The relative velocity of the first stone concerning the second stone is 20 m/s.
The time interval at which two stones are dropped from the tower is t.
t = 2 seconds
Let the initial velocity of the first stone be u1.
Let the initial velocity of the second stone be u2.
Let the final velocity of the first stone be v1.
Let the final velocity of the second stone be v2.
The velocity of the first stone is,
[tex]v _{1} = u _{1} + at[/tex]
[tex]v _{1} = 0 + gt[/tex]
[tex]v _{1} = gt[/tex]
The velocity of the second stone is,
[tex]v _{2} = g(t - 2)[/tex]
The relative velocity of the first stone concerning the second stone is,
[tex]v = v _{1} - v _{2}[/tex]
= g - g ( t - 2)
= gt -gt - 2g
= 2 × g
= 2 × 10
= 20 m/s
Therefore, the relative velocity of the first stone concerning the second stone is 20 m/s.
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The brakes are applied to a moving vehicle, causing it to uniformly slow down. While slowing, it moves a distance of 40.0 m in 7.45 s to a final velocity of 1.50 m/s, at which point the brakes are released.
What was its initial speed (in m/s), just before the brakes were applied?
What was its acceleration (in m/s2) while the brakes were applied? (Assume the initial direction of motion is the positive direction. Indicate the direction with the sign of your answer.)
The acceleration is 1.03m/s^2 and initial velocity is 6.1735m/s
As it is given that motion is in positive direction and in one dimension, we will use the formulas of motion in one dimension
It is given to us that while slowing vehicle moves 40m
time taken to halt is 7.45s
final velocity is 1.5 m/s
We are required to find initial speed and acceleration
Using the equation v = u + at
v=1.5 , t = 7.45
1.5 = u + a x 7.45
u + 7.45a= 1.5
u =1.5 -7.45a
Now using the equation v^2 -u^2 =2aS
1.5 x 1.5 -u^2 = 2 x a x 40
2.25 - u^2 = 80a`
2.25- 80a = u^2
Now squaring for u in first equation and equation with second ,we get:
(1.5 -7.45 a)^2 = 2.25 -80a
2.25 + 55.50a^2 -22.35a =2.25 -80a
55.5a^2+57.65 a =0
a(55.5a +57.65)=0
a= 57.65 /55.5 =1.03 m/s^2
u = 1.5 - 7.45 x 1.03
=-6.1735 m/s
negative sign implies that initial speed is in opposite direction
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A gas with initial state variables p1, v1, and t1 is cooled in an isochoric process until p2=13p1.part aby what factor does the volume change?
If the volume is held constant, a process is said to be isochoric (or iso-volumetric). The work that the system performs in any isochoric process is always zero.
In thermodynamics, a condition in which a system's volume doesn't change is referred to as an isochoric process. A pressure volume diagram serves as the model for this operation (PV diagram). Consequently, Q1 / Q2 = T1 / T2 or Q1 / Q2 = Q2 / T2 as these two equations are equivalent. The term "lower amount of heat" refers to the proportion of heat to temperature. The total of the reduced amount of heat is therefore zero for the Carnot heat engine. As a result, we can see that in an isochoric process, the volume is constant, and no work is being done. The gas's intrinsic energy is the only thing that changes.
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calculate the power output (in watts) during 1 minute of exercise on the cycle ergometer, given the following
The power output would be 981 watts.
SolutionMetered energy for one metering interval, measured in kWh per meter in interval, multiplied by the number of metering intervals in an hour equals power output.
The average rate of electric energy delivery during the course of one metering interval, expressed as an hourly rate of delivery in kWh, is the outcome.
The maximum power, stated in kW, that a charging station, pool, or shore-side energy supply system is theoretically capable of giving to a linked car or vessel is the installation’s “power output.”
What are energy and work?Work is the process of transferring energy into an object to move it in some way.
Energy is the term used to describe the capacity to accomplish tasks. Acted upon
Calculation60 kg x 9.81 = 588.6N
100m/min = 5/3 m/s
Power= v.w
= 588.6 x 5/3
=981 watts
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The end of the film includes interviews with several “elite” athletes. List at least 3 of the benefits of a vegan diet that these elite athletes say they’ve experienced.
Veganism is the practice of avoiding using animal products, especially in your diet, and an ideology that supports this practice that rejects treating animals as a commodity.
The end of the film includes interviews with several “elite” athletes. List at least 3 of the benefits of a vegan diet that these elite athletes say they’ve experienced.
A vegan is someone who adheres to the ideology or diet. Numerous health advantages of a vegan diet exist.
A vegan diet can be beneficial for those trying to lose weight. Consuming vegan food may also keep your heart healthy. Additionally, this diet might provide some defense against type 2 diabetes and some malignancies.
Vegan diets typically contain higher levels of fiber, antioxidants, and healthy plant chemicals. Additionally, they seem to contain higher amounts of potassium, magnesium, folate, and vitamins A, C, and E.
Since plant-based meals are bursting with phytochemicals, especially the potent antioxidants found in fruits and vegetables, eating vegan can help lower our risk for disease. Researchers discovered that compared to non-vegans, vegans had higher amounts of saturated fatty acids, a higher proportion of total omega-3 fatty acids, and antioxidant carotenoids, all of which are associated with better health.
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a bicyclist traveled from 15.6 m/s to 21.1 m/s over a distance of 30 meters
a) what is the acceleration of the bicyclist?
b) How much time does it take the bicyclist to travel the 30 meters
The acceleration of the bicyclist is 3.35 m / s². It takes the bicyclist 1.64 s to travel the 30 meters
We know that,
a = ( v - u ) / t
s = ut + 1 / 2 at²
where,
a = Acceleration
v = Final velocity
u = Initial velocity
t = Time taken
s = Distance travelled
Given that,
u = 15.6 m / s
v = 21.1 m / s
s = 30 m
a = ( 21.1 - 15.6 ) / t = 5.5 / t
s = ut + 1 / 2 at²
30 = 15.6 t + 1 / 2 ( 5.5 t )
30 = 15.6 t + 2.75 t
t = 30 / 18.35
t = 1.64 s
a = 5.5 / t = 5.5 / 1.64
a = 3.35 m / s²
Equations of motion are used to describe the position of an object using the motion of the object with respect to time. It is done using speed, acceleration, distance and time.
Therefore,
a) The acceleration of the bicyclist is 3.35 m / s²
b) Time taken by the bicyclist =
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A satellite in orbit around Earth is in uniform circular motion. What is the angle between the velocity vector and acceleration vector at any given point on the orbit?
A. 90°
B. 45°
C. 180°
D. 0°
The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees, therefore the correct answer is option A.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given in the If a satellite in orbit around Earth is in a uniform circular motion then we have to find the angle between the velocity vector and acceleration vector.
In a uniform circular motion, the angle between the velocity vector and acceleration vector is always π/2.
The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees.
Thus, the correct answer is option A.
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The half-life of the isotope br3574 is 25.4 minutes. if a 4.0-mg sample is given to a patient, how much of the isotope remains after 90.0 minutes?
half-life of the isotope br3574 is 25.4 minute The amount of isotope remained after 90min = 0.01g
number of periods= time/ half life
= 90/25,=3.6
so at each time 4/3.6=1.1, 1.1/7.2= 0.15 and 0.15/10.8=0.01g
The period of time it takes for one-half of a radioactive isotope to decay is known as the half-life. A given radioactive isotope's half-life is constant; it is unaffected by external factors and independent of the isotope's starting concentration.
or
Half-life is the length of time it takes for a radioactive element to decay to half of its initial value. This suggests that a source's activity has a half-life when it takes time for it to decrease to half its initial value
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Tyler wants to learn about the types of insects in the soil near his house. Which would be a benefit of carrying out a descriptive investigation?
He could collect a large amount of data for a low cost.
He could control most of the variables affecting the insects.
He would get results that might change after the investigation.
He would be able to study cause-and-effect relationships.
Tyler wants to learn about the types of insects in the soil near his house. He could collect a large amount of data for a low cost.
Types of investigation :Descriptive investigation, comparative investigation, and experimental investigation are the three types of investigations that scientists use to research and create explanations for events in nature.
What is the benefit of carrying out a descriptive investigation?Providing descriptions is the aim of descriptive research. It should describe phenomena in a factual, precise, and organized manner without attempting to infer their causes. It does not provide an explanation for the how, when, or reasons why a specific phenomenon occurred.
Methods of investigation :In various situations, scientists employ a variety of investigational techniques. These techniques include fair testing, identifying and classifying, modeling, pattern seeking, and researching (in no particular order). According to research, fair testing dominates science instruction.
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a 60kg person walks from the ground to the roof of a 80m tall building. what is the person's potential energy once they get to the top?
The potential energy is 47040 joules.
We need to know about potential energy to solve this problem. The potential energy is the object's energy caused by its position. Potential energy can be determined as
PE = m . g . h
where PE is potential energy, m is mass, g is the gravitational acceleration (9.8 m/s²) and h is height.
From the question above, we know that
m = 60 kg
h = 80 m
By substituting the given parameters, we can calculate the potential energy
PE = m . g . h
PE = 60 . 9.8 . 80
PE = 47040 joules
Hence, the potential energy is 47040 joules.
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What’s an example of potential energy? I WILL CROWN YOU PLS HELP
A
Water behind a dam
B
A dart stuck in a dartboard
C
Plants using photosynthesis
D
A cow chewing grass
A. Water behind a dam an example of potential energy
What are some illustrations of kinetic and potential energy?The energy an individual or an item has as a result of motion—in this case, the motion of the falling apple—is known as kinetic energy. Potential energy, which exists in a bike that is parked on top of a hill, is converted to kinetic energy when you start riding it downhill.
Kinetic energy may be observed in anything that moves around the house. This might happen when a glass breaks after falling off the counter, a fan circulates air on a warm day, or a cue ball rolls on a pool table. Kinetic energy is used by on-turning electrical equipment as well as by individuals moving around the house.
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inside out and upside-down: the roles of gas cooling and dynamical heating in shaping the stellar age-velocity relation
The formation and evolution of discs can be better understood by performing kinematic studies of disc galaxies utilizing specific Milky Way stars or statistical analyses of global disc kinematics across time.
The study of Gas Cooling and Dynamical HeatingOlder stars are kinematically hotter at birth and get hotter as they grow older (the disc settles over time in an “upside-down” formation scenario).
The disc also expands from the inside out, and radial mixing has resulted in the presence of many of the older stars in the current solar neighborhood.
We show that the model used to explain the general decrease in velocity dispersion observed in disc galaxies from z 2-3 to the present day, in which the disc evolves in quasi-stable equilibrium and the ISM velocity dispersion decreases over time due to a decreasing gas fraction, can also be used to explain the evolution of birth in h277.
Our findings connect local measurements of the Milky Way’s AVR with those of high-z disc galaxies’ observed kinematics.
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Use the drop-down menus to answer the questions.
If two vectors are perpendicular to each other, how should you add them?
If two vectors are not perpendicular to each other, how should you add them?
Addition of vectors can be done using the Pythagorean theorem for perpendicular vectors and the Parallelogram law of vector addition for non-perpendicular vectors.
The head of the first vector must meet the tail of the second vector in order for the two vectors to be added together, according to the triangle law of vector addition. We may thus acquire the resulting sum vector by connecting the head of the second vector to the tail of the first vector.
Addition of vectors which are perpendicular is done using the Pythagorean theorem,
[tex]C^2 = A^2 + B^2\\C = \sqrt{A^2 + B^2}[/tex]
Addition of vectors not perpendicular to each other is done using the Parallelogram law of vector addition:
[tex]R = \sqrt{A^2 + B^2 + 2AB cos\theta}[/tex]
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What steps could the company take to help ensure that electric engines become the dominant design?
Drive defensively. Simply said, aggressive driving accelerates the rate of battery drain in your electric vehicle.
Speed up. When feasible, try to maintain your speed under 60 mph.
What are electric engines ?An electric motor is a mechanical device that converts electrical energy into mechanical energy. The majority of electric motors function by producing torque that is applied to the motor shaft through the interaction of the motor's magnetic field and the electric current flowing through a wire winding.
Drive defensively. Simply said, aggressive driving accelerates the rate of battery drain in your electric vehicle.Hurry up. Whenever possible, aim to maintain a speed of less than 60 mph.Make the most of regenerative braking.Don't be too hot.Cool Off With The AC.Tend To Get TiredKeep it Light.Remain Slick.to learn more about electric engines go to -
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I really need help how dono do this
Answer:
As mentioned before middle thing nucleus and blue things with +1 charge (positive) [I am talking about the key] are protons anything else that you need help with?
What is the total distance traveled of the object in the graph? Thank you! (:
Hydrogen fusion in the sun requires a temperature (in kelvin) of:_____.
Hydrogen fusion in the sun requires a temperature of more than 100 million kelvin.
so that you can fuse two hydrogen atoms things are required: excessive temperature and excessive pressure. The minimum temperature required to fuse hydrogen is set a hundred million Kelvin, which is set six times the temperature in the middle of our sun.
What temperature does fusion get up inside the sun?
The gravity of the solar, which is sort of 28 times that of Earth, ''traps'' hydrogen from its environment and this hydrogen fuels the Hydrogen fusion reaction. At temperatures of 15 million diploma Celcius within the solar's center, hydrogen gasoline becomes plasma, the fourth country of depend.
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On holiday a family travels from meyerville 10 miles away to sprytown 70 miles away in 3 hours. Find their speed
On holiday a family travels from meyerville 10 miles away to sprytown 70 miles away in 3 hours, their speed is 20 miles per hour.
Equation :To find speed using formula,
s = d / t
s = 70 - 10 / 3
s = 60 / 3
s = 20 miles / hours
Speed :Speed is defined as the rate of change of position; what we mean by speed is the magnitude with which an object moves, or, more scientifically, the rate at which an object changes its position is per unit time.
Speed is calculated as speed = distance / time. To figure out what the units for speed are, you must first understand the units for distance and time. Because distance is measured in metres (m) and time is measured in seconds (s), the units will be metres per second (m/s).
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drivers must slow down from 60 to 40 mph to negotiate a severe curve on a rural highway. a warning sign for the curve is clearly visible for a distance of 200’. how far in advance of the curve must the sign be located in order to ensure that vehicles have sufficient distance to safely decelerate? use the standard reaction time and deceleration rate recommended by aashto for basic braking maneuvers.
The sign needs to be placed 292.07 feet in advance of the curve in order to provide cars enough room to safely slow down.
Prior to putting up a sign board to slow down traffic, we first calculate the distance.
d is the safe stopping distance, Si is the initial speed (60 mph), t is the time reaction (2.5 seconds), Sf is the end speed (40 mph), and G is the grade (0).
Therefore, we replace d = (1.47 60 2.5) + [(602 - 402) / 30(0.348 0) = 220.5 + (2000/10.44) = 220.5 + 191.57 = 412.07 ft Now that we know that a warning sign is clearly visible at a distance of 120 ft, the ideal safe distance will be d = minimum distance - sign visible distance d = 412.07 ft.
d = 412.07 - 120
d = 292.07 ft
In order to ensure that vehicles have enough room to safely slow down, the sign must be placed 292.07 feet ahead of the bend.
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at the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20 m/s2 . at the same instant a truck, traveling with a constant speed of 22.0 m/s , overtakes and passes the car.
The distance at which the car meets the truck after the traffic light turns green is at 302.5 m
We know that,
s = ut + 1/2 a[tex]t^{2}[/tex]
v = s / t
where,
s = Distance
u = Initial velocity
t = Time
a = Acceleration
Given that,
The car has with a constant acceleration of 3.2 m / [tex]s^{2}[/tex]
Initial velocity of car = 0
Velocity of truck = 22 m / s
After the traffic signal distance travelled by the car and truck are equal and time taken is also equal.
For the truck,
s = v * t
For the car,
s = ut + 1/2 a[tex]t^{2}[/tex]
vt = ut + 1/2 a[tex]t^{2}[/tex]
22 * t = 0 + 1/2 * 3.2 * [tex]t^{2}[/tex]
t = 13.75 s
s = v * t = 22 * 13.75
s = 302.5 m
Velocity is the distance travelled by an object with respect to time. It is denoted by V.
Therefore, the distance at which the car meets the truck after the traffic light turns green is at 302.5 m
The given question is incomplete. The complete question is
At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20 m/[tex]s^{2}[/tex] . at the same instant a truck, traveling with a constant speed of 22.0 m/s , overtakes and passes the car. How far beyond the traffic signal will the car overtake the truck?
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At your annual physical exam the nurse takes your blood pressure and records it as 130/110. why is the diastolic pressure a concern but systolic is not?
Heart attacks, heart failure, kidney disease, and overall mortality are all associated with systolic blood pressure. Aortic disease risk is increased by a high diastolic reading.
What is systolic blood pressure?Two figures are used to calculate blood pressure: the first, systolic blood pressure, represents the force exerted on your arteries as your heart beats.
The second number, or diastolic blood pressure, measures the pressure in your arteries between heartbeats.
Systolic blood pressure, the highest reading, gauges the force the heart applies to the artery walls with each beat. The bottom reading, or diastolic blood pressure, gauges the pressure the heart places on the artery walls between beats.
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Find the caloric content of 100g of fruit salad containing 20g of apple, 25g of strawberry, 15g of grapes, 30g of banana, and 10g of honey.
90 caloric content of 100g of fruit salad containing 20g of apple, 25g of strawberry, 15g of grapes, 30g of banana, and 10g of honey.
energy are the strength that a meals or beverage includes.
On food merchandise, energy are normally noted, and wearables just like the first-class health trackers assist you to hold-song of how many calories you burn even as undertaking numerous sports. greater energy are usually found in positive ingredients, together with those which are fatty, fried, or processed. clean fruit and veggies, as an instance, have fewer calories on average than different foods. Conversely, low-calorie objects like food regimen soda don't have any dietary value while some nutritious culmination and vegetables might have a high-calorie content.Find out more information about Calories.
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he atmosphere exerts a pressure of 14.7 lbf/in.2 on top of the 6-in.-diameter piston. the absolute pressure of the air inside the cylinder is 16 lbf/in.2 the local acceleration of gravity is g
The absolute pressure of the air inside the cylinder is 16 lbf/in
1.3psig.
A straightforward idea is pressure—the measurement of force in a certain space.
There are several approaches of comprehending the strain, nevertheless, depending on the query.
Here are some tips for differentiating pressure measurement types and units when describing when and why such pressure measurements are employed.
Calculate the mass of the piston by applying the equilibrium condition.
∑F_y=0
p_(air)A_(piston)- p_(atm)A_(piston)-m_(piston)g=0
(p_(air)-p_(atm))A_(piston)-m_(piston)g=0
m_(piston)=(p_(air)-p_(atm))A_(piston)/g ______(1)
Calculate the area of the piston,
A_piston= πD^2/4
=π×D^2/4
=π×6^2/4
=28.274 in^2
By substituting the value in m_(piston)=(p_(air)-p_(atm))A_(piston)/g
=(16.14.7 lbf/in.^2)(28.274 in.^2)/32.2 ft/s^2(32.2 ft/s^2/1lbf)
=36.756 lbm
b)
Calculate the gage pressure if the air,
p_(gage) = p_(abs)-p_(atm)
p_(gage)=16-14.7
=1.3psig
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two or more of the following sets of displacements when carried out in the order shown have the same resultant which are they
(a), (b), and (C) have the same resultant.
In two-dimensional,
When a body moves in the east direction or positive x-axis then is denoted by [tex]\hat{i}[/tex] and when the body moves in the north direction or positive y-axis then is denoted by [tex]\hat{j}[/tex].
For option (a),
2m east, 3m north, 4m west
Let's say the initial position is origin then,
[tex]2\hat{i} + 3\hat{j} - 4\hat{i} = - 2\hat{i} + 3\hat{j}[/tex]
Then the displacement is:
= √ [ (-2)² + (3)² ]
= √[ 4 + 9] = √13 m
For (b),
2m north, 3m west, 4m east
[tex]2\hat{j} - 3\hat{i} + 4\hat{i} = \hat{i} + 2\hat{j}[/tex]
The displacement will be:
= √[ (1)² + (2)² ]
= √5 m
For (c),
2m east, 4m west, 3m north
Then,
[tex]2\hat{i} - 4\hat{i} + 3\hat{j} = -2\hat{i} + 3\hat{j}[/tex]
The resultant of displacement is:
= √[ (-2)² + (3)² ]
= √[ 4 + 9]
= √13 m
For (d),
3m north, 2m east, 4m west
Then,
[tex]3\hat{j} + 2\hat{i} - 4\hat{i} = -2\hat{i} + 3\hat{j}[/tex]
Then, the resultant of displacement will be:
= √[ (-2)² + (3)² ]
= √[ 4 + 9]
= √13 m
Hence (a), (c), and (d) have the same resultant.
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The complete question is mentioned below:
two or more of the following sets of displacement, when carried out in the order shown, have the same resultant, which are they? (a) 2m east, 3m north, 4m west (b) 2m north, 3m west, 4m east (c) 2m east, 4m west, 3m north (d) 3m north, 2m east, 4m west
a ball is thrown directly downward with an initial speed of 8.35 m/s from a height of 29.6 m. after what time interval does it strike the gro
A ball is thrown directly downward with an initial speed of 8.35 m/s from a height of 29.6 m is 2.59s
What is speed?Speed is the time rate at which an object is moving along the path, while the velocity is the rate and direction of an object’s movement. Put the another way, speed is a scalar value, while the velocity is a vector.
The mathematical calculation for the speed is relatively straightforward, wherein the average speed of an object is calculated by dividing the distance traveled by the time it took the object to travel the distance. Velocity, on other hand, is more complicated mathematically and can be calculated in different ways, depending on what information is available about the object’s motion. In its simplest form, the average velocity is calculated by dividing change in position (Δr) by change in time (Δt)
a ball is thrown directly downward with an initial speed of 8.35 m/s from a height of 29.6 m. The equation for the height of the ball as a function of time is
y f =y i +v i -1/2g[tex]t^{2}[/tex]
0=29.6+(-8.35)-4.90[tex]t^{2}[/tex]
Solving for t,
t=[tex](+8.35± \sqrt{(-8.35)^{2}-4(-4.90(29.6)}) /2(-4.90)= (+8.35± \sqrt{69.72-580.16})/(-2.9)[/tex]
t=2.59s
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In an rlc series circuit, the voltage amplitude and frequency of the source are 100 v and 500 hz, respectively, and , l = 0.20 h, and . (a) what is the impedance of the circuit?
The impedance of the series RLC circuit which have the voltage amplitude and frequency of the source as 100 v and 500 hz, respectively, and l = 0.20 h is 686 ohms.
What is impedance?
The opposition to alternating current presented by the combined effect of resistance and reactance in a circuit is called impedance.
Given,
Voltage (V₀) = 100 v
Frequency (f) = 500 Hz
Inductance (L) = 0.20 h
Angular frequency,
ω = 2πf = 2π(500) = 1000π rad.
Since there is no capacitor and resistance present in the circuit, the impedance will solely depends on the inductance.
Inductive reactance,
[tex]X_L = (w)(L) = (1000)(3.4)(0.20) = 628 ohms[/tex]
By equation,
[tex]Z = \sqrt{R^2 + (X_L - X_C)^{2} }[/tex]
[tex]Z = \sqrt{0 + (628 + 0) ^{2} }[/tex]
Z = 628 ohms.
Hence, the impedance of the circuit is 628 ohm.
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Select all of the following that are vector quantities.
A acceleration
B. force
C. mass
D. speed
E. velocity
F. volume
What is nature's heat tax, and how does it relate to energy use? drag the terms on the left to the appropriate blanks on the right to complete the sentences.
As per second law of thermodynamics, The amount of energy that must be lost to the environment for the process to take place is known as nature's heat tax.
What is second law of thermodynamics?
The second law of thermodynamics is a physical principle founded on the knowledge of how heat and energy are transformed throughout the world. Explanation of the law is that, without energy input to change the direction of heat flow, heat always goes "downhill," or from hotter to colder objects. The phrase "not all heat energy can be turned into work in a cyclic process" is another definition.
Every energy exchange is subject to the inevitable energy reduction known as "nature's heat tax." The majority of energy transactions lose some energy to the environment, making each transaction only marginally efficient. As a result, the energy is used most effectively when there are fewest number of transactions.
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If the price elasticity of demand for labor is 0.15 and the wage increased from $11 to $16 an hour, what is the predicted decrease in the level of employment in percentage terms?
The predicted decrease in level of employment percentage is calculated as 6.81%
Elasticity of demand for labor = % Change in Demand for Labor/ % Change in wage
Elasticity of demand for labor = 0.15
% Change in wage = (16-11)/11×100 = 45.45%
Elasticity of demand for labor = % Change in Demand for Labor/ % Change in wage
0.15 = % Change in Demand for Labor/45.45%
% Change in Demand for Labor = 45.45%×0.15
= 6.81%
What is price elasticity of demand means?
Price elasticity of demand is that the ratio of the percentage change in quantity demanded of a product to the percentage change in price. Economists employ it to know how supply and demand change when a product's price changes
Why is price elasticity of demand important?
Price elasticity is that the measure of the market's response to price changes. Elasticity is vital to pricing decisions because it helps us understand whether raising prices or lowering prices will enable us to achieve our pricing objectives.
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Jollibee takes in Php 190,000 in an 8-hour period. Write a direct variation equation for the
relationship between income and number of hours. Estimate how many hours it would take
the restaurant to earn Php 1,000,000.
The direct variation equation is I = kh and it will take 42.1 hours for the restaurant to earn Php 1,000,000.
The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables.
In an 8-hour period, Jollibee takes in Php 190000.
The direct variation equation is given as y = kx, where y is directly proportional to x.
Hours worked (h) directly affect income (I), where k is the variational constant.
Therefore,
I = k × h
190000 = k × (8)
k = 23750 / 190000
Now, when the restaurant earns Php 1,000,000.
Therefore, using the direct variation equation:
Income = variable constant × number of hours
I = k × h
1,000,000 = (23750) × h
h = 1,000,000 / 23750
h = 42.1 hours
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What is tmaxtmaxt_max, the longest time after the dragster begins to accelerate that you can possibly run into the back of the dragster if you continue at your initial velocity?
The correct answer is t_max=V_0/a.
Here, we must apply the motion equation v=u+at to both the first and second conditions. Next, determine the entire time that can be determined using the law of motion. The next thing is our velocity.
Dynamic and kinematic motion descriptions are the two different categories. Dynamics covers a wide range of phenomena since it takes into account the momenta, forces, and energy of the particles.
Let the time be t_max when you collide with the dragster,
speed of dragster at time t_max is at_max .
If at_max = v_0(speed of years) i.e., both have the same speed you will collide with dragster.
t_max = (v-u)/a
=(v_0 - 0)/a
=v_0/a
Hence t_max=V_0/a.
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