Emily takes a trip, driving with a constant velocity of 85.5 km/h to the north except for a 22 min rest stop. If Emily's average velocity is 68.8 km/h to the north, how long does the trip take? Show your work

Answers

Answer 1

Answer:

1½ hours

Explanation:

Let the amount of time she drove at 85.5 km/hr be t, then

The distance that she rode would be 85.5 * t

This is means Emily has traveled the same distance at 68.8 km/hr without any stoppage whatsoever. Thus, we can create an equation as such

85.5 * t = 68.8 (t + 22/60), the 22/60 being, converting 22 minutes into hours. We proceed further as

85.5t = 68.8t + 1513.6/60, multiplying all sides by 60, we have

5130t = 4128t + 1513.6, now we collect like terms

5130t - 4128t = 1513.6

1002t = 1513.6

t = 1513.6/1002

t = 1.51 hrs, or in minutes, 1.51 * 60

t = 90.63 minutes. 1 hour and 36 minutes

So the total time the trip took, 22 minutes in addition, or say, 1 hour 58 minutes.


Related Questions

Can someone help me with this one please I need help I will mark brainless

Can someone help me with this one please I need help I will mark brainless

Answers

Answer:

Your answer is A) 3.33ft/min E

Explanation:

i know this because i know to find the velocity you have to divide distance and time. So for this question your distance=10 and your time=3.

How high would a 8 kg mass need to be lifted to have a potential energy of 400 J?

Answers

Explanation:

Potential Energy = m g h

400 J   =  8 kg  * 9.81 m/s^2  * h

400 / (8 *9.81) = h = 5.1 m

With a force of 200 N a body is lifted 20 meters in 20 seconds. Calculate the weight of this body. Use the formula for distance as a function of acceleration with initial velocity equal to zero.

Answers

Answer:

The weight of the body is 3,924 N.

Explanation:

To solve this problem, we can use the formula for distance as a function of acceleration with initial velocity equal to zero:

distance = (1/2) x acceleration x time^2

We know that the distance the body is lifted is 20 meters, the time taken is 20 seconds, and the force applied is 200 N. We can use this information to calculate the weight of the body.

First, we need to calculate the acceleration:

distance = (1/2) x acceleration x time^2

20 = (1/2) x acceleration x (20)^2

acceleration = 0.5 m/s^2

Now that we know the acceleration, we can use the formula for weight:

force = mass x acceleration

We can rearrange this formula to solve for mass:

mass = force / acceleration

mass = 200 N / 0.5 m/s^2

mass = 400 kg

Finally, we can calculate the weight of the body using the formula:

weight = mass x gravity

Assuming a standard acceleration due to gravity of 9.81 m/s^2, we can calculate the weight:

weight = 400 kg x 9.81 m/s^2

weight = 3,924 N

Therefore, the weight of the body is 3,924 N.

A 750 kg race car accelerates to the right. The engine applies a force of
+7000 N to the car. The total friction on the car in the opposite
direction is -200 N.
Find the net force on the car then use 'Fnet = m a' to find the
acceleration.
O a
b
Oc
Od
12.4 m/s2
10.5 m/s2
8.0 m/s2
9.1 m/s2

Answers

Refer to the photo taken.
Answer: Option D, 9.1 m/s^2
A 750 kg race car accelerates to the right. The engine applies a force of+7000 N to the car. The total

(100 POINTS AND BRAINLIEST)
A balloon has a volume of 0.5 L at 20°C. What will the volume be if the balloon is heated to 150°C? Assume constant pressure and mass

Answers

\({\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}\)

0.72 liters

Explanation:

\( \sf Volume \: before \: heated(V_1) = 0.5l \\ \\ \sf Temperture \: before \: heated(T_1) = 20{ \degree} C = 20 + 273.15 = 293.15K \\ \\ \sf Volume \: after \: heated(V_2) = ? \\ \\ \sf Temperature \: after \: heated(T_2) = 150{ \degree}C = 150 + 273.15 = 423.15K\)

\( \textsf{By using Charles's law} \\ \\ \tt{ \frac{V_1}{T_1} = \frac{V_2}{T_2} }\)

\( \sf Now \: sustituting \: the \: values\)

\( \sf \longmapsto \frac{0.5}{293.15} = \frac{V_2}{423.15} \\ \\ \\ \sf \longmapsto \frac{0.5 \times 423.15}{293.15} = V_2 \\ \\ \\ \sf \longmapsto \frac{211.575}{293.15} = V_2 \\ \\ \\ \boxed {\longmapsto 0.72l = V_2}\)

The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.40 the weight of the object is 4.2

Answers

The frictional force of an object is the product of the normal force and coefficient of kinetic friction. Here the frictional force acting on the object  is 16.4 N.

What is frictional force?

Frictional force is a kind of force acting on a body to resist it from motion. Thus, the direction of the force will be in negative with the magnitude. Frictional force is the product of coefficient of friction and the normal force.

The normal  force acting on the object of mass 4.2 Kg is N = mg

N = 4.2 Kg × 9.8 m/s² = 41.16 N

Frictional force = ц N

                         = 0.40 × 41.16 N

                         = 16.4 N.

Therefore, the frictional force acting between the surface of the object and the floor is 16.4 N

To find more on frictional force, refer here:

https://brainly.com/question/1714663

#SPJ1

Your question is incomplete. But your complete question probably was:

The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.40 the weight of the object is 4.2 kg. What is the frictional force of the object?


Jerry's boat capsized last Saturday, he had been fishing with a friend. His friend made it to shore and went
for help, but it was too late. The boat was pulled out of the river and taken to the police station, Jerry's body
was found floating in the missouri river the next day. The police assumed after speaking with the friend, that
Jerry drowned, but a quick look at the body by the ME and the manner of death had to be listed as pending
investigation. The ME found petechial hemorrhaging and there was no water in his lungs.
What do you think actually happened? Provide evidence and reasoning for your claim
HELPPP

Answers

Answer:

the friend strangled Jerry to death then went to get help.

Explanation:

Explain/Describe how atoms in domains determine whether a material is magnetic or not. (Please help this is due today)

Answers

Answer:

In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.

In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.

The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.

So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.

42. Silicon is the main ingredient of both glass and semiconductor devices, yet the physical properties of glass are different from those of semiconductor devices. Explain.​

Answers

Because these materials have relatively small gap compare to insulator

Read the text below. Each sentence is about one, two or no energy at all. (5 points) Name the type (s) of energy for each sentence, or leave the space blank (if in the sentence no energy is mentioned). Artan decided to paint the house. He moved the furniture, climbed the stairs, and began work. After two hours he took a break, ate lunch and turned on the radio to listen to some music. When done, turn on a heater to allow the paint to dry as quickly as possible. At dinner everything had ended. a) ............................................................................................................................................ b) ............................................................................................................................................ c) ............................................................................................................................................ d) ............................................................................................................................................     e) ............................................................................................................................................​

Answers

Yellow orange green green bowls green orange green bowls orange orange juice

Atoms are ___because they have equal amounts of positive and negative charges?

Answers

I think the answer is neutral
Neutral because protons are positive and electrons are negative

1 The displacement of a "spring + mass" system in simple harmonic motion on a frictional less surface can be described by the expression x = A cos(3rt/T). The spring constant is k and the mass is m. Describe the potential as well as the kinetic energies of the system at the following time instances. (a) At t = 0. [2] (b) At t = T. [2] (c) At t = T/6. [2] (d) At t= T/3. [2] (e) At t = T/2. [2]​

Answers

The potential and kinetic energy of the system at the following time instances is zero and maximum.

From the given,

The displacement of the system is, x = A cos(3πt/T)

1) At t =0, the displacement of the system is given by, x = cos(3π×0/T)= cos(0) = 1. The displacement is maximum at t=0. Hence, the potential energy is maximum and kinetic energy is zero.

2) At t=T, the displacement, x = cos(3πT/T)= cos(3π) = -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.

3) At t = T/6, the displacement x = cos(3πT/6T)=cos(π/2)=0, the displacement is zero, and hence, both the potential and kinetic energy is zero.

4) At t=T/3, the displacement, x= cos(3πt/T)=cos(3πT/3)= -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.

5) At t=T/2, the displacemetn x = cos(3πt/T) = cos(3πT/2T) = cos (3π/2)=0. Hence, both the potential and kinetic energy is zero.

To learn more about potential and kinetic energy:

https://brainly.com/question/15764612

#SPJ1

An object is attached to a trolley with a 0.80 kg mass, which is then pushed into an identical trolley at a speed of 1.1 m / s. The two trolleys couple together and move at a speed of 0.70 m / s after the collision. Calculate the mass of the object.

Answers

The mass of the object is approximately 0.457 kg.

The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.

Using the momentum equation, the mass of the object can be calculated as follows:

Total momentum before collision = Total momentum after collision

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

Solving for the mass of the object, we get:

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object

0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object

0.32 kg = 0.70 kg * mass of the object

Dividing both sides by 0.70 kg, we find:

mass of the object = 0.32 kg / 0.70 kg = 0.457 kg

The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.

After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.

In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.

Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.

for such more questions on  mass

https://brainly.com/question/86444

#SPJ8

What are 5 of the most of the important things , Quantum and nuclear physics

Answers

Answer:

What is the difference between quantum or nuclear physics?

How can I get the most out of Crunchbase Pro?

"Quantum physics" is an umbrella term for any field which uses the quantum formulation of the universe - I.e the postulate that observables are well defined as the eigenstates of Hermitian Operators, and all state wavefunctions obey the Schrödinger equation.

Basically all modern science uses quantum mechanics to a degree - astronomy needs it to predict the behaviour of white dwarfs, condensed matter for semiconductor behaviour and so on.

Nuclear physics is a field focussing on the internal structure and interactions of the nucleus. It lies well within the range of the quantum domain, and is 100% reliant on quantum physics to make any sensible predictions. Nuclear physics also has significant crossover with "particle physics", such that the two are quite often used interchangeably.

Nuclear Physics on the other hand, concerns itself with the particles of the nucleus called nucleons (protons & neutrons). ... In the nucleus the leading theory is quantum chromodynamics (QCD) which attempts to explain phenomena in terms of quarks which are the particles that are proposed to make up the nucleons.

why fan videos be streamed from the cloud to a computer with no lost quality

Answers

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

How do digital signals work?

An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.

Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

To know more about Digital signals, check out:

https://brainly.com/question/28160561

#SPJ1

Please help me with this question.

Please help me with this question.

Answers

With 20 windings, the generator will produce a higher EMF and, consequently, a larger current. This increased current will provide more power to the light bulb, resulting in a brighter illumination compared to the dim illumination observed with only 5 windings.

When you increase the number of wire windings in the generator from 5 to 20, the effect on the light bulb will be a brighter illumination. The brightness of the light bulb is directly proportional to the number of windings in the generator.

By increasing the number of windings, you are increasing the amount of wire wrapped around the magnet. This results in a higher number of turns per unit length, leading to an increased magnetic flux passing through the wire coils.

According to Faraday's law of electromagnetic induction, a change in magnetic flux induces an electromotive force (EMF) in a conductor, which in this case is the copper wire. The induced EMF causes electric current to flow through the wire, creating a flow of electrons.

The 30-W light bulb requires a certain amount of electrical power to produce its specified brightness. With 20 windings, the generator will produce a higher EMF and, consequently, a larger current. This increased current will provide more power to the light bulb, resulting in a brighter illumination compared to the dim illumination observed with only 5 windings.

For more such questions on current

https://brainly.com/question/1100341

#SPJ8

The resultant force is equel to the.......of all the force


A) sum
B) product
C) subtraction
D) Division​

Answers

Answer:

A) sum

Explanation:

That's the answer bro

Answer:

the answer is C subtraction

The earth’s gravity pulls with a force of 10N on each kilogram of an object mass calculate the weight of a 15kg sack of potatoes

Answers

Answer:

150 N

Explanation:

10*15 = 150 N

An infinite sheet carries a uniform, positive charge per unit area. The electric field produced by the sheet is represented by parallel lines drawn with a density N lines per m2 that are perpendicular to and away from the sheet. The charge per unit area on the sheet is doubled. How should the density of the electric field lines be changed

Answers

Complete Question

An infinite sheet carries a uniform, positive charge per unit area. The electric field produced by the sheet is represented by parallel lines drawn with a density N lines per m2 that are perpendicular to and away from the sheet. The charge per unit area on the sheet is doubled. How should the density of the electric field lines be changed?

A It should stay the same

B  It should be quadrupled.

C It should be quintupled

D It should be doubled.

E It should be tripled

Answer:

Option D is the correct option

Explanation:

Generally electric field is mathematically represented as

        \(E = \frac{\sigma}{\epsilon_o}\)

Where \(\sigma\) is the charge per unit area (Charge density )

From the question we are told that \(\sigma\) is doubled hence the

     \(E = \frac{2 \sigma }{\epsilon_o}\)    

Looking the equation above we see that the value of the electric field will also double given that it is directly proportional to the charge density

5
Select the correct answer.
How many people lost their jobs when the minimum wage increased from $12 to $18?
labor supply
minimum wage
KE
equilibrium wage
18 33 45
Number of workers
Wages
$18
$12
O A. 15
B. 18
O C.
33
O D. 45
labor demand

5Select the correct answer.How many people lost their jobs when the minimum wage increased from $12 to

Answers

The numbers of people that lost their jobs when the minimum wage increased from $12 to $18 is option A. 15

What is the  minimum wage?

Determining the effect that an increase in minimum wage will have on employment is a multifaceted matter influenced by several factors including the state of the economy, the industry in question, as well as the dynamics of the labor market.

Raising the minimum wage has the potential to result in a variety of consequences.

From the graph, you can see that:

18 people worked at $12

33 people worked at  18

Hence: 33- 18

= 15

Therefore, option is correct.

Learn more about minimum wage from

https://brainly.com/question/14927987

#SPJ1

Write a short essay describing the six key features of Mesopotamia. Be sure to include how it advanced human society as a whole.

Write a short essay describing the six key features of Mesopotamia. Be sure to include how it advanced

Answers

Mesopotamia, with its key features of specialization, government, cities, religion, trade, and written records, advanced human society by fostering economic growth, establishing governance structures, creating urban centers, facilitating cultural exchange, promoting trade networks, and revolutionizing communication and knowledge preservation through writing.

Mesopotamia, often referred to as the "cradle of civilization," possessed several key features that contributed to its advancement and influenced human society as a whole. These features include specialization, government, cities, religion, trade, and written records. Let's explore each of these key features and their significance.

Specialization: Mesopotamian society developed specialization, where individuals began to focus on specific occupations and trades. This led to the emergence of skilled craftsmen, farmers, priests, scribes, and merchants. Specialization allowed for the production of surplus goods, leading to economic growth and the establishment of a more complex society.

Government: Mesopotamia witnessed the development of early forms of government. Initially, city-states were governed by religious leaders known as priest-kings. Over time, as society grew more complex, secular leaders, such as kings, emerged to rule the city-states. These early forms of governance laid the foundation for later systems of government and administration.

Cities: Mesopotamia was characterized by the rise of urban centers. These cities served as political, economic, and cultural hubs. They were densely populated, with advanced infrastructure, including defensive walls, temples, markets, and residential areas. The cities of Mesopotamia, such as Ur, Uruk, and Babylon, provided the framework for the organization and development of early urban societies.

Religion: Religion played a central role in Mesopotamian society. The people of Mesopotamia believed in a pantheon of gods and goddesses and practiced polytheism. Temples were constructed as sacred spaces to honor and worship deities. Priests held significant influence, serving as intermediaries between the people and the divine. Religious beliefs and rituals provided a sense of identity, social cohesion, and moral guidance to the Mesopotamian community.

Trade: Mesopotamia's strategic location between major rivers, the Tigris and Euphrates, facilitated extensive trade networks. The abundance of resources, such as fertile land for agriculture, allowed for surplus production. This surplus was exchanged with neighboring regions, fostering trade and the establishment of commercial relationships. The exchange of goods and ideas through trade networks promoted cultural diffusion and contributed to the overall prosperity and interconnectedness of Mesopotamia.

Written Records: Mesopotamia is credited with the invention of writing, making it one of the earliest literate civilizations. Scribes used wedge-shaped marks known as cuneiform to record important information on clay tablets. The development of writing enabled the recording of laws, contracts, administrative documents, literature, and historical accounts. Written records not only facilitated communication and administration but also served as a means of preserving knowledge and passing it down through generations.

Collectively, these key features of Mesopotamia played a pivotal role in advancing human society as a whole. Specialization allowed for the efficient allocation of resources and the growth of economies. The establishment of early forms of government provided organization and stability to communities. Urbanization transformed social structures and fostered cultural and intellectual exchange. Religion served as a unifying force and provided a moral framework. Trade networks expanded horizons and facilitated the exchange of goods and ideas. Finally, the invention of writing revolutionized communication, education, and the preservation of knowledge.

Therefore, Mesopotamia's legacy as a cradle of civilization lies in its ability to establish foundations for complex societies, laying the groundwork for subsequent advancements in various aspects of human life.

To learn more about Communication click:

https://brainly.com/question/29811467

#SPJ1

. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification

Answers

The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.

Given:

Object height (h) = 5 cm

Focal length of the convex lens (f) = 10 cm

Object distance (u) = 15 cm (positive since it's on the same side as the incident light)

To determine the nature, position, and size of the image, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values:

1/10 = 1/v - 1/15

To simplify the equation, we find the common denominator:

3v - 2v = 2v/3

Simplifying further:

v = 30 cm

The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.

To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -30 / 15 = -2

The magnification is -2, indicating that the image is inverted and twice the size of the object.

For more such information on: convex lens

https://brainly.com/question/30010355

#SPJ8

When the distance between a point source of light and a light meter is reduced from 6.0m to 2.0 m, the intensity of illumination at the meter will be the original value multiplied by _____.

Answers

Answer:

Explanation:

Let the point source have power P .

At distance r , the intensity I

I = P / 4πr² . If intensity at 6 m and 2 m be I₁ and I₂

I₁ = P / 4π x 6²

I₂ =  P / 4π x 2²

I₁ / I₂ = 2² / 6²

= 1 / 9

I₂ = 9 I₁

Intensity will be 9 times that at 6 m .

what does is mean when a light wave refracts?1.the light waves do not change when they move through different mediums2.the light waves bend and change direction 3.the light waves are destroyed when there is an interference 4. the light waves bounce back off of a mirror

Answers

2.the light waves bend and change direction

Explanation

Refraction is the bending of light, as it passes from one transparent substance into another,in physics, the change in direction of a wave passing from one medium to another caused by its change in speed.

hence, the answer is

2.the light waves bend and change direction

I hope this helps yo u

what does is mean when a light wave refracts?1.the light waves do not change when they move through different

Can someone please help me

Can someone please help me

Answers

With the application of resolution of vector, the net force is 197 N and the direction is 59 degree.

Resolution of Forces

Resolution of forces can simply be solved by resolving to horizontal and vertical component.

In the given figure, we will resolve the forces into horizontal and vertical components.

Horizontal component

Fh = 80 cos 80 + 60 cos 30 + 70 cos 60

Fh = 13.89 + 51.96 + 35

Fh = 100.85 N

Vertical Component

Fv = 80 sin 80 + 60 sin 30 - 70 sin 60

Fv = 78.78 + 30 + 60.62

Fv = 169.4 N

Resultant force = √( Fh² + Fv²)

Resultant force = √(100.85² + 169.4²)

Resultant force = √(10170.7 + 28696.4)

Resultant force = √38867.06

Resultant force = 197.15 N

The direction will be

Tan Ф = Fv/Fh

Tan Ф = 169.4 / 100.85

Tan Ф = 1.68

Ф = \(tan^{-1}\)(1.68)

Ф = 59.23

Therefore, the magnitude of resultant force is 197.15 N and the direction is 59 degree north east

Learn more about Net Force here: https://brainly.com/question/11556949

#SPJ1

7. A rock of mass 5 kg is pushed over the edge of a cliff which is 200 m high. a) Ignore air resistance and calculate the speed of the rock at the bottom of the cliff. In reality, air resistance cannot be ignored. The rock eventually reaches terminal velocity of 30 m.s-¹.
b) Calculate the kinetic energy of the rock at the bottom of the cliff.
c) Calculate the work done by air resistance.
d) Calculate the average force exerted by the air on the rock.​

Answers

Speed of the rock at the bottom of the cliff is 44.3 m/s.

Kinetic energy of the rock at the bottom of the cliff is 4915 J.

Work done by air resistance is -2250 J

Average force exerted by the air on the rock is 11.25 N.

How to determine kinetic energy and speed?

a) The speed of the rock at the bottom of the cliff can be calculated using the equation:

v = √(2gh)

where v = final velocity, g = acceleration due to gravity (9.81 m/s²), and h = height of the cliff (200 m).

Plugging in the values:

v = √(2 x 9.81 x 200) = 44.3 m/s

Therefore, the speed of the rock at the bottom of the cliff is 44.3 m/s.

b) The kinetic energy of the rock at the bottom of the cliff can be calculated using the equation:

KE = (1/2)mv²

where KE = kinetic energy, m = mass of the rock (5 kg), and v = velocity (44.3 m/s).

Plugging in the values:

KE = (1/2) x 5 x (44.3)² = 4915 J

Therefore, the kinetic energy of the rock at the bottom of the cliff is 4915 J.

c) The work done by air resistance can be calculated using the work-energy principle:

Work done by air resistance = KE_initial - KE_final

where KE_initial = initial kinetic energy of the rock, and KE_final = final kinetic energy of the rock (at terminal velocity).

Since the rock was initially at rest, its initial kinetic energy is zero. At terminal velocity, the kinetic energy of the rock is:

KE_final = (1/2)mv_terminal²

where m = mass of the rock (5 kg), and v_terminal = terminal velocity (30 m/s).

Plugging in the values:

KE_final = (1/2) x 5 x (30)² = 2250 J

Therefore, the work done by air resistance is:

Work done by air resistance = 0 - 2250 = -2250 J

The negative sign indicates that the work done by air resistance is in the opposite direction to the motion of the rock.

d) The average force exerted by the air on the rock can be calculated using the equation:

Work done by air resistance = Force x Distance

where Force = average force exerted by air on the rock, and Distance = distance travelled by the rock.

Rearrange the equation to solve for Force:

Force = Work done by air resistance / Distance

Plugging in the values:

Force = -2250 / 200 = -11.25 N

Therefore, the average force exerted by the air on the rock is 11.25 N. The negative sign indicates that the force is in the opposite direction to the motion of the rock.

Find out more on kinetic energy here: https://brainly.com/question/8101588

#SPJ1

How do fitness assessments help with a fitness program?
They provide an excuse to eat as much as you want.
They show the negative aspects of working out.
They ensure that the program is meeting the desired goals.
They demonstrate where a person can quit their program.

Answers

The fitness assessments helps as, they ensure that the program is meeting the desired goals.

option C.

What is fitness assessment?

Fitness assessment is defined as a process of evaluating an individual's physical fitness levels and overall health.

Fitness assessment typically involves a series of tests, measurements, and evaluations that are designed to assess various components of physical fitness, such as;

cardiovascular endurancemuscular strength and enduranceflexibilitybody composition, etc

Thus, fitness assessments ensure that the program is meeting the desired goals.

Learn more about fitness assessment here: https://brainly.com/question/30158743

#SPJ1

The bellows of an adjustable camera can be extended so that the largest distance from the lens to the film is 1.45 times the focal length. If the focal length of the lens is 6.14 cm, what is the distance from the closest object that can be sharply focused on the film

Answers

Answer: 19.80 cm

Explanation:

Given

focal length \(f=6.14\ cm\)   (as focal length is positive, it is converging lens)

Image distance \(v=1.5f\)

\(v=1.5\times 6.14\\v=9.21\ cm\)

using lens formula

\(\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\)

insert values

\(\dfrac{1}{u}=\dfrac{1}{6.14}-\dfrac{1}{8.9}\\\\\dfrac{1}{u}=0.1628-0.1123\\\\\dfrac{1}{u}=0.0505\\\\u=19.80\ cm\)

Thus, the distance of the object is 19.80 cm

The distance of the object will be "19.80 cm".

Given:

Focal length, f = 6.14 cm

Now,

The image distance will be:

→ \(v = 1.5 f\)

     \(= 1.5\times 6.14\)

     \(= 9.21 \ cm\)

By using the lens formula, we get

→ \(\frac{1}{v} + \frac{1}{u} = \frac{1}{f}\)

By putting the values, we get

→ \(\frac{1}{u} = \frac{1}{6.14} - \frac{1}{8.9}\)

   \(\frac{1}{u} = 0.1628-0.1123\)

   \(\frac{1}{u} = 0.0505\)

   \(u = 19.80 \ cm\)

Thus the answer above is correct.    

Learn more about focal length here:

https://brainly.com/question/25020197

Imagine a 15 kg block moving with a velocity of 20 m/s to the left. Calculate the Kinetic Energy of this block. Formula: Work with Units: Variables with units: Final Answer with units:

Answers

Answer:

3000 J (joules)

Explanation:

Use the formula for kinetic energy which is:

\( k.e = \frac{1}{2} mv ^{2} \)

Where m is the mass and v is the velocity. If we put the values into the formula we get: 0.5 * 15 * (20)*(20) = 3000J

If the magnetic force is 3.5 × 10–2 N, how fast is the charge moving?

If the magnetic force is 3.5 102 N, how fast is the charge moving?

Answers

Answer:

D

Explanation:

Took it on edg

The speed of the charge at the given magnetic force and field is determined as 1.1 x 10⁴ m/s.

Speed of the charge

The speed of the charge is calculated as follows;

F = qvBsinθ

v = F/qBsinθ

where;

F is the magnetic forceB is magnetic fieldv is speed of the charge

v = (3.5 x 10⁻²)/(8.4 x 10⁻⁴ x 6.7x 10⁻³ x sin35)

v = 10,842.33 m/s

v ≅ 1.1 x 10⁴ m/s

Learn more about speed of charge here: https://brainly.com/question/24116470

#SPJ2

Other Questions
a 1250 kg car on a 10-m-high hill is traveling at 17 m/s suddenly runs out of gas while approaching a valley. what will be the car's speed as it coasts into the gas station (which is on a 15-m-high hill) on the other side of the valley? (assume that no energy is loss to friction.) Which of the following represents the graph of the equation y = 5x 4? if ur quick u get brainlyist write any one procedure of modern technology A 0.133 moles sample of gas in a 525 mL container has a pressure of 312 torr. The temperature of the gas is ________ degrees celsius.a. 20.3b. -253c. -20.3d. 203e. 22.4 Which energy source allowed factories to move away from rivers?OA. WaterOB. OilO C. CoalO D. Steam on the state level, the court that first hears a case is known as the court of . a. first trial b. first ruling c. minor hearing d. first instance please select the best answer from the choices provided a b c d Can HI(aq) dissolve Al(s)? Can HI(aq) dissolve Ag(s)?Can HI(aq) dissolve Au(s)? The fact that each transaction has a dual effect on the accounting elements provides the basis for what is called? Janice works 8 hours per day on Fridays and Saturdays each week. She earns $9.70 per hour.What is her gross pay in a week?$155.20$73.60$19.40$9.70 ITS NOT C FOR ME ON EDGE ONLY A B OR D!!!Which is a correct statement about common types of test questions? There is little difference in how these types of questions should be approached.Most can be approached by determining relationships between sets of ideas.Most can be approached by determining whether an idea or fact is accurate.Each type of question should be approached with a specific strategy. Locate the centroid of the plane area bounded by the equation y2 = 4x, x = 1 and the x-axis on the first quadrant. How would many Americans in today'ssociety view the Espionage Act andSedition Act, both of which passedduring World War I? A leukocyte is also known as a/an ______ , a cell that fights disease and infection.red blood cellwhite blood cellinterstitial cell Please help me find the unit and rate! :( 1.Which is the lowest level of organization for the system in a humanbody? *brain cellnerve tissue why was Douglas MacArthur placed in charge of the rebuilding of Japan after WWII?A. he was known as a strict military leader who disliked Japan.B. he was a respected leader in the pacific whom the Japanese knewC. he had already helped to rebuild germany after WWII.D. he was running for president and needed the media coverage. Question 1: isabel's parents invest $2,000 in a college investment fund. the initial investment grows by 6% per year. part a: write an equation for how much money will they have saved in x years. (2 points) Location of the American militias armsA) Concord B) Boston C) Salem PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS Solve -4=2/7p. solve for p