power of the bulb = 40 watt
Briefing
Power: In physics, the term "power" refers to the rate at which a task is completed, or how much energy is used during the allotted time.
What is energy now?
In physics, energy refers to the ability to do a task. It may exist in different forms, including potential, kinetic, thermal, electrical, chemical, radioactive, and others.
Consequently, in light of the posed query:
2400 J of energy
60 seconds in a minute is time.
As a result, we know that Power = Energy/Time.
p = E/t p = (2400-/60) joules/sec
p=40 W
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An astronaut measure the period of a mass spring system on Earth. How would the period be affected if the astronaut measured the period of the same mass spring system on the moon? (Moon's gravity = 1/6 Earth's gravity.)
An astronaut measure the period of a mass spring system on Earth.
The period of a mass spring system on the moon would be longer than the period on Earth. This is because the period of a mass spring system is dependent on the square root of the ratio of the mass to the spring constant, and the acceleration due to gravity. Since the acceleration due to gravity on the moon is only 1/6th of that on Earth, the restoring force on the mass will be weaker, resulting in a longer period. Therefore, the astronaut would measure a longer period for the same mass spring system on the moon than on Earth.
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brief description about construction of mercury thermometer with figure
A system consists of two uncharged metal spheres, each suspended on an insulating string and connected to the other by a thin
conducting wire. A positively charged rod is brought near, but does not touch, the left sphere, and the sphere is attracted to the rod. Which
of the following is correct about the net charge on the right sphere as a result?
The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.
Electrostatic attractionSince the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.
The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.
According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.
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A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 13.5 m/s, and the man is initially 3.55 m above the level of the saddle. Find a - What must be the horizontal distance between the saddle and limb when the man makes his move? Find b - How long is he in the air?
(a) the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
(b) the man is in the air for approximately 0.843 seconds.
To determine the horizontal distance between the saddle and limb when the man makes his move, we need to consider the horizontal velocity of the man when he drops from the tree limb.
Given:
Speed of the horse (constant velocity), v = 13.5 m/s
Vertical distance between the limb and saddle, h = 3.55 m
a) To find the horizontal distance, we can use the formula:
horizontal distance = horizontal velocity × time
Since the man drops vertically, his initial horizontal velocity is zero. The only horizontal velocity he will have is due to the motion of the horse.
The time taken by the man to fall can be determined using the equation for free fall:
h = (1/2) × g × t²
Where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time.
Rearranging the equation, we get:
t = √(2h / g)
Substituting the given values:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Now, we can find the horizontal distance:
horizontal distance = v × t
horizontal distance = 13.5 × 0.843 ≈ 11.386 m
Therefore, the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
b) The time the man is in the air can be calculated using the same equation for free fall:
t = √(2h / g)
Substituting the given value of h:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Thus, the man is in the air for approximately 0.843 seconds.
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A negative lightning strike occurs when a negatively charged cloud discharges its excess electrons to the positively charged ground. If you observe a cloud-to-cloud lightning strike, what can you say about the charge on the area of the cloud struck by lightning?
1. The area of the cloud that was struck by lightning is neutral.
2. The area of the cloud that was struck by lightning had a positive charge.
3. The area of the cloud that was struck by lightning had a negative charge.
The area οf the clοud that was struck by lightning had a negative charge, sο, οptiοn (d) is cοrrect.
What is electrοns ?The negatively charged atοm's electrοns are respοnsible fοr this. An atοm's tοtal negative charge, which is prοduced by all οf its electrοns, cοunteracts the pοsitive charge οf the prοtοns in the atοmic nucleus.
What is electric charge?Prοtοns and electrοns, which functiοn as charge carriers, frequently carry bοth pοsitive and negative electric charges. By mοving charges, energy is prοduced. Charge—alsο referred tο as electric charge, electrical charge, οr electrοstatic charge—is a prοperty οf a unit οf matter in physics and is denοted by the letter q.
Therefοre, The area οf the clοud that was struck by lightning had a negative charge, sο, οptiοn (d) is cοrrect.
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Which of the following statements are true with regard to resistivity?
Resistivity is material property. It depends only on temperature. For the same material with different length and area, resistivity remains the same until temperature remains constant.
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What type of reaction is occurring when you activate an instant cold pack?
A. Endothermic, because energy is absorbed
B. Exothermic, because energy is released
O C. Endothermic, because energy is released
D. Exothermic, because energy is absorbed
Answer:
Endothermic, because energy is absorbed (A)
Explanation:
The reaction that take place in the instant cold pack causes the surroundings around it, including the bag that contains it. When the bag loses heat to the cold pack, the cold pack absorbs the heat, thereby causing the environment (the bag) to be cold.
Question #4
4. Anthony walks to the pizza place for lunch. He walk 4 km
east, he realized he passed it and then walked 1 km west.
What distance did he cover? What was his displacement?
Answer:
Distance 5 km, Displacement 3 km east
Explanation:
The distance covered by Anthony is 5 km, while his displacement is 3 km.
Distance and displacement:The distance is defined as the total length of space covered during motion between the starting point and end point, not necessarily a straight line. Whereas displacement is defined as the minimum distance between two points in space, that is a straight line.
Suppose, if you start from one point and walk for 100 meters then come back at the same point that you started your walk, you would have traveled 2 times 100 meters that is 200 meters. But your displacement will be zero because your starting point and the end point are the same.
The given question clarifies the difference between distance and displacement:
Since Anthony walks 4 km east and then walks 1 km west, the distance covered by him is:
distance = 4 + 1 = 5 km
but as he walks west, he comes closer to the starting point, and his displacement is the distance between the starting point and the end point.
displacement = 4 - 1 = 3 km
Referto the figure below for more information.
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How can we show that air can do work?
Air can do work when it exerts a force on an object and causes it to undergo displacement. The ability of air to do work is evident in various phenomena, such as wind pushing sails, fans moving objects, and air pressure powering pneumatic systems.
Air can do work through its ability to exert a force over a distance. Work is defined as the transfer of energy that occurs when a force is applied to an object and it undergoes displacement in the direction of the force. When air is in motion, it possesses kinetic energy and can exert a force on objects in its path, thus performing work.
To understand how air can do work, we can consider the example of a moving fan. When a fan is turned on, the blades start to rotate, creating a flow of air. As the air moves, it carries kinetic energy. When the moving air encounters an object, such as a piece of paper, the air molecules collide with the paper's surface and exert a force on it. This force causes the paper to move and displaces it from its initial position.
The work done by the air can be calculated using the equation:
Work = Force * Distance * cos(θ)
Where Force is the magnitude of the force exerted by the air, Distance is the displacement of the object, and θ is the angle between the direction of the force and the displacement.
In the case of air doing work on an object, the force exerted by the air is perpendicular to the direction of motion, resulting in θ = 90 degrees. Since cos(90) = 0, the equation simplifies to:
Work = Force * Distance * 0
Therefore, the work done by the air on the object is zero when the force exerted by the air is perpendicular to the displacement.
However, if the force exerted by the air is not perpendicular to the displacement, such as when blowing air at an angle to move an object, then work is performed. The air exerts a force on the object and causes it to move in the direction of the force, resulting in the transfer of energy.
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Conservation of energy is explained as a scientific law and not a _______ because it does not explain why energy is conserved
Answer:
Theory
Explanation:
Conservation of energy is explained as a scientific law and not a theory because it does not explain why energy is conserved.
A law is a the statement of a scientific fact. It is a product of repeated experiment and observation through time. Most laws do not explain the reason for the logic behind their premise.
A theory on the other hand provides an explanation for an observed phenomenon. Most theories are no immutable. They are often changed when new finds are reported or made.
Laws are immutable and they stand still.
A 20- kg and a 50-kg ball rest at the top of a ramp. Which statement best describes the potential energy of the balls?
Answer:The 50-kg has the greater potential energy because it has greater mass
Explanation:
As a roller coaster car crosses the top of a 40-m-diameter loop-the-loop, its apparent weight (the normal force) is the same magnitude as the car's weight. What is the car's speed at the top?
Answer:
40 because if it is the same weight then there is no weight to make the ride slower so it 40
Explanation:
A soccer ball is kicked with an initial horizontal velocity of 11 m/s and an initial vertical velocity of 17 m/s.
1)what is the initial speed of the ball?20.25 m/s
2)what is the initial angle 0 of the ball with respect to the ground? 57.09 degrees
3)what is the maximum height the ball goes above the ground? 14.74m
I need help with 4,5 and 6
4)How far from where it was kicked will the ball land?
5) what is the speed of the ball 2.5 second after it was kicked?
6)how high above the ground is the ball 2.5 seconds after it is kicked?
The answers are 4. The distance from where the ball was kicked is 38.06 meters, 5. The speed of the ball 2.5 seconds after it was kicked is 13.82 m/s, and 6. The ball is 21.88 meters above the ground 2.5 seconds after it is kicked.
4) To calculate the distance from where the ball was kicked, we need to find the time it takes to reach the ground. We can use the fact that the vertical displacement of the ball is zero at the highest point. Using the formula vf = vi + at, the time it takes to reach maximum height is t = vf / g where g is the acceleration due to gravity which is -9.8 m/s² since it is downward and vf is the final velocity which is 0 because the ball comes to rest at the highest point. t = 17 / 9.8 = 1.73 s. This means the total time for the ball to hit the ground is 2 x 1.73 = 3.46 s. Using the formula for horizontal distance traveled d = vt, we get d = 11 x 3.46 = 38.06 m. So, the distance from where the ball was kicked will be 38.06 meters.5) To calculate the speed of the ball 2.5 seconds after it was kicked, we need to find the horizontal and vertical components of the velocity of the ball at 2.5 seconds. The horizontal component is constant, so it will still be 11 m/s. To find the vertical component, we use the formula vf = vi + at where vi is initial velocity, a is acceleration due to gravity which is -9.8 m/s² and t is the time which is 2.5 seconds. vf = 17 + (-9.8 x 2.5) = -7.5 m/s. Since the ball is moving downward, the velocity is negative. Therefore, the speed of the ball 2.5 seconds after it was kicked is sqrt(11² + (-7.5)²) = 13.82 m/s.6) To calculate how high above the ground is the ball 2.5 seconds after it is kicked, we use the formula for the displacement of an object in the vertical direction y = vi*t + (1/2)*a*t² where vi is initial velocity, a is acceleration due to gravity which is -9.8 m/s² and t is the time which is 2.5 seconds. y = 17*2.5 + (1/2)*(-9.8)*(2.5)² = 21.88 m. So, the ball is 21.88 m above the ground 2.5 seconds after it is kicked.For more questions on speed
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Maria read on an internet blog that infrared light is dangerous to humans. According to the blog, infrared light exposure is responsivle for a number of detrimental effects in humans. Which of these can actually be caused by exposure to infrared light?
a-overheating
b-skin cancer
c-radiation sickness
d-memory less
Of the options listed, the only effect that can be caused by exposure to infrared light is overheating (option a).
Infrared light is a form of electromagnetic radiation that is invisible to the human eye but can be detected as heat. When exposed to high levels of infrared light, such as in close proximity to a powerful infrared source, it can lead to overheating of the body or objects. Skin cancer (option b) is not directly caused by infrared light. It is primarily associated with overexposure to ultraviolet (UV) radiation from the sun or artificial sources like tanning beds. UV radiation falls in the higher energy range of the electromagnetic spectrum, while infrared radiation has lower energy. Radiation sickness (option c) is caused by exposure to high-energy ionizing radiation, such as gamma rays or X-rays. Infrared light does not possess enough energy to cause ionization and is therefore not capable of inducing radiation sickness. Memory loss (option d) is not a known effect of exposure to infrared light. Memory loss can be attributed to various factors, such as neurological conditions, head injuries, or aging, but not specifically to infrared light exposure. In summary, while exposure to high levels of infrared light can lead to overheating, it does not cause skin cancer, radiation sickness, or memory loss.
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The two rods are now firmly attached together as in Figure 2.
Sketch and explain what would happen they are heated [2 marks) Fixed and Figure 2
Thermal equilibrium is attained and the both rods are now at the same temperature.
What is thermal equilibrium?Two bodies are said to have attained thermal equilibrium when the two bodies at the same temperature. It should be known that when two rods are firmly attached to each other heat flows from one rod to another.
As such, after some time, thermal equilibrium is attained and the both rods are now at the same temperature.
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1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point. What is the heat of fusion of the substance?
1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point , the heat of fusion of the substance is 548 joules .
What is heat of fusion ?Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.
Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.
q = m×∆Hf
q: Total change in heat energy (in Joules)
∆Hf: Heat of fusion of substance (in Joules per gram)
m: Mass of substance (in grams)
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Four long wires are each carrying 6.0 A. The wires are located
at the 4 corners of a square with side length 9.0 cm. All of
these wires are carrying current out of the page. The
magnetic field (in T) at one corner of the square is:
Answer:
\(B_T=2.0*10^-5[-\hat{i}+\hat{j}]T\)
Explanation:
To find the magnitude of the magnetic field, you use the following formula for the calculation of the magnetic field generated by a current in a wire:
\(B=\frac{\mu_oI}{2\pi r}\)
μo: magnetic permeability of vacuum = 4π*10^-7 T/A
I: current = 6.0 A
r: distance to the wire in which magnetic field is measured
In this case, you have four wires at corners of a square of length 9.0cm = 0.09m
You calculate the magnetic field in one corner. Then, you have to sum the contribution of all magnetic field generated by the other three wires, in the other corners. Furthermore, you have to take into account the direction of such magnetic fields. The direction of the magnetic field is given by the right-hand side rule.
If you assume that the magnetic field is measured in the up-right corner of the square, the wire to the left generates a magnetic field (in the corner in which you measure B) with direction upward (+ j), the wire down (down-right) generates a magnetic field with direction to the left (- i) and the third wire generates a magnetic field with a direction that is 45° over the horizontal in the left direction (you can notice that in the image attached below). The total magnetic field will be:
\(B_T=B_1+B_2+B_3\\\\B_{T}=\frac{\mu_o I_1}{2\pi r_1}\hat{j}-\frac{\mu_o I_2}{2\pi r_2}\hat{i}+\frac{\mu_o I_3}{2\pi r_3}[-cos45\hat{i}+sin45\hat{j}]\)
I1 = I2 = I3 = 6.0A
r1 = 0.09m
r2 = 0.09m
\(r_3=\sqrt{(0.09)^2+(0.09)^2}m=0.127m\)
Then you have:
\(B_T=\frac{\mu_o I}{2\pi}[(-\frac{1}{r_2}-\frac{cos45}{r_3})\hat{i}+(\frac{1}{r_1}+\frac{sin45}{r_3})\hat{j}}]\\\\B_T=\frac{(4\pi*10^{-7}T/A)(6.0A)}{2\pi}[(-\frac{1}{0.09m}-\frac{cos45}{0.127m})\hat{i}+(\frac{1}{0.09m}+\frac{sin45}{0.127m})]\\\\B_T=\frac{(4\pi*10^{-7}T/A)(6.0A)}{2\pi}[-16.67\hat{i}+16.67\hat{j}]\\\\B_T=2.0*10^-5[-\hat{i}+\hat{j}]T\)
When a space shuttle takes off, the chemical reactions of the fuel give the shuttle the kinetic energy to leave Earth's atmosphere as shown in the figure below. The kinetic energy of the space shuttle is less than the potential energy of the fuel used. Which statement best explains this idea?
A.) The potential energy is used to overcome Earth’s gravity.
B.) The potential energy is also converted to light, thermal energy, and sound energy.
C.) The potential energy must be consumed to make the fuel burn.
D.) The potential energy is destroyed by the warmth of the reaction.
Answer:a
Explanation:
Because its has to use tihs potential energy to overcome the atmosphere so the shuttle will not go back down
A monatomic ideal gas with volume 0.230 L is rapidly compressed, so the process can be considered adiabatic. If the gas is initially at 1.01 105 Pa and 3.00 102 K and the final temperature is 489 K, find the work done by the gas on the environment, Wenv.
Answer:
The value is \(W = - 17.53 \ J\)
Explanation:
From the question we are told that
The volume is \(V = 0.230 \ L = 0.230 *10^{-3} \ m^{-3}\)
The initial pressure is \(P_1 = 1.01105 \ Pa\)
The initial temperature is \(T_1 = 3.00*10^2 \ K\)
The final temperature is \(T_2 = 489 \ K\)
Generally for an adiabatic process the workdone is mathematically represented as
\(W = - \Delta U\)
Here \(\Delta U\) is the internal energy of the system which is mathematically represented as
\(\Delta U = \frac{3}{2} * nR \Delta T\)
So
\(W = - \frac{3}{2} * nR \Delta T\)
Generally from ideal gas equation we have that
\(n = \frac{P_1V }{ RT_1 }\)
Here R is the gas constant with value \(R = 8.314 J/mol\cdot K\)
So
\(n = \frac{1.01 *0^{5} * 0.230 *10^{-3}}{ 8.314 * 3.0*10^2 }\)
=> \(n = 0.009313 \ mol\)
So
\(W = - \frac{3}{2} * 0.009313 * 8.314 * (451 - 3.00*10^2)\)
=> \(W = - 17.53 \ J\)
Sarah took 204 seconds to bicycle to their grandmother's house, a total of
430 meters. What was their velocity in m/s?
Answer:
2.1m/s towards your grandmother's house
Explanation:
Given parameters:
Time taken = 204s
Distance = 430m
Unknown:
Velocity = ?
Solution:
The velocity is determined by:
Velocity = \(\frac{displacement}{time}\)
Velocity = \(\frac{430}{204}\) = 2.1m/s towards your grandmother's house
If the volume of the balloon is 500 m3m3 and the surrounding air is at 15.0 ∘C∘C, what must the temperature of the air in the balloon be for it to lift a total load of 290 kgkg (in addition to the mass of the hot air)? The density of air at 15.0 ∘C∘C and atmospheric pressure is 1.23 kg/m3
Answer:
Temperature of the air in the balloon = 272°C
Explanation:
Given:
Volume of balloon = 500 m³
Air temperature = 15° C = 273 + 15 = 288 K
Total weight = 290 kg
Density of air = 1.23 kg/m³
Find:
Temperature of the air in the balloon
Computation:
Density of hot air = Density of air - [Total weight / Volume of balloon]
Density of hot air = 1.23 - [290 - 500]
Density of hot air = 0.65 kg/m³
[Density of hot air][Temperature of the air in the balloon] = [Density of air][Air temperature ]
Temperature of the air in the balloon = [(1.23)(288)]/(0.65)
Temperature of the air in the balloon = 544.98
Temperature of the air in the balloon = 545 K
Temperature of the air in the balloon = 545 - 273 = 272°C
Temperature of the air in the balloon to lift a total load of 290 kg is 272°C.
What is temperature?Temperature is the degree of hotness or coldness of the object.
Given is Volume of balloon = 500 m³, Air temperature = 15° C = 273 + 15 = 288 K
Total weight = 290 kg and Density of air = 1.23 kg/m³
Density of hot air = Density of air - [Total weight / Volume of balloon]
Density of hot air = 1.23 - [290 - 500]
Density of hot air = 0.65 kg/m³
Density is inversely proportional to the temperature.
[ρ hot air] x [T air in the balloon] = [ρ air] x [T air ]
Putting the values, we get temperature of the air in the balloon is
T air = [(1.23)(288)]/(0.65)
T air in Kelvin is 545 K
T air in Celcius is 545 - 273 = 272°C.
Thus, the temperature of the air in balloon is 272°C.
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What type of force is jumping a trampoline?
Answer:
Tension
Explanation:
A man is standing at a distance of 2m from a large plane mirror.
he walks 1m farther away from the mirror.how far is his image now from him
Answer: 3m
Explanation: If he is already 2m away from the mirror then if he walks away 1m then it would equal out to 3. You could also add 1 to 2 so you could get the same results.
1) When net forces are not equal on an object, the object moves in the direction of:
Answer:
When two unequal forces act in opposite directions on an object, the net force is the difference of the two forces. In the example below, the net force would be 50 Newtons (500 - 450 = 50), and the object would move to the left because the force pulling to the left is greater.
Vocabulary: energy, gravitational potential energy, heat energy, kinetic energy, law of conservation of energy, specific heat capacity Prior Knowledge Questions (Do these BEFORE using the Gizmo.) A battery contains stored energy in the form of chemical energy. What are some examples of devices that are powered by batteries
Answer:
?
Explanation:
A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done? (1 point)
O 18.2 J
O 705 J
O OJ
O 24,600 J
Answer:OJ
Explanation: it ok you can trust me (-_-)
Answer:
(Question) What is the mathematical relationship between force and work?
(Answer) W=F×d
(Question) If W=F×d, which of the following equations shows work being calculated using the correct units?
(Answer) 113 J=(17.4 N)×(6.51 m)
(Question) A force of 57.1 Newtons is applied for 0.977 meters; what work was done on the object?
(Answer) 55.8 J
(Question) A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done?
(Answer) 0J
(Question) A 8.43-Newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?
(Answer) 44.6 m
Explanation:
just did the quick check UwU
A concave mirror in an amusement park has a radius of curvature of 4.0 m. A child stands in front of the mirror so that she appears 3.0 times taller than her actual height. a) If the image is upright, how far is she standing from the mirror? Where will his image be formed? 1.3 m b) Locate image using graphical method.
The distances of the image and object from the mirror and the focal length are represented by the variables v, u, and f, respectively, in the mirror.
briefly:-
formula 1/v+1/u=1/f.
Positive magnification exists. ⇒M
M=−vu=3⇒v=−3u.
The radius of curvature is 4 m with a 2 m f-value.
1/v+1/u=1/f,
1/3u+1/u=12, and 4u=12u m.
u= 1/3 m
A mirror at a theme park is it convex or concave?Through the use of convex and concave surfaces, a fun-house mirror at a theme park distorts an image. The appearance of the image can be either significantly magnified or diminished.
What is the mathematical formula for the magnification a concave mirror produces?1/f = 1/v+1/u; Here, u and v represent the distances of the object and its image from the mirror's pole. Additionally, the principal focus distance from the pole is the focal length (f).
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(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?
Answer:
Explanation:
according to the graph at B the potential energy of the particle is 2J
therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.
\(E_{k} =1/2mv^{2}\)
2J= 1/2*1/2kg*v^2
8=v^2
v= 2√2 ms-1
An ideal transformer has 50 turns in the primary and 500 turns in the secondary. An input of 12 V will produce an output ofA) 12 V.B) 120 V.C) 1200 V.D) none of the above.
On an ideal transformer, the ratio between the number of turns in the primary and the secondary is the same as the ratio between the input and output voltage:
\(\frac{N_{\text{ in}}}{N_{\text{out}}}=\frac{V_{\text{ in}}}{V_{\text{out}}}\)Since the secondary has 10 times more turns than the primary, then the output voltage must be 10 times greater than the input voltage.
Therefore, the answer is:
\(120V\)How much charge is on a segment ds ?
Express your answer in terms of some, all, or none of the variables Q, a, θ, dθ, and the constant π.
The charge on the segment ds is \(dQ=\frac{Q}{\pi a}ds=\frac{Q}{\pi a}ad\theta= \frac{Q}{\pi} d\theta\)
As Q is uniformly distributed over semicircel so,charge density
\(\lambda=\frac{Q}{s}=\frac{Q}{\pi r}\)
so in ds region charge: \(dQ=\frac{Q}{\pi a}ds=\frac{Q}{\pi a}ad\theta= \frac{Q}{\pi} d\theta\)
In physics, a uniformly distributed charge refers to a charge distribution where the charge density is constant throughout the given volume or surface. In other words, the amount of charge per unit volume or unit area is the same everywhere within the region.
Uniformly distributed charge is an important concept in electrostatics, which is the study of the behavior of electric charges at rest. The electric field produced by a uniformly charged object has a particularly simple form, and this makes it easier to calculate the electric field at any point outside the charged object using Gauss's Law.
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the complete question is:
What is the charge on a segment ds?
Express your answer in terms of some, all, or none of the variables Q, a, θ, dθ, and the constant π.