The vehicle will travel a total of 80 miles in 1 hour and 20 minutes.
The vehicle is moving at a constant speed of 60 miles per hour.
It means that in one hour, the vehicle travels 60 miles.
So, we can write,
Miles travelled in hour = 60
Miles travelled in one minute = 60/60
Miles travelled in one minute = 1 mile
Total time given is 1 hours and 20 minutes.
1 hours = 60 minutes,
Hence, total time = 60+20
Total time = 80 minutes.
So, the distance travelled in 80 minutes = 80 x 80 miles,
Miles travelled in 80 minutes = 80 miles/
So, the vehicle travelled 80 miles in 1 hour and 20 minutes.
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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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How much energy does a 50 kg rock have if it is sitting on the edge of a 15 m cliff.
The energy needed to lift a 50 kg rock on the edge of a 15 m cliff is 7350 Joules.
Energy exists in much unique paperwork. Examples of those are: light power, warmth energy, mechanical electricity, gravitational energy, electric energy, sound strength, chemical strength, nuclear or atomic electricity, and so forth. each shape can be transformed or modified into alternative forms.
The kinetic energy of an object is the power that it possesses because of its movement. it's far described as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having received this electricity in the course of its acceleration, the frame maintains this kinetic energy until its pace modifications.
Calculation:-
Energy = mgh
= 50 × 9.8 × 15
⇒ 7350 Joules
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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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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.
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
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:
An object is moving on a frictionless surface to the right and experiencing a net force that is directed to the right. The magnitude of the force is decreasing with time. The speed of the object is.
The speed of the object is increasing. The force is decreasing, but since the surface is frictionless, the object continues to accelerate in the direction of the force.
Since the force is in the same direction as the velocity (moving to right), hence speed of the object will increase with time. The decrease in magnitude of force will only result in the decrease in the rate of increase of speed but the speed in total will still increase.
The magnitude of a force is the amount of force that is applied to an object. while force is defined as a mass under acceleration. Velocity is the speed and direction of an object's motion.
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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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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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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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In a physics lab, you attach a 0. 200 kg air-track glider to the end of an ideal spring of negligible mass and start it oscillating. The elapsed time from when the glider first moves through the equilibrium point to the second time it moves through that point is 2. 60 s.
If you attach an ideal spring of negligible mass to the end of a 0. 200 kg air-track glider and start it oscillating, the spring constant (K) is equal to 0.292.
Time (s) = 2.6 s, mass (m) = 0.2 kilogramme
the spring constant, please (K)
The glider moves from the equilibrium position and back to it in half the period due to the spring constant (K) = m2. Therefore, the period is equal to 2 x time
period (T) = 2.6×2 = 5.2 s,
and ω= 2π/ T = 2π / 5.2 = 1.21.
spring constant (K) is equal to m2 = 0.2 x 1.21.
0.292 is the spring constant (K).
The stiffness of the spring is quantified by the spring constant, k. For various materials and springs, it varies. The spring becomes stiffer and more challenging to stretch as the spring constant increases.
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a 5.20 g bullet moving at 672 m.s strikes a 700 g wooden block at rest on a frictionless surface. the bullet emerges, traveling in the same direction with its speed reduced to 428 m/s. (a) what is the resulting speed of the block? (b) what is the speed of the bullet-block center of mass?
The centroid is a unique point at the center of the mass distribution in space that has the property that the weighted position vectors with respect to this point sum to zero.
Similar to statistics, the centroid is the average position of the mass distribution in space. In physics, we say that the centroid is the point at the center of the mass distribution in space (also called the equilibrium point) where the sum of the weighted relative positions of the distributed masses is zero. Simply put, the center of gravity is the relative position of an object.
Choose +X along the first direction of travel and save the pulse as follows: 672m/s)
= (5.2 g )(428m/s) + (700g)ν
2/4 4.4 4 4.4 2 .4 4.4 2
= 1.81 m/s. The constant velocity is a result of conservation of momentum. Choose to evaluate it before collision. s)
=4.96m/s
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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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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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the amplitude of a wave decreases gradually as the wave travels down a long, stretched string. what happens to the energy of the wave when this happens
The amplitude of a wave decreases gradually as the wave travels down a long, stretched string. The energy of the wave will also start decreasing
The energy of the wave is proportional to its amplitude
hence, a high amplitude wave will indicates a high energy and a low amplitude wave will indicate low energy
So , as the amplitude of the wave decreases , it indicates the energy of the wave is also decreasing .
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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 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
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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What can change the way enzymes work?.
The way enzymes work: inclusive of temperature, pH, and awareness.
Enzymes are proteins that act as biological catalysts by way of accelerating chemical reactions. The molecules upon which enzymes may act are called substrates, and the enzyme converts the substrates into exclusive molecules known as merchandise. An enzyme is a biological catalyst and is nearly usually a protein. It quickens the rate of a particular chemical response within the cellular. The enzyme is not destroyed in the course of the reaction and is used time and again.
There are several elements that have an effect on the speed of an enzyme's motion, inclusive of the attention of the enzyme, the concentration of the substrate, temperature, hydrogen ion attention (pH), and the presence of inhibitors.
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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:
you drop a penny into a well on the earth's surface. it hits the water in two seconds. how far did it fall before reaching the water
The distance a penny travelled before reaching the water surface is 19.6 m. Consider the acceleration of the penny as 9.8 m / s^2.
What is acceleration?
Acceleration is the rate of change of the velocity with respect to the time taken. it is a vector quantity which is seen as moving faster or happening quickly. The standard unit is metre per second squared.
The distance or depth of the well can be calculated as,
d = ut + at^2 / 2
where d = depth of the well, u = initial velocity, t = time for reaching the water, a = acceleration of the penny.
d = (0 x 2) + 0.5 (9.8) (2)^2 = 19.6 m
Therefore, the stone falls for 19.6 m when it travels for 2 seconds before hitting the water when the acceleration is 9.8 m/s^2.
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Since the river also flows South at 6.0m/s, how does dividing 120m and 8.0m/s make sense?
Dividing 120m and 8.0 m / s makes sense because 120 m is the distance travelled East and 8 m / s is velocity travelled East.
Using the velocity value of 6 m / s with 120 m would have been wrong because it is the South velocity. If you wanted to use 6 m / s velocity value, you have to find the distance travelled South. Since there is no acceleration, the time taken to travel East, South and the resultant distance will all be the same.
v = d / t
v = Velocity
d = Distance
t = time
For East,
t = 120 / 8
t = 15 s
tan θ = Vs / Ve
tan θ = 6 / 8
θ = 36.9°
For south,
tan 36.9° = d / 120
d = 0.75 * 120
d = 90 m
t = 90 / 6
t = 15 s
As you can see both time values are same.
Therefore, dividing 120m and 8.0 m / s makes sense because 120 m is the distance travelled East and 8 m / s is velocity travelled East.
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a piano emits sound waves with frequencies that range from a low of about 28 hz to a high of about 4,200 hz. the speed of sound in air is approximately 343 m/s. what is the longest wavelength of sound produced by a piano? (in m)
From a low frequency of about 28 hz to a high frequency of roughly 4,200 hz, a piano emits sound waves. In air, sound travels at a speed of around 343 m/s. In other words, the piano's sound has a 12.25 m wavelength at its longest.
What is wavelength?A waveform signal's wavelength, which is the distance between two identical locations (adjacent crests) in the succeeding cycles, determines whether it is sent through space or via a wire. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm) (mm).
A velocity of wave is given as,
V = λ .f
V = Velocity of wave = 343 m/s
f = frequency of wave = 28hz and 4200hz
λ = wavelength = ?
λ[tex]_{min}[/tex] = V/f
λ[tex]_{min}[/tex] = 343/4200
λ[tex]_{min}[/tex] = 0.0816 m
λ[tex]_{max}[/tex] = V/f
λ[tex]_{max}[/tex] = 343/28
λ[tex]_{max}[/tex] = 12.25 m
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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 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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Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house. What is the shortest distance between caroline’s and mattie’s houses?.
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
Find the average velocity of the following 4 velocity measurements:
9.6 m/s
8.8 m/s
7.6 m/s
8.7 m/s
Leave your answer correct to three decimal places.
The average velocity of the following 4 velocity measurements will be d) 8.7 m/s
average of given velocities = sum of all velocities divided by number of velocity mentioned in the question
average velocity = ( v1 + v2 + v3 + v4 ) / 4
= ( 9.6 + 8.8 + 7.6 + 8.7 ) / 4 = 8.675 ≈ 8.7 m/s
correct answer d)
The average velocity of the following 4 velocity measurements will be d) 8.7 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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