a. Your speed will be 0.0628 m/s
b. The magnitude of your acceleration is 0.000263 m/s2
c. The ratio of your weight at the top of the ride to your weight while standing on the ground is 99.997%
d. The ratio of your weight at the bottom of the ride to your weight while standing on the ground is 100.003%
Using the data given above,
Where:
Radius = 15 m
Time for each loop = 25 minutes (25*60 = 1500 seconds) to complete.
a. To find the speed, which is the length of each loop per unit of time to complete each loop, we use the equation for uniform velocity v where:
v = C/t
Where:
Circumfrence of the ferris wheel; C = ?
Time to go round; t = 1500s
Circumference of the Ferris wheel would be:
C = 2πR = 2π*15 = 94.25 m
v = 94.25 / 1500
v = 0.0628 m/s
b. Since the circular motion is constant, the only acceleration from the motion is the centripetal acceleration. To find the magnitude of acceleration, we use the equation for centripetal acceleration which is:
ac = v²/r
Where:
Velocity; v = 0.0628 m/s
Radius; r = 15
ac = 0.0628/15
ac = 0.000263m/s²
c. Let g = 9.8 ms². At top of the ride, the centripetal acceleration would be pushing you up, while gravity pushes you down, so the weight you experience (compare to standing on ground would be):
g-ac/g
Where
Gravity; g = 9.8ms² (a constant)
Centripetal acceleration; ac = 0.000263m/s²
9.8 - 0.000263/9.8
= 0.99997
= 99.997%
d. At the bottom of the ride, both centripetal acceleration and gravity would be pushing you downward, making you feel like
g+ac/g
Where
Gravity; g = 9.8ms² (a constant)
Centripetal acceleration; ac = 0.000263m/s²
9.8 + 0.000263/9.8
= 1.00003
= 100.003%
Here's the complete question:
While at the county fair, you decide to ride the ferris wheel. having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. to take your mind off your stomach, you wonder about the motion of the ride. you estimate the radius of the big wheel to be 15 m, and you use your watch to find that each loop around takes 25 seconds.
a.What is your speed?
b.What is the magnitude of your acceleration?
c.What is the ratio of your weight at the top of the ride to yourweight while standing on the ground?
d.What is the ratio of your weight at the bottom of the ride toyour weight while standing on the ground?
Learn more about speed calculation from:
https://brainly.com/question/15327838?referrer=searchResults
#SPJ4
A boy pulls a 47.5 kg crate with a rope. The rope makes an angle of 28.0° to the horizontal.
The coefficient of kinetic friction for the crate and the deck is 0.300. The boy exerts a force of
185 N. What is the acceleration of the crate?
Answer:
1.044 m/s^2
Explanation:
Fcosθ - u(mg - Fsinθ) = ma = 185cos28 - 0.3(47.5*9.81 - 185sin28) = 49.61N
a = 1.044
a rifle bullet (mass ? 1.50 g) has a velocity of 7.00 ? 102 mph. what is the wavelength associated with this bullet?
3.13×10^2 metre is the wavelength associated with this bullet.
[tex]\lambda=(h)/(mv)[/tex]
Here, lambda is the wavelength, m is the mass, v is the velocity of the particle, and h is Planck's constant
The mass of a rifle bullet is 1.50g and its velocity is 7×10^2 mph
First convert the values to SI units as follows:
[tex][m=1.50 g*1kg/10^3g,[=1.50 *10^-3kg][/tex]
[tex][v=7.00 *10^2mph*(0.447m/s/1mph],[=3.13*10^2m/s][/tex]
De Broglie wavelength refers to the wavelength of a wave that is connected to a moving particle, such as the matter-wave or de Broglie wave. It is derived from: =h/mv In this equation, m stands for the particle's mass, v for its speed, and h for the Planck constant.
To know more about wavelength visit : https://brainly.com/question/12924624
#SPJ4
one way future space stations may create artificial gravity is by rotating the station at constant speed. consider a cylindrical space station 380 m in diameter that is rotating about its central axis. astronauts walk on the inside surface of the space station. if the centripetal acceleration at the wall of the station is to be equal to the acceleration due to gravity on the surface of the earth (ac
As a result, neither the astronauts nor the others sharing the space station can feel the force that supports them from the structure's solid surface.
Space stations are constantly in a free-fall situation, which means their acceleration is the same as the local gravitational acceleration. As a result, neither the astronauts nor the other space station residents can feel the support force generated by the station's solid surface.
Thus, by rotating the space station around its center, we produce center-directed forces from the space station's wall in the absence of gravity.
Gravitational acceleration is equal to centripetal acceleration.
A = g
r2 = g r 2 = /g r 2 = 9.81 m s 2/ 55 m 2 = 0.178 r a d 2 s/ 2 = 0.422 r a d / s
Therefore, the angular speed of the space station is 0.422 rad/s.
To know more about space station click on the link:
https://brainly.com/question/13451310
#SPJ4
How is a mitochondria and a generator alike
All human cells contain mitochondria, which function as the cell's main "power generator" by transforming energy from food into a form the cell can use. Mitochondria are found in the cytoplasm of all human cells.
How do a generator and a mitochondria compare?
A little DNA strand that functions as a second human genome is also present in them. Additionally, they have a small DNA strand that functions as an additional human genome. Nutrients get into the bloodstream after being broken down.The nutrients can be utilized as fuel or raw materials.Adenosine triphosphate, or ATP, is the major energy source for all of our cells and it is produced by the mitochondria.Our cells include tiny organelles called mitochondria.Consider them the cell's energy producers.The Krebs Cycle, also known as the citric acid cycle, is a mechanism by which mitochondria make ATP, which is used by all cells for energy.Although ATP only exists in minute amounts in each cell, the body can use its entire weight in ATP every day due to its importance as an energy source.Oxygen is the second important component in the process because mitochondria use oxidation (also known as cellular respiration) to produce the energy cells need to function.We need to breathe in order to replenish our bodies' oxygen supply and exhale in order to get rid of carbon dioxide, which is a byproduct of oxidation, because it is produced during the process of cellular respiration. Although ATP only exists in minute amounts in each cell, the body can use its entire weight in ATP every day due to its importance as an energy source.Oxygen is the second important component in the process because mitochondria use oxidation (also known as cellular respiration) to produce the energy cells need to function.We need to breathe in order to replenish our bodies' oxygen supply and exhale in order to get rid of carbon dioxide, which is a byproduct of oxidation, because it is produced during the process of cellular respiration.
To learn more about mitochondria refer
https://brainly.com/question/15497017#
#SPJ13
At what temperature will wood and iron apper equally hot or equally cold to our body?
They will feel equally hot or cold at the same temperature.
What do you mean by temperature?
Temperature is a physical parameter that describes how hot stuff or radiation is. There are 3 different types of temperature scales: those described in regards to the average translational kinetic energy per freely moving microscopic substance in a body, such as a atom, compound, or anion, such as the SI scale; those that rely solely on purely macroscopic properties and thermodynamic principles, such as Kelvin's original definition; and those that are not defined by theoretical principles, but are defined by convenient empirical properties of particulate matter.
If they are the same temperature as the area of your body that is touching them, they will feel equally hot or cold. There will be no heat movement if the wood and iron at the same temperature as the skin, and the iron's higher thermal conductivity will be irrelevant. The specific temperature cannot be specified because if you touch the materials with your fingertips, the wood and iron must match that temperature, and if you test them with your tongue, which is often considerably warmer than your hands, the wood and iron must be warmer.
To know more about temperature, click on the link
https://brainly.com/question/13165448
#SPJ10
an empty spherical weather balloon with a mass of 5.00 kg has a radius of 2.879 m when fully inflated with helium. it is to carry a small load of instruments with a mass of 10.0 kg. taking the density of air to 1.16 kg/m^3 and the density of helium to be 0.160 kg/m^3, will the balloon get off the ground?
Buoyant force is greater than the Net Weight. Thus it will get off the ground.
What is Density?Density is the substance which is defined as the measurement of the given mass per unit volume. It is represented by the formula
D = m/v
Where,
D = Density
m = Mass
v = Volume
Now
Helium Mass = Density × Volume
[tex]= 0.160\ kg/m^3 \times \frac{4}{3} \times \pi \times r^3\ m^3[/tex]
= 15.99 kg
Total Mass of the Balloon = Mass of the given Instruments + Mass of the given Helium Filled + Empty Mass of the given Balloon
Total Mass of the Balloon will be = 10.0 kg + 15.99 kg + 5.00 kg
= 30.99 Kg
Displaced air mass = Density × Volume
Displaced air mass [tex]= 1.16\ kg/m^3 \times \frac{4}{3} \times \pi \times r^3\ m^3[/tex]
= 115.89 Kg
Now,
Buoyant Force = Mass × 9.8
= 115.89 Kg × 9.8
Net Force = Mass × 9.8
= 30.99 kg × 9.8
Thus from the above conclusion we can say that the Buoyant force is greater than the Net Weight. Thus it will get off the ground.
Learn more about the Density here: https://brainly.com/question/1354972
#SPJ4
A 1,075 N sky diver has opened his parachute to slow his descent to a constant
speed the parachute applies 1,469 N of force. What deceleration does he
experiences?
The deceleration experienced by the 1075 N sky diver as he opened his parachute is 13.39 m/s²
How to determine the decelerationForce = mass × acceleration
We know that deceleration is the acceleration of stopping objects. Thus,
Force (F) = mass (m) × deceleration (a)
Thus, we can obtain the deceleration of the sky diver as follow:
Weight of diver (W) = 1075 NForce (F) = 1469 NAcceleration due to gravity (g) = 9.8 m/s²Mass of diver = W / g = 1075 / 9.8 = 109.69 KgDeceleration (a) =?Force = mass (m) × deceleration (a)
1469 = 109.69 × a
Divide both sides by 109.69
a = 1469 / 109.69
a = 13.39 m/s²
Thus, the deceleration is 13.39 m/s²
Learn more about deceleration:
https://brainly.com/question/28598392
#SPJ1
How does changing the mass of an object in the system's acceleration when a constant force is applied?
When a constant force is applied, an increase in the mass of an object decreases its acceleration and vice versa.
What is the relationship between the force, mass, and acceleration of an object?The mass of an object is the quantity of matter present in the object.
Force is a push or pull agent that causes a change in the motion or state of rest of an object.
Acceleration of an object is the change in velocity with time of the object.
The relationship between the force, mass, and acceleration of an object is given below:
Force = mass * accelerationMass = Force / accelerationAcceleration = Force / massFrom the above formulas, it can be seen that mass and acceleration have an inverse relationship such that as one increases, the other decreases, and vice versa.
Learn about mass and acceleration at: https://brainly.com/question/27573481
#SPJ1
Select the correct answer. What is the average velocity of the particle from rest to 9 seconds? A. 1 meter/second B. 2 meters/second C. 3 meters/second D. 4 meters/second
The average velocity is 2 meters/second. Option B.
Explanation:
This average velocity can be found using the following formula:
v = x / DT
where:
x = displacement = 18 [meters]
dt = time interval = 9 [seconds ]
v = 18 / 9
v = 2 [m/s]
The average velocity of a particle moving from one point to another over a time interval is equal to the ratio of the displacement between the two points to the time it takes the particle to move that displacement. To find the average speed take the total distance traveled divided by the time interval. To find the average velocity. Since the displacement is always less than or equal to the distance traveled, the magnitude of the average velocity is always less than or equal to the average velocity.
Learn more about The average velocity here:-https://brainly.com/question/17253369
#SPJ1
Compare and contrast cassette tapes versus mp3 players. If you were to make copies of the musical content, which would sound better on the 6th
copy?
O Cassette tapes would have better sound quality because they have digital signals to produce sound, which do not deteriorate over time.
O Mp3 players would have better sound quality because they use analog signals to produce sound.
O Both would sound the same because they both use analog signals to produce sound.
O Mp3 players would have better sound quality because they have digital signals to produce sound, which do not deteriorate over time.
If we were to make copies of musical content up to the 6th time, Mp3 players would have better sound quality because they have digital signals to produce sound, which do not deteriorate over time.
Cassette tapes work on analog magnetic tape recording format for recording audio and playback whereas mp3 is a type of digital technology that has digital signals to produce sound. This is the reason why cassettes do not sound better than digital mp3 players.
Cassette tapes being magnetic type media suffer from print which causes to hear a bit of sound before the sound is even started and result in deterioration over time whereas digital signals do no deteriorate over time.
Learn about rise of mp3 players over cassette players at:
https://brainly.com/question/4529922
#SPJ1
1. Which pair of charges experiences the weakest electrostatic force?
In order to compare the eletrostatic forces, let's calculate each one using the formula:
[tex]F=k\frac{q_1q_2}{r^2}[/tex]Where k = 9 * 10^9, q1 and q2 are the charges and r is the distance between them.
So we have:
[tex]\begin{gathered} q_1=3\cdot10^{-6},q_2=5\cdot10^{-6},r=2\colon \\ F=9\cdot10^9\cdot\frac{3\cdot10^{-6}\cdot5\cdot10^{-6_{}}}{2^2} \\ F=0.03375 \\ \\ q_1=3\cdot10^{-6},q_2=3\cdot10^{-6},r=2\colon \\ F=9\cdot10^9\cdot\frac{3\cdot10^{-6}\cdot3\cdot10^{-6_{}}}{2^2} \\ F=0.02025 \\ \\ q_1=3\cdot10^{-6},q_2=3\cdot10^{-6},r=3\colon \\ F=9\cdot10^9\cdot\frac{3\cdot10^{-6}\cdot3\cdot10^{-6_{}}}{3^2^{}} \\ F=0.009 \\ \\ q_1=5\cdot10^{-6},q_2=5\cdot10^{-6},r=3\colon \\ F=9\cdot10^9\cdot\frac{5\cdot10^{-6}\cdot5\cdot10^{-6_{}}}{3^2} \\ F=0.025 \end{gathered}[/tex]So the weakest force is the one in the third case (bottom left option): charges of -3 uC and +3 uC, and distance of 3 meters.
Which of the following is a reason that the interior of the Earth is HOT?
there will be an image below but if you dont already know, dont answer.
The option that is a reason that the interior of the Earth is hot is option C: Leftover heat from formation.
Which of the following is a reason that the interior of the Earth is hot?The heat from when the planet formed and the heat from radioactive element decay are the two main causes of the extremely heated interior of Earth.
Note that the Earth's interior is warm because the accretion process, which created Earth, produced a lot of heat. Through the course of geologic time, radioactive decay of unstable isotopes has supplied more heat (heat is a byproduct of the decay process). Only the outer core is heated enough to be above the melting point for material of that composition under that level of pressure, making molten rock or magma extremely uncommon in the interior of the earth.
Learn more about Earth interior from
https://brainly.com/question/17819106
#SPJ1
A 75-N box rests on a perfectly smooth horizontal surface. The minimum force need to start the box moving
is
A) 7.5 N. B) 75 N.
C) 750 N. D) any horizontal force greater than zero.
Here, if take it that you mean "perfectly smooth" to mean that there is no friction. If that is the case, then the box begins to move whenever there is a net horizontal force acting on it. (D) It goes without saying that the force increases as the box accelerates.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.F = ma
Where, F is the force on the box and m is the mass of the box and a is the acceleration.
T o know more about force
https://brainly.com/question/28893212
#SPJ1
Why is speed the magnitude of velocity?
Yes, Speed is the magnitude of its velocity.
What is speed?
velocity is a vector, and Speed is a scalar (just a number). Whereas a velocity has both a direction and a magnitude. As I said, the magnitude of the velocity is known as the speed.
A moving object's speed is the distance it travels in a given length of time. The average speed of an object in a given time is equal to the distance traveled divided by the time. The distance traveled by an object per unit of time is also known as its speed. When an object's speed changes, it becomes faster or slower. Acceleration occurs when the speed of an object increases. Deceleration, or negative acceleration, occurs when an object becomes slower as its speed drops.
To learn more about Speed the given link:
brainly.com/question/28224010
#SPJ10
curler pushes a stone to a speed of 3.0 m/s over a time of 2.0 s . ignoring the force of friction, how much force must the curler apply to the stone to bring it up to speed? a curler pushes a stone to a speed of 3.0 over a time of 2.0 . ignoring the force of friction, how much force must the curler apply to the stone to bring it up to speed? 3.0 n 15 n 30 n 300 n
The force required by the curler will be 30 N
we see that the stone is pushed from rest to a certain velocity
initial velocity (u) = 0 m/s
final velocity (v) = 3 m/s
mass of the stone (m) = 20 kg
Time for which the stone is pushed (t) = 2 s
Now , for calculating the force required (without taking into account the friction) we first need to calculate the acceleration
therefore , a = [tex]\frac{v-u}{t}[/tex]
a = (3- 0)/ 2
a = 1.5 m/s²
Now , we know that
Force = mass x acceleration
F = 20 x 1.5
F = 30 N '
So the force required will be 30 N .
learn more about force here :
https://brainly.com/question/1046166
#SPJ4
Define SI unit of force. A force of 8N acting on a body changes its velocity uniformly from 2 m/s to 5 m/s in 20s. Calculate the mass of the body.
Answer:
si unit of force is Newton or dyne
two tiny particles having charges 20.0 μc and -8.00 μc are separated by a distance of 20.0 cm. what are the magnitude and direction of electric field midway between these two charges? (k
Between these two charges, there is an electric field with a magnitude and direction of 10.8 x 105 N/C along AB.
In this issue, we must charge the fee. Twenty micro colums make up Q 1, and eight micro coulons make up Q 2. There is a 20 centimeter gap between these two charges. At point p, which is the intersection of the two charges, we must determine the net electric field. The electric field at point p points away from the charge because of the positive charge. He, let's assume that the electric field is even and that it is caused by the second charge, electric field point along the charge: q 2- and that is the electric field e 2.
The net electric field at point p is now equal to e 1 plus 2 and is represented by the symbol a. Consider the direction away from Question 1 as positive; hence, the direction to the right is a positive direction. The electric field owing to eq, 1 equals the column, constant k times, k 1 over 0.5 times r square, and similarly for eq, 2, where q, 1 and q 2 are the absolute magnitude of the charge, the net electric field at point p equals p over 0.5 r square 0.5 r square times.
The net electric field at point at the midpoint between the 2 charges, equals 2.52 times 10 to the 7 newtons co coulan and the direction will be towards the negative charge towards the minus 8 coulomb judge micro cholum charge. The sum of the absolute magnitude of the 2 charges and the electric field at point p equals 9 times 10 to the 9 newton meter square per column square over 0.5 times 0.2 meter square times, 20 plus 8 times 10 to the minus 6 couul Thus, at the halfway point between the t charges, this will be the net electric field.
To know more about electric field click on the link:
https://brainly.com/question/8971780
#SPJ4
A plate of cookies and mug of milk are pushed across a smooth table with the same force. The mass of the plate of cookies is 222 times the mass of the mug of milk. Assume that friction is negligible.
How do the objects' accelerations compare?
Answer:The two objects have different amounts of acceleration due to the mass of the two objects being different
Explanation: The mass will affect acceleration. The higher the mass, the slower the acceleration. The formula for acceleration is a = f/m or acceleration = force divided by mass. The acceleration is faster for the milk glass and slower for the plate with cookies because the plate with cookies has a higher mass than the glass of milk.
Answer:
Explanation:
Given:
m₁ = m - Mass of milk mug
m₂ = 222·m₁ = 222·m - Mass of a plate of biscuits
F₁ = F₂ = F
________________
a₂ / a₁ - ?
2 Newton's law:
a = F / m
a₁ = F / m₁ = F / m
a₂ = F / m₂ = F / (222·m)
a₁ / a₂ = (F·222·m) / (F·m) = 222
The acceleration of a mug of milk is 222 times the acceleration of a bowl of cookies
help me please thanks
Sound and thermal energy are kind of energy which involve movement.
What is energy?Energy is defined as the capacity of a physical system to perform work.
When a force, such as sound or pressure, causes an item or substance to vibrate, the result is sound energy. Waves of that energy pass through the substance. We refer to the sound waves as kinetic mechanical energy.
The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat.
Sound energy and thermal energy are involve movement of the particle.
To learn more about energy refer to the link:
brainly.com/question/1932868
#SPJ1
what is the average angular acceleration of a blu-ray disc as it plays an 6.0-h set of movies? (assume the disk is scanned starting at its inner radius moving outward. express your answer to two significant figures.)
The average angular acceleration of a Blu-ray disc is 0.089 rad/s².
Angular acceleration refers to the time price of exchange of angular speed. As there are types of angular velocity, namely spin angular velocity and orbital angular velocity, Angular speed is the rate of change of angular displacement and angular acceleration is the rate of trade of angular pace.
Angular Acceleration is described as the time rate of change of angular velocity. it is usually expressed in radians in keeping with second in line with second. as a result, α = d ω d t. Angular acceleration is also known as rotational acceleration.
t = time duration = 6 h = 6 x 3600 sec
α = angular acceleration = (Wmax - Wmin )/t = (315 - 121)/(6 x 3600 ) = 0.089 rad/s²
Learn more about angular acceleration here:-https://brainly.com/question/21278452
#SPJ4
the gas which is supplied to the heating system in flat has 400 kj of chemical potential energy. of this, 320 kj is transferred to the thermal store of the fluid inside the radiators in the flat. calculate the efficiency of the heating system
The efficiency of the heating system is 80%.
Efficiency is the regularly measurable capacity to keep away from losing substances, energy, effort, cash, and time in doing something or in producing the desired end result. In a greater popular experience, it is the capability to do things nicely, efficaciously, and without waste.
Heat pumps are the most efficient way to heat pretty much any enclosed area, they are quiet and comfy, they decrease your heating invoice considerably, and they double as an air-conditioning gadget in the summer. Fuel heating systems can be fueled with the aid of both herbal fuel and propane with easy adjustments accounting for the one-of-a-kind traits of every. We seek advice from each fuel as genuinely "gasoline." The maximum commonplace styles of structures encompass compelled air, warm water, steam, and localized space heating.
efficiency = output/input × 100
= 320 / 400 × 100
= 80 %
Learn more about efficiency here:-https://brainly.com/question/15418098
#SPJ1
what gauge pressure is required in the city water mains for a stream from a fire hose connected to the mains to reach a vertical height of 16.0 m ? (assume that the mains have a much larger diameter than the fire hose.)
Gauge pressure required in city water mains for a stream is 147,150 Pa
What is the Bernoulli's theorem for pressure?In fluid mechanics, Bernoulli's principle states that an increase in fluid velocity occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. This principle is named after the Swiss mathematician Daniel his Bernoulli published it in his 1738 book Fluid Mechanics.
According to the Bernoulli's Equation:
P₁ + ρgy₁ + ([tex]\frac{1}{2}[/tex])ρv₁² = P₂ + ρgy₂ + ([tex]\frac{1}{2}[/tex])ρv₂²
where, y₁ = initial height
y₂ = final height
Initial height is 0 meters and final height is 15 meters.
The problem states that the mains have a much larger diameter than the hose, so v₁ = 0
Once our water reaches a 15 m. altitude, it stops going anymore higher. Therefore, v₂ also be 0.
P₁ = P₂ + ρgy₂
Since, we are solving for gauge pressure, we can assume that the pressure at the top of our column of water is zero.
P₁ = ρgy₂
P₁ = 1000 × 9.8 × 15
P₁ = 147,150 Pa
To know more about Bernoulli's theorem visit:
https://brainly.com/question/13098748
#SPJ4
What is the marginal cost of increasing production from 5,000 units to 6,000 units?
It is to be noted that the marginal cost of increasing production from 5,000 units to 6,000 units, given the information provided, is: "$0.10" (Option D)
What is Marginal Cost?The marginal cost in economics is the change in total cost that occurs when the amount produced is increased or the cost of producing more quantity.
Mathematically, it is expressed as:
MC= ΔC/ ΔQ
Where:
MC = marginal cost
ΔC = change in cost; and
Δ Q = change in quantity
The solution is derived as follows:
Given that:
Total Cost = Fixed cost + Variable cost
Where the problem is defining the marginal cost of upping production from 5000 units to 6000 units.
In the attached table, the Second Row and Third Row respectively indicate increasing production from 5000 units to 6000 units.
In the Second Row, where the number of employees is 20, the output is 5000 units and the Total cost is $2200
Since Total cost = Fixed cost + Variable cost
Therefore, Total cost = $2000 + $200 = $2200
In the Third Row, when the number of employees is 30, the output is 6000 units, and the Total cost is $2300
hence the Total Cost = $2000 + $300 = $2300
So, Marginal Cost =
Change in total cost/change in output units
Where change in Total cost
= Third Row total cost - Second Row total cost
= $2300 - $2200
= $100
and where Change in output units
= Third Row output units - Second Row output units
= 6000 units - 5000 units
= 1000 units
It is verified that the change in total cost is $100 and the change in output units is 1000 units.
Hence, the Marginal cost is:
MC - Change in total cost / Change in output units
= $100 / 1000 units
= $0.10
Learn more about Marginal Cost:
https://brainly.com/question/12231343
#SPJ1
Full Question:
See attached image
A car on the freeway is traveling north at 55 mph on a straight and flat part of the road.
The mass of the car is 1460 kg. The engine is pushing the car forward with a force of
760 N. while the drag on the car is 530 N.
a. Make a free body diagram (FBD) of the car. Label all the forces.
b.Find the weight, Fe. of the car.
C.Calculate the net force on the car. Include magnitude and direction.
The weight of the car is 14308 Newtons and the net force acting on it is 230 N. The free body diagram is attached with the answer.
What is Drag?A drag is force that opposes the motion of an object by acting in the direction opposite to its motion.
Given is a car on the freeway that is traveling north at 55 mph on a straight and flat part of the road. The mass of the car is 1460 kg. The engine is pushing the car forward with a force of 760 N. while the drag on the car is 530 N.
PART - A
The free body diagram is attached with the answer. The following equations will help in mathematical analysis.
F[engine] - F[drag] = ma
a = {F[engine] - F[drag]}/m
and
W = N = mg
PART - B
The weight of the car can be calculated as follows -
W = mg = 1460 x 9.8 = 14308 Newton
PART - C
Net force on the car [F] = Force provided by engine {F[E]} - drag force {F[D]}
F = 760 - 530 = 230 N
The direction of force is towards north.
Therefore, the weight of the car is 14308 Newtons and the net force acting on it is 230 N. The free body diagram is attached with the answer.
To solve more questions on laws of motion, visit the link below-
https://brainly.com/question/23214045
#SPJ1
helpppppppppppppppp
A light year is the amount of time it takes for light from the Sun to reach the Earth.
True
False
The ozone layer is important to human life because it protects people from:
microwaves.
gamma rays.
ultraviolet light rays.
None of the choices are correct.
UVA and UVB rays can cause skin damage and skin cancer.
True
False
Which of the following chemicals destroys the ozone layer?
CFCs
gasoline
hydrogen
All of the choices are correct.
The Milky Way is 100,000 light years in size.
True
False
All stars die out after becoming white dwarfs.
True
False
Black holes:
are the brightest objects in space.
are the most well understood objects in space.
pulse in a regular pattern.
None of the choices are correct.
Answer:
Highlighted words are the correct answer
A light year is the amount of time it takes for light from the Sun to reach the Earth.
True
False, a light year is the length light travels in a year
The ozone layer is important to human life because it protects people from:
microwaves.
gamma rays.
ultraviolet light rays.
None of the choices are correct.
UVA and UVB rays can cause skin damage and skin cancer.
True
False
Which of the following chemicals destroys the ozone layer?
CFCs
gasoline
hydrogen
All of the choices are correct.
The Milky Way is 100,000 light years in size.
True
False
All stars die out after becoming white dwarfs.
True
False
Black holes:
are the brightest objects in space.
are the most well understood objects in space.
pulse in a regular pattern. - only some pulse in a regular pattern though
None of the choices are correct.
Which of the following would be a typical application of gamma radiation?
Killing cells and organisms
Producing fluorescence
Heating objects
Transmitting signals between Earth and space
Electromagnetic radiation with the highest energy and shortest wavelength is a gamma ray. When radioactive atomic nuclei disintegrate, gamma rays are generated.
Explain about Gamma radiation?Gamma radiation causes atoms to lose their electrons. As a result, they are classified as ionizing radiation. Studies have shown that radiation can damage DNA, and that this damage can lead to cancer.
In certain cases, extreme exposure can cause cancer or even death. Some tiny microorganisms (bacteria, archaea, and fungi, together referred to as "microbes") have evolved radiation tolerance, despite the fact that gamma radiation can be extremely deadly for humans.
It is common practise to utilise gamma radiation to destroy live things like cells and organisms.
To learn more about Gamma radiation refer to:
https://brainly.com/question/22166705
#SPJ13
how much charge is on each plate of a 4.00-mf capacitor when it is connected to a 12.0-v battery? (b) if this same capacitor is connected to a 1.50-v battery, what charge is stored?
A charge of 4.8 x 10 5 C is present on each capacitor plate.
B. The capacitor has a 4.5 x 10 6 J energy capacity.
Describe the capacitor.
A capacitor is a device used to store electrical power and charge. It is composed of at least two separated electrical conductors. Although usually referred to as "electrodes," these electrical conductors are actually "capacitor plates." A capacitor is referred to as a "vacuum capacitor" if the space between capacitors is nothing more than a vacuum. However, the space is often filled with a dielectric, an insulating material. How much storage space a capacitor has is determined by its capacitance attribute.
A. Establishing the charge
Capacitor (C) = 4 F = 4 10 6
Voltage = 12 volts.
Charge (Q) = ?
Q = CV
Q = 4×10¯⁶ × 12
Q = 4.8×10¯⁵ C
B. Measuring the amount of energy the capacitor has stored.
Voltage (V) equals 1.5 V.
Energy (E) =? E = 12CV Capacitor (C) = 4 F = 410 6
²\sE = ½ × 4×10¯⁶ × 1.5²
E = 2×10¯⁶ × 2.25\sE = 4.5×10¯⁶ J
A. There is 4.8 x 10 5 C B of charge on each capacitor plate. The capacitor has 4.5 x 10 6 J of stored energy.
To know about capacitor from the link
https://brainly.com/question/21851402
#SPJ4
A book of mass 0.4 kg is pushed to the left across a table with a force of 2.4 N. Kinetic friction provides a force of magnitude 0.8 N.
What is the net force acting on the book? Include magnitude and direction. N (answer format example -4 or +4)
(normal force is 3.92 N)
!!!!!!!! PLEASE HELP
-1.6 N
Split the forces into those in the x-direction and those in the y-direction. Since the book is not accelerating upward or downward, the net force in the y-direction is zero. Add the two forces in the x-direction (applied force and kinetic friction). This is the net force.
See details:
In three to five sentences, explain how you would conduct an experiment to investigate the relationship between the applied force and the displacement of the spring, and describe its expected results.
Hooke's law states that the applied force F equals a constant k times the displacement or change in length x.
What is Hooke's law?
The force necessary to extend or compress a spring by a certain distance scales linearly with respect to that distance, according to Hooke's law, an empirical law in physics.
Hooke's Law is a principle of physics that states that the that the force needed to extend or compress a spring by some distance.
F = K.x
A straight line passing through the origin can be drawn by plotting the spring's stretch versus the weight that has been applied to the hanger. This implies that a spring's extension is inversely proportional to the force used to stretch it.
To learn about Hooke's law refer to the link:
brainly.com/question/13348278
#SPJ1
when you weigh yourself on good old terra firma (solid ground), your weight is 545 n . in an elevator your apparent weight is 470 n . what is the magnitude of the elevator's acceleration?
The magnitude of the elevator's acceleration is 18.25 m/s².
What is the acceleration of the elevator?The acceleration of the elevator is calculated as follows;
R = Fa - Fg
R = ma - mg
R = m(a - g)
where;
R is the apparent wight on elevatorm is your massa is your accelerationg is acceleration due to gravitym = W/g
m = (545 N) / (9.8 m/s²)
m = 55.61 kg
ma = R + mg
ma = R + W
a = (R + W) /m
a = (470 + 545) / 55.61
a = 18.25 m/s²
Learn more about elevator's acceleration here: https://brainly.com/question/6080367
#SPJ1