A firefighter is using a hose and the flow rate of the water leaving the hose. the speed of the water leaving the hose is mathematically given as
u = 9.947 m/s
What is the speed of the water leaving the hose?
Generally, the equation for Volume flow rate is mathematically given as
(V)= (A) * (u)
Where
A= area
v=velocity
Therefore
V = A*u
V=0.032 m3/s
A=πR2
A= π*0.013
u=V/A
u=0.032/π*0.0322
u = 60.27m/s
In conclusion, the speed of the water leaving the hose
u = 60.27m/s
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A wire carries a 4.0-A current along the +x-axis through a magnetic field B= (5.0 i+7.0 j) T. If the wire experiences a force of 30 N as a result, how long is the wire?
Hello!
The equation for the magnetic force experienced by a wire is:
[tex]F_B = B \times iL[/tex]
F = Magnetic force on wire (30 N)
B = Magnetic field strength (5.0i + 7.0j)
i = Current in wire (4.0 A)
L = Length of wire (? m)
This is a CROSS-PRODUCT. We can rewrite this as:
[tex]F_B = BiLsin\theta[/tex]
Where 'θ' is the angle between the magnetic field and the current carrying wire.
Therefore, we would NOT count any field that is parallel to the wire. The field does have a component (5.0i) that is along the x-axis, so we would NOT count it because the wire is along this same axis.
This leaves the 'j' component, which is PERPENDICULAR to the wire. θ would then be 90°, and sin(90) = 1.
[tex]F_B = B\hat{j} iL[/tex]
Solving for the length:
[tex]L = \frac{F_B}{B\hat{j} i}\\\\L = \frac{30}{7(4)} = \boxed{1.07 m}[/tex]
what is scalar product of A and B , if vector product of A and B is zero
Answer:
A^2+B^2 is the scalar product of A and B
Answer:
Scalar product is equal to the magnitude a vector a times the projection of a onto vector B,
A^2+B^2.The intensity of sound waves is linearly proportional to ?
You are able to hear sounds from farther away on a cool night because sound waves are refracted toward ?
When the trough of one wave collides at the same time & place of the crest of an identical wave?
A water heater is rated at 200w ( 200 Joules/sec). How long will the heater take to provide 60,000 joules to heat up a sample of water?
A sample of 100g of 0 Celsius ice is heated up until the sample totally becomes 0 Celsius water ( solid /liquid phase change occurs in this case).What is the total amount of heat provided to the ice sample?( Latent heat of fusion of water /ice is =79.8 cal/g)?
The amount of heat required to increase the temperature of 100g of water rom 20 Celsius ( specified heat of water =4184 JC-1*kg-1)?
When water vapor condense into liquid water?
(1) The intensity of a sound wave is linearly proportional to the change in the pressure squared.
(2) You are able to hear sounds from farther away on a cool night because sound waves are refracted toward warmer air near the ground.
(3) When the trough of one wave collides at the same time & place of the crest of an identical wave, destructive interference occurs.
(4) The time taken for the heater to provide the energy is 300 secs.
(5) The total amount of heat provided to the ice sample is 7,980 cal.
(6) The amount of heat required to increase the temperature of water is 33,472 J.
Intensity of soundThe intensity of a sound wave is linearly proportional to the change in the pressure squared and inversely proportional to the density and the speed.
Refraction of sound wavesYou are able to hear sounds from farther away on a cool night because sound waves are refracted toward warmer air near the ground.
Destructive inferenceWhen the trough of one wave collides at the same time & place of the crest of an identical wave, destructive interference occurs.
Time taken for the heater to provide the energyE = Power x Time
t = E/P
t = 60,000/200
t = 300 secs
Total amount of heat provided to the ice sampleQ = 79.8 cal/g x 100 g
Q = 7,980 cal
Amount of heat required to increase the temperature of waterQ = 0.1 kg x 4184 J/kgC x (100 - 20)
When water vapor condense into liquid water, temperature = 100⁰C
Q = 33,472 J
Thus, the intensity of a sound wave is linearly proportional to the change in the pressure squared.
You are able to hear sounds from farther away on a cool night because sound waves are refracted toward warmer air near the ground.When the trough of one wave collides at the same time & place of the crest of an identical wave, destructive interference occurs.The time taken for the heater to provide the energy is 300 secs.The total amount of heat provided to the ice sample is 7,980 cal.The amount of heat required to increase the temperature of water is 33,472 J.Learn more about intensity of sound here: https://brainly.com/question/17062836
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Peter arranged the two circuits shown below. P, Q R and S are blocks of four different materials.
Based on the given information, which of the four materials is an insulator?
a. P
b. Q
c. R
d. S
Material P does not always lead to the glowing of the bulb hence the material P is an insulator.
What is an insulator?The term insulator refers to an object that does not permit current to pass through it. Insulators include materials such as wood, plastic etc.
Looking at the two circuits, we can see that the material P does not always lead to the glowing of the bulb hence the material P is an insulator.
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a train travels 8.81 m/s in a -51.0 direction. the train accelerates 2.23 subtext1
The horizontal component of the train's speed is 5.54 m/s and the vertical component's of the train's speed is 6.85 m/s.
Horizontal component of the train's speed
The horizontal component of the train's speed is calculated as follows;
Vx = V cosθ
where;
V is the speed of the trainθ is the direction of the train.Vx = 8.81 m/s x cos(51)
Vx = 5.54 m/s
Vertical component's of the train's speedVy = 8.81 m/s x sin(51)
Vy = 6.85 m/s
Thus, the horizontal component of the train's speed is 5.54 m/s and the vertical component's of the train's speed is 6.85 m/s.
The complete question is below:
a train travels 8.81 m/s in a -51.0 direction. the train accelerates 2.23 m/s². Find the horizontal and vertical component of the train's speed.
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An object with a mass of m = 3.85 kg is suspended at rest between the ceiling and the floor by two thin vertical ropes.
The magnitude of the tension in the lower rope is 12.8 N. Calculate the magnitude of the tension in the upper rope.
The tension in the upper rope is determined as 50.53 N.
Tension in the upper rope
The tension in the upper rope is calculated as follows;
T(u) = T(d)+ mg
where;
T(u) is tension in upper ropeT(d) is tension in lower ropeT(u) = 12.8 N + 3.85(9.8)
T(u) = 50.53 N
Thus, the tension in the upper rope is determined as 50.53 N.
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You fire a projectile 35° above horizontal with an initial velocity of 200m/s. It lands in a valley 300m below the launch point. What is the time of flight of the projectile, and what is the range of projectile?
Answer:
See below
Explanation:
Vertical component of initial velocity = 200 sin 35° = 114.72 m/s
then use position formula a = 9.81 m/s^2
0 = 300 + 114.72 t - 1/2 (9.81)(t^2)
use quadratic formula with a = - 4.905 b = 114.72 c = 300
to find t = 25.76 seconds
To find the range
( horizontal distance the projectile lands from launch point)
Horizontal component of initial velocity 200 cos 35 = 163.83 m/s
( it flies horizontally at this speed for 25.76 seconds <==found above)
163.83 m/s * 25.76 s = 4220.3 meters
A boat moving at 5 km/h to cross a river in which the current is flowing at 3km/h. in what direction should the boat head to reach a point on the other bank of the river directly opposite its starting point?
The boat will move in a direction that is 36.86 degrees away from the velocity vector as it attempts to reach the opposite bank from where it started.
We must understand the issue with the river crossing in order to identify the solution.
How can I determine the angle at which my boat should be travelling against the current to reach the other bank?Let's assume that a boat traveling at velocity Vb is navigating a river with width d and flow Vr.The boat's movement against the current to reach the opposite shore from its starting point will then be in the direction of,[tex]\alpha =sin^{-1}(\frac{V_R}{V_B} )[/tex]
First, using the provided information, we may create a flow diagram for this issue.It is evident from the diagram that the angle will be,[tex]\alpha =sin{-1}(\frac{3}{5} )[/tex]
Thus, we can deduce that the boat will move in a direction that is 36.86 degrees away from the velocity vector as it attempts to reach the opposite bank from where it started.
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Which statement best explains the movement of electric current from the clouds to the ground during a lightning storm?
The statement that best explains the movement of electric current is that the ground is positively charged and the clouds are negatively charged.
What is lightning storm?Lightning storm can be defined as the electrical outlet that occurs due to unsteadiness of the storm clouds and the ground.
Lightning storm occurs when opposite charges build up enough in the air leading to rapid discharge of electricity.
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Which of the following is the best hypothesis?
A. The size of ice crystals in clouds depends on the air temperature.
B. It is fun to fly an airplane through large cumulus clouds.,
C. How big can ice crystals get inside a cloud?
D. Clouds are always found in the atmosphere.
A bug and a city bus have a head-on collision. Is the force the bug exerts on the bus greater than, less than, or the same as the force the bus exerts on the bug? Explain. What happens to the velocity of the bus and the bug after the collision?
Answer:
Force of bug is less than the force that the bus exerts on the bug
Explanation:
Force = MA. bus has more mass so more force and bug has a lot less mass than bus. Bug accelerates in whatever direction the bus is going and the bus is not affected.
What quadrant will the resultant be in if the horizontal component is positive and the vertical component is
negative?
Answer:
Quadrant IV
Explanation:
In Quadrant IV, x is positive, and y is negative.
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In the following circuit, C1=10.0 F, C2=2*10.0 F, C3=2*10.0 F, C4=2*9.4 F, and
C5=3*9.4. Calculate the equivalent capacitance in the circuit.
Your Answer:
The equivalent capacitance in the circuit is 15.05 F.
What is a parallel plate capacitor?The two parallel plates placed at a distance apart are used to store charge when the electric supply is on.
The capacitance of a capacitor in series is given by:
Series capacitance = 1/ capacitance 1 + 1/ Capacitance2
The capacitance of a capacitor in parallel series can be calculated as:
Parallel capacitance = Capacitance 1 + Capacitance 2
In the following circuit,
C1=10.0 F,
C2=2*10.0 F,
C3=2*10.0 F,
C4=2*9.4 F, and
C5=3*9.4.
In the circuit C2 and C3 are in parallel, their equivalent capacitance is
= 2*10.0 F+2*10.0 F
= 4 *10.0 F
Then, C1 is in series with 4 *10.0 F,
So their equivalent capacitance is
=1 /{ 1/10.0 F + 1/ 4 *10.0 F}
=0.8*10.0 F
C4 and C5 are in series, their equivalent is
=1 /{ 1/2*9.4 F + 1/3*9.4 F}
=0.75*9.4 F
Now,0.8*10.0 F and 0.75*9.4 F are in parallel.
Total equivalent capacitance is Ceq = 0.8*10.0 F + 0.75*9.4 F
Ceq = 15.05 F
Thus, the equivalent capacitance in the circuit is 15.05 F.
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a steel ring is 50mm diameter and 2mm thick. it must be fitted onto a shaft 50.04 mm diameter. calculate the temperature to which it must be heated in order to fit the shaft. the initial temperature is 20 deg C and the coefficient of linear expansion is 15x10^-6 per degrees celcius. calculate the stress and forced induced in the ring
okay so the stress and forced induced I can do that but the first part is confusing me because there is no final temperature.
The temperature to which it must be heated in order to fit the shaft is 73.33 ⁰C.
Linear expansivity
The temperature to which it must be heated in order to fit the shaft is calculated as follows;
[tex]\frac{\Delta L}{L} = \alpha \Delta T\\\\\Delta T = \frac{\Delta L}{\alpha L}[/tex]
where;
ΔT is change in temperatureΔL is change in length = 50.04 mm - 50 mm = 0.04 mmα is coefficient of linear expansionL is original lengthΔT = (0.04)/(50 x 15 x 10⁻⁶)
ΔT = 53.3 ⁰C
Final temperatureT₂ - T₁ = ΔT
T₂ = ΔT + T₁
where;
T₂ is final temperatureT₁ is initial temperatureT₂ = 53.3 + 20
T₂ = 73.33 ⁰C
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Identify the type of synthetic material used in each object. alloy ceramic polymer
The type of synthetic material used in each object include:
Tuba - AlloyPaper - PolymerPot - Ceramics.What is a Synthetic material?These are materials which are produced in the laboratory through different types of chemical processes.
Paper is made up of polymers such as Carboxylated styrene-butadiene latex etc.
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The stem of thermometer is made by thick glass and the bulb is made by thin glass, Why?
Answer:
The reason is to allow the thermometer to respond relatively quickly, and relatively accurately. The glass contains the liquid being used in the thermometer, but if it is too thick, then it will not pass heat as quickly, and it will absorb some of the heat from whatever is being measured.
Explanation:
˙˚ʚ(´◡`)ɞ˚˙
Three containers are filled with water to the same level. Identical marbles are dropped into all the three containers. In which container will the water level be the highest?
a. P
b. Q
c. R
d. The level will be the same in all the three containers.
Answer:
P
Explanation:
,............................................ I have. a doubt too on D
It takes 23 hours 56 minutes and 4 seconds for the earth to make one revolution (mean sidereal day). What is the angular speed of the earth?
angular speed = 7.29x10^-5 rad/s
Assume the earth is spherical. Relative to someone on the rotation axis, what is the linear speed of an object on the surface if the radius vector from the center of the earth to the object makes an angle of 49.0° with the axis of rotation. The radius of the earth is 6.37×103 km.
linear speed = 3.51 x 10^2 m/s
* What is the acceleration of the object on the surface of the earth in the previous problem?
Answer: See below
Explanation:
Part (a):
The angular speed of the Earth can be calculated as,
[tex]\omega &= \dfrac{{2\pi }}{T}\\ \omega &= \dfrac{{2\pi }}{{\left( {23 \times 3600} \right)\left( {56 \times 60} \right) + 4}}\\ \omega &= 7.29 \times {10^{ - 5}}\;{\rm{rad/s}}[/tex]
Part (b):
The linear velocity of the object can be calculated as,
[tex]v &= \omega r\sin \theta \\ v &= \left( {7.29 \times {{10}^{ - 5}}} \right)\left( {6.37 \times {{10}^6}} \right)\sin 47^\circ \\ v &= 339.62\;{\rm{m/s}}[/tex]
Part (c):
The acceleration of the object can be calculated as,
[tex]a &= \dfrac{{{v^2}}}{{r\sin \theta }}\\ a &= \dfrac{{{{339.62}^2}}}{{6.37 \times {{10}^6}\sin 47^\circ }}\\ a &= 0.024\;{\rm{m/}}{{\rm{s}}^{\rm{2}}}[/tex]
Calculate the x and y components for the vector below. Show all work. d = 43.2 m [43.0° W of N]
The x and y components of the vector is 31.59 m and 29.46 m respectively.
X component of the vector
The x component is calculated as follows;
v(x) = v cos(43)
v(x) = 43.2 m x cos(43) = 31.59 m
Y component of the vectorThe y component is calculated as follows;
v(y) = v sin(43)
v(y) = 43.2 m x sin(43) = 29.46 m
Thus, the x and y components of the vector is 31.59 m and 29.46 m respectively.
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A force of 1.5 × 102 n is exerted on a charge of 1.4 × 10–7 c that is traveling at an angle of 75° to a magnetic field. if the charge is moving at 1.3 × 106 m/s, what is the magnetic field strength?
The magnetic field strength = 8.5 x 10² T.
Solution :
the magnetic force Fm is given by
Fm= q V B sinθ
q= charge=1.4 x 10⁻⁷ C
v= velocity= 1.3 x 10⁶ m/s
B= magnetic field strength
Fm= magnetic force= 1.5 x 10² N
θ=75°
so 1.5 x 10²=(1.4 x 10⁻⁷) (1.3 x 10⁶ ) (B) sin75
B=8.5 x 10² T
Magnetic field strength: The definition of H is H = B/μ − M, where B is the magnetic flux density, a measure of the actual magnetic field within a material considered as a concentration of magnetic field lines, or flux, per unit cross-sectional area; μ is the magnetic permeability; and M is the magnetization.
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Answer: 8.5 × 10^2 T
Explanation: Edge2020
You place a book of mass 5.00 kg against a vertical wall. You apply a constant force F⃗ to the book, where F = 96.0 N and the force is at angle of 60.0∘ above the horizontal. The coefficient of kinetic friction between the book and the wall is 0.300.
If the book is initially at rest, what is its speed after it has traveled 0.400 m up the wall.
The speed after it has traveled 0.400 m up the wall will be 1.77 m/sec.
What is the work-energy theorem?From the work-energy theorem, it is stated that the net work done is equal to the change in the kinetic energy.
Given data;
Mass of book,m =5.00
Force,F = 96.0 N
Θ is the angle above the horizontal = 60°
The coefficient of kinetic friction between the book and the wall is μ =0.300.
R is the normal reaction
W₁ = Fd cosΘ
W₁=(96.0 N) (0.4 m) in 60°
W₁= 33.25 J
Work done by gravity is,
W₂ = mgdcos180°
W₂ = (5.00 kg) (9.81 m/s²)(0.4 m) cos180°
W₂ = -19.6J
The Normal force on the book by the wall is,
N = FcosΘ
N = (96 N) cos 60°
N=48 J
Work done by friction is;
W₃=μkRdcos180°
W₃=0.3)(48 J)(0.4 m) cos180°
W₃ =-5.76 J
The net work done is;
W =W₁+W₂+W₃
W=33.25-19.6-5.76
W=7.89 N
From the work-energy theorem, we have
W = ΔK
[tex]\rm W = \frac{1}{2} mv^2 - 0[/tex]
The speed is;
[tex]\rm v = \sqrt \frac{2 W}{m} \\\ v = \sqrt{\frac{2 \times 7.89} {5.00}}\\\\ v = 1.77 \ m/sec[/tex]
Hence, the speed after it has traveled 0.400 m up the wall will be 1.77 m/sec.
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What is the length of the y-component of the vector plotted below?
The length of the y-component of the vector plotted below is 1 unit.
We know this because this vector can be descomposed in two vectors (blue) that form an angle of 90° beetween them. The measures of this vectors must be able to form a right-angle triangle with the descomposed vector (see image).
identify the solute and solvent in a solution made of 15g of oxygen and 5g
of helium
Taking into account the definition of solvent and solute, helium is the solute and oxygen is the solvent.
Definition of solute and solventThe solution is a homogeneous mixture of two or more components that have the same chemical and physical properties in a single phase. A solution is made up of two main components: the solute and the solvent.
That is, the solute and the solvent are the components of a chemical solution, that is, of a homogeneous mixture that occurs when one or more substances are dissolved in another substance.
The solute is the substance that dissolves in a solution. In solution, the solute is usually found in a lower proportion than the solvent.
Solvent is the substance in which a solute dissolves, resulting in a chemical solution. Generally, the solvent is the component that is found in the highest proportion in the solution. It will always be the solvent who will determine the state of the matter that will have the solution.
Solute ans solvent in this caseIn this case, you consider that the solute is the component in less quantity and the solvent is the major component.
You know that a solution made of 15 g of oxygen and 5 g of helium. Then, helium is the solute and oxygen is the solvent.
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In order to ensure a message is understood requires:
a. Speaking clearly
b. Speaking concisely
c. Not allowing body language to portray a different message
d. All of the above
Order to ensure a message is understood requires all four option is needed.
The option will be D.All of the above.
What is a good communication skill?
The sender is the person who is trying to communicate a message.The challenge is that since the receiver’s education and experience may be very different from the sender's, words often have different meanings.While we may carefully choose the words to speak, words alone represent a small percentage. communication is only verbal the most important element of communicationWhen encountering a noise, take steps to reduce the distraction.
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1. Block A with a mass of 1 kg and block B with a mass of 2 kg lie on a smooth table. You wish to apply a horizontal force to each ball to give them the same horizontal acceleration (and you may safely ignore friction). Which of the following best describes the relative magnitude of the forces you must apply?
a) The magnitude of the force on block A must be twice as much as the force on block B.
b) The magnitude of the force on block B must be twice as much as the force on block A.
c) Both forces must have the same magnitude.
d) More information is needed to determine the relative magnitudes of the forces.
2. Block A has a mass of 1 kg and block B has a mass of 2 kg. Which of following best describes the relative magnitudes of the gravitational force (due to the Earth) on each block?
a)The gravitational force on block A is twice as much as the gravitational force on block B.
b)The gravitational force on block B is twice as much as the gravitational force on block A.
c)Both gravitational forces have the same magnitude.
d)More information is needed to determine the relative magnitudes of the forces.
3. You hold block A with a mass of 1 kg in one hand and block B with a mass of 2 kg in the other. You release them both from the same height above the ground at the same time. (Air resistance can safely be ignored as they fall.) Which of the following describes and explains the motion of the two objects after you release them?
a)Block A hits the ground before the block B. The same force of gravity acts on both objects, but because block A has a lower mass, it will have a larger acceleration.
b)Block B hits the ground before the block A. The larger force on block B causes it to have a greater acceleration than block A.
c)The two blocks hit the ground at the same time, because they both accelerate at the same rate while falling. The greater gravitational force on block B is compensated by its greater mass, giving it the same acceleration.
d)The two blocks hit the ground at the same time, because they both move at the same constant speed while falling. The forces on the blocks are irrelevant once they start falling.
The gravitational force on block B is twice as much as the gravitational force on block A.
What is Force?Force is the product of mass and acceleration. If the mass of A is 1Kg and the mass of B is 2Kg, In order to give the masses the same horizontal acceleration, the magnitude of the force on block B must be twice as much as the force on block A.
Given that the mass of A is 1Kg and the mass of B is 2Kg, the gravitational force on block B is twice as much as the gravitational force on block A.
If I hold block A with a mass of 1 kg in one hand and block B with a mass of 2 kg in the other and release both from the same height above the ground at the same time, the two blocks hit the ground at the same time, because they both accelerate at the same rate while falling. The greater gravitational force on block B is compensated by its greater mass, giving it the same acceleration.
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what is a primary source
More than 700 people in the United States have been infected with monkeypox virus American vector: the epidemic is spreading like a snowball.
Answer: I don't understand if it is a question
Explanation:
More than 700 people in the United States have been infected with monkeypox virus American vector: the epidemic is spreading like a snowball.
A butcher has a beam balance and masses 0.5kg and 2kg .How would he measure 1.5 kg of meat on the beam balance at once.
The butcher should balance both the meat and 0.5 kg mass on one arm of the beam balance and 2 kg mass on the other arm of the beam balance.
What is a beam balance?A beam balance can be defined as an apparatus which comprises a lever with two (2) equal arms and a bowl (pan) that is suspended from each arm, so as to measure the mass of an object.
In this scenario, the butcher should balance both the meat and 0.5 kg mass on one arm of the beam balance and 2 kg mass on the other arm of the beam balance.
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a barber wants to setup a saloon in a measuring length of 3m by 3m. He has a simple wooden chairs,3 large mirror and one bulb. Using the knowledge of shadows and reflection, advice the barber on how to arrange a good saloon using the only item he has. Without adding more source of light, how can he enhance the lighting system in his saloon?
According to the information, it can be inferred that the best way to distribute the chairs and mirrors is to put the light system on a wall and put the 3 mirrors and chairs in front of the light as shown in the image.
How to distribute the objects to take advantage of the light from the bulb?To take advantage of the light from the bulb for the three chairs and the three mirrors, the objects must be placed in such a way that all three receive enough light to be able to carry out the work of cutting the hair.
So, the best option would be to put the bulb in the middle of a wall, and place a chair and mirror in front of the bulb. The other two chairs should be located one on each side of the centered chair and the mirrors in front of each chair.
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Compare a cup of hot coffe with the Pacific Ocean . Which statement about thermal energy and temperature is correct
Pacific Ocean has more thermal energy and a higher temperature.
What is thermal energy?The term thermal energy refers to the energy that is possessed by a body as a result of a temperature difference between a body and its environment.
We know that the thermal energy is also dependent on the mass of a body. Therefore, the statement about thermal energy and temperature that is correct is; water in the Pacific Ocean has more thermal energy and a higher temperature.
Missing parts:
Compare a cup of hot coffee with the Pacific Ocean. Which statement about thermal energy and temperature is correct?
Water in the Pacific Ocean has more thermal energy and a higher temperature.
Water in the Pacific Ocean has less thermal energy and a lower temperature.
Water in the Pacific Ocean has less thermal energy and a higher temperature
Water in the Pacific Ocean has more thermal energy and a lower temperature.
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