Answers
The required electric field strengths are calculated to be E₁ = E₃ = 112.88 × 10³ N/C, E₂ = 0.
Length of the two glass rods is given as, L = 17 cm = 0.17 m
Charge on them = 16 nc = 16 × 10⁻⁹ C
Distance between the rods is given as 4 cm = 0.04 m.
Electric charge due to a single glass rod can be given by,
E = Q/ (2π ε₀ r L) ----(1)
(1) can be used to determine E₁, E₂, E₃ because the points lie within the two rods hence the net electric field produced will be equal to the difference in electric fields produced.
E₁ = Q/ (2π ε₀ r L) × [1/0.01 - 1/0.03]
⇒ (16 × 10⁻⁹)/(2× 3.14× 8.85 × 10⁻¹² × 0.17) × (66.67)
⇒ (16× 66.67 × 10³)/(9.45) = 112.88 × 10³ N/C
Let us find E₂,
E₂ = Q/ (2π ε₀ r L) × [1/0.02 - 1/0.02] = 0
And E₁ = E₃.
Thus, E₁ = E₃ = 112.88 × 10³ N/C, E₂ = 0.
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Related Questions
A 10 kg remote control plane is flying at a height of 111 m. How much
potential energy does it have?
Answers
Answer:
10.88kJ
Explanation:
Given data
mass= 10kg
heigth= 111m
Applying
PE= mgh
assume g= 9.81m/s^2
substitute
PE= 10*9.81*111
PE=10889.1 Joules
PE=10.881kJ
Hence the potential energy is 10.88kJ
A skier leaves the horizontal end of a ramp with a velocity of 25.0 m/s and lands 70.0 m from the base of the ramp. How high is the end of the ramp from the ground? m
Answers
Answer:
The end of the ramp is 38.416 m high
Explanation:
Horizontal Motion
When an object is thrown horizontally with an initial speed v and from a height h, it follows a curved path ruled by gravity.
The maximum horizontal distance traveled by the object can be calculated as follows:
\(\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}\)
If the maximum horizontal distance is known, we can solve the above equation for h:
\(\displaystyle h=\frac {d^2g}{2v^2}\)
The skier initiates the horizontal motion at v=25 m/s and lands at a distance d=70 m from the base of the ramp. The height is now calculated:
\(\displaystyle h=\frac {70^2\cdot 9.8}{2\cdot 25^2}\)
\(\displaystyle h=\frac {4900\cdot 9.8}{2\cdot 625}\)
h= 38.416 m
The end of the ramp is 38.416 m high
What is the average speed of the whole trip?
Answers
Answer:
65 miles per hour.
Explanation:
Answer:
Average speed of entire trip is : 3.67 m/s
Explanation:
Speed is calculated as the distance covered divided by time
Average speed will be the :speed before stop add to speed after stopping then divide by 2
Speed before stop = 200/ 60 = 3.33 m/s
Speed after stop = 400/100= 4m/s
Average speed = (3.33+4)/2 = 7.33/2 = 3.67 m/s
if the earth exerts a force of 5000N on satellite Aldock keep it in orbit calculate the height
Answers
The height of the satellite Aldock in orbit is approximately 1,419,288 meters or 1,419.3 kilometers above the Earth's surface.
What is the height of the satellite?
The height of a satellite in orbit around the Earth can be calculated using the following formula:
h = (GMt/4π²)^(1/3) - Re
where:
h is the height of the satellite above the Earth's surfaceG is the gravitational constant (6.67430 × 10^-11 m^3/kg/s^2)Mt is the mass of the Earth (5.972 × 10^24 kg)Re is the radius of the Earth (6,371 km)To solve for h, we need to know the mass of the satellite and the speed of its orbit. However, we can use the given information that the Earth exerts a force of 5000N on the satellite to calculate the speed of the orbit using the centripetal force equation:
F = mv^2/r
where:
F is the force of gravity (5000 N)m is the mass of the satellitev is the speed of the satellite in its orbitr is the distance between the center of the Earth and the satellite (which is equal to the sum of the height of the satellite and the radius of the Earth)Solving for v, we get:
v = √(Fr/m)
v = √((5000 N) * (6,371,000 m)) = 7919.26 m/s
Now that we know the speed of the orbit, we can use the first formula to solve for the height of the satellite:
h = (GMt/4π²)^(1/3) - Re
Substituting the given values, we get:
h = [(6.67430 × 10^-11 m^3/kg/s^2) * (5.972 × 10^24 kg) / (4π²)]^(1/3) - 6,371,000 m
= 1,419,288 m
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similarities and differences between a lunar eclipse and the disappearing sun. HELP FAST
Answers
Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.
On her camping trip, Penelope was in charge of collecting firewood. The firewood she found had a mass of 120 g and a volume of 480 cm3. What is the density of the firewood? Explain the steps you took to solve this problem.
Answers
Answer:
D = .25g/cm³
Explanation:
D = m/V
D = 120g/480cm³
D = .25g/cm³
4) The SI unit of time is second. why?
Answers
Answer:
Second, fundamental unit of time, now defined in terms of the radiation frequency at which atoms of the element cesium change from one state to another. The second was formerly defined as 1/86,400 of the mean solar day—i.e., the average period of rotation of the Earth on its axis relative to the Sun.
source britannica
Explanation:
The amplitude of a wave is measured from the crest of one wave to the crest of the next. Question 3 options: True False
Answers
Answer:
answer is FALSE
Explanation:
AMPLITUDE IS THE MAXIMUM AMOUNT OF DISPLACEMENT OF A PARTICLE ON THE MEDIUM FROM ITS REST POSITION
AND WAVELENGTH can be measured as crest to crest
Amplitude of a wave is the strength of the wave. It is measured from the central line of the wave to the top of the crest or bottom of the trough. Therefore, the statement is false.
What is amplitude?Amplitude is a parameter measuring the strength of a wave. It is the maximum displacement moved by the wave from its equilibrium position. The vibrational path will be twice that of the amplitude of the wave.
As the amplitude of the wave increases its intensity increases. Both are in direct proportion with the frequency and energy of a wave. For instance the amplification of sound waves increases the intensity of waves that we hear.
The distance between two consecutive crests or troughs is the wavelength of the wave not amplitude. Amplitude is measured from the axis line to the top of the crest thus, from exact middle of the wave crest to the top or to the bottom of trough. Thus, the statement is false.
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A monarchy is the type of government that the colonist do not want true or false
Answers
Answer:
Monarchy is rule from kings and queens
Explanation:
an object or mass 5kg is moving at a constant velocity of 15.ms-1calculte it kenetic energy
Answers
The kinetic energy of an object with mass 5kg and a constant velocity of 15m/s is 562.5J.
How to calculate kinetic energy?Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
The kinetic energy of an object can be calculated using the following formula:
K.E = ½ mv²
Kinetic energy = ½ × 5 × 15²
Kinetic energy = 562.5J
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Gravity Rocks!
Three friends were talking about gravity. One friend
held up a rock and asked his friends whether the gravi-
tational force on the rock depended on where the rock
was located. Each friend had a different idea about a
place where the gravitational force on the rock would
be the greatest. This is what they said:
Lorenzo: "I think if you put the rock on the top of a very tall mountain, the gravita-
tional force on the rock will be greatest."
Eliza: "I think the gravitational force will be greatest when the rock is resting on
the ground near sea level."
Flo: "I think you have to go really high up. If you drop the rock out of a high-
flying plane, the gravitational force will be greatest."
Explain why you agree with
Which friend do you most agree with?
that friend.
Answers
Answer:
Eliza’s suggestion is the most promising
Explanation:
Newton’s law of universal gravitation is \(F = G\frac{m_1m_2}{r^2}\) where G is a constant and both masses are constant in this experiment as well. So it only depends on r, the distance between the center of mass of both objects.
Bringing it high in the sky, as Flo suggests, is definitely not a good idea because it only increases the distance from the center of the Earth mass.
A mountain contains significant mass, so the center of the Earth mass is somewhat shifted to regions with the largest mountains. However, standing on top of a mountain, as Lorenzo suggests, doesn’t help since the shift of the center of mass, if any, is far smaller than the height of the mountain.
Standing near sea level, as Eliza suggests, is a good way to minimize the distance to the center of the Earth mass.
Which is not an example of an external force acting on an object? (1 point)
• a meteor traveling unhindered through space
O a hockey puck striking the back of the net and coming to rest
O a billiard ball bouncing off the rail of a pool table
O a batter hitting a baseball
Answers
Answer:
A. a meteor traveling unhindered through space
Explanation:
n unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, −4.0 m, 3.0 m) if that torque is due to (a) force F1 with components F1x = 2.0 N, F1y = F1z = 0, and (b) force F2 with components F2x = 0, F2y = 2.0 N, F2z = 4.0 N?
Answers
n unit vector notation, -22j is the torque about the origin on a particle located at coordinate (o, -4.0m, 3.0m)
Torque is defined as the force that can cause an object to rotate along an axis is measured as torque. Estimate the angle between the vector connecting the force's application point and the pivot point and the direction of the applied force. You may calculate the torque by multiplying r by F and sin.
T=R (distance) x F (Force)
R=-4j+3k
F=2J
Hence, t= R x F vector product
=(-4j+3k)x2j
=-4x2x(y x J)
=+3x2y(k x r)
=-8x(-k)+6j
=(6j+8k) nm
b) F^2=2J+4K
Hence, t=r x f^2
=(-4j+3k)x(2j+4k)
=0-16( J x k)+6(K x J)+0
=-16j-6j
=-22j
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A pendulum of mass 12 kg is released from rest at some height, as shown by
point A in the image below. At the bottom of its arc at point B, it is traveling at
a speed of 19 m/s. What is the approximate amount of energy that has been
lost due to friction and air resistance? (Recall that: g = 9.8 m/s²)
20 m
A35
B186
C78
D112
Answers
The energy lost to friction and air resistance is 186 J.
option B.
What is the energy lost to friction and air resistance?The energy lost to friction and air resistance is calculated from the change in the mechanical energy of the pendulum.
The initial potential energy of the pendulum at the initial position is calculated as;
PEi = mghi
where;
m is the massg is gravityh is the initial heightP.Ei = 12 kg x 9.8 m/s² x 20 m
P.Ei = 2,352 J
The final kinetic energy of the pendulum is calculated as follows;
K.Ef = 0.5 x 12 kg x (19 m/s)²
K.Ef = 2,166 J
ΔE = 2,166 J - 2,352 J
ΔE = -186 J
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One Mole Of An Ideal Gas Undergoes An Isobaric Expansion. Which Of The Following Graphs Of Volume As A Function Of Temperature In Kelvin Could Represent This Process?
Answers
The graph showing how volume grows as temperature does.The graph shows that the volume increases linearly as the temperature increases.
Which of the above graphs of volume against temperature in kelvin better depicts this process?A linear graph could depict the volume as a function of temperature in Kelvin and the isobaric expansion of an ideal gas. There is no work done to the system because the pressure remains constant during isobaric expansion.This suggests that the internal energy change of the system changes proportionally to the temperature change and is equal to the heat it has absorbed. As a result, there is a linear relationship between temperature increase and volume growth.The volume as a function of temperature in Kelvin for isobaric expansion of an ideal gas will always be a linear graph, with the slope of the graph depending on the gas's specific heat capacity.This graph can be used to calculate the temperature change of the gas and the total quantity of heat absorbed by the system.With increasing temperature, this connection will graph as a linear increase in volume. The graph's slope is determined by the gas's specific heat capacity.Since the rate of volume growth is directly correlated with the specific heat capacity of the gas, the greater the specific heat.To learn more about volume versus temperature refer to:
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A manufacturing firm has hired your company, Acoustical Consulting, to help with a problem. Their employees are complaining about the annoying hum from a piece of machinery. Using a frequency meter, you quickly determine that the machine emits a rather loud sound at 1100 Hz. After investigating, you tell the owner that you cannot solve the problem entirely, but you can at least improve the situation by eliminating reflections of this sound from the walls. You propose to do this by installing mesh screens in front of the walls. A portion of the sound will reflect from the mesh; the rest will pass through the mesh and reflect from the wall.How far should the mesh be placed in front of the wall for this scheme to work?
Answers
Answer: 7.7cm
Explanation:
If i want to set up destructive interference, meaning that the reflection will be half (½) of the wavelength out of phase, or the distance is ¼ of a wavelength.
v.s = Speed of sound = 340 m/s ( some books may use 343 m/s, this change varies due to change in temperature and humidity.)
f = 1100 hz
λ = v.s / f
λ = 340 m/s / 1400 Hz
λ = .3091 m
Recall that the distance is ¼ of the wavelength,
.3091/4 = 0.0773 m
Distance used would be = 7.7 cm
definition of momentum
Answers
Answer:
Momentum is a term used in physics to describe an object's resistance to change its motion. It is a measure of an object's mass and velocity and can be mathematically represented by the equation p = mv, where p is momentum, m is mass, and v is velocity.
Momentum is a vector quantity, meaning it has both magnitude and direction. It can be thought of as the amount of motion an object possesses in a particular direction. For example, a large truck traveling at a high speed has more momentum than a small car traveling at a slower speed, even though they both may have the same mass.
In physics, momentum plays a crucial role in determining how objects will react when they collide. If two objects collide and have equal and opposite momentum, they will typically bounce off each other. However, if one object has much more momentum than the other, it is likely to push the other object aside and continue on its original path.
It is also important to note that momentum is conserved in isolated systems. This means that if two or more objects collide or interact with each other, the total momentum before the collision is equal to the total momentum after the collision.
In conclusion, momentum is a fundamental concept in physics that helps to describe and understand the motion of objects. It is a combination of an object's mass and velocity, and it determines how objects will interact when they collide.
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A car travels 78 kilometers in an hour. Then for the next two hours, it travels 45 kilometers. What is the average speed of the car?
Answers
Answer:
41km/h
Explanation:
78km-1hr
45km-2hr
total distance / total time
123 / 3 hrs
41 km/hr
How is the acceleration of a falling object calculated
Answers
Answer:
F=w=ma OR by using equations of motions vf=vi-at : a=vf-vi/t eq 1 s=vit+1/2at squre eq 2 2as=vf squre - vi squre eq 3
Explanation:
where m is the mass of falling body , f is the weight is the force acting down ward , vf is the final velocity, vi is the inetial velocity , t is the time and s is the distance covered by a body.
Plz help me fast WITH EXTRA POINTS AFTER SUBMITTING
Answers
Answer:
4 bobux
Explanation:
one bobux
two bobux
three bobux
four bobux
Of the following, which is the best reason for why a woman's risk for cardiovascular disease increases after menopause?
Answers
Answer:
The best reason for the increased risk of cardiovascular diseases in women after menopause is the significant decrease in the levels of Estrogen in the body.
Detailed answer:
Due to the approach of menopause the estrogen levels in the blood decrease drastically. Estrogen helps in relaxing the vessels and keeping them in their natural diameter. But due to a drastic decrease in its level due to menopause, there is a high chance of cholesterol building up on the walls of the artery in the heart, which can cause many cardiovascular diseases.A uniform electric field has a magnitude of 10 N/C and is directed upward. A charge brought into the field experiences a force of 50 N downward. The charge must be:_______.
Answers
Answer:
q = 5 C
Explanation:
The electric field is defined as the force experienced by a unit charge when it is brought into the field. Hence, the formula used to find the electrical field is given as follows:
E = F/q
where,
E = Electric Field Magnitude = 10 N/C
F = Force Experienced by the test charge = 50 N
q = Magnitude of the Charge = ?
Therefore,
10 N/C = 50 N/q
q = 50 N/(10 N/C)
Therefore,
q = 5 C
a cars gas tank contains 58.7kg of gasoline witch takes up 0.0814 m^3
Answers
The density of the Gasoline is 721.1302 kg/m3. This is the answer for the given question.
How do you figure out a gasoline cylinder's density?100 cc of gasoline should be added to the cylinder before weighing it on the scale in grams. When the cylinder is filled with gasoline, deduct the cylinder's mass from the cylinder's overall mass. This is the gasoline's mass. To determine the density, divide this number by the volume, which is 100 ml. As an alternative, use a hydrometer.
What is gasoline?Gasoline is a mixture of many different chemicals, including hydrogen and carbon (hydrocarbons). A typical gasoline blend contains about 150 hydrocarbons. Gasoline has a density of ρ = 700–800 kg/m3, while diesel fuel varies between ρ = 830–950 kg/m3.
Explanation of the above answer:Given,
mass(m) = 58.7 kg
volume(V) = 0.0814 m3
Formula for density = mass/volume
Density = 58.7 / 0.0814
Density = 721.1302 kg/m3.
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Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
Answers
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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A cyclist and his bicycle have a combined mass of 85 kg. If he is moving at
12 m/s, how much KE does he have?
Your nour
Answers
Answer:
211.2 kg:m/s
Explanation:
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How is thermal energy transferred during conduction? Check all that apply.
Thermal energy is transferred between particles that are not touching each other.
Thermal energy is transferred between particles that are in direct contact with each other.
Thermal energy is transferred between objects of different temperatures.
Thermal energy is transferred between objects of the same temperature.
Thermal energy is transferred from slow-moving particles to fast-moving particles.
Thermal energy is transferred from fast-moving particles to slow-moving particles.
Answers
The correct options for how thermal energy is transferred during conduction are " Thermal energy is transferred between particles that are in direct contact with each other.", "Thermal energy is transferred between objects of different temperatures.", and "Thermal energy is transferred from fast-moving particles to slow-moving particles." The correct options are B, C, and F.
During conduction, thermal energy is transferred through a material or between objects in direct contact with each other. The transfer of thermal energy occurs because of temperature differences between the two objects or regions. When two objects at different temperatures are in direct contact with each other, the hot object transfers thermal energy to the cold object through collisions between the particles of the two objects. The fast-moving particles in the hot object collide with the slow-moving particles in the cold object, transferring thermal energy from the hot object to the cold object. This process continues until the two objects reach thermal equilibrium, meaning they have the same temperature and there is no more net transfer of thermal energy between them.
Option A is not true because thermal energy is actually transferred between particles that are in direct contact with each other, not particles that are not touching each other.
Option D is not true because thermal energy does not transfer between objects that are already at the same temperature. Heat transfer only occurs when there is a temperature difference.
Option E is not true because thermal energy actually flows from hot objects to cold objects. Therefore, thermal energy is transferred from fast-moving particles to slow-moving particles, not the other way around.
Therefore, The correct answers are B, C, and F.
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gas is compressed by a piston in a cylinder from an initial pressure of 1.0 bar and initial volume of 0.4m3 , to a final pressure of 1.4 bar. During the compression process, the product of the gas pressure P and volume V remains constant. Determine the work done on the gas. If during the compression the gas loses 8.1 kJ of heat to the surroundings, determine the change in internal energy of the gas.
Answers
The work was done on the gas. and internal energy of the gas will be -13459 J and -21649 J.
What is work done by gas?When energy is moved from one store to another, work is completed. Work done on the gas is taken as -ve.
Given data;
Initial pressure(P₁)=1.0 bar
The initial volume, V₁=0.4m³
Final pressure(P₂) =1.4 bar.
work is done on the gas., W=?(-ve)
Heat release= - 8.1 kJ
Change in the internal energy of the gas., ΔE
During the compression process, PV=C
P₁V₁=P₂V₂
1.0 bar × 0.4m³= 1.4 bar ×V₂
V₂=0.285 m³
\(\rm W=P_1V_1ln\frac{V_2}{V_1} \\\\\ \rm W=1.0 \times 0.4 ln\frac{0.285}{0.4} \\\\\ W=-13549 \ J\)
The work done on the gas will be -13459 J.
The internal energy is found as;
ΔE=q+w
ΔE= -8.1 ×10³ -13549
ΔE=-21649 J
Hence, work was done on the gas. and internal energy of the gas will be -13459 J and -21649 J.
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In ΔWXY, y = 99 cm, x = 93 cm and ∠X=45°. Find all possible values of ∠Y, to the nearest degree.
Answers
The answer is 49 and 131
A cart of mass m1 = 0.500 kg moves with a velocity of 0.900 m/s to the right on a frictionless track. It collides with another cart of mass m2 = 0.500 kg at rest. Car m1 stops and m2 moves in the direction that m1 was traveling. What is the magnitude of the final velocity of m2? Enter you answer in m/s.
Answers
The final velocity of the cart m2 is 0.9 m/s.
What is velocity?Velocity can be defined as the rate of change of displacement. The S.I unit of velocity is m/s
To calculate the magnitude of the final velocity of car m2, we apply the formula below.
Formula:
mu+m'u' = mv+m'u'............. Equation 1Where:
m = mass of the cart m1m' = mass of cart m2u = initial velocity of cart m1initial velocity of cart m2v = final velocity of cart m1v' = final velocity of cart m2From the question,
Given:
m = 0.5 kgm' = 0.5 kgu = 0.9 m/su' = 0 m/sv = 0 m/sSubstitute these values into equation 1
0.5(0.9)+0.5(0) = 0.5(0)+0.5v'0.45 = 0.5v'v' = 0.45/0.5v' = 0.9 m/s.Hence, The final velocity of the cart m2 is 0.9 m/s.
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Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.
A) What is the amplitude of the wave ? Include correct units.
B) Use the graph to determine the time of one wave. Use it to find the frequency.
C) If the speed of the wave is 25 cm/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.
Answers
(a) The amplitude of the wave is determined as 8 cm.
(b) The period of the wave motion is 20 s and the frequency of the wave is 0.05 Hz
(c) The wavelength of the wave is 500 cm.
What is the amplitude of the wave ?(a) The amplitude of the wave is the maximum displacement of the wave.
from the graph, amplitude of the wave = 8 cm
(b) The period of the wave motion is calculated as;
T = 20 s
The frequency of the wave = 1/T = 1/20 s = 0.05 Hz
(c) The wavelength of the wave is calculated by applying the following wave formula.
λ = v / f
λ = 25 cm/s / 0.05 Hz
λ = 500 cm
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