To determine the height at which the manhole cover will be dislodged, we need to consider the pressure exerted by the raw sewage on the manhole cover.
The pressure exerted by a fluid is given by the equation:
P = ρgh
where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column.
In this case, the density of the raw sewage is given as 1000 kg/m^3 and the acceleration due to gravity is approximately 9.8 m/s^2.
Let's calculate the pressure exerted by the raw sewage on the manhole cover. Since the manhole cover is circular and has a diameter of 80 cm, its radius is 40 cm or 0.4 m.
The pressure on the manhole cover is equal to the weight of the fluid column above it, so we can equate the pressure to the weight of the fluid:
P = ρgh = mg
where m is the mass of the fluid column above the manhole cover.
The mass of the fluid column is equal to the density multiplied by the volume:
m = ρ * V
The volume of the fluid column is equal to the area of the circular opening multiplied by the height:
V = πr^2 * h
Substituting these values, we have:
P = ρgh = (ρ * V) * g = ρ * πr^2 * h * g
Now we can solve for the height h:
h = P / (ρ * πr^2 * g)
Given that the mass of the manhole cover is 200 kg, the weight is:
weight = mg = 200 kg * 9.8 m/s^2 = 1960 N
Substituting the values into the equation, we get:
h = 1960 N / (1000 kg/m^3 * π * (0.4 m)^2 * 9.8 m/s^2)
Simplifying the calculation, we find:
h ≈ 1.98 m
Therefore, the height (h) at which the manhole cover will be dislodged and raw sewage will leak out onto the street is approximately 1.98 meters.
Learn more about Manhole cover here:
https://brainly.com/question/30777186
#SPJ11
light of wavelength l passes through a single slit of width a and forms a diffraction pattern on a screen. if the this light is replaced by light of wavelength 2l , the original diffraction pattern is reproduced if the slit width is changed to
When the light of wavelength l is replaced by light of wavelength 2l, the original diffraction pattern can be reproduced by changing the slit width to a value of d sinθ.
When light passes through a single slit of width a, it creates a diffraction pattern on a screen, where the light waves interfere with each other and produce bright and dark fringes. The diffraction pattern is directly related to the wavelength of the light and the width of the slit.
If the light of wavelength l is replaced by light of wavelength 2l, the diffraction pattern will also change because the distance between the bright and dark fringes is proportional to the wavelength. However, if the original diffraction pattern is to be reproduced, the slit width must be changed to maintain the same distance between the fringes.
The relationship between the distance between the fringes and the slit width is given by the following equation:
d sinθ = mλ
where d is the distance between the slit and the screen, θ is the angle between the direction of the incoming light and the direction of the diffracted light, m is the order of the fringe, and λ is the wavelength of the light.
For the original light of wavelength l, let the distance between the fringes be given by Δy. Then, we have:
Δy = mλl/d sinθ
For the new light of wavelength 2l, the distance between the fringes should also be Δy. Thus, we have:
Δy = m(2λ)l/d sinθ
Equating these two expressions for Δy, we get:
mλl/d sinθ = m(2λ)l/d sinθ
Simplifying, we get:
a = d sinθ
where a is the new slit width required to reproduce the original diffraction pattern. Therefore, if the light of wavelength l is replaced by light of wavelength 2l, the original diffraction pattern can be reproduced by changing the slit width to a value of d sinθ.
Know more about fringes here:
https://brainly.com/question/27548790
#SPJ11
what is the focal length of a lens with p = 4.0 diopters? what is the focal length of a lens with p = -2.0 diopters?
The focal length of a lens with p = 4.0 diopters is 25 cm and the focal length of a lens with p = -2.0 diopters is -50 cm.
The focal length f of a lens with power p in diopters is given by:
f = 1/p
Using this formula, we can calculate the focal lengths of the given lenses as follows:
For a lens with p = 4.0 diopters:
f = 1/p = 1/4.0 = 0.25 meters = 25 centimeters
So, the focal length of the lens is 25 cm.
For a lens with p = -2.0 diopters:
f = 1/p = 1/-2.0 = -0.5 meters = -50 centimeters
So, the focal length of the lens is -50 cm, which means it is a diverging lens (since its focal length is negative).
To learn more about Focal length click here
https://brainly.com/question/16188698
#SPJ11
for the series circuit in the previous part, change the resistance of the bottom resistor to 20 ωω . what is the voltage across this 20- ωω resistor?
In a series circuit, the total resistance is the sum of all individual resistances. So, if the bottom resistor is changed to 20 ω, the total resistance of the circuit will increase.
The voltage across the resistor can be found using Ohm's law, which states that voltage (V) is equal to the current (I) times the resistance (R), or V=IR.
Assuming a constant current flow through the circuit, the voltage across the 20 ω resistor can be found by using the total resistance of the circuit. Let's say the total resistance is 100 ω. If the current through the circuit is 1A, then using Ohm's law, the voltage across the 20 ω resistor would be V=IR=1A x 20 ω = 20V.
Therefore, if the resistance of the bottom resistor in a series circuit is changed to 20 ω, the voltage across it will depend on the total resistance and current of the circuit. In the example above, the voltage across the 20 ω resistor would be 20V.
To Learn more about Ohm's law, Click this!
brainly.com/question/30550872
#SPJ11
a force of two pounds stretches a spring one inch. how much work isrequired to pull the spring an entire foot? express your answer in foot-pounds.
It would take 0.0625 foot-pounds of work to pull the spring an entire foot.
The work done on a spring is given by the formula:
W = FdS
where W is the work, F is the force applied, d is the displacement of the spring, and S is the spring constant.
Substituting the given values, we get:
W = 2lb * 1in
W = 2 * 0.0247 lb * 1 in * 1 ft/in
W = 0.00055 ft-lbf
To convert ft-lbf to foot-pounds, we multiply by 12:
W = 0.00055 ft-lbf * 12
W = 0.0625 ft-lbf
Therefore, it would take 0.0625 foot-pounds of work to pull the spring an entire foot.
Learn more about foot-pounds
https://brainly.com/question/9898530
#SPJ4
All of the following are phases of the stretch-shortening cycle EXCEPT
a. amortization.
b. concentric.
c. eccentric.
d. isometric.
Isometric contractions are contractions in which the muscle length does not change. They are not part of the stretch-shortening cycle. The correct option is D
What is stretch-shortening cycle ?A physiological concept known as the stretch-shortening cycle (SSC) defines the sequential blending of eccentric (muscle lengthening) and concentric (muscle shortening) muscle activities.
The stretch-shortening cycle (SSC) is a muscle action comprised of three phases such as :
The eccentric phase The amortization phaseThe concentric phaseTherefore, Isometric contractions are contractions in which the muscle length does not change. They are not part of the stretch-shortening cycle.
Learn more about stretch-shortening cycle here : brainly.com/question/31930133
#SPJ1
A laser beam is traveling from glass, n=1.76, to an unknown material. The incident angle is 25 degrees and the refracted angle is 35 degrees. Calculate the index of refraction for the unknown material.
Your Answer:
The index of refraction for the unknown material is 2.52.
When a laser beam travels from one medium to another, the speed and direction of the beam can change depending on the refractive indices of the two media.
The refractive index, denoted by "n", is a dimensionless quantity that describes how much light is bent when passing through a medium.It is characterized as the proportion of the speed of light in a vacuum to the speed of light in the medium.
In this problem, we are given that the incident angle of the laser beam is 25 degrees and the refracted angle is 35 degrees as it travels from glass (n=1.76) to an unknown material.
Utilizing Snell's regulation, which expresses that the proportion of the sines of the points of frequency and refraction is equivalent to the proportion of the refractive records of the two media, we can find the index of refraction for the unknown material:
sin(25) / sin(35) = n_glass / n_unknown
where n_glass is the refractive index of glass, which is given as 1.76. Solving for n_unknown, we get:
n_unknown = n_glass * sin(35) / sin(25) = 2.52
Therefore, the index of refraction for the unknown material is 2.52.
For more such questions on refraction, click on:
https://brainly.com/question/27932095
#SPJ11
a small piece of steel is tied to a block of wood. when the wood is placed in a tub of water with the steel on top, half of the block is submerged. if the block is inverted so that the steel is underwater, does the amount of the block submerged increase, decrease, or remain the same? decreases increases remains the same correct: your answer is correct. what happens to the water level in the tub when the block is inverted? remains the same increases decreases correct: your answer is correct. explain both answers.
When the block is inverted so that the steel is under water, the amount of the block submerged will remain the same. The portion of the block that was previously above the water level will now be submerged, while the portion that was submerged will now be above the water level.
In summary, when the block is inverted, the amount of the block submerged will increase and the water level in the tub will decrease. This is because the weight of the block acting on the submerged portion of the block is greater than the weight of the submerged portion of the block, causing the block to be lifted out of the water, and the volume of the submerged portion of the block is greater than the volume of the block, causing the water level to decrease.
Learn more about submerged portion
https://brainly.com/question/16193547
#SPJ4
Full Question ;
O A small piece of steel is tied to a block of wood. When the wood is placed in a tub of water with the steel on top, half of the block is submerged. Now the block is inverted so that the steel is under water. (i) Does the amount of the block submerged (a) increase, (b) decrease, or (c) remain the same? (ii) What happens to the water level in the tub when the block is inverted? (a) It rises. (b) It falls. (c) It remains the same.
what is the mass defect for fe-56 which has a mass of 55.934939 amu
The main answer to your question is that the mass defect for Fe-56 with a mass of 55.934939 amu can be calculated using the following formula:
Mass defect = (Z * mass of proton + (A - Z) * mass of neutron) - actual mass of the isotope
In this case, Z (the number of protons) is 26 for iron, and A (the mass number) is 56. The mass of a proton is approximately 1.007276 amu, and the mass of a neutron is approximately 1.008665 amu.
Using these values, the mass defect can be calculated as follows:
Mass defect = (26 * 1.007276 + (56 - 26) * 1.008665) - 55.934939
Mass defect = (26.189576 + 30.22634) - 55.934939
Mass defect = 56.415916 - 55.934939
Mass defect = 0.480977 amu
In summary, the mass defect for Fe-56 with a mass of 55.934939 amu is approximately 0.480977 amu.
Learn more about mass click here:
https://brainly.com/question/86444
#SPJ11
Air at a pressure of 6 ��/�2kN/m 2and a temperature of 300°C flows with a velocity of 10 m/s over a flat plate 0.5 m long. Estimate the cooling rate per unit width of the plate needed to maintain it at a surface temperature of 27°C.
To maintain the plate at a surface temperature of 27°C, a cooling rate per unit width of -0.25°C/s is needed.
To estimate the cooling rate per unit width of the plate, we need to determine the heat transfer coefficient (h) and the thermal conductivity of the plate (k).
The heat transfer coefficient (h) is dependent on the velocity of the air and the properties of the fluid. Since we know the velocity of the air is 10 m/s, we can estimate h using empirical correlations. For laminar flow over a flat plate, the Nusselt number (Nu) can be calculated using the Reynolds number (Re) and the Prandtl number (Pr). Using the values provided, we can estimate Re and Pr to be 5872 and 0.70, respectively. Therefore, Nu = 0.664(Re)^(1/2)(Pr)^(1/3) = 96.8. Using the formula h = (Nu*k)/d, where d is the distance between the plate and the fluid, we can estimate h to be 38.7 W/(m^2.K).
Next, we need to calculate the heat transfer rate per unit width of the plate (q"). This can be estimated using q" = h*(T_surface - T_infinity), where T_surface is the desired surface temperature (27°C) and T_infinity is the temperature of the fluid (300°C). Therefore, q" = 38.7*(27-300) = -6171 W/m^2.
Finally, we can calculate the cooling rate per unit width of the plate needed to maintain the desired surface temperature. This can be estimated using q"/(ρ*Cp), where ρ is the density of the plate material and Cp is its specific heat capacity. Assuming the plate material is aluminum, we can estimate ρ and Cp to be 2700 kg/m^3 and 900 J/(kg.K), respectively. Therefore, the cooling rate per unit width of the plate is -0.25°C/s.
In conclusion, to maintain the plate at a surface temperature of 27°C, a cooling rate per unit width of -0.25°C/s is needed.
To know more about cooling rate visit:
https://brainly.com/question/28520368
#SPJ11
At time t = 0, a bottle of juice at 90 degree F is stood in a mountain stream whose temperature is 53 degree F. After 5 minutes, its temperature is 80 degree F. Let H(t) denote the temperature of the juice at time t, in minutes. (a) Write a differential equation for H(t) using Newton's Law of Cooling. (Do not solve for k.)
(b) Solve the differential equation. (Round your value of k to five decimal places.)
(a) To write a differential equation for H(t) using Newton's Law of Cooling, we can use the formula:
H'(t) = -k(H(t) - T_s)
where H'(t) represents the derivative of H with respect to time, k is the cooling constant, H(t) is the temperature of the juice at time t, and T_s is the temperature of the surrounding medium (mountain stream in this case).
The negative sign in front of the equation indicates that the temperature of the juice decreases over time.
(b) This is the differential equation. H(t) = (90 - T_s) * e^(-kt) + T_s
To solve the differential equation, we need initial conditions. In this case, we know that at t = 0, the temperature of the juice is 90 degrees F, so we have the initial condition:
H(0) = 90
Now, let's solve the differential equation:
H'(t) = -k(H(t) - T_s)
Separate variables and integrate:
1 / (H(t) - T_s) dH = -k dt
Integrating both sides:
∫1 / (H(t) - T_s) dH = -k ∫dt
ln|H(t) - T_s| = -kt + C
Exponentiate both sides:
|H(t) - T_s| = e^(-kt + C)
Since the absolute value can be eliminated, we can write:
H(t) - T_s = ± e^C * e^(-kt)
Let A = ± e^C, which is a positive constant. Therefore:
H(t) - T_s = A * e^(-kt)
Rearrange the equation:
H(t) = A * e^(-kt) + T_s
Now, we can apply the initial condition H(0) = 90:
90 = A * e^(-k * 0) + T_s
90 = A + T_s
A = 90 - T_s
Substituting A back into the equation, we have:
H(t) = (90 - T_s) * e^(-kt) + T_s
This is the solution to the differential equation. The value of k can be determined by using the given information about the temperature of the juice after 5 minutes (t = 5).
To know more about Newton's Law of Cooling, please click on:
https://brainly.com/question/30591664
#SPJ11
what is the largest angle the angular momentum vector can make with the z axis for a hydrogen atom in the n = 4, l = 3 state?
For a hydrogen atom in the n = 4, l = 3 state, the largest angle the angular momentum vector can make with the z axis is zero degrees. The maximum value of the z-component of the angular momentum vector occurs when the vector is pointing in the direction of the z axis.
The angular momentum of an electron in a hydrogen atom can be described by the quantum numbers n and l. The value of l determines the magnitude of the orbital angular momentum and the direction in which it points. For a given value of n, the maximum value of l is n-1. In the case of the n = 4 state, the maximum value of l is 3.
The angular momentum vector can be expressed as the product of the magnitude of the angular momentum and the unit vector in the direction of the angular momentum. Therefore, the largest angle the angular momentum vector can make with the z axis is zero degrees.
To know more about atom visit :-
https://brainly.com/question/4755011
#SPJ11
true or false: the current heading according to the gyro sensor is used to determine which direction to turn with the [turn to heading] block.
The given statement "the current heading according to the gyro sensor is used to determine which direction to turn with the [turn to heading] block" is true because gyro sensor is used to know which way it turns.
In robotics programming, the gyro sensor is often used to measure the robot's rotation or angular velocity. It can also be used to determine the robot's current heading or direction relative to a starting point. This information can then be used to navigate the robot in a particular direction or to turn it to a specific heading.
In the case of the [turn to heading] block, the current heading according to the gyro sensor is used to determine which direction the robot needs to turn in order to reach the desired heading. For example, if the robot's current heading is 90 degrees and it needs to turn to a heading of 180 degrees, the block will calculate that it needs to turn left.
To learn more about gyro sensor click on,
https://brainly.com/question/31934286
#SPJ4
a ladder of mass m is at rest leaning against a wall and makes an angle. what is the force of static friction on the ladder from the ground?
The answer to the question is dependent on several factors, such as the angle of the ladder, the coefficient of static friction between the ladder and the ground, and the weight of the ladder. Without this information, it is not possible to provide a specific answer to the question.
However, in general, the force of static friction on the ladder from the ground can be calculated using the equation F_friction = μ_s*N, where μ_s is the coefficient of static friction and N is the normal force acting on the ladder. The normal force is the force perpendicular to the surface the ladder is resting on and is equal in magnitude to the weight of the ladder. Therefore, the force of static friction can be increased by increasing the coefficient of static friction or the weight of the ladder, or by decreasing the angle between the ladder and the ground. It is important to note that the force of static friction must be greater than or equal to the weight of the ladder in order for the ladder to remain at rest.
To learn more about normal force : brainly.com/question/13622356
#SPJ11
HELP ME PLEASE I NEED IT ALL WORK IN IS THE PICTURE
The mechanical advantage of the given pulley system is 3.
Through the use of a tool or system, mechanical advantage is the force multiplier. By definition, a tool or machine will give off a lesser input force over a longer distance for the same amount of work as a larger force over a shorter distance.
In a pulley system, the mechanical advantage is directly proportional to the number of strands connecting to the mass through movable pulleys.
a) Therefore, the mechanical advantage of the given pulley system,
IMA = 3
b) The force or effort applied to pull the weight,
F = Weight/IMA
F = 500/3
F = 166.66 N
c) The efficiency of the machine,
η = IMA/No. of pulleys used
η = 3/3 x 100
η = 100%
To learn more about mechanical advantage, click:
https://brainly.com/question/1303344
#SPJ1
A bug on the surface of a pond is observed to move up and down a total vertical distance of 0.18m , lowest to highest point, as a wave passes.
What is the amplitude of the wave?
If the amplitude increases to 0.23m , by what factor does the bug's maximum kinetic energy change?
To answer your question, the amplitude of the wave can be found by dividing the total vertical distance (0.18m) by 2 since amplitude is the distance from the wave's equilibrium position to the highest or lowest point. Thus, the amplitude is 0.09m.
When the amplitude increases to 0.23m, you can determine the factor by which the bug's maximum kinetic energy changes using the relationship between kinetic energy and amplitude. Kinetic energy is directly proportional to the square of the amplitude.
Therefore, to find the factor, you can use the ratio of the squares of the new amplitude (0.23m) and the original amplitude (0.09m).
Factor = (0.23^2) / (0.09^2) ≈ 6.58
So, the bug's maximum kinetic energy increases by a factor of approximately 6.58 when the amplitude increases to 0.23m.
To Learn more about equilibrium Click this!
brainly.com/question/30528425
#SPJ11
When a nurse aide wears gloves which link the chain of infection is broke?
Answer:
portal of entry link
Explanation:
This what I got hope that helps
if the circuit has a total resistance of .075 ohms and is connected to a 240-volt source that feeds a load drawing 24 amperes, what is the amount of voltage drop?
The voltage drop across the circuit is 1.8 volts.
To solve this problem
We can use Ohm's law to find the voltage drop:
[tex]V = IR[/tex]
where
V is the voltage dropI is the currentR is the resistanceIn this instance, we are aware that the circuit's overall resistance is 0.075 ohms and that the load is using 24 amps of current. In light of this, the voltage drop across the circuit can be determined as follows:
V = 24 A * 0.075 ohms = 1.8 volts
Therefore, the voltage drop across the circuit is 1.8 volts.
Learn more about Ohm's law here : brainly.com/question/19892453
#SPJ1
Which outcome is a potential result of damage to the ozone layer?
a. A shortage of chlorofluorocarbons needed for refrigeration.
b. Leaks of freon emissions from the Sun that cause skin cancer on Earth.
c. Disruption of food chains and other sources of life on Earth.
d. Ultraviolet radiation in the stratosphere would be completely absorbed.
e. Humans and plants would grow too large in size under UV light.
The correct option is c. Disruption of food chains and other sources of life on Earth. Damage to the ozone layer and the subsequent increase in UV radiation can lead to the disruption of food chains
Damage to the ozone layer, primarily caused by the release of certain chemicals like chlorofluorocarbons (CFCs) and halons, can result in increased levels of harmful ultraviolet (UV) radiation reaching the Earth's surface. This excessive UV radiation can have various detrimental effects on the environment and ecosystems.
One significant consequence of increased UV radiation is the disruption of food chains. UV radiation can harm phytoplankton, which are vital primary producers in aquatic ecosystems. Phytoplankton form the base of the food chain and are consumed by zooplankton, which are then consumed by larger organisms. If phytoplankton populations decline due to increased UV radiation, it can disrupt the entire food chain, affecting higher trophic levels including fish, marine mammals, and birds.
Therefore, damage to the ozone layer and the subsequent increase in UV radiation can lead to the disruption of food chains and other sources of life on Earth, making option c the potential result.
To know more about ozone layer, visit;
https://brainly.com/question/29795386
#SPJ11
what is responsible for the mottled appearance of the sun's surface known as granulation?
The mottled appearance of the Sun's surface, known as granulation, is primarily caused by convective motion in the Sun's outer layer, known as the photosphere.
The granulation pattern arises due to the convection currents that transport heat from the Sun's interior to the surface. As the hot plasma rises, it creates bright regions, or granules, on the surface. These granules represent areas of hotter plasma where the rising material is visible. Simultaneously, the cooler plasma sinks back into the interior, forming darker regions known as intergranular lanes.
The granulation pattern is a manifestation of the complex and dynamic nature of the Sun's outer layers. It is indicative of the convective motions occurring within the Sun, with rising and sinking plasma continuously reshaping the photosphere. The granulation pattern is visible when observing the Sun's surface at high spatial resolution, such as through telescopes equipped with specialized filters or instruments.
To know more about granulation please visit:
https://brainly.com/question/31042365
#SPJ11
pneumoencephalography (peg) can be considered a more sophisticated version of positron emission tomography (pet) true false
False. A pneumoencephalography (peg) cannot be considered a more sophisticated version of positron emission tomography (pet)
Define pneumoencephalography
Pneumoencephalography is a diagnostic radiology procedure that creates head X-ray images after injecting air or gas between the membranes lining the brain and spinal cord to highlight the contours of distinct brain structures.
Positron emission tomography (PET) is a method for assessing physiological function by examining neurotransmitters, blood flow, metabolism, and radiolabeled medicines.
A PET scan can be used to detect cancerous tumor cells and to identify diseases like epilepsy. A vein is injected with a little quantity of radioactive glucose (a sugar). Wherever glucose is being used in the brain is visualized by the PET scanner as it rotates around the body.
To learn more about Positron emission tomography use:
https://brainly.com/question/18221884
#SPJ4
A block of mass m = 4 kg is initially at rest on a sloped ground. The coefficient of friction between the block and ground is μ = 0.625, and gravity g = 9.8 m/s2 acts vertically. What is the maximum angle θ of the ground so that the block will not slide? θ = ____________
The maximum angle θ of the ground so that the block will not slide is approximately 32.01°.
To determine the maximum angle θ at which the block will not slide, we need to analyze the forces acting on the block. The force due to gravity (Fg) acts vertically downward and can be calculated as:
Fg = mass *gravity
Fg = 4 kg * 9.8 m/s²
Fg = 39.2 N
This gravitational force can be divided into two components - one parallel (Fp) and one perpendicular (Fv) to the slope. The parallel component causes the block to slide while the perpendicular component keeps it in contact with the ground. The angle θ is the angle between the slope and the horizontal plane.
Fp = Fg * sin(θ)
Fv = Fg * cos(θ)
The frictional force (Ff) opposes the motion and is determined by the normal force (N) and the coefficient of friction (μ).
Ff = μ * N
In this case, N equals Fv since there are no other forces acting in the vertical direction.
Ff = μ * Fv
Ff = 0.625 * (39.2 * cos(θ))
For the block not to slide, the frictional force must be greater than or equal to the parallel component of gravitational force.
Ff ≥ Fp
Substitute the expressions for Ff and Fp:
0.625 * (39.2 * cos(θ)) ≥ 39.2 * sin(θ)
Now, divide both sides by 39.2 and rearrange the equation:
tan(θ) ≤ μ
tan(θ) ≤ 0.625
To find the maximum angle θ, use the inverse tangent function:
θ = arctan(0.625)
θ ≈ 32.01°
Thus, the maximum angle θ of the ground so that the block will not slide is approximately 32.01°.
learn more about normal force Refer: https://brainly.com/question/26497411
#SPJ11
When light is reflected, the angle of incidence
(i) equals the angle of reflection (r). Find the
values of the angles x and y.
reflected ray
y
normal
30° 30°
mirror
X
incident ray
Not drawn accurately
Hey! Hope this is what you're looking for !
In the given image, we have a right triangle with a vertical side of length 5 and a horizontal side of length 12. We are asked to find the length of the hypotenuse.
Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can calculate the length of the hypotenuse.
Let's denote the hypotenuse as c. The Pythagorean theorem equation for this triangle is:
c^2 = 5^2 + 12^2
c^2 = 25 + 144
c^2 = 169
Taking the square root of both sides, we find:
c = √169
c = 13
Therefore, the length of the hypotenuse (c) is 13 units.
The angles x and y are both equal to the angle of incidence, which is 30°.
Explanation:According to the law of reflection, the angle of incidence is equal to the angle of reflection. In this case, the angle of incidence (i) is given as 30°.
Since the angle of incidence is equal to the angle of reflection, the angle of reflection (r) will also be 30°.
To find the values of angles x and y, we can use the fact that the angle of incidence is equal to the angle of reflection. Since x is the angle between the incident ray and the mirror, and y is the angle between the reflected ray and the mirror, both x and y will be equal to the angle of incidence, which is 30° in this case.
Learn more about Reflection of Light:https://brainly.com/question/15261733
#SPJ2
A 60 Hz sine wave completes cycles every 10 seconds. Select one: .O a. 1/16 .O b. 10 .O c. 600 . O d. 6
The number of cycles a 60 Hz sine wave completes every 10 seconds , This is because a 60 Hz wave completes 60 cycles in 1 second, so in 10 seconds, it will complete 60 x 10 = 600 cycles.
A 60 Hz sine wave means that the wave completes 60 cycles per second. Given that the wave completes cycles every 10 seconds.
60 cycles/second * 10 seconds = 600 cycles
So in 10 seconds, the sine wave completes 600 cycles.
Finally, to find how many cycles are completed in 1/60th of a second (the period of a 60 Hz sine wave), the cycles per second by the frequency:
60 cycles/second / 60 cycles/second = 1 cycle/second
So the sine wave completes 1 cycle in 1/60th of a second, or 6 cycles in 1/10th of a second.
To know more about wave visit :-
https://brainly.com/question/15139904
#SPJ11
a pair of 15-watt computer speakers are connected to a 12-volt power supply. what is the electric current running through the speakers?
The current running through the speakers is 2.5A
What is electrical power?Electric power is the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is the watt or joule per second.
Power can also be defined as the product of the voltage and current.
therefore power = VI
The total power of the two speakers = 15+15
= 30W
30W = 12 I
divide both sides by 12
I = 30/12
I = 2.5A
Therefore the current that will flow in the two speakers is 2.5A
learn more about electrical power from
https://brainly.com/question/29395271
#SPJ1
The potential energy, at x =8 m is -2000 V and at x = 2 m is +400 V. What is the magnitude and direction of the electric field? A) 200 V/m directed parallel to the +x-axis B) 300 V/m directed parallel to the +x-axis C) 400 V/m directed parallel to the +x-axis D) 500 V/m directed parallel to the +-x-axis E) 600 V/m directed parallel to the +x- axis
The correct answer is option B) 300 V/m directed parallel to the +x-axis. The electric field is given by the negative gradient of the potential energy.
Explanation:
The electric field is given by the negative gradient of the potential energy. Using the formula E = -dV/dx, we can calculate the electric field at any point.
In this case, the potential energy changes from -2000 V to +400 V over a distance of 8 m - 2 m = 6 m.
Therefore, the magnitude of the electric field is:
|E| = |-dV/dx| = |(400 V - (-2000 V))/(8 m - 2 m)| = 300 V/m
The electric field is directed parallel to the +x-axis, because the potential energy is decreasing in the +x direction, which means the electric field is pointing in the opposite direction.
Hence, the correct answer is B) 300 V/m directed parallel to the +x-axis.
learn more about electric field here:
https://brainly.com/question/15800304
#SPJ11
The measurement of how far the particles are pushed from their ____________ is called amplitude.
Answer:
The measurement of how far the particles are pushed from their equilibrium position is called amplitude.
Explanation:
The measurement of how far the particles are pushed from their equilibrium position is called amplitude.
The tunnel is designed so that the trains go up a slope as they enter the station and go down a slope as they leave. The driver uses brakes to stop the train in the station and a motor to make the train move away. Explain how the sloping parts of the tunnel affect the amount of work that needs to be done on the train by the breaks and the motor.
The section concerning the sloping parts of the tunnel gradually provides an impact to the total amount of work that has to be done on the train by applying the brakes and the motor due to the gravitational force acting upon the train.
In an incident when the train ranges up a slope as it reaches the station, work is done on the passengers against gravity to lift them to a higher point. When the train travels down a slope as it leaves, gravity helps to pull the train down. The driver applies brakes to stop the train in the station and a motor to make the train move away.
Hence, going up a slope, required more work in comparison to traveling down the slope as in the prior gravity is applied in the opposite force to the direction in which the train is traveling and in the later the gravity moves in the same direction as the direction of the train.
To learn more about gravity
https://brainly.com/question/24553858
#SPJ1
Evidence of a supermassive black hole at the center of the Milky Way comes from (choose all that apply) a. direct observations of stars that orbit it. b. X-rays from material that is falling in. c. strong radio emission from the region of the accretion disk. d. the abundance of dark matter in the galaxy.
a. direct observations of stars that orbit it.
b. X-rays from material that is falling in.
c. strong radio emission from the region of the accretion disk.
These three pieces of evidence are commonly used to support the existence of a supermassive black hole at the center of the Milky Way. The orbits of stars near the center of the galaxy can be measured and used to infer the mass of the central object. X-ray emission from hot gas near the black hole's event horizon can also be observed, as can strong radio emission from material in the accretion disk around the black hole. The abundance of dark matter in the galaxy is not directly related to the existence of the black hole.
To know more about black hole click this link -
brainly.com/question/31869219
#SPJ11
out of the two most basic types of artificial light mentioned, which would be spotlights and floodlights, which one does blade runner use the most?
In the movie Blade Runner, spotlights are used more frequently than floodlights. Spotlights are often employed to create focused,
directional lighting that highlights specific objects or areas. They provide a concentrated beam of light that can be precisely directed, making them suitable for highlighting key elements or characters in a scene. This use of spotlights helps to create a visually dramatic and atmospheric environment in the film, emphasizing certain details and enhancing the overall cinematic experience. Floodlights, on the other hand, offer a broader and more diffused illumination, often used for general lighting purposes or to cover larger areas. However, in Blade Runner, the predominant use of spotlights adds to the noir-inspired aesthetic and enhances the futuristic ambiance of the film.:
Learn more about Floodlights, here;
https://brainly.com/question/13836200
#SPJ11
what is the volume of seawater that has mass of 1500 g? [rho seawater = 1.025 kg/m 3)
To find the volume of seawater with a mass of 1500 g, we can use the formula:
Volume (V) = Mass (m) / Density (ρ)
First, we need to convert the mass of seawater to kilograms (kg):
1500 g = 1.5 kg
Next, we'll use the given density of seawater, ρ = 1.025 kg/m³. Now, we can plug the values into the formula:
V = 1.5 kg / 1.025 kg/m³ ≈ 1.4634 m³
So, the volume of seawater with a mass of 1500 g is approximately 1.4634 cubic meters (m³).
For more question like volume of seawater visit the link below:
https://brainly.com/question/30115012
#SPJ11