From Hooke's law, the force constant of the wire is 3.0 * 10^5 N/m while the Young Modulus is 6.4 * 10^7 .
What is Hookes law?According to Hooke's law, the force is directly proportional to the extension of the wire.
Given that;
F = Ke
F = 240N
e = 0.8 mm or 0.0008m
K = F/e
K = 240N/0.0008m
K = 3.0 * 10^5 N/m
Now;
Young Modulus = 240N/(3.14 * (1.5 * 10^-3)^2)/0.0008m/1.5 * 10^-3
= 6.4 * 10^7
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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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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:
What is the velocity of an object that has been in free fall for 2.5 s?
A. -3.9 m/s downward
B. 3.9 m/s downward
C. 250 m/s downward
O
D. 25 m/s downward
After 2.5 seconds of free fall, an item will be moving downhill at a speed of 25 m/s.Option D is correct.
What is velocity?The change of displacement with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is;
t(time)= 2.5 s
u(falling velocity)=0 m/sec
v(striking velocity)=? (m/sec)
Newton's first equation of motion:
v=u+at
v=u+gt
v=10 × 2.5
v= 25 m/s downward(+ ve taken as downward)
The velocity of an object that has been in free fall for 2.5 s will be 25 m/s downward.
Hence, option D is correct.
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A 10.0-kg test rocket is fired vertically. When the engine stops firing, the rocket’s kinetic energy is 1960 J. After the fuel is burned, to what additional height will the rocket rise?
Answer:
20m
Explanation:
So the formula for PE(Potential Energy) = Mass x Acceleration x Height
So we are given the following
PE = 1960
Mass = 10Kg
Acceleration = 9.8m/s^2 (The reason we have an acceleration is due to gravity)
Height = ?
So to calculate height we will use the same formula
1960 = 10 x 9.8 x h
1960 = 98 x h
1960 = 98h
we divide 98 on both sides
H = 20m
Hope this helped.
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
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:
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Uranium-235 Fission
Given: energy released = about 200 MeV per individual reaction (mass = 235 amu)
Part A
Find the balanced nuclear reaction.
In the balanced nuclear reaction of uranium 235, we have thorium 231, helium atom and energy released at the right of the equation
Balanced nuclear reaction of UraniumThe balanced nuclear reaction of uranium is determined as follows;
[tex]^{235}_{92}U\ --- > \ ^4_2He\ + \ ^{231}_{90}Th\ + \ energy[/tex]
Thus, in the balanced nuclear reaction of uranium 235, we have thorium 231, helium atom and energy released at the right of the equation while uranium 235 is on the left hand side of the nuclear reaction equation.
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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:
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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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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Is the ability to discriminate between two close objects.
Answer:
resolution
Explanation:
That is the definition of resolution
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
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
If a car accelerates at 6.4 m/s?
1, what will its velocity be after 9.0
seconds? (Answer to 1 decimal place)
Final velocity be v
According to first equation of kinematics
v=u+atv=0+6.4(6)v=57.6m/s3. Two wires increase in length by the same amount when both their temperatures increase by the same amount, as shown in the diagram. Before the temperature increase, the longer wire is 1.2525 m long. The shorter wire’s linear coefficient of thermal expansion is 1.135 times that of the longer wire. How much shorter is the shorter wire before the temperature increase? Answer to three significant figures
Viết cho Ngọc Khánh
Two wires increase in length by the same amount when both their temperatures increase by the same amount, the shortness of the wire before the temperature increase is mathematically given as
dL=0.1485m
How much shorter is the shorter wire before the temperature increase?Generally, the equation for change in length is mathematically given as
[tex]dl=lo \alpha dt[/tex]
Therefore
dl1=dl2
Where
a2=1.35a1
Hence
a1l1dt= a2l2dt
a1(1.2525)= a1*(1.135)(l2)
L2=1.104m
In conclusion, a change in length due to temperature is
dL=1.2525-1.104m
dL=0.1485m
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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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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.
Ultrasound is used to scan the unborn baby of a pregnant mother.
The detector receives an echo from the skull of the fetus 58 us after the pulse leaves the ultrasound
scanner.
Calculate the distance from the ultrasound scanner to the skull to 2 significant figures.
Give the unit for your answer.
(The speed of ultrasound in soft tissue is 1540 m/s
How many dogs can cross at one
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.
I need help with this question (open-ended question) 50 points (NO BOTS!!!)
Choose TWO locations below (A, B, C) and provide a two-sentence weather forecast for that location. Your forecast must include Wind direction, general wind speed (high, moderate, low) general temperatures (cold, cool, mild, warm, hot), and sky conditions(precipitation/stormy, sunny cloudy).
The weather forecast for the locations includes:
London - 21°C°, Precipitation: 60%, Humidity: 79%, Wind: 11 km/h.
New York - 26°C°, Precipitation: 50%, Humidity: 76%, Wind: 19 km/h.
What is weather?It should be noted that weather is the state of the atmosphere with respect to heat or cold, calm or storm, clearness or cloudiness.
Weather forecast is an analysis of the state of the weather in an area with an assessment of the likely developments.
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A child jumps from a moving sled with a speed of 2.2 m/s and in the direction opposite the sled's motion. The sled continues to move in the forward direction, but with a new speed of 5.5 m/s. If the child has a mass of 38 kg and the sled has a mass 68 kg, what is the initial velocity of the sled?
Answer:
p=mv , m1*v1 = m2*v2 , 2.2*38 = 68*v2 -> v2=1.23 , vf=vi+v2 -> vi=vf-v2 -> vi=5.5-1.23=4.27
my apologies if it's wrong
let the child jump, do ur work~~~
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How much weight can be placed on the spring so that the end of the spring is 2m above the ground?
The weight must be 288N placed on the end of the spring when it is 2m from the ground.
What is gravitational potential energy?If an object is lifted, work is done against gravitational force. The object gains energy.
Given is a spring has a spring constant of 48 N/m. The end of the spring hangs 8 m above the ground. The final height of weight above the ground, h =2m
Using Hooke's law, expressed as
Force, F = k (x₂-x₁).
Put the values, we get
F = 48 (8-2)
F = 288 N
This force applied on the spring is equal to the weight placed on the spring.
Weight W= 288N.
Thus, the weight must be 288N.
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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
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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:
why does light reflecting off of a piece of paper get scattered in all directions even though it appears to be flat and smooth? (be sure to include the idea of the normal line in your explanation)
Answer:
If light meets a rough surface, each ray obeys the law of reflection. However, the different parts of the rough surface point in different directions, so the light is not all reflected in one direction. Instead, the light is reflected in all directions. This is called diffuse scattering
Explanation:
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Plot a graph showing the variation of stopping potential with the frequency of incident radiation for two different photosensitive materials having work Functions [tex]{\omega{1}}[/tex] and [tex]{\omega{2}}[/tex] [tex]{(\omega{1}>\omega{2})}[/tex]. On what factors does the (i) Slope and (ii) intercept of the lines depends?
We know By Einstein's Photoelectric Equation:
[tex]{:\implies \quad \sf h\nu =h\nu_{0}+\dfrac{1}{2}m{v^{2}}_{max}}[/tex]
[tex]{:\implies \quad \sf h\nu =h\nu_{0}+eV_{0}}[/tex]
[tex]{:\implies \quad \sf eV_{0}=h\nu -h\nu_{0}}[/tex]
[tex]{:\implies \quad \sf V_{0}=\dfrac{h\nu}{e}-\dfrac{h\nu_{0}}{e}}[/tex]
Since [tex]{\nu}[/tex] is plotted along X-axis and [tex]{V_0}[/tex] along Y-axis, it represents a straight line
(i) The slope of [tex]{V_{0}}[/tex] versus [tex]{\nu}[/tex] graph= (h/e) i.e it is a constant quantity and does not depend on the nature of the metal surface
(ii) The intercept on the [tex]{\nu}[/tex]-axis = [tex]{(h\nu_{0}/e)}[/tex] i.e it depends on the work function of the metal surface
Refer to the attachment for the graph
The object was thrown vertically upwards at a speed of 30 m / s. How high does the body go?
and how long does it take to get back to the point of shooting?
Answer:
4.9
Explanation:
Velocity half second before maximum height = Velocity half second after maximum height (Return journey)
For downward journey :
Initial velocity u=0 m/s
We have g=9.8 m/s
Time t= ½s
s
Thus velocity after half second v=u+gt
v=0+9.8× ½ =4.9m/s
Which is the smallest unit of life?
Answer:
the cell is the smallest unit
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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