A book on a table before it falls.
A child at the top of a slide.
Ripe fruit before it falls.
Explanation:
Any object in motion is using kinetic energy: a person walking, a thrown baseball, a crumb falling from a table, and a charged particle in an electric field are all examples of kinetic energy at work.
Kinetic energy is energy that is stored and not moving
O True
O False
WHOEVER ANSWERS FIRST WILL BE MARKED BRAINLIEST!
On the fret board the encircled ? represents which note
A. A flat
B. A sharp
C. C sharp
D. E Flat
Answer:
B. A sharp
Explanation:
According to the law of conservation of energy, which changes would INCREASE the total energy of a system?
A. An addition of 400 J of thermal energy and a loss of 550 J of kinetic energy
B. An addition of 200 J of thermal energy and a loss of 550 J of thermal energy
C. An addition of 300 J of GPE and a loss of 450 J of thermal energy
D. An addition of 500 J of kinetic energy and a loss of 450 J of thermal energy
The changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.
What is conservation of energy?The term conservation of energy means that energy can not be created nor destroyed.
In this case, the changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.
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3. Harris is putting in a three-phase Y-Y-
connected transformer bank and the
secondary line-to-line voltage is 208 V.
What's the line-to-neutral voltage?
O A. 120 V
O B. 359 V
C. 69 V
O D. 240 V
120V is the line-to-neutral voltage .
What is Line Voltage ?It is defined as the voltage of a power transmission circuit or distribution circuit up to the point of transformation or utilization.
The secondary line voltage is [tex]V_{L} = 280 V[/tex]
The notation AC indicates that the current is an alternating current.
The given formula is [tex]V_{ph} = \frac{V_{L} }{\sqrt{3} }[/tex]
Substitute 208 V into the formula
[tex]V_{ph} = \frac{V_{L} }{\sqrt{3} } \\\\V_{ph} = \frac{208V}{\sqrt{3} } \\\\= 120 (Approx)[/tex]
So, the line-to-neutral voltage is 120 V.
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8. Ella wants to replace old bulbs of her home with new LED bulbs. She buys LED bulb that has inbuilt AC to DC converter of output 5V and 2.5A. a. If the LED is 75% efficient, what would be the power dissipated? b. Find the work done by the LED when it is connected to the power supply and left for 1hour 15 minutes.
The power dissipated by the LED is 20 Watts and the work done for 1 hour 15 minutes is 56.25 kJ.
What is electrical power?Electrical power is the rate at which electrical work is done.
Electrical power = voltage × currentThe LED is 75% efficient means that 75% of power dissipated by the LED is converted to light.
Total power dissipated = 5 × 2.5 = 12.5 Watts
Work done = power × time (in seconds)Work done = 12.5 × (1 × 3600 + 15 × 60)
Work done = 56250 J = 56.25 kJ
Therefore, the power dissipated by the LED is 20 Watts and the work done for 1 hour 15 minutes is 56.25 kJ.
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30 POINTS!!! how long must a 50 N force act on a 400 kg mass to raise its speed from 10 m/s to 12 m/s
Answer:
16 seconds
Explanation:
we want to find the acceleration first:
F = ma
50/400 = a
a = 0.125 m/s²
laws of motion formula:
vf = vi + at
12 = 10 + 0.125t
t = 16 seconds
hope this helps :)
Why is digital forensics important?
Hi! digital forensics is important because not only does digital forensics allow cyber security organisations to develop technologies that can prevent hackers from accessing devices, websites and networks but can lead businesses in the direction of understanding exactly what data is compromised.
ten-story building has identical stairs throughout its stairways. A student calculates the amount of work required to climb one set of stairs and the amount of work to climb the entire ten sets.
Which quantity will remain constant in this experiment?
Answer:
c
Explanation:
The radius of a nucleus is about 1/10000 that of an atom.
Calculate the radius of a magnesium nucleus.
Give your answer in standard form.
The radius of a magnesium atom is 0.160nm. The radius of a nucleus is about 1/10000 that of an atom.
What is nucleus?The nucleus is an organelle that contains the DNA i.e. genetic material and other materials which is required for cellular processes. It is only found in eukaryotic cells that is responsible for controlling the processes of the cell.
So we can conclude that the radius of a magnesium atom is 0.160nm which is equals to about 1/10000 radius of that atom.
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