The forward force of inertia is what pushes your friend forward during the rapid stop of the train.
Inertia is the tendency of an object to resist changes in its state of motion, which means that your friend's body wants to continue moving forward with the same speed and direction as the train. When the train suddenly stops, the forward force of inertia causes your friend's body to keep moving forward until another force, such as the friction between their feet and the train's floor, stops them. Gravity and the normal force are also present, but they do not directly contribute to your friend's forward motion during the stop.
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for the light bulb to produce the aame illuminace with the candle to the screen, the luminous intensity of the bulb is _______ that of the candle?
Answer:
9 times
Explanation:
luminosity decreases to the square of the distance
what is one limitation of using a saltwater aquarium to model the ocean?
A. It can show only a small part of the actual ocean.
B. It can show how different ocean animals interact with each other.
C. It can show how certain plants grow in the ocean.
D. It can show how light affects ocean organisms.
Using a saltwater aquarium to model the ocean has limitations, such as showing only a small part of the actual ocean and being unable to replicate the vastness and complexity of the ocean ecosystem.
Explanation:One limitation of using a saltwater aquarium to model the ocean is that it can only show a small part of the actual ocean. Since an aquarium is confined and limited in size, it cannot realistically replicate the vastness and complexity of the ocean ecosystem. For example, it may not have the space to accommodate large marine animals like whales or the turbulent currents that exist in the open ocean. Therefore, it is important to recognize that while a saltwater aquarium can provide some insights into the ocean, it cannot fully capture the dynamic nature and diverse interactions found within the entire ocean ecosystem.
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If the gradient of an Extension versus Force graph was found to be 5.6, then what is the value of the spring constant? *
1 point
a).2.8
b).0.18
c.)5.6
d).11.2
Answer:
5.6
Explanation:
F=kx is the formula for spring force. If Extension versus Force was graphed, a linear relation would appear, where the slope is the k value, aka the spring constant.
suppose a person who has a near point of 49.5 cm is trying to view a book at a distance of 25.0 cm. what is the focal length (with correct sign) of a lens that would take the book and make an image on the same side of the lens as the book a distance 49.5 cm from the lens?
The focal length of the lens, with the correct sign, that would take the book and create an image on the same side of the lens at a distance of 49.5 cm from the lens is approximately +50.51 cm. The positive sign indicates a converging lens (convex lens) that brings parallel rays of light together.
To determine the focal length of the lens that would create an image of the book on the same side of the lens, we can use the lens formula:
1/f = 1/v - 1/u,
where:
f is the focal length of the lens,v is the image distance from the lens,u is the object distance from the lens.In this case, the person's near point is considered as the object distance (u), which is 49.5 cm. The distance at which the book is held is 25.0 cm, which is the image distance (v). We need to find the focal length (f) of the lens.
Plugging in the values into the lens formula:
1/f = 1/v - 1/u,
1/f = 1/25 - 1/49.5.
Calculating the right side of the equation:
1/f = (49.5 - 25) / (25 * 49.5),
1/f = 1 / (49.5 * 25/ (49.5 - 25)),
1/f = 1 / (1237.5 / 24.5),
1/f = 24.5 / 1237.5,
1/f ≈ 0.0198.
Now, to find the focal length (f), we take the reciprocal of 0.0198:
f ≈ 1 / 0.0198,
f ≈ 50.51 cm.
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What happens to the mass of an object when the parts are rearranged?
Answer:
The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.
Hope it helps!!!
Answer:
their will be no change in this..
The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.
jordan has a mass of 65kg and carlos has a mass of 78.0kg. jordan is running at 5.75m/s when he is tackled by carlos who is running in the opposite direction. after the collision of both players are at rest. calculate their velocity before the collision.
Given
mj = 65 kg
mc = 78 kg
voj = 5.75 m/s
after collision
vfj = vfc = 0 m/s
Procedure
The law of momentum conservation can be stated as follows. For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
\(\begin{gathered} p_o=p_f \\ m_jv_{0j}-m_cv_{0c}=0 \\ m_jv_{0j}=m_cv_{0c} \\ v_{0c}=\frac{m_jv_{0j}}{m_c} \\ v_{0c}=\frac{65kg*5.75m/s}{78kg} \\ v_{Oc}=4.8m/s \end{gathered}\)
The velocity before the collision would be 4.8m/s
how many teeth shows signs of decay?
Answer:
what do you mean
Explanation:
Calculate the momentum of the following objects:
a. 75kg speed skater moving forward at 16m/s
b. 135kg ostrich running north at 16.2m/s
c. 0.8 kg kitten running to the left at 6.5 m/s
Answer:
momentum(M in Kgm/s)=mass(m in Kg) *velocity(v in m/s)
a) M=m*v. m=75kg,v=16 m/s
M =75*16
M=1200Kgm/s
b)M=135*16.2
M=2187Kgm/s
c)M = 0.8*6.5
M=5.2Kgm/s
Hope it is helpful?
The momentum of an object having mass
a) 75kg speed skater moving forward at 16m/s is 1200 kg.m/s
b) 135kg ostrich running north at 16.2m/s is 2187 kg.m/s
c) 0.8 kg kitten running to the left at 6.5 m/s is 5.2 kg.m/s
What is momentum ?Momentum is defined as mass times velocity of body. it is denoted by p and its SI unit is Kg.m/s. It has both magnitude and direction. it is a vector quantity.
i.e. p = mv
a) Given,
mass m = 75Kg
velocity v = 16m/s
momentum p = 75× 16 = 1200 kg.m/s
b) Given,
mass m = 135Kg
velocity v = 16.2m/s
momentum p = 135×16.2 = 2187 kg.m/s
c) Given,
mass m = 0.8Kg
velocity v = 6.5m/s
momentum p = 0.8×6.5 =5.2 kg.m/s
Hence momentums of a), b) and c) are 1200 , 2187 and 5.2 kg.m/s respectively.
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The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport. 270 256 266 284 274 275 266 258 271 281
The amount of time spent in the air for each of the 10 flights that were chosen at random between San Francisco and Washington Dulles airport ranged from 256 to 284 minutes.
The record for the smallest amount of time spent in the air is 256 minutes, while the greatest amount of time is 284 minutes. The remaining flight times range from 266 minutes to 275 minutes in total duration.
The length of time spent in the air for each flight is around 269.1 minutes on average. These times reflect the amount of time spent in the air by each flight throughout the travel between San Francisco International Airport and Washington Dulles International Airport.
It is essential to keep in mind that the actual duration of a flight can be affected by a variety of circumstances, including the weather, the amount of air traffic, and the kind of aircraft.
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If you could repeat the lab and make it better, what would you do differently and why? There are always ways that labs can be improved. Now that you are a veteran of this lab and have experience with the procedure, offer some advice to the next scientist about what you suggest and why. Your answer should be at least two to three sentences in length.
Answer:
I suggest that you recheck your answers multiple times and make sure that they are making sense. Also I think that you should Study the organisms very well and you should be careful when making observations so that you really are sure that the organism has 4 wings and not only 2 wings(for example).
Explanation:
I hope this answers your question
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Optimization With Calculus: Exercise >If TC = 36,000 + 200Q + 0.4Q², find ➤ (1) Q at which AC is optimized! > (2) Determine whether this is achieved at a minimum or a maximum AC!
AC is at a minimum at Q = 300.
To find the optimized value of Q, we have to find the derivative of AC with respect to Q and equate it to zero.So, differentiate the AC equation with respect to
Q.d(AC)/d(Q) = -36000/Q² + 0.4= 0
Thus, -36000/Q² + 0.4 = 0
Solving the above equation for Q, we get
Q² = 36000/0.4Q² = 90000Q = 300 (∵ Q must be positive)
Therefore, the value of Q at which AC is optimized is Q = 300.
Now, we need to check whether it is a minimum or a maximum.
To do that, we need to find the second derivative of AC with respect to
Q.d²(AC)/d(Q²) = 72000/Q³
Thus, d²(AC)/d(Q²) > 0 (∵ Q is positive)
Therefore, AC is at a minimum at Q = 300.
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Tip speed ratio is a concept used in association with wind turbines. a) Explain how it is defined why it is important b) How the operation of wind turbine is optimized when tip speed ratio changes
The Tip Speed Ratio (TSR) is the ratio of the speed of the wind turbine blade to the wind speed. It is defined as the speed of the blade tips divided by the wind speed and is represented by λ.
The Tip speed ratio is defined as the ratio of the wind speed at the tips of the turbine blades to the wind speed. The ratio is used to compare the performance of various wind turbines. The performance of the wind turbine is directly related to the tip speed ratio. This ratio is important as it helps in determining the amount of energy that can be harvested from the wind.
It is also important because it is used to measure the efficiency of a wind turbine. The higher the tip speed ratio, the more efficient the turbine is in capturing the energy from the wind.b) The operation of the wind turbine is optimized when the tip speed ratio changes. The tip speed ratio can be changed by altering the rotational speed of the blades, the length of the blades, or the wind speed. When the tip speed ratio is optimized, the wind turbine can operate at its maximum efficiency.
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A wave has a velocity of 24 m/s and a frequency of 4.3 Hz. What is the wavelength of the wave? (type your answer including your units.
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a wave with a frequency of 4.3 Hz and a velocity of 24 m/s is 5.581 m.
WavelengthWavelength is the distance between two points corresponding to the same phase in two consecutive waves. It is expressed in units of length (m).
FrequencyFrequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Propagation speedThe propagation speed is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
Wavelength of the wave in this caseIn this case, you know:
v= 24 m/sf= 4.3 Hzλ= ?Replacing in the definition of propagation speed:
24 m/s= 4.3 Hz× λ
Solving:
λ= 24 m/s÷ 4.3 Hz
λ= 5.581 m
In summary, the wavelength of the wave is 5.581 m.
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max (15 kg) and maya (12 kg) are ice-skating on a frozen pond. when max is standing on the shore, he throws a 1.5-kg snowball at maya, who is standing at the center of the pond. maya catches the snowball and she and the snowball move away from the shore at 2.0 m/s. how fast was the snowball moving right before maya caught it?
The speed of the snowball before Maya caught it was 104 m/s.
According to the law of conservation of momentum, the sum of the initial momenta will be equal to the sum of the final momenta.
Mass of Max = 15 kg
Mass of Maya = 12 kg
Mass of Snowball = 1.5 kg
Now, using the law of conservation of momentum, we have
The momentum of Max + Momentum of Snowball = Momentum of Maya + Momentum of Snowball
Initial Momentum of Max = 0 (as Max is standing on the shore)
The momentum of Snowball = mv (where m is the mass of the snowball and v is the velocity of the snowball)
The momentum of Maya = mv (where m is the mass of Maya and v is the velocity of Maya with snowball)
Final Momentum of Snowball = (m + m) × v
Now putting these values, Initial momentum = 0 + 1.5 × vi = 1.5vi
Final momentum = 15 × u + 12 (2 u) = 39u (where u is the velocity of Maya with snowball after catching)
Initial Momentum = Final Momentum 1.5vi = 39u
We can write u = 2m/s
Thus putting the value of u, we can calculate the initial velocity of the snowball.
vi = u × (39 / 1.5) = 104 m/s
Thus, the speed of the snowball before Maya caught it was 104 m/s.
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true or false t-1 cables cannot utilize straight through cables using the same wiring scheme as lan patch cables.
Answer:
True
Explanation:
cables cannot utilize straight through cables using the same wiring scheme as LAN patch cables. A bus topology WAN is often the best option for an organization with only a few sites and the capability to use dedicated circuits.
True. T-1 cables are not designed to utilize the same wiring scheme as LAN patch cables. T-1 cables are specifically used for transmitting data at a high speed over long distances, typically between different locations. They require a special wiring scheme that is different from the standard wiring used for LAN patch cables.
Straight-through cables, on the other hand, are used for connecting devices within the same network and utilize the standard wiring scheme. Attempting to use a straight-through cable with a T-1 connection can result in poor connectivity or even damage to the equipment. Therefore, it is essential to use the appropriate cable for the specific type of connection.
True. T-1 cables cannot utilize straight-through cables using the same wiring scheme as LAN patch cables. T-1 cables require a different wiring scheme known as a T1 crossover, which ensures proper transmission of data signals. In LAN patch cables, straight-through wiring is commonly used for connecting devices with different functionalities, such as connecting a computer to a switch. However, in T-1 connections, the crossover wiring allows proper communication between devices, like routers and CSU/DSU units, which have identical pin configurations. Therefore, it is essential to use the correct wiring scheme in T-1 cables to maintain reliable and efficient data transmission.
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It is quite common for a solid to change from one solid state structure to another at a temperature below its melting point. For example, sulfur undergoes a phase change from the rhombic crystal structure to the monoclinic form at 95.30 ˚C. Assuming thatΔH for this phase change is 0.226 kJ/mol, calculate ΔS for this phase change.
The change in entropy (ΔS) for this phase change of sulfur is 0.000613 kJ/(mol·K).
The change in entropy (ΔS) for the phase change of sulfur from the rhombic crystal structure to the monoclinic form at 95.30 ˚C can be calculated using the equation:
ΔS = ΔH / T
Given ΔH = 0.226 kJ/mol and the temperature is 95.30 ˚C = 368.45 K, we can substitute these values into the equation:
ΔS = 0.226 kJ/mol / 368.45 K = 0.000613 kJ/(mol·K)
The change in entropy (ΔS) is determined by dividing the enthalpy change (ΔH) by the temperature (T) in Kelvin. In this case, the enthalpy change (ΔH) is given as 0.226 kJ/mol, and the temperature (T) is 95.30 ˚C, which is converted to 368.45 K. By substituting these values into the equation, we can calculate the change in entropy (ΔS) to be 0.000613 kJ/(mol·K). This represents the increase in the randomness or disorder of the system as it undergoes the phase change from the rhombic crystal structure to the monoclinic form.
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How do simple
machines magnify
forces?
Answer:
Motion at one end of the beam results in motion at the other end in the opposite direction.
Explanation:
The location of the fulcrum can magnify (or reduce) the force applied at one end at the expense (or advantage) of the distance over which the other end travels. Sorry if I get this wrong! I am in 5th grade. ♥
Which of the following surfaces eliminates spherical aberration from a mirror? a. A diffuse surface b. A hyperbolic surface c. A planar surface d. A paraboloidal surface e. A spherical surface
To eliminate spherical aberration from a mirror, a paraboloidal surface is used, as it allows for the focusing of parallel rays of light to a single point.
Spherical aberration is an optical imperfection that occurs in spherical mirrors or lenses, causing parallel rays of light to not converge at a single focal point, resulting in blurred or distorted images.
A paraboloidal surface, which is a portion of a parabola, can eliminate this aberration. Due to its unique shape, a paraboloidal mirror can accurately focus parallel rays of light to a single point, providing a sharp and clear image. In contrast, surfaces such as a diffuse surface, a hyperbolic surface, a planar surface, or a spherical surface do not inherently eliminate spherical aberration.
While hyperbolic surfaces can correct other aberrations, the paraboloidal surface is specifically designed to eliminate spherical aberration.
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Technological design leads to the development and innovation of new technologies.
Which statement represents innovation?
O Solar panels have increased in efficiency over the past 20 years.
O The Sun is the primary source of energy for the solar system
O Previous models of a type of car have fewer engine problems.
O Natural selection ensures that only the fittest survive.
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
Because if efficiency have increased other technologies will be discovered
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
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Create 10 questions regarding how physical health affect social media .
They should be directed to
GEN Z
MILLENNIALS
& GEN X
for example : what impact do you think social media has had on you physically?
Physical health can have a critical effect on social media utilization and behaviour. Individuals with way better physical well-being may have more vitality and inspiration to lock in with social media.
Generally, physical well-being can impact the recurrence and nature of social media utilization, as well as the passionate and mental impacts it has on people. Here are few questions regarding how physical health affect social media-
GEN Z:
Do you think social media utilize has influenced your physical wellbeing adversely?Have you ever experienced physical side effects, such as migraines or eye strain, from investing much time as well on social media?Do you think social media has contributed to your need of physical movement?How do you adjust the utilize of social media and physical work out in your day-by-day schedule?MILLENIALS:
How has social media utilize influenced your physical wellbeing over time?Have you ever experienced rest unsettling influences as a result of social media utilize some time recently bed?How do you oversee your screen time to guarantee it doesn't affect your physical wellbeing adversely?Do you are feeling like social media has influenced your eating propensities or body picture in any way?GEN X:
How do you guarantee that your utilize of social media does not adversely affect your physical wellbeing?Have you ever experienced torment or distress from destitute pose whereas utilizing social media?Have you ever utilized social media as a instrument to move forward your physical wellbeing, such as following wellness or sustenance?How do you adjust the utilize of social media and other physical exercises or pastimes?To learn more about physical health,
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What is the speed of a wave that has a frequency of 220 Hz and a wavelength
of 0.39 m?
A. 564 m/s
OB. 85.8 m/s
OC. 0.01 m/s
D. 0.002 m/s
Answer:
B 85.8m/s
Explanation:
frequency(Hz) = 220
wavelength(m) = 0.39
formula for Speed of a wave
Speed = Wavelength x Frequency
speed = 0.39 × 220
speed = 85.8m/s
i hope this helped
Answer: B. 85.8 m/s ✅
Explanation: The speed of a wave can be calculated using the equation:
Velocity = Frequency * Wavelength
Given that the frequency of the wave is 220 Hz and the wavelength is 0.39 m, we can plug these values into the equation:
Velocity = 220 Hz * 0.39 m
The speed of the wave is 85.8 m/s or approximately 309 km/h or 192 mi/h ✅
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what do you do if your trying to use wires for your cart and the hole in the middle coes all the way through
It's essential to ensure that the wire is securely in place and protected from any potential damage or interference.
If you are trying to use wires for your cart and the hole in the middle goes all the way through, you can do the following:
Use a grommet: This is a protective ring that can be inserted into the hole to prevent the wires from getting damaged by the edges of the hole.
Secure the wires: Use cable ties or clips to keep the wires in place, ensuring they don't slide through the hole or get tangled.
Use a spacer: A spacer can be placed inside the hole to partially fill it, allowing the wires to pass through without falling out.
Insert a Grommet: If the hole in the cart has sharp edges that could damage the wire insulation, you can insert a grommet. A grommet is a rubber or plastic ring that can be placed inside the hole to protect the wire and provide a snug fit.
Use Adhesive or Sealant: If the wire is passing through the hole in a stationary or fixed position, you can use adhesive or sealant to secure the wire in place. This can help fill any gaps or provide additional stability.
Modify or Repair the Cart: Depending on the specific situation, you may consider modifying or repairing the cart to accommodate the wire properly. This could involve using plugs, inserts, or creating a new opening with the appropriate size.
If you are unsure or need assistance, it is advisable to consult a professional or someone with expertise in wiring or cart modifications to ensure a safe and reliable setup.
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he key personal decisions that can influence your personal safety while exercising are __________.A.making sure to replace lost fluids before, during, and after exerciseB.preparing for exercise in extreme temperaturesC.choosing when, where, and how to exerciseD.all of the abovePlease select the best answer from the choices provided.ABCD
The best answer is D. all of the above. Each of the provided options plays a crucial role in influencing personal safety while exercising.
A. Making sure to replace lost fluids before, during, and after exercise is important for maintaining hydration and preventing dehydration. During exercise, the body loses fluids through sweating, and it's essential to replenish those fluids to avoid adverse effects on health and performance. Dehydration can lead to dizziness, fatigue, muscle cramps, and even heat-related illnesses. By prioritizing fluid replacement, individuals can help ensure their personal safety during exercise.
B. Preparing for exercise in extreme temperatures is another important consideration for personal safety. Exercising in extreme heat or cold conditions can pose risks to health. In hot weather, it is crucial to take precautions such as exercising during cooler times of the day, wearing appropriate clothing, staying hydrated, and taking breaks in shaded areas. Similarly, in extremely cold weather, individuals should dress in layers, protect exposed skin, and be aware of the signs of frostbite or hypothermia. By being mindful of extreme temperatures and taking necessary precautions, individuals can safeguard their well-being during exercise.
C. Choosing when, where, and how to exercise is a key personal decision that can impact personal safety. Factors such as the time of day, location, and type of exercise can influence safety levels. For instance, exercising in well-lit areas, avoiding isolated or unsafe neighborhoods, and being aware of one's surroundings can reduce the risk of accidents or encounters with potential hazards. Additionally, selecting appropriate exercise activities that match one's fitness level and considering any pre-existing medical conditions or physical limitations are important for personal safety.
By considering all of the above factors and making informed decisions, individuals can significantly enhance their personal safety while exercising. Each option mentioned is crucial in its own way, addressing different aspects of safety, such as hydration, environmental conditions, and exercise planning. Thus, selecting "D. all of the above" is the most appropriate answer, as it encompasses the key personal decisions that contribute to personal safety during exercise.
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What happens to the average kinetic energy of the molecules in a pot of water when it is heated on a stove?
Answer:
Explanation: the average kinetic energy of the molecules in a pot of water when heated on a stove will go up or increase according to the kinetic theory of heat. The kinetic theory of heat correlates an increase in temperature with the increase of kinetic energy, therefore, if temperature increases, so will the kinetic energy.
Answer:
The molecules go faster.
Explanation:
The hotter the water is the moer faster the water molecules go.
the conducting box in the figure (figure 1)has been given an excess negative charge. the surface density of excess electrons at the center of the top surface is 3.00×1010 electrons/m2 . What is the electric field strengthE_1at point 1?
The electric field strength at point 1 (E₁) is approximately 3.39 × 10^21 V/m.
How to calculate the electric field strength at point 1 (E₁)?To calculate the electric field strength at point 1 (E₁), we can use Gauss's law. Gauss's law states that the electric field passing through a closed surface is proportional to the net charge enclosed by that surface.
In this case, we have a conducting box with an excess negative charge. The surface density of excess electrons at the center of the top surface is given as 3.00 × 10^10 electrons/m².
First, let's consider a Gaussian surface enclosing the center of the top surface of the box. Since the excess charge is distributed only on the top surface, the charge enclosed within the Gaussian surface is equal to the charge on the top surface.
Let's denote the charge enclosed by the Gaussian surface as Q. The surface area of the Gaussian surface is A.
Charge enclosed (Q) = Surface density × Area
Q = (3.00 × 10^10 electrons/m²) × A
According to Gauss's law, the electric field passing through the Gaussian surface is given by:
E₁ = Q / (ε₀ × A)
Here, ε₀ is the permittivity of free space, which is approximately 8.854 × 10^-12 C²/(N·m²).
Substituting the expression for Q, we have:
E₁ = [(3.00 × 10^10 electrons/m²) × A] / (ε₀ × A)
Simplifying further:
E₁ = (3.00 × 10^10 / ε₀) V/m
Using the given value for ε₀:
E₁ = (3.00 × 10^10 / 8.854 × 10^-12) V/m
Calculating the result:
E₁ ≈ 3.39 × 10^21 V/m
Therefore, the electric field strength at point 1 (E₁) is approximately 3.39 × 10^21 V/m.
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Dorji weight 1500n.if the total surface area of soles of his feet is 0.5 m2 what is the pressure exerted by his body on the ground
Answer:
P = 3000 Pa
Explanation:
Weight of Dorji, W = F = mg = 1500 N
The total surface area of soles of his feet is 0.5 m²
We need to find the pressure exerted by his body on the ground. The pressure is equal to the force acting per unit area. So,
\(P=\dfrac{1500\ N}{0.5\ m^2}\\\\=3000\ Pa\)
So, the pressure exerted by his body on the ground is 3000 Pa.
Need help thanks again ASAP PLEASE
Answer:
THY ANSWER IS G..
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Explanation:
How does refraction allow thin convex lenses to work?
Answer:
https://www.khanacademy.org/science/physics/geometric-optics/lenses/v/convex-lenses
Explanation:
Here is a link to a video to tell you about this.
40 J of work are done per cycle on a refrigerator with a coefficient of performance of 5.0. How much heat is extracted from the cold reservoir per cycle? How much heat is exhausted to the hot reservoir per cycle?
The coefficient of performance (COP) of a refrigerator is defined as the ratio of the heat extracted from the cold reservoir to the work done on the refrigerator per cycle.
Mathematically, COP = Qc/W, where Qc is the heat extracted from the cold reservoir and W is the work done on the refrigerator per cycle.
We are given that the work done per cycle is 40 J and the COP is 5.0. Therefore, we can calculate the heat extracted from the cold reservoir per cycle as: Qc = COP * W = 5.0 * 40 J = 200 J
So, 200 J of heat is extracted from the cold reservoir per cycle.
The first law of thermodynamics states that the total amount of energy in a closed system is conserved.
Therefore, the amount of heat exhausted to the hot reservoir per cycle must be equal to the sum of the heat extracted from the cold reservoir and the work done on the refrigerator per cycle.
Mathematically, Qh = Qc + W.
Substituting the values we know, we get:
Qh = Qc + W = 200 J + 40 J = 240 J
Therefore, 240 J of heat is exhausted to the hot reservoir per cycle.
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A pump is to lift 20.0 kg of water per minute through a height of 25.50 m. What output rating should the pump motor have?
Answer:
the output rating that should the pump motor have is 83.30 Watt
Explanation:
Given that
The pump lift 20 kg of water per minute having a height of 25.50 m
We need to find out the output rating that should the pump motor have
As we know that
power = energy ÷ time
= m g h ÷ t
= 20.0 × 9.8 × 25.50 ÷ 60
= 83.30 Watts
Hence, the output rating that should the pump motor have is 83.30 Watt