A particle of mass and charge has a starting speed at point a and goes to a point b where the electric potential is greater than at point a. At location b, the particle has a kinetic energy of 1/2mua2-q (V)
Given mass of particle is m and charge is q
At point a let the electric potential be Va and speed is ua
At point b let the electric potential be Vb and its speed be ub
The electric potential at b is greater than at point a So, let the electric potential at a be Va = 0 such that Vb>Va and Vb = V
At point b the particle comes to rest so the speed at point be zero. ub=0
by conservation of energy 1/2mua^2+q Va = 1/2mub^2+qVb
According to kinetic energy formula we say KE = 1/2MV^2
So Kinetic energy at point b is KE(b) = 1/2mua^2+q Va = 1/2mub^2+qVb = 1/2mua^2 +q(0-V)
KE(b) = 1/2mua^2-q(V)
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the first students launches the ball with a velocity of 11.2 m/s in the x direction and 6.9 m/s in the y direction. what is the time the football takes to complete its flight path?
The time the football takes to complete its flight path is 1.04 sec.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
Calculation:-
Time of flight depends on the y direction
V in y direction is = 6.9 m/s
V² = U² - 2gh
h = u²/2g
= 47.61 /2 * 9.8
= 2.43 m
Time of flight = 2U/g
= 2 * 6.9 / 9.8
= 1.4 second.
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8.how does distance affect the force of attraction between two oppositely charged particles? what does say about the interaction of like and differently charged particles?
Increasing the distance between objects reduces the attraction or repulsion between them.
When the distance between two charges is doubled, the attractive or repulsive force becomes weaker and drops to a quarter of its original value. If the charge is 10 times closer, the magnitude of the force will be 100 times greater. The magnitude of the force is proportional to the value of each charge.
Therefore, the strength of bonding between ions of opposite charge in an ionic compound depends on the charge of the ions and the distance between the centers of the ions as they are packed into the crystal. If the two charges held are unequal, the electrostatic force increases with distance.
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when light reflects from a surface, there is a change in its a. frequency. b. wavelength. c. speed. d. all of these e. none of these
When light reflects from a surface, there has no change in its frequency, wavelength and speed. So, option (e) is correct.
What is reflection of light?It is known as light reflection when a light ray strikes a perfectly smooth, polished surface and reflects back. The surface reflects the incident light rays that come in contact with it. Reflected ray refers to the ray that returns. A perpendicular would be referred to as normal if it were drawn on a reflective surface.
In reflection, frequency, wavelength and speed of the light wave remains same and only the direction of light changes.
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a 7.4 g bullet leaves the muzzle of a rifle with a speed of 493.1 m/s. what constant force is exerted on the bullet while it is traveling down the 0.8 m length of the barrel of the rifle?
A 7.4 g bullet shoots out of a rifle's muzzle at 493.1 m/s per second. While the bullet is moving down the rifle's 0.8-m-long barrel, it experiences a constant force that is 2878.88N
Given mass of the bullet (m) = 7.4g
Speed of bullet (v) = 493.1m/s
length of barrel of rifle is (s) = 0.8m
Force exerted on the bullet = F
To find the acceleration in the barrel, we use equation v^2 = u^2+2as where u =0 as initially at rest
a = v^2/2s = 493.1x493.1/2x0.8 = 389036.176m/s^2
We know that the force (F) = mass x acceleration
F = 7.4 x 10-3x 389036.176 = 2878.88N
Hence the constant force exerted on the bullet is 2878.88N
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how might a differejce in the mass of the pod change the amount of force needed to be exerted by the thrusters to stop it
A difference in the mass of the pod would greatly affect the force required by the thrusters to stop it. The larger the mass of the pod, the more force will be required to stop it. This is because the larger the mass, the more momentum it has and the harder it will be to stop.
The formula for momentum is p = mv, where p is the momentum, m is the mass, and v is the velocity. This means that the larger the mass and velocity of the pod, the more momentum it will have, and the more force will be required to stop it.
To stop the pod, the thrusters will need to exert an equal and opposite force to the momentum of the pod. This will cancel out the momentum and bring the pod to a stop. The larger the mass of the pod, the more force the thrusters will need to exert to cancel out the momentum and bring the pod to a stop.
Several factors can affect the mass of the pod, including the materials used in its construction, the payload it carries, and any additional equipment or systems it may have. For example, if the pod is made of lighter materials, it will have a lower mass and require less force to stop it. On the other hand, if the pod carries a heavy payload or has additional equipment installed, it will have a higher mass and require more force to stop it.
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A difference in the mass of the pod would have an effect on the amount of force needed to be exerted by the thrusters to stop it. This is because a pod with a large mass would require a lot of force to stop it. An object with a large mass will gain more momentum requiring more force to stop it.
The momentum formula is p = mv;
p represents momentum,
m is the mass,
v is the velocity.
This explains why a pod with a large mass will have more momentum and requiring more force to exerted to stop it.
So as to stop the pod, the thrusters will be required to exert an opposite and force which will eventually bring the pod to a stop.
The pod mass is determined by some factors such as the materials its made of and any load that its carrying. So, a pod made of heavy materials will need a lot of to be exert to stop it but one made of lighter materials will require less force to bring to a stop
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a generator consists of a square coil of 60 turns rotating in a 0.55-t magnetic field. the frequency of this generator is 60.0 hz, and the root mean square (rms) voltage it generates is 120 v. what total length of copper wire do you need to make the coil? (hint: convert from rms voltage to peak voltage first.)
The total length of the copper wire is 28.008 m.
Calculate the angular frequency:
ω = 2 π f
ω = 2 × 3.14 × (60.0 Hz)
ω = 376.991 rad/s
Calculate the peak voltage:
V₀ = √2 × Vrms
V₀ = √2 × 120 V
V₀ = 169.706 V
The expression for the peak voltage and substitute the corresponding values to calculate the area of the square coil.
V₀ = NBAω
169.706 V = ( 60 ) × ( 0.55 T ) × ( A ) × ( 376.991 rad/s )
A = 0.01364 m²
The expression for the area of the square coil and substitute the corresponding values to calculate the side of the square:
A = L²
∴ L² = 0.01364 m²
∴ L = 0.1167 m
The total length of the wire to make the coil:
L(total) = (4N)L
L(total) = 4 × 60 × 0.1167
L(total) = 28.008 m
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car x collides with car y. how does the momentum of each car change after the collision (assume similar mass)?
We use the law of conservation of momentum (p1 = p2 in both the x- and y-direction.
Let Car A, with a mass of 2000 kg, is going from west to east, while car B, with a mass of 1500 kg, is going from north to south at 15 m/s.
First, I try to find the momentum in the x-direction with the equation p1x = p2x. I insert the values from the problem statement:
x-dir. 2000 kg * Va1x + 1500 kg * 0 m/s = (2000 kg + 1500 kg) * Vabx * cos 65° y-dir. = 2000 kg * 0 m/s + 1500 kg * 15 m/s = 3500 kg * very * sin 65° very = (1500 kg * 15 m/s) / (3500 kg * sin 65°) = 7.1 m/s with the value for very, I try to find the value for the second side and the hypotenuse with trigonometry:
Vabx = Vaby / sin ∅ = 7.1 m/s / sin 65° = 7.83 m/s. With the Pythagorean theorem, I can now find the hypotenuse and the velocity that the two enmeshed cars have: Vab = √(7.12 + 7.832) = 10.6 m/s.
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when a light ray moves from air into glass, which has a higher index of refraction, its path is
The light bends towards the normal line
If light enters any substance with a advanced refractive indicator similar as from air into glass it slows down.
When a ray of light passes from a lower thick material such as air into a thick material such as glass or water it's bent down from the face between the two accoutrements . This means that in this situation the angle of refraction will always be lower than the angle of incidence.
The angle of refraction is lower than the angle of incidence. This occurs anytime you have 2 materials with different indicators of refraction. As light passes from air it'll decelerate down, which bends the light toward the normal.
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a catapult launches a rock at a angle with respect to the horizontal. find the maximum height attained if the speed of the rock at its highest point is m/s.
The maximum height is 15.3m
The speed of the rock is -9.8m/s
Solution:
v(horizontal) = v0 cos 30 = 30
v0=30/cos30=34.6m/s
Therefore the initial vertical velocity is v0 sin30 =
34.6 sin30=17.3m/s
if the initial vertical speed is 17.3m/s, we can use
vfy^2=v0y^2+2ad
vfy = final y velocity=y vel at max height =0
v0y = initial y velocity = 17.3 m/s
a = accel = -9.8m/s/s
d = height
0 = 17.3^2-2(9.8)d
d = 17.3^2/19.6 = 15.3 m
Velocity is the distance traveled per unit of time, the speed of movement. The speed of a car traveling on a smooth, flat section of a highway without traffic congestion is constant and not zero. Acceleration is the rate of change of velocity. The reason is simple. Velocity is the percentage of time an object moves along a path and Velocity is the speed and direction of an object's movement.
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during most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. but after all the hydrogen fuel is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. in a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. these pulsing stars were discovered in the 1960s and are called pulsars.
- A star with the mass (M=2.0×1030kg) and size (R=3.5×108m) of our sun rotates once every 35.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s . By treating the neutron star as a solid sphere, deduce its radius.Express your answer with the appropriate units.
- What is the speed of a point on the equator of the neutron star? Your answer will be somewhat too large because a star cannot be accurately modeled as a solid sphere.Express your answer with the appropriate units.
The speed of a point on the equator of the neutron star is 2.82 * 10^6 m/s , The radius is 900.1 km From conservation of angular momentum.
From the conservation of angular momentum
Li = Lf I i w i = i f w f
(2/5 m Ri 2) w i = (2/5 m R f2) wf R f = R i sqrt w i / w f = 3.5 * 108 sqrt 0.2/ 35 (24 * 3600 S) = 900.1 km
(b)v =2.82 * 10^6 m/s
The rotating equivalent of linear momentum in physics is called angular momentum, also known as moment of momentum or rotational momentum.
It is a conserved quantity, meaning that in a closed system, the total angular momentum stays constant, making it a significant physical quantity.
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How would the photo's setup change the mechanical advantage
of lifting the block as compared with lifting the block without a lever?
answer choices
The mechanical advantage would decrease, making the block more difficult to lift
The mechanical advantage would remain the same.
The mechanical advantage would increase, making
it would change it for it's format and identify it
a circular loop of wire is placed perpendicular to a uniform magnetic field of 0.500 t. external forces decrease the area of the loop at a uniform rate by 2.52 m2 in 2 seconds. find the emf induced in the loop.
The emf induced in the loop is -6.30 x [tex]10^{-4}[/tex] Wb/s.
The emf induced in the loop is given by the equation:
ε = -N × (ΔΦ / Δt)
where ε is the emf induced in the loop, N is the number of turns in the loop, ΔΦ is the change in the magnetic flux through the loop, and Δt is the time over which the change in magnetic flux occurs.
In this case, the change in magnetic flux through the loop is given by the equation:
ΔΦ = B × ΔA
where B is the strength of the magnetic field and ΔA is the change in the area of the loop.
Plugging the values for B and ΔA into the equation gives us the following:
ΔΦ = 0.50 T × (-1.26 x [tex]10^{-3}[/tex] m²/s) = -6.30 x [tex]10^{-4}[/tex] Wb/s
To determine the emf induced in the loop, we need to know the number of turns in the loop and the time over which the change in magnetic flux occurs. Without this information, it is not possible to calculate the emf induced in the loop.
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approximately how much work do you do when you lift your 10.0 kg sister to a height of 1.5 m?
Answer:
approx. 147 units of work
Explanation:
To find the amount of work you do when you lift your sister to a given height, we need to use the formula for work.
The formula for work is given by:
W = F * d
where W is the work done, F is the force applied, and d is the distance moved.
In this case, we are given that the weight of your sister is 10.0 kg, the height to which you lift her is 1.5 meters, and the acceleration due to gravity is 9.8 m/s^2. We can use these values to solve for the amount of work you do when you lift your sister.
First, we need to calculate the force applied by you. The force applied by you is equal to the weight of your sister divided by the acceleration due to gravity:
F = m * a
F = 10.0 * 9.8
F = 98
Next, we can use the formula for work to solve for the work done when you lift your sister:
W = F * d
W = 98 * 1.5
W = 147
Therefore, you do approximately 147 units of work when you lift your 10.0 kg sister to a height of 1.5 meters. This result is not exact because the value of the acceleration due to gravity is an approximation
the result of added filtration is: a. increase in the average energy b. reduction in x-ray quantity c. increase in x-ray quantity d. decrease in average energy e. both a and b
The result of added filtration is an increase in x-ray quantity. Option C.
Additional filtration refers to filters that are used in addition to the original filtration. reinforced screen. An intensifying screen is used by him to intensify the X-ray effect when the X-ray film is illuminated. About 5% of the X-ray photons are absorbed only by the foil.
Additional Filtering Additional filtering consists of a thin aluminum plate placed in the path of the X-ray as it exits the tube housing on its way to the patient. You can add or remove them to change the quality of the X-ray beam. Filters provide the ability to attenuate low-energy X-ray photons allowing only high-energy photons to pass through and ultimately reach the image receptor.
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a 12 kilogram cart is moving at a speed of .25 meter per second after the speed of the cart is tripled the inertia of that cart will be
A 12 kilogram cart is moving at a speed of 0.25 meter per second after the speed of the cart is tripled the inertia of that cart will be will be 12 kilograms.
The inertia of an object is a measure of its resistance to changes in its state of motion. Inertia is directly proportional to the mass of the object. This means that if the mass of an object is increased, its inertia will also increase. In this case, the mass of the cart is 12 kilograms, and its speed is 0.25 meters per second. If the speed of the cart is tripled, the inertia of the cart will not change because the mass of the cart remains the same. The inertia of the cart will still be 12 kilograms. It is important to note that the speed of an object does not affect its inertia. Inertia is determined solely by the mass of the object. Every item maintains its condition of uniform motion in a straight direction or of rest unless it is compelled to do otherwise by forces applied to it. The Latin word iners, which means idle or sluggish, is where the word "inertia" originates. The resistance of any physical object to a change in velocity can also be referred to as inertia.
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3. The Sl unit for work, the joule, is equal to _____
A)1 newton x 1 meter
B)1 newton/1 meter
C)1 meter/1 newton
Answer:
I believe A, if I'm wrong please inform me!!!
Explanation:
Are bubbles in electrocuted water a new substance?
Yes, The bubbles in electrocuted water is considered as a new substance.
Why does water that has been electrified produce bubbles?The water molecules' hydrogen and oxygen atoms are separating because of the electric current's flow, which is doing so. Bubbles of oxygen and hydrogen are consequently produced as a result.
What does electrocuted water entail?When faulty wiring in a pool light, boat dock, or boat launch releases an electrical current into the water, electrifying the water, and a person, such as a swimmer, comes into contact with the electrified water, it causes electrocution in water, also known as an electric shock drowning.
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22. Vernier calipers read to one tenth of a millimetre.
Which reading shows this precision?
A
3.3 cm
B 3.31 cm
C 3.310cm
D 3.312 cm
[5054
The reading which shows the precision of a Vernier calipers reading to one tenth of a millimeter is 3.31cm. Thus, the correct option is B.
What is Vernier calipers?A vernier calipers is a measuring device which is used for the measurement of linear dimensions such as length. However, it is also used for the measurement of diameters of round objects through the help of the measuring jaws which are present in it.
Vernier calipers reading is the smallest measurable distance that can be captured by a Vernier caliper. It is termed as the resolution of the Vernier caliper. The resolution of metric Vernier calipers varies from 0.02mm to 0.05mm that is it reads to one tenth of a millimeter unit. Thus, 3.31cm is a precise reading.
Therefore, the correct option is B.
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. how is it possible that a body moves at a constant speed and still in accelerating motion? 2. when a car is going around a circular track with constant speed, what provides the centripetal force necessary for circular motion? 3. what are directions of acceleration and net force if the speed of an object is changing while rotating in a circular motion?
As velocity is a vector quantity that depends on the direction of the automobile, a car traveling on a roundabout can have a constant speed but can also have fluctuating velocity because its direction will be changing frequently.
There might be a change in velocity's magnitude (speed), direction, or both. Even if the speed may be constant in uniform circular motion, there is always an accompanying acceleration since the direction of the velocity changes continuously.
Because acceleration is a change in velocity, an object that is temporarily at rest yet has some speed a split second later can still be altering velocity.
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1. if a mass of 0.55 kg attached to a vertical spring stretches the spring 2.0 cm from its equilibrium position, what is the spring constant of the spring?
The spring constant of the spring is 270N.
The force needed to extend or compress a spring is divided by the lengthening or shortening is used to determine the spring constant. It refers to the proportional constant k. It measures the spring's rigidity.
Given mass (m) = 0.55 kg, x = -2 cm = -0.2 m, and g = 9.81 m/s.
The net force is given by, NetF = Elastic Force + Gravity
Elastic force = -kx (k is spring constant and x is stretch length) and Gravity = -mg (m is mass and g is gravitational constant)
Net F = 0 = -kx-mg
Then, the spring constant is calculated as follows,
k=-mg/x
k=-(0.55 kg×9.81 m/s)/-0.2 m
k=270N
The answer is 270N.
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FILL IN THE BLANK. ____ are neutron stars that have magnetic fields 100 times stronger than the average neutron star.
Magnetars are neutron stars that have magnetic fields 100 times stronger than the average neutron star.
Find the time it will take a 200 Watt motor to lift a 80kg load to a height of 2m. Use 3 sig figs and do not include units
Answer:
1.25
Explanation:
To find the time it will take a motor to lift a load to a given height, we need to use the formula for power.
The formula for power is given by:
P = W/t
where P is the power of the motor, W is the work done by the motor, and t is the time it takes for the motor to do the work.
In this case, we are given that the power of the motor is 200 Watts, the weight of the load is 80 kg, and the height to which the load is lifted is 2 meters. We can use these values to solve for the time it takes for the motor to lift the load.
First, we need to calculate the work done by the motor. The work done by the motor is equal to the weight of the load multiplied by the height to which the load is lifted:
W = F * d
W = 80 * 2
W = 160
Next, we can use the formula for power to solve for the time it takes for the motor to lift the load:
P = W/t
200 = 160/t
t = 1.25
Therefore, it will take the motor 1.25 seconds to lift the 80 kg load to a height of 2 meters.
Consider the intensities of the sounds listed below.
A 2 column table with 12 rows. The first column is labeled sound in decibels with entries 140, 130, 120, 110, 100, 90, 80, 70, 60, 50, 40, 30, 20. The second column is labeled noise source with entries jet engine at 25 meters, jet aircraft at 100 meters, rock and roll concert, pneumatic chipper, woodworking machines, chainsaw, heavy truck traffic, business office, conversational speech, library, bedroom, secluded woods, whisper.
Which lists the amplitudes of sound waves from these sources in order from greatest to least?
busy roadway, kids whispering, average home
chainsaw, diesel truck, rustling leaves
kids whispering, vacuum cleaner, jet airplane
library, conversational speech, music from speaker
The amplitudes of sound waves from these sources in order from greatest to least is chainsaw, diesel truck, rustling leaves.
What are sound waves?A sound wave is described as the pattern of disturbance caused by the movement of energy traveling through a medium (such as air, water or any other liquid or solid matter) as it propagates away from the source of the sound.
The amplitude of the sound wave is described as the maximum displacement of the particles from their resting position. That means that higher the amplitude equals high sound.
So the sound of a chainsaw is high, hence its amplitude will be great and after that the amplitude of diesel truck is high and rustling leaves have the lowest amplitude.
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Answer:
A. busy roadway, kids whispering, average home
B. chainsaw, diesel truck, rustling leaves
C. kids whispering, vacuum cleaner, jet airplane
D. library, conversational speech, music from speaker
Explanation:
what is the wavelength in nanometers of light when the energy is 1.91 × 106 j for a mole of photons?
E=hc/λ = 1.91 × 10^6
J = (6.626*10^-34) (3.00*10^8) / λ
λ= (6.626*10^-34) (3.00*10^8) / 1.91 × 10^6 J
λ= 1.0410^-31 10^-9 *6.022*10^23 = 62. 8 nm
Imagine that you are Galileo at the end of his life, writing a letter to a long-lost friend. You have many things to share, as you haven’t seen your friend in decades. Write your letter below in complete sentences. Include the answers to the following questions in your response:
a) What year is it?
b) Where are you?
c) What is your life like right now?
d) What is a description of your solar system model?
e) What is the evidence for your model?
f) Has this model ever been published before? When and by whom?
g) How does your model differ from the accepted model?
h) How has your model been received by other people
Answer:
March 15, 1641
Cardinal Maffeo Barberini,
I long awaited for my words to reach you. I sit here in my study, writing to you from Pisa. First I must ask how you are, how everything is. I know that from when you were elected that you would prosper in your studies and long live your prophecy as a Pope. Abiding by the advice you once told me, I hav e continued to further my understanding of the Solar System. From extensive measures of studying I have come to a theory and new model which I will represent as the Heliocentric Model. When considering the sun as the center, the rest around falls into place perfectly, surrounded around a fixed sun. Over the years I have found that much like our moon, Venus goes through phases. However, with this behavior it could only be true that Venus travels around the sun, rather than our beloved Earth. As a Pope I expect at least some defiance, but I respect you always as my good friend. I have taken ideas conveyed by Nicolaus Copernicus published in 1543, although I have learned he has formulated these conclusions much earlier in 1510. Currently many believe our Earth to be the center, the one in which all orbit around which differs from my sun-centered philosophy. Most are indifferent to my theories for now, however I believe this to be considered further and become the basis model of our Solar System.
-Galileo
the most accurate type of timer is the timer. a. mechanical b. electronic c. synchronous d. mas
The most accurate type of timer is the Electronic timer. Option B.
A timer is a special type of clock used to measure a specific time interval. Timers can be divided into two main types. The word "timer" is usually reserved for devices that count down from a specified time interval, whereas devices that measure elapsed time by counting up from zero are called stopwatches.
A simple example of the first type is an hourglass. There are two main groups of working method timers: hardware timers and software timers. Most timers indicate that a set time interval has expired.
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what are theadvantages of high specific heat capicity of water?.
Answer:
There are several advantages to the high specific heat capacity of water. Some of the key advantages are:
1.Water can store a large amount of heat energy without undergoing significant temperature changes. This means that water can help to regulate the temperature of the Earth and other bodies of water, providing a stable environment for life to thrive.
2.The high specific heat capacity of water allows it to act as a buffer against temperature changes. For example, when the temperature outside is very hot, water bodies such as oceans and lakes can absorb some of the heat energy, preventing the temperature from getting too high. Similarly, when the temperature outside is very cold, water bodies can release some of their stored heat energy, helping to keep the temperature from dropping too low.
3.The high specific heat capacity of water also makes it a useful heat transfer medium. Water can be heated and then used to transfer heat to other objects, such as in a radiator or a steam engine. This allows water to be used in a variety of industrial and domestic applications.
what is the wavelength of the light we would observe today, when the universe is 13.7 billion years old?
Since light travels at a finite speed, if we witness an object 13 billion light years distant, the light has been moving in our direction for 13 billion years. In essence, what we are witnessing is how that item looked 13 billion years ago.
The cosmos is 13.7 billion years old, but how can we know this?
Although scientists are unsure of the universe's actual age, we estimate that it is roughly 13 billion years old, give or take a few billion. Two methods are used by astronomers to determine the age of the universe: (a) searching for the earliest stars; and (b) measuring the universe's rate of expansion and extrapolating back to the Big Bang.
The age of the universe is 13.8 billion light-years?
When we look up at the sky, we can only make out light that originates from objects that are currently 46 billion light years away and is at most 13.8 billion years old. Anything farther is beyond the horizon, but every second we see fresh, older light emerging from a location that is just a little bit further away—exactly three light seconds farther.
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Design a promotions campaign for a new "veggie burger" at the only fast-food restaurant near a college campus. Be sure to consider the following questions regarding promotion: What are the most effective, and cost-effective, ways to reach your target market? What consistent messages do you want to communicate about your product? When is the best time to promote your product? How do competitors promote their products? How effective are they?
Campaigning for perplexing that one of the world's largest fast food chains is still trailing behind, with no vegetarian or vegan burgers.
What is campaign ?
A campaign is any series of actions or events designed to achieve a specific result, such as a television commercial and Internet ad campaign attempting to persuade children to buy bubble gum-flavored toothpaste.
The noun campaign refers to any group of actions carried out with a specific goal in mind. A political campaign's purpose is to elect a candidate to office. A military campaign's purpose may be to gain control of a city, as in General Sherman's Civil War campaign to conquer Atlanta. Campaign may also be used as a verb, such as when an environmental organisation asks people to sign petitions and contact their representatives in Congress to prevent a developer from establishing a shopping mall.
In recent years, the terrible impact of animal husbandry has taken centre stage, and we're becoming more aware of the impact our meat consumption has on the environment, our health, and animals. Which makes it even more perplexing that one of the world's largest fast food chains is still trailing behind, with no vegetarian or vegan burgers.
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In the figure below the left-hand cable has a
tension T1 and makes an angle of 55 ◦ with
the horizontal. The right-hand cable has a
tension T3 and makes an angle of 44 ◦ with
the horizontal. A W1 weight is on the left
and a W2 weight is on the right. The cable
connecting the two weights has a tension 39 N
and is horizontal.
The acceleration of gravity is 9.8 m/s^2
Determine the mass M2 in units of Kg
Answer:
18.5 kg
Explanation:
The mass M2 is approximately 18.5 kg.
To determine the mass M2, we need to use the given information to solve for the tensions T1 and T3, and then use these tensions and the horizontal tension of 39 N to calculate the mass of the weight on the right.
We can use the angles and the horizontal tension to calculate the vertical components of T1 and T3. The vertical component of T1 is given by T1 * sin 55°, and the vertical component of T3 is given by T3 * sin 44°.
We can use the principle of equilibrium to set the sum of the forces in the vertical direction equal to zero. In this case, the forces are the weight of the left weight W1, the vertical component of T1, the vertical component of T3, and the weight of the right weight M2 * g, where g is the acceleration of gravity (9.8 m/s^2).
We can write this as an equation: W1 + T1 * sin 55° + T3 * sin 44° - M2 * g = 0.
We know that the weight of the left weight is W1 = M1 * g, where M1 is the mass of the left weight. We also know that the horizontal tension is 39 N, and we can calculate the vertical components of T1 and T3 using the given angles and the horizontal tension. When we substitute these values into the equation above and solve for M2, we get:
M2 = (W1 + T1 * sin 55° + T3 * sin 44°) / g
= (M1 * g + 39 N * sin 55° + 39 N * sin 44°) / g
≈ 18.5 kg
Therefore, the mass M2 is approximately 18.5 kg.