As light enters the diamond, it is refracted at an angle of 12.3 degrees.
Definition of refractive index Diamond has a refractive index of 2.42. What does this statement actually mean?According to the aforementioned assertion, the speed of light in a diamond is 1.42 times that of light in a vacuum. The speed of light in a diamond will be 2.42 times slower than it is in air due to the high refractive index of diamonds.
[tex]heta2 = 12.3 degrees[/tex]
When we simplify the equation, we obtain:
[tex](1/2.42) x Sin(30) = Sin(theta2)[/tex]
[tex]Theta2 sin(2) = 0.208[/tex]
When we take the inverse sine of both sides, we obtain:
[tex]12.3 degree theta2[/tex]
Using both sides' inverse sine,
[tex]theta2 = 12.3 degrees[/tex]
To know more about refracted visit:
https://brainly.com/question/14760207
#SPJ1
a particular wire has a resistivity of 3.0 108 m and a cross-sectional area of 4.0 106 m2. a length of this wire is to be used as a resistor that will develop 48 w of power when connected across a 20-v battery. what length of wire is required?
When linked across a 20-volt battery, a length of 5.56 metres of wire is required to provide 48 watts of electricity.
We may utilise the power in a resistor formula, which is:
[tex]P = V^2 / R[/tex]
where P denotes power, V denotes voltage, and R denotes resistance.
This formula can be rearranged to account for resistance:
[tex]R = V^2 / P[/tex]
We also know that the resistance of a wire may be computed using the formula: resistivity (), length (L), and cross-sectional area (A).
R = ρL / A
We may calculate the needed length of wire by combining these two equations:
ρL / A = [tex]V^2 / P[/tex]
L = A[tex]V^2[/tex] / (P ρ)
Plugging in the given values, we get:
L = (4.0 x [tex]10^-6 m^2[/tex]) ([tex]20 V)^2[/tex]/ (48 W) (3.0 x [tex]10^8[/tex] Ω·m)
L = 5.56 m
As a result, a wire length of 5.56 metres is required to generate 48 watts of electricity when linked across a 20-volt battery.
Therefore, the length of wire required is 1.11 km.
Learn more about length
https://brainly.com/question/30100801
#SPJ4
relative velocity: a small boat is moving at a velocity of 3.35 m/s when it is accelerated by a river current perpendicular to the initial direction of motion. if the acceleration of the current is 0.750 m/s2, what will be the new velocity of the boat after 33.5 s?
The new velocity of the boat after 33.5 s is 25.23 m/s.
To solve this problem, we can use the concept of relative velocity. Let's consider the initial velocity of the boat as v_b and the velocity of the river current as v_c.
The boat is initially moving with a velocity v_b = 3.35 m/s. When the river current accelerates it perpendicular to its initial direction of motion, the boat experiences a change in velocity given by:
Δv = v_c * Δt
where Δt is the time for which the boat is accelerated by the current. The direction of Δv is perpendicular to both v_b and v_c, and it is given by the right-hand rule.
After the boat is accelerated by the current for a time of 33.5 s, its new velocity v_f is the vector sum of its initial velocity and the change in velocity it experienced due to the current:
v_f = v_b + Δv
To find the magnitude of v_f, we need to use the Pythagorean theorem:
|v_f| = √(v_[tex]b^2[/tex] + Δ[tex]v^2[/tex])
Substituting the given values, we get:
Δv = v_c * Δt = 0.750 [tex]m/s^2[/tex] * 33.5 s = 25.125 m/s
v_f = √(3.35 [tex]m/s)^2[/tex] + (25.125 [tex]m/s)^2[/tex] = 25.23 m/s
Therefore, the new velocity of the boat after 33.5 s is 25.23 m/s.
Learn more about new velocity
https://brainly.com/question/31041614
#SPJ4
what is the speed of sound in air if it takes 2.95 seconds to hear an echo from a canyon wall that is 569.71 m away? (be careful!!!)
The speed of sound refers to the rate at which sound waves propagate or travel through a medium, such as air, water, or solid materials. The speed of sound depends on the properties of the medium, such as its density, temperature, and elasticity. In general, sound travels faster in denser, more elastic mediums, and at higher temperatures.
To find the speed of sound in air based on the time it takes to hear an echo from a canyon wall that is 569.71 meters away and takes 2.95 seconds, follow these steps:
Determine the total distance the sound travels:The speed of sound in air is approximately 386.24 meters per second, given it takes 2.95 seconds to hear an echo from a canyon wall that is 569.71 meters away.
To learn more about the Speed of Sound. Please Visit:
https://brainly.com/question/28885244
#SPJ11
a hollow cylindrical copper (density 8.96 g/cm3) pipe is 0.71 m long and has an outside diameter of 3.50 cm and an inside diameter of 2.50 cm. the mass of this pipe is closest to
Having an exterior diameter of 3.50 cm and an inside diameter of 2.50 cm, a hollow cylindrical copper pipe measures 0.71 m in length. The mass of the copper pipe is closest to 6.72 kg.
To find the mass of the copper pipe, we need to first calculate its volume, which can be obtained by subtracting the volume of the hollow center from the volume of the outer cylinder.
The outer cylinder's volume can be calculated as:
[tex]$V_{outer} = \pi r_{outer}^2h$[/tex]
where r_outer is the outer radius, h is the height, and π is the mathematical constant pi.
Similarly, the inner cylinder's volume can be calculated as:
[tex]$V_{inner} = \pi r_{inner}^2h$[/tex]
where r_inner is the inner radius.
Therefore, the volume of the hollow center can be found by subtracting V_inner from V_outer:
V_hollow = V_outer - V_inner
[tex]$V_{outer} = \pi(r_{outer}^2 - r_{inner}^2)h$[/tex]
Substituting the given values, we get:
[tex]$V_{hollow} = \pi(0.0175^2 - 0.0125^2) \times 0.71$[/tex]
= 0.00074962 m^3
The mass of the copper pipe can be found by multiplying its volume by its density:
mass = density × volume
[tex]$V = 8.96 \text{ g/cm}^3 \times 749.62 \text{ cm}^3$[/tex]
= 6716.23 g
≈ 6.72 kg (rounded to two decimal places)
To learn more about copper pipe
https://brainly.com/question/27813166
#SPJ4
consider the conditions in practice problem 5.2. how short would the driver reaction times of oncoming vehicles have to
The driver reaction times of oncoming vehicles would need to be shortened to an average of approximately 1.018 seconds for the probability of an accident to equal 0.20.
The reaction timePractice Problem 5.2 refers to a situation where a driver needs to react within 1 second to avoid an accident, but the actual reaction time is normally distributed with a mean of 1.25 seconds and a standard deviation of 0.2 seconds.
To calculate the required shortening of driver reaction times for the probability of an accident to equal 0.20, we can use the inverse normal distribution function.
First, we need to find the z-score corresponding to a probability of 0.20. Using a standard normal distribution table or calculator, we find that the z-score is approximately -0.84.
Next, we can use the formula for converting a normally distributed variable to a standard normal variable:
z = (x - μ) / σ
where z is the z-score, x is the value of the variable we want to convert, μ is the mean, and σ is the standard deviation.
We want to find the new mean reaction time (x) that corresponds to a z-score of -0.84 and keeps the probability of an accident at 0.20:
-0.84 = (x - 1.25) / 0.2
Solving for x, we get:
x = -0.84 * 0.2 + 1.25 = 1.018 seconds
Therefore, the driver reaction times of oncoming vehicles would need to be shortened to an average of approximately 1.018 seconds for the probability of an accident to equal 0.20.
Learn more on reaction time here https://brainly.com/question/6167212
#SPJ1
Consider the conditions in Practice Problem 5.2. How short would the driver reaction times of oncoming vehicles have to be for the probability of an accident to equal 0.20?
how far apart are the object and image produced by a converging lens with 35.5- cm focal length when the object is 45 cm from the lens?
To find the distance between the object and image produced by a converging lens with a 35.5 cm focal length when the object is 45 cm from the lens, you can use the lens formula:
1/f = 1/do + 1/di
Where:
f = focal length (35.5 cm)
do = object distance (45 cm)
di = image distance
Step 1: Plug in the values for f and do:
1/35.5 = 1/45 + 1/di
Step 2: Subtract 1/45 from both sides:
1/35.5 - 1/45 = 1/di
Step 3: Find a common denominator and subtract:
(45 - 35.5)/(35.5 * 45) = 1/di
9.5/(35.5 * 45) = 1/di
Step 4: Take the reciprocal of both sides:
di = (35.5 * 45)/9.5
Step 5: Calculate di:
di ≈ 168.42 cm
So, the object and image produced by the converging lens with a 35.5 cm focal length when the object is 45 cm from the lens are approximately 168.42 cm apart.
To know more about lens formula:
https://brainly.com/question/30241648
#SPJ11
a stroboscopic photo of a club hitting a golf ball, was made by Harold Edgerton in 1993. the ball was initially at rest, and the club was shown to be in contact with the ball for about 0.0020 s. Also, the ball was found to end up with a speed of 2.0x10^2 feet per second. Assuming that the golf ball had a mass of 55 g, find the average force exerted by the club on the ball
The average force exerted by the club on the ball is 838,400 N. Force can be characterized by its magnitude, direction, and point of application.
What is a force ?It can be a push or pull, and it can cause an object to start moving, stop moving, or change its direction of motion.
Force is indeed a physical factor that alters or has the potential to alter an object's state at rest or motion as well as its shape. Newton is the SI unit of force.
Finally, the average force exerted by the club on the ball is:
F = I / t = (1676.8 N·s) / (0.0020 s) = 838,400 N
To know more about force visit :
brainly.com/question/13191643
#SPJ1
________ is another name commonly used by scientists to denote seismic sea waves induced by earthquakes.
Tsunamis are another name commonly used by scientists to denote seismic sea waves induced by earthquakes.
A tsunami is a series of waves in a water body caused by the displacement of a large volume of water, generally in an ocean or a large lake. Earthquakes, volcanic eruptions and other underwater explosions above or below water all have the potential to generate a tsunami.
to learn more about tsunami, click on this -
brainly.com/question/12908014
#SPJ11
The term "tsunami" is another name commonly used by scientists to denote seismic sea waves induced by earthquakes.
Tsunamis are also referred to as seismic sea waves because they are caused by large-scale disturbances of the ocean floor, such as earthquakes, volcanic eruptions, and landslides. The energy released during these disturbances causes large waves to propagate across the ocean and can cause widespread destruction when they reach the coastlines. Tsunamis are different from ordinary ocean waves because they have much longer wavelengths and travel at much higher speeds, which allows them to cover large distances and impact coastlines far from their source.To learn more about Tsunamis please visit:
https://brainly.com/question/14782736
#SPJ11
in what wavelength range was interferometry first routinely used? in what wavelength range was interferometry first routinely used? ultraviolet radio optical infrared x-ray
Interferometry was first routinely used in the optical wavelength range. The first successful interferometer was built by Albert A. Michelson in 1881, which was used to measure the diameter of stars.
Since then, interferometry has been widely used in the optical and infrared wavelength ranges for various applications such as astronomy, remote sensing, and surface metrology. Interferometry has also been used in the radio wavelength range for radio astronomy, and in the X-ray and ultraviolet wavelength ranges for imaging and spectroscopy of high-energy phenomena.
Learn more about Interferometry
https://brainly.com/question/10131731
#SPJ4
Please help ASAP
How much energy is required to change a 35 g ice cube from ice at −12◦C to steam at 118◦C? The specific heat of ice is 2090 J/kg ·◦ C, the specific heat of water is 4186 J/kg ·◦ C, the specific heat of stream is 2010 J/kg ·◦ C, the heat of fusion is 3.33 × 105 J/kg, and the heat of vaporization is 2.26 × 106 J/kg.
Answer in units of J.
Explanation:
First you have to warm up the ice to melting point ....melt it ....then heat the water to boiling point.....boil it to steam ...then heat the steam to 118 C
35 g = .035 kg
.035 kg ( 2090 J /( kg C) * (12C) + 3.33 x 10^5 J/kg + 4186 J/(kg C) * 100 C + 2.26 x 10^6 J/kg + 2010 J/(kg C) * 18 C ) =
107550.1 J round as appropriate
Conclusion: In two complete paragraphs, state whether or not your hypothesis is supported. Make sure to discuss which ball demonstrated the highest energy lost and which was least
expected/lower than expected).
The results of this experiment do support my hypothesis that the tennis ball would experience the highest energy loss due to its larger mass and larger surface area.
Hypothesis is a statement or a theory that is used as a starting point for further investigation. It is an educated guess or a prediction about the relationship between two or more variables. Hypothesis is used in scientific experiments to test possible explanations and predictions of natural phenomena. Hypothesis testing involves gathering data to test the hypothesis and then analyzing the results to determine if the data supports or disproves the hypothesis. If the data does not support the hypothesis, then the hypothesis is rejected and a new hypothesis must be formed.
The results showed that the tennis ball had the highest average energy loss out of the three balls tested at 42.2%. This was followed by the golf ball at 36.3%, and the ping pong ball at the lowest average energy loss of 33.9%.
Overall, this experiment was successful in that it demonstrated that the larger mass and surface area of the tennis ball do result in a higher energy loss compared to the other two balls. This experiment thus supports the hypothesis that heavier, larger balls experience more energy loss due to their size and mass.
To learn more about hypothesis
https://brainly.com/question/654258
#SPJ9
a simple pendulum initially displaced an angle of 16 degrees is released and found to have a period of 0.6 seconds. what is its maximum tangential velocity?
The maximum tangential velocity of a simple pendulum initially displaced at 16 degrees and with a period of 0.6 seconds is approximately 1.38 m/s.
How to find maximum tangential velocity?The period of a simple pendulum is given by the equation:
T = 2π*√(L/g)
where L is the length of the pendulum and g is the acceleration due to gravity.
Solving for L, we get:
L = g*T²/(4π²)
Substituting the given value of period, we get:
L = (9.81 m/s²)*(0.6 s)²/(4π²)
L = 0.239 m
The maximum tangential velocity of the pendulum occurs at the bottom of its swing, where all of its potential energy has been converted to kinetic energy. At this point, the velocity is given by:
v = √(2gh)
where h is the height of the pendulum above its lowest point. For a small angle of displacement, h can be approximated by:
h = L*(1-cosθ)
where θ is the initial displacement angle in radians.
Substituting the given values of L and θ, we get:
h = 0.239 m*(1-cos(16°))
h = 0.0474 m
Substituting the calculated value of h, we get:
v = √(2*(9.81 m/s²)*0.0474 m)
v = 1.38 m/s
Therefore, the maximum tangential velocity of the pendulum is approximately 1.38 m/s.
Learn more about Simple pendulum
brainly.com/question/29183311
#SPJ11
newton's second law: on its own, a certain tow-truck has a maximum acceleration of 3.0 m/s2. what would be the maximum acceleration when this truck was towing a bus of twice its own mass?
The maximum acceleration when the truck is towing a bus of twice its own mass remains the same, which is 3.0 m/s².
Newton's second law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a).
In this case, the tow-truck's maximum acceleration without towing the bus is 3.0 m/s². Let's denote the mass of the truck as 'm'.
When the truck is towing the bus, the total mass becomes the mass of the truck plus the mass of the bus, which is twice the mass of the truck. So, the total mass is m + 2m = 3m.
To find the maximum acceleration when towing the bus, we need to consider that the force remains the same (since the truck's engine capability doesn't change).
Therefore, we can set up the following equation using Newton's second law:
F = m * a = 3m * a_new
Now, we need to solve for the new acceleration, a_new.
We can divide both sides of the equation by 3m:
a = a_new
Since the initial acceleration, a, is 3.0 m/s², the maximum acceleration when the truck is towing a bus of twice its own mass remains the same, which is 3.0 m/s².
For more information on acceleration and mass refer to https://brainly.in/question/789316
#SPJ11
two isolated objects collide head-on. one object has twice the mass of the other.show answer no attempt what is the acceleration of the center of mass of the system after the collision?
The acceleration of the center of mass of the system is also zero.
When two isolated objects collide head-on, the total momentum of the system is conserved. The momentum of an object is equal to its mass multiplied by its velocity. Since one object has twice the mass of the other, it will have half the velocity of the smaller object before the collision.
After the collision, both objects will move together as one system. The acceleration of the center of mass of the system can be found using the equation F=ma, where F is the net force acting on the system and m is the total mass of the system.
Since momentum is conserved, the net force on the system is zero. This means that the center of mass of the system will not move after the collision, and
the system will continue to move in the same direction as the smaller object with a velocity that is equal to the initial velocity of the smaller object divided by the total mass of the system.
To learn more about : acceleration
https://brainly.com/question/460763
#SPJ11
A rock thrown horizontally from the roof edge of a 12.4 m-high building hits the ground below, a horizontal distance of 17.8 m from the building. What is the overall speed of the rock when it hits the ground?
The overall speed of the rock when it hits the ground is 24.4 m/s.
We can solve this problem using kinematic equations of motion. Since the rock is thrown horizontally, its initial vertical velocity is zero.
Let's use the following kinematic equation to find the final velocity of the rock (v):
v² = u² + 2as
where u is the initial velocity (in this case, u = 0), a is the acceleration due to gravity (-9.81 m/s²), and s is the vertical distance the rock falls (12.4 m). Solving for v, we get:
v = sqrt(2as) = sqrt(2 x (-9.81 m/s²) x 12.4 m) = 17.26 m/s
Now that we have found the final vertical velocity, we can use it to find the time it takes for the rock to fall to the ground.
The time (t) can be found using the following kinematic equation:
s = ut + (1/2)at²
where s is the horizontal distance the rock travels (17.8 m), u is the horizontal velocity of the rock (which is constant), and a is the horizontal acceleration (which is zero). Since the initial horizontal velocity is equal to the final horizontal velocity, we can use the following equation to find u:
v = u
u = v = 17.26 m/s
Now we can plug in the known values to find t:
17.8 m = 17.26 m/s x t
t = 1.03 s
Finally, we can use the horizontal distance and time to find the horizontal velocity (v_h) using the equation:
v_h = s/t = 17.8 m / 1.03 s = 17.28 m/s
Therefore, the overall speed of the rock when it hits the ground is the vector sum of the horizontal and vertical velocities:
v_overall = sqrt(v_h² + v²) = sqrt((17.28 m/s)² + (17.26 m/s)²) = 24.4 m/s
So the overall speed of the rock when it hits the ground is 24.4 m/s.
To know more about vertical velocity, visit:
https://brainly.com/question/11679227
#SPJ1
a representation of an electric field shows 10 field lines perpendicular to a square plate. how many field lines should pass perpendicularly through the plate to depict a field with twice the magnitude?
The number of field lines passing perpendicularly through the plate is directly proportional to the magnitude of the electric field.
The relationship between the number of electric field lines and the magnitude of the electric field.The number of field lines passing perpendicularly through a given area is proportional to the electric field's magnitude. In your case, 10 field lines represent the initial electric field (E1) magnitude.You want to depict a field with twice the magnitude (E2 = 2 * E1). Since the number of field lines is proportional to the field magnitude, you need to double the number of field lines to represent the increased magnitude.
Therefore, if a representation of an electric field shows 10 field lines perpendicular to a square plate, to depict a field with twice the magnitude, there should be 20 field lines passing perpendicularly through the plate.
So, to depict an electric field with twice the magnitude, 20 field lines (2 * 10) should pass perpendicularly through the square plate.
For more such questions on electric field , Visit:
https://brainly.com/question/14372859
#SPJ11
how much potential energy would a 15 kg apple have if it is at the top of a tree that is 1 meters high? (round your answer to the nearest whole number, no decimal places).
The potential energy of the apple is 147 J when it is at the top of the tree.
The potential energy of an object at a height above the ground is given by the formula:
PE = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.
In this case, the mass of the apple is 15 kg, the height of the tree is 1 meter, and the acceleration due to gravity is approximately 9.81 m/s^2.
Plugging in these values into the formula, we get:
PE = (15 kg) x (9.81 m/s^2) x (1 m) = 147.15 J
Rounding to the nearest whole number, the potential energy of the apple is 147 J when it is at the top of the tree.
To know more about potential energy, here
https://brainly.com/question/24284560
#SPJ4
how much work, in kj, can a spring whose spring constant is 13 kn/cm produce after it has been compressed 3 cm from its unloaded length?
The spring can produce 0.00585 kJ of work when compressed 3 cm from its unloaded length.
To calculate the work done by a spring, we can use the formula:
W = (1/2) k [tex]x^2[/tex]
where W is the work done by the spring, k is the spring constant, and x is the displacement of the spring from its equilibrium position.
In this case, the spring constant is given as 13 kN/cm, which is equivalent to 130 N/cm or 13,000 N/m (since 1 kN = 1000 N). The displacement of the spring from its unloaded length is 3 cm.
So, the work done by the spring is:
W = (1/2) k [tex]x^2[/tex]
W = (1/2) (13,000 N/m) (0.03 m[tex])^2[/tex]
W = 5.85 J
To convert joules to kilojoules, we can divide the answer by 1000:
W = 5.85 J / 1000
W = 0.00585 kJ
Therefore, the spring can produce 0.00585 kJ of work when compressed 3 cm from its unloaded length.
Learn more about equilibrium position.
https://brainly.com/question/29409724
#SPJ4
Calculating Average Speed
If you know the total distance an object travels over a certain period of time, you can
calculate the average speed of the object.
To do so, you use the formula ____________________________________________.
a solid hemisphere with mass equal to 10 kilograms and radius of 30 millimeters sits with its flat side against a horizontal surface. what pressure (in pascals) does it exert on the surface?
The solid hemisphere exerts a pressure of 17,350 Pascals on the surface.
To find the pressure exerted by the solid hemisphere, we need to consider the weight of the object and the surface area in contact with the surface. The weight of the solid hemisphere is equal to its mass times the acceleration due to gravity, which is 10 kg x 9.81 m/s^2 = 98.1 N.
The surface area in contact with the surface is the curved surface area of the hemisphere, which is half the surface area of a sphere with radius 30 mm. Using the formula for the surface area of a sphere, we get:
Surface area = 2πr^2 = 2π(30 mm)^2 = 5,655.6 mm^2
To convert this to square meters, we divide by 1,000,000, which gives us 0.0056556 m^2.
Finally, we can calculate the pressure exerted by the solid hemisphere using the formula:
Pressure = Weight / Surface area = 98.1 N / 0.0056556 m^2 = 17,350 Pa
To learn more about : hemisphere
https://brainly.com/question/29282727
#SPJ11
a 43 g particle is moving to the left at 29 m/s . how much net work must be done on the particle to cause it to move to the right at 33 m/s ?
The net work required to change the motion of the 43g particle is approximately 5.332 J.
To calculate the net work required to change the motion of a 43g particle moving to the left at 29 m/s to move to the right at 33 m/s, we need to follow these steps:
1. Convert the mass of the particle from grams to kilograms:
43 g = 0.043 kg
2. Calculate the initial kinetic energy (KE_initial) of the particle using the formula
KE_initial = 0.5 * m * v_initial², where m is the mass and v_initial is the initial velocity (-29 m/s, negative because it's moving to the left).
3. Calculate the final kinetic energy (KE_final) of the particle using the formula
KE_final = 0.5 * m * v_final², where v_final is the final velocity (33 m/s, positive because it's moving to the right).
4. Calculate the net work (W_net) required using the formula W_net = KE_final - KE_initial.
Following these steps:
1. Mass = 0.043 kg
2. KE_initial = 0.5 * 0.043 kg * (-29 m/s)² = 18.0815 J
3. KE_final = 0.5 * 0.043 kg * (33 m/s)² = 23.4135 J
4. W_net = 23.4135 J - 18.0815 J = 5.332 J
Learn more about work:
https://brainly.com/question/24900258
#SPJ11
What is the maximum force of friction if a box with a weight of 4.5N is stationary on a horizontal table with a coefficient of friction of 0.30?
A 1.4N
B 15N
C 0.067N
D 4.8N
The highest frictional force is 1.35 N, which is the result that comes closest to A (1.4 N).
What will happen if a block slides downward at a steady speed on a rough inclined plane?Since the body's acceleration is determined by the differential of velocity with time, which is zero if velocity is constant, the block's steady downward motion indicates that the body's acceleration is zero. Hence, there is no net force exerted on the body.
Ff(max) = μFn
where Ff(max) is the maximum force of friction, μ is the coefficient of friction, and Fn is the normal force.
In this case, the weight of the box is the same as the normal force, so:
Fn = 4.5 N
Ff(max) = 0.30 x 4.5 N = 1.35 N
To know more about frictional force visit:-
https://brainly.com/question/30280752
#SPJ1
a parallel plate capacitor has a capacitance c0. a second parallel plate capacitor has plates with twice the cross sectional area and twice the separation. the capacitance of the second capacitor is:
The capacitance of the second parallel plate capacitor is 2c0 which is twice that of the first capacitor.
The capacitance of a parallel plate capacitor is given by the formula C = εA/d, where C is the capacitance, ε is the permittivity of the material between the plates, A is the area of each plate, and d is the separation between the plates.
If the second capacitor has plates with twice the cross sectional area, this means that A is multiplied by 2. Similarly, if the separation is twice as much, then d is also multiplied by 2.
Therefore, the capacitance of the second capacitor is:
C = ε(2A)/(2d)
C = (εA/d) x 2
C = 2c0
So the capacitance of the second parallel plate capacitor is twice that of the first capacitor.
More on capacitance: https://brainly.com/question/17176550
#SPJ11
what happens to the current through bulb b if the switch s is opened? 1. it remains the same. 2. it increases. correct 3. it decreases. 4. not enough information is given.
When switch S is closed, the circuit is complete, and current flows from the battery through the switch, bulb A, bulb B, and back to the battery. So, the correct answer is : 3.
Both bulbs receive the same current because they are connected in series. However, when the switch S is opened, the circuit is no longer complete, and the current stops flowing through the circuit. This is because the circuit will become incomplete, and no current will flow through the circuit. As a result, the bulb will not receive any electric charge, and its brightness will decrease. As a result, the bulb B receives no current and its brightness decreases to zero. Therefore, the correct answer is 3.
To know more about electric charge, here
brainly.com/question/9194793
#SPJ4
1.(1pt) it takes light approximately 8 minutes to reach the earth from the surface of the sun. the distance between jupiter and the sun is five astronomical units (5 au). how long does it take light to travel that distance?
It takes light approximately 40 minutes to travel the distance between Jupiter and the Sun.
One astronomical unit (AU) is the average distance between the Earth and the Sun, which is about 150 million kilometers or 93 million miles. Therefore, the distance between Jupiter and the Sun is 5 times that, or 750 million kilometers.
Since light travels at a speed of about 299,792 kilometers per second, it takes about 2,500 seconds or 41.67 minutes for light to travel from the Sun to Jupiter (750 million kilometers divided by 299,792 kilometers per second).
To learn more about speed of light, here
https://brainly.com/question/394103
#SPJ4
while driving at night, a vehicle coming toward you has its high beams on, making it hard for you to see the road ahead. you should:
High beams cause blindness while driving. Look right, and follow the white line till the vehicle passes to see the road.
What to do when oncoming high beams make it hard to see the road at night?When a vehicle coming toward you has its high beams on, the bright light can cause temporary blindness and make it hard to see the road ahead. This is because the bright light scatters within the eye, causing the pupil to contract and reducing the amount of light entering the eye. To avoid this, it is recommended to look towards the right edge of the road and use the white line as a guide until the vehicle passes. This will prevent temporary blindness and allow you to see the road ahead more clearly.
Learn more about driving
brainly.com/question/25351775
#SPJ11
Explain the law of conservation of mass. How is energy converted?
The law of conservation of mass states that the mass in an isolated system can neither be created nor be destroyed but can be transformed from one form to another.
How is energy converted?In the conversion of any form of energy, it obeys the law of conservation. That is to say that energy is not lost but can be converted from one form to another.
A form of energy can transform to another form when there is a change in its state.
For example, light energy in bulbs is being converted to heat energy with the bulb is lit.
Learn more about energy here:
https://brainly.com/question/25959744
#SPJ1
at what frequency would the reactance of a 14 mu or micro ff capacitor equal that of a 1.6 mh inductor?
The frequency at which the reactance of a 14 µF capacitor equals that of a 1.6 mH inductor is approximately 1063.4 Hz.
To find the frequency at which the reactance of a 14 µF capacitor equals that of a 1.6 mH inductor, you can use the following formulas for capacitive reactance (Xc) and inductive reactance (XL):
Xc = 1 / (2 * π * f * C)
XL = 2 * π * f * L
Where:
- f is the frequency in Hz
- C is the capacitance in Farads (14 µF = 14 x 10⁻⁶ F)
- L is the inductance in Henries (1.6 mH = 1.6 x 10⁻³ H)
- π is the constant Pi (approximately 3.14159)
To find the frequency where the reactances are equal, set Xc = XL:
1 / (2 * π * f * C) = 2 * π * f * L
Rearranging the equation to solve for f:
f² = 1 / (4 * π² * C * L)
Now plug in the values for C and L:
f² = 1 / (4 * π² * (14 x 10⁻⁶) * (1.6 x 10⁻³))
Calculate f²:
f² ≈ 1.13082 × 10⁶
Finally, take the square root to find the frequency:
f ≈ 1063.4 Hz
Learn more about frequency:
https://brainly.com/question/254161
#SPJ11
. a horizontal force of 200 n is applied to a 55 kg cart across a 10-m level surface. if the cart accelerates at 2.0 m/s2 , then what is the work done by the force of friction as it acts to impede the motion of the cart?
The first step to solving this problem is to calculate the net force acting on the cart. To do this, we need to use Newton's second law, which states that the net force is equal to the mass of the object multiplied by its acceleration. So, in this case, the net force on the cart is:
Net force = (55 kg)(2.0 m/s^2) = 110 N
Next, we need to determine the force of friction acting on the cart. We know that it is acting in the opposite direction to the applied force, so it is equal in magnitude to the net force but in the opposite direction. Therefore, the force of friction is:
Force of friction = -110 N
Finally, we can use the formula for work, which is:
Work = force x distance x cos(theta)
where theta is the angle between the force and the direction of motion. In this case, the force of friction is acting opposite to the direction of motion, so theta is 180 degrees and cos(theta) is -1.
The distance traveled by the cart is 10 m, so we can plug in the values and get:
Work = (-110 N)(10 m)(-1) = 1100 J
Therefore, the work done by the force of friction as it acts to impede the motion of the cart is 1100 J.
To know more about Newton's second law :
https://brainly.com/question/13447525
#SPJ11
at the orbit of venus (67 million km from the sun), the apparent brightness (in units of watts/m2) is:
The apparent brightness of the Sun at the orbit of Venus is about 2612 watts/m².
How to determine apparent brightness?This is because the brightness of the Sun decreases with distance from the Sun, following an inverse square law. At a distance of 67 million km from the Sun, the apparent brightness is reduced by a factor of (1 / 0.723)², which is approximately 1.91.
Therefore, the apparent brightness of the Sun at the orbit of Venus is the product of the solar constant (1361 watts / m²) and this reduction factor, which is approximately 2612 watts / m².
Find out more on apparent brightness here: https://brainly.com/question/28596158
#SPJ1