Explanation:
speed = distance/time
distance/speed = distance / distance/time = time
when we define the equations, we must be careful to use the same scales as in the given numbers.
as we are dealing with km/h for speed, we need to have distance measured in km, and time in hours.
6 minutes is therefore 1/10 of an hour (1 hour = 60 minutes).
distance/30 = x - 1/10
distance/20 = x + 1/10
we subtract equation 2 from equation 1 :
distance/30 = x - 1/10
- distance/20 = x + 1/10
-----------------------------------
distance/30 - distance/20 = -2/10
we multiply by 60 to eliminate all fractions :
2×distance - 3×distance = -2×6 = -12
-distance = -12
distance = 12 km
x = the travel time to arrive on time.
distance/30 = x - 1/10
12/30 = x - 1/10
12 = 30x - 3
15 = 30x
x = 15/30 = 0.5 hours = 30 minutes
so, he has half an hour for his 12 km trip to work to arrive precisely on time.
that means his average speed for that must be
12/0.5 = 24/1 = 24 km/h
a bowling ball is dropped from a height h onto the center of a trampoline, which launches the ball back up into the air. how high will the ball rise?
If a bowling ball is dropped from a height h onto the center of a trampoline, which launches the ball back up into the air, the ball will rise to a height less than h.
Some of the energy of the bowling ball is transferred to the trampoline as friction. Also in its motion, there will be air friction. So, clearly energy is lost. So the ball will not reach the height from which it was launched.
Additionally, a trampoline cannot fully provide the velocity with which it reached the trampoline. Because efficiency of any machine is always less than one. So, this is also a reason why the bowling ball cannot reach its initial height.
Therefore, if a bowling ball is dropped from a height h onto the center of a trampoline, which launches the ball back up into the air, the ball will rise to a height less than h.
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what is the difference between air resistance and friction?
Answer:Friction is a force that opposes the motion of objects; friction can cause objects to slow down. Air resistance is a type of friction. Air resistance causes moving objects to slow down. Different physical properties, such as the shape of an object, affect the air resistance on an object.
Explanation:
Courtney was driving 32M/S when she apply the brakes. Assuming constant deceleration what was her average speed if she came to a stop in 4.0 seconds?
8m/s is her average speed if she came to a stop in 4.0 seconds.
What are the typical speeds and an illustration?The distance traveled overall divided by the time interval yields the average speed. For instance, if it takes a person 40 minutes to travel 20 miles north, 20 miles south, and finally 20 miles in between, their average speed is 40 miles divided by 40 minutes, or 1 mile per minute (60 mph).
To comprehend the speed at which a journey occurs, average speed is crucial. The speed may occasionally change while traveling. Finding the average speed becomes crucial in this situation so that you can get an idea of how quickly the journey will be finished.
Average speed = distance/time
Average speed = 32/4
Average speed = 8m/s.
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A box sliding down an inclined plane attains a velocity of 27 m/s in 3 seconds from rest. Find the acceleration.
The acceleration is 9 m/s².
Solution:
u = 0
V = 27m/s.
t = 3s.
V = u + at
27 = 0 + a x 3
a = 27/3 = 9 m/s².
Acceleration is the rate of change of velocity over time, both in terms of velocity and direction. A point or object moving in a straight line accelerates as it accelerates or decelerates. Circumferential motion is accelerated because it always changes direction even at constant velocity.
Acceleration is the change in velocity over time. Whenever a change in velocity or acceleration in the direction of movement occurs. At constant velocity, acceleration is zero. Deceleration is called negative acceleration or deceleration.
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Typically, astronomers express the right ascension of a star on the sky in what units?.
Typically, astronomers express the right ascension of a star on the sky in hours, minutes, and seconds.
The positions of the stars in relation to one another are largely constant. Orion and Taurus are constantly converging. Draco is always near Ursa Minor. When we look at the sky, the stars are a never-ending backdrop painting that barely move in relation to one another.
There are some minute movements as we orbit the sun throughout the year. Stars closer to us move more left and right than stars farther away. It makes sense, even if it only has a small impact. If you keep your eyes fixed out into the distance as you walk down the street, you'll notice that objects farther away move less in relation to you than ones closer to you.
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if both wires are carrying a current of 6.5 a, what is the magnitude of the magnetic field, in teslas, at point p?
The magnetic field's strength at point p is 3.16*10-5 T, which is measured in teslas. A magnetic field is indeed a vector field that explains the magnetic impact on moving electric charges, pulsed electrical.
what is Simple definition of a magnetic field?Around a magnet, where magnetism is present, is a region known as the magnetic field. To represent the distribution of the magnetic force in the area surrounding and inside something magnetic in nature, we utilize the magnetic field as a tool.
How exactly can the magnetic field operate?South and north poles are present in every magnet. In contrast to each other repelling each other, opposite poles are drawn to one another. The north-seeking poles of the iron's atoms align in the same direction when you run a piece of iron along a magnet. A magnetic field is created as a result of the force produced by the aligned atoms.
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an 82-kg stunt man falls off the top of a large building. after falling for 65 meters he has a speed of 22 m/s. assuming he was initially at rest, what was the average force of air resistance exerted on the stunt man during his fall?
The average drag force on the stuntman during a fall is 305.29 N. force is a push or a pull.
.
Start by collecting the kinetic energy of the stuntman.
Mass (m) = 82 kg
Velocity (v) = 22 m/s
Kinetic Energy (KE) =?
KE = 19844 J
Finally, determine the average drag applied to the stunt. This is obtained as follows:
Distance = 65 meters
Energy = 19844 J
Average force =?
Energy = Work
Work (W) = Force (F) × Displacement (d)
W = Fd
So
E = W = Fd
19844 = F × 65
Divide both sides 65
F = 19844 / 65
F = 305.29 N
So, from the above calculation we can conclude that the average force is 305.29 N
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.
a radio station broadcasts radio waves at a frequency of 510 kilo hertz. what is the wavelength of these waves?
Answer:
588m
Explanation:
frequency = 510 kHz
speed of all electromagnetic waves are 3×10⁸ in any medium
speed = frequency × wavelength
wavelength = speed ÷ frequency
= 3×10⁸ ÷ 510 × 10³ =588.2352941 ≈ 588 m(3s.f.)
since there is a prefix of kilo in the frequency value, then we have to include the calculation of the prefix in order to find the wavelength as all calculated values should be in SI unit
What is Romanticism literary movement?.
Romanticism was an attitude or intellectual orientation that pervaded many works of Western civilization from the late 18th to the mid-19th century, including literature, painting, music, architecture, criticism, and historiography.
The principles of order, tranquility, harmony, balance, idealization, and rationality that characterized Classicism in general and late 18th-century Neoclassicism in particular can be seen as being rejected by Romanticism. In some ways, it was also a response to the Enlightenment, as well as to general 18th-century rationalism and physical materialism. Romanticism placed a strong emphasis on the unique, the subjective, the irrational, the imaginative, the personal, the spontaneous, the emotional, the visionary, and the transcendental.Romanticism's influence on architecture is primarily seen in the "follies," or bizarre structures that mimic older architectural styles. The Gothic Revival was sparked by the Romantic imagination's renewed interest in medieval Gothic architecture in Germany and England.To know more about Romanticism-
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a 100 000-lb freight car is drawn 2500 ft up along a 1.2% slope at constant speed. a) find the work done against gravity. b) if a constant frictional fo
The work done against gravity is 34563738.59 Joule.
Scientifically work done components will be given as, W = F × d. In this situation, the force exerted on the block is constant, but the course of force and the path of displacement stimulated by way of this pressure are exceptional. Force F reacts at a perspective θ to the displacement d.To express this concept mathematically, the work W is the same as the pressure f instances of the distance d or W = fd. If the pressure is being exerted at an attitude θ to the displacement, the work finished is W = FD cos θ.
If pressure is implemented on a system and the system studies a displacement then the work is said to be done at the gadget. If a gadget applies a force on something else and reasons displacement then the painting is said to be finished through the device.
Calculation:-
work done = force × displacement
= ma × 2500 ft
= 45359.237 kg × 762 meter
= 34563738.59 Joule.
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Base your answer to the question on the information below.
The combined mass of a race car and its driver is 600. kilograms. Traveling at constant speed, the car completes one lap around a circular track of radius 160. meters
in 36.0 seconds.
Calculate the speed of the car, to the nearest tenth of a meter per second.
The speed of the car is 28.0 m/s
What is speed?An object's speed, also known as "v," is the amount by which its position changes over time or by how much it changes per unit of time, making it a scalar number.The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is equal to the distance travelled by the object divided by the duration of the period. Velocity and speed are not the same thing.Given,
mass of car(m) = 600 kg
radius of circular track (r) = 100 m
Time (t) = 36 seconds
[tex]speed=\frac{distance}{time} \\\\=\frac{2*pi*r}{t} \\\\=\frac{2*3.14*160}{36}\\\\28.0 m/s[/tex]
Therefore, the speed of the car is 28.0 m/s
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if the theoretical minimum number of parts for this geared water pump is three and the total assembly time 116 seconds, what is its assembly efficiency?
The assembly efficiency if the theoretical minimum number of parts for a geared water pump is three and the total assembly time 116 seconds is 7.79 %
ηassembly = Nmin ta / t
ηassembly = Assembly efficiency
Nmin = Minimum number of parts to assemble
ta = Basic assembly time for one part
t = Total time
t = 116 s
ta = 3 s
Nmin = 3
ηassembly = 3 * 3 / 116
ηassembly = 0.077856
ηassembly = 7.79 %
Assembly is a step in manufacturing process in which different parts gets assembled to make a working product. Efficiency is basically how much energy can be conserved.
Therefore, the assembly efficiency is 7.79 %
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Two electrons are separated by a distance of 5 x 10^-5m. The charge of each electron is -1.602 x 10^-19C. Assume the Coulomb’s constant is 8.99 x 10^9N . m^2/C^2
!!Correct answer will get 20 points!!
Answer:
Explanation:
Given:
r = 5·10⁻⁵ m
q₁ = q₂ = | 1.602·10⁻¹⁹ | C - electron charge modulus
k = 8.99·10⁹ m² / C₂ - the Coulomb’s constant
_______________
F - ? - electron repulsion force
According to Coulomb's law:
F = k·q² / r²
F = 8.99·10⁹·(1.602·10⁻¹⁹)² / (5·10⁻⁵)² ≈ 9,23·10⁻²⁰ N
In the context of forecasting, the term _______ refers to the tendency of forecasts to consistently be larger or smaller than the actual values of the time series.
bias
In the context of forecasting, the term bias refers to the tendency of forecasts to consistently be larger or smaller than the actual values of the time series.
What is meant by the tendency of the forecast?When determining the direction of future trends, forecasting is a technique that makes educated estimates using historical data as inputs. Businesses use forecasting to choose how to spend their allocated funds or make plans for upcoming expenses.There are three fundamental categories: causal models, time series analysis and projection, and qualitative approaches.Businesses can improve their adjustments if they have knowledge of both current data and predictions for the future. Businesses can modify their existing operations and optimise their plans with the use of forecasts to change possible outcomes.The goal of causal forecasting is to attempt to predict or forecast future market events based on a variety of factors that are likely to affect the market's future movement.To learn more about tendency of forecast refer to:
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if earth had a pair of identical moons on opposite sides of the same circular orbit, the center of gravity of the double-moon-earth system would be
If the earth had a pair of identical moons on opposite sides of the same orbit, then the center of the gravity of the double-moon-earth system would be at the center of the earth
The gravitational pull of the moon pulls on the earth, especially in the parts closest to the moon. As a result of this force, the earth's crust rises slightly (a few centimeters). Even ponds and lakes like the Great Lakes experience neap tides. But this gravitational pull can lift the Earth's oceans (and atmosphere) many meters. The moon orbits the earth, creating a "bulge" in the ocean.
On the other side of the Earth's Moon, the gravitational pull is weaker than on any other part of the Earth, and the ocean is "left behind" in another bulge. As there will be identical moons on exact opposite sides, there will be equal gravitational pull, thus we could have gravity at the center of the art.
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if a rigid body rotates about its center of gravity, its translational kinetic energy is at all times. a) constant b) equal to its rotational kinetic energy c) zero d) cannot be determined
When a rigid body is rotating about its center of gravity, we realize that there is no movement of its center of mass. In other words, its translational motion is absent, and it possesses only rotational kinetic energy.
Hence, the correct answer to this question is:Option (c).
What is Kinetic Energy?
The kinetic energy of a body is the amount of energy it possesses owing to its state of motion. General motion can be described as a combination of translational and rotational motion, implying that the total kinetic energy of a moving body comprises that due to translation and that due to rotation.
The formula for kinetic energy of a body of mass (m) and translational velocity (v) is written as: K=(½)mv^2
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which of the following is an effect of acid rain? solar radiation gets trapped in the atmosphere. respiratory and card
Solar radiation gets trapped because of acid rain as a effect of acid rain and has no effect on respiratory and card.
Acid rain: What is it?Rain or any other form of precipitation that is unusually acidic, that is, with high quantities of hydrogen ions, is referred to as acid rain (low pH). While the neutral pH range for most freshwater, particularly drinking water, is between 6.5 and 8.5, acid rain often has a pH between 4-5.
Acid rain's impact on solar radiation.Sulfur dioxide seems to be doing this by altering clouds, making them more efficient in blocking the sun's rays and reflecting radiation into space again. Scientists worry that lowering acid rain would hasten possible global warming because of this effect.
Effect on our Respiratory system.Sulfur dioxide and nitrogen oxides in the air can either create respiratory disorders or worsen existing conditions. Breathing becomes difficult for persons who have respiratory conditions such chronic bronchitis or asthma.
So, Solar radiation gets trapped because of acid rain as a effect of acid rain and has no effect on respiratory and card
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high voltage power lines are usually supported by glass insulators. an electric current cannot flow through a piece of glass because
Glass is an insulator, meaning it does not allow electricity to flow freely. This is why glass insulators support high-voltage power lines - to prevent the electricity from flowing through the glass and causing a short circuit.
Glass is used as insulation in what situations?
Before newer materials, such as ceramic and fiberglass, became accessible, glass was a widely used electrical insulator in telephone and power lines. Glass insulators are now more frequently found at antique stores than in regular situations.Glass is a wonderful electrical insulator, but it also has a lot of other beneficial qualities. It is an effective thermal insulator.To learn more about glass insulators, follow the link https://brainly.com/question/27261557
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two blocks of masses 5 kg and 10 kg, respectively, are placed on a table, as in the figure. the coefficients of friction between the blocks and the table are not the same. their respective values are indicated in the figure below each block. the blocks are connected by a string of negligible mass that can only withstand tension upto 100 n. a horizontal force is applied to the 10-kg block. what is the maximum value of the magnitude of that doesn't cause the string between blocks to break?
Answer: that its will
Explanation:
A 2-inch piece of two-;layer chocolate cake with frosting provides 1670 kj of energy. Calculate this in calorie.
The dietary calories in 1670 kilojoules of energy are 399.14 Cal.
Solution:
Now we convert kilojoules to dietary calories
Calories in 1670 kilojoules = [tex]1670 KJ * \frac{1000J}{1kg} *\frac{1cal}{4.184J} *\frac{1 cal}{1000cal}[/tex]
Calories in 1670 kilojoules = 399.14 Cal
Hence, the dietary calories in 1670 kilojoules of energy are 399.14 Cal.
Adding filling between layers holds the layers together and adds both flavor and height to the cake. Using 12 icing-filled tipped sachets, pipe frosting just inside the outer edge of the layer. This creates a dam that prevents the filling from seeping out.
A layer cake or sandwich cake is a cake made from several stacked cake sheets bound together with icing or another type of filling such as jam or other jams. Most cake recipes can be adapted for layered cakes. Butter cakes and sponge cakes are common.
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a meter stick balances horizontally on a knife-edge at the 50.0 cm mark. with two 5.00 g coins stacked over the 12.0 cm mark, the stick is found to balance at the 45.5 cm mark. what is the
The mass of the knife which is kept on the meter stick is 66 grams.
The mass of the two coins = 2 x 5 g
= 10 g
The position of the coins is at the 0.12 m mark
The position of the knife is at the 0.45 m mark
The length of the meter stick is 0.5 m
The mass of the knife can be found using the formula,
M = (x₂ - x₁)m / (x₃ - x₁)
where M is the mass of the knife
m is the mass of the coins
x₁ is the position of the coins
x₂ is the position of the knife
x₃ is the length of the knife.
Let us substitute the known values in the above equation, we get
M = (0.45 - 0.12)(10) / (0.5 - 0.45)
= (0.33)(10) / 0.05
= 3.3 / 0.05
= 66 g
Therefore, the mass of the knife is 66 gram
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SOMEONE HELP
Perform the following conversion.
0.09 km to dam
Answer:9
Explanation:
if this resolving power is diffraction-limited, to what effective diameter of your eye's optical system does this correspond? use rayleigh's criterion and assume that the wavelength of the light is 560 nm
The effective diameter of your eye's optical system is 2.33 mm.
According to Rayleigh criterion, angular resolution of eye is given by the expression,
Angular resolution = 1.22 λ / D
where, λ is the wavelength of light
D is the diameter of the eye
Angular resolution in degrees = 1.67 * 10⁻² (convert to radians)
⇒ 1.67 * 10⁻² *π / 180 radian = 29.13 × 10⁻⁵ radian
λ = 560 * 10⁻⁹ m
Let us substitute the values in the above expression,
29.13 × 10⁻⁵ = 1.22* 560 * 10⁻⁹/ D
D = 1.22* 560 * 10⁻⁹/(29.13 × 10⁻⁵) = 1.22* 56* 10⁻⁸ *10⁵/29.3 = 2.33* 10⁻³ m = 2.33 mm
Thus, the effective diameter of your eye's optical system is 2.33 mm.
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During eeg measurements, 6-10 electrodes are attached to the scalp and produce line drawings that represent __________. a. brain function b. mental activity c. x-rays d. brain patterns please select the best answer from the choices provided a b c d
Using concepts of errors and measurement, we got that During eeg measurements, 6-10 electrodes are attached to the scalp and produce line drawings that represent a) brain function is the best answer from the choices.
An electroencephalogram (EEG) is the noninvasive test that records electrical patterns in the brain. It is the recording of the electrical activity of the brain from the scalp. The recorded wave forms reflect cortical electrical activity. The test is used to help diagnose conditions such as the seizures, epilepsy, head injuries, dizziness, headaches, brain tumors and the sleeping problems. It can also be used to confirm the brain death.
-Brainwaves are produced by synchronized electrical pulses from the masses of the neurons communicating with each other. Brainwaves are actually detected using sensors placed on the scalp.
Hence, During eeg measurements, 6-10 electrodes are attached to the scalp and produce line drawings that represent a) brain function is the best answer from the choices provided a b c d.
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Answer:
brain function
Explanation:
A dog weighing 18 kg runs into a park at a velocity of. 63 m/s. What is the momentum of the dog?.
The momentum of the dog of mass 18 kg is 1134 kgm/s.
What is momentum?The Momentum of an obeject, can be defined as the product of its mass and velocity.
To calculate the momentum of the dog, we use the formula below.
Formula:
M = mv........... Equation 1Where:
M = Momentum of the dogm = Mass of the dogv = Velocity of the dogFrom the question,
Given:
m = 18 kgv = 63 m/sSubstitute these values into equation 1
M = (18×63)M = 1134 kgm/sHence, the momentum of the dog is 1134 kgm/s.
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A. 11.34 kg * m/s
i did the test
what is the velocity v2 of the liquid flowing out of the exit end of the pipe? assume the viscosity of the fluid is negligible and the fluid is incompressible. the acceleration of gravity is 9.8 m/s 2 and patm
The fluid is incompressible and has extremely little viscosity. Gravity accelerates at a rate of 9.8 m/s2 and follows a path that causes the liquid to go out of the pipe at a speed of 66.35 m/s.
What is the principle of Bernoulli?Bernoulli's principle, which at first looks counterintuitive, describes the link between a fluid's speed and pressure. Bernoulli's principle states that locations in a horizontal flow of fluid will experience lower pressure than locations where the fluid is moving more slowly.
radius at initial end is given as = 0.24/2 = 0.12 m
now radius at end is given as = 0.05/2 = 0.025 m
utilizing the continuity equation:
A₁ V₁ = A₂ V₂
π (0.12)² × 2.88 = π (0.025)² × V₂
V₂ = 66.35 m/s
∴ The calculated exit terminal velocity is 66.35 m/s.
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If a wind turbine extracted 100% of the kinetic energy out of the wind, what would happen?.
Answer:
all of the wind would have to stop completely upon contact with the turbine
Explanation:
Wind turbines work by slowing down passing wind in order to extract energy. If a wind turbine was 100% efficient, then all of the wind would have to stop completely upon contact with the turbine—which isn't possible by looking at a wind turbine.
In a 30 year old man who has red-green color blindness, light having a wavelength of 530 nm is perceived as being green. This man ______.
In a 30 year old man who has red-green color blindness, light having a wavelength of 530 nm is perceived as being green. This man perceives that red light has a green color.
If you are colour blind, you see colours differently from the majority of people. Color blindness frequently makes it challenging to distinguish between particular hues. Color blindness typically runs in families. Specialized glasses and contact lenses can help, but there is no cure.
The only form that truly embodies the phrase "colour blind" is achromatopsia, sometimes known as "total colour blindness." Achromatopsia is a condition in which a person can only perceive the world in shades of grey, black, and white.
There are various varieties of colour blindness, and while it may happen on occasion, most colour blind persons are only partially able to "see" red, green, or blue light.
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using eqn. (5), calculate the magnetic field at the center of a fictitious tube. the number of turns on each coil is 130, the current is 1.0 a and the radius of the coils is 20 cm.
The magnetic field at center of a fictitious tube is 7.68 × 10⁻¹⁰ Tesla.
A magnetic field is the area around a magnet where you can feel the effects of magnetism. We use magnetic fields as a tool to describe how magnetic forces are distributed in the surrounding space and in anything that is magnetic in nature. Magnetic fields are created by moving the charges and intrinsic magnetic moments of elementary particles.
It is denoted by B or H . The units of magnetic field is Tesla.
formula : B = μ₀ × I/ 2πr
where, B ---> magnetic field
μ₀ ---> permeability of free space
r --> distance in meters
I ---> magnitude of electric current in ampere
the value of μ₀= 4π × 10⁻⁷ T m / A
we have given that, I = 1.0 A , r = 130 × 20 /100 => r = 26 m
putting all the values in above formula we get ,
B = 4π× 10⁻⁷× 1 / 2π× 26 = 4×10⁻⁷/52
= 7.6 × 10⁻¹⁰ T
Hence, the magnetic field is 7.6 × 10⁻¹⁰ T.
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Vittorio would like to be able to check whether his shoelaces are tied. Draw the incident and reflected rays showing the light from his shoelaces reflecting off the mirror into his eyes. Again, the rays should meet at the point on the mirror that needs cleaning. (see the hints from part a if you need help. ).
The height of mirror to be cleaned is equal to half the height of the man.
Let the length to be cleaned = x and height = h, distance between mirror and man is p.
The ray from his feet is incident at B.
As it is plane reflection angle RBC = angle IBC
From geometry, angle ARB = θ
From Δ ARB, Tanθ = x/p
From ΔBIC, Tan θ = H-x/p
Equating them,
2x = H
x = H/2
Hence , the height of mirror to be cleaned is equal to half the height of the man.
The law of reflection states that the incident ray, the reflected ray, and the normal to the surface of the mirror, all lie in the same plane.Also, the angle of incidence is equal to the angle of reflection.
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