A hill that has a 15.5% grade is one that rises 15.5 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal

Answers

Answer 1

The angle of incline of the hill above the horizontal is 8.81°.

Since the hill has a 15.5% grade is one that rises 15.5 m vertically for every 100.0 m of distance in the horizontal direction.

Tangent of the angle of the incline of the hill,

The tangent of the angle of the incline of the hill, Ф is

tanФ = vertical rise/horizontal distance = grade of hill

Now, the vertical rise = 15.5 m and the horizontal distance = 100.0 m

So, substituting the values of the variables into the equation, we have

tanФ = vertical rise/horizontal run

tanФ = 15.5 m/100.0 m

tanФ = 0.155

Angle of incline of the hill

Taking inverse tan of both sides, we have

Ф = tan⁻¹(0.155)

Ф = 8.81°

So, the angle of incline of the hill above the horizontal is 8.81°.

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Related Questions


What is the term that is used to describe the
material through which a wave travels?

a. Matter

b. Medium

C. Substance

d. None of the above

Answers

B. A wave travels through medium. Hope this helped!

The force of fraction between a 10kg mass and a leveled ground is found to be 6N.what applied force is required to accelerate the mass at 1.2 meter per second square?

Answers

The net force acting on the mass parallel to the surface is

∑ F[horizontal] = F[applied] - F[friction] = ma

where m = 10 kg. Given that F[friction] = 6 N and a = 1.2 m/s², we have

F[applied] - 6 N = (10 kg) (1.2 m/s²)

F[applied] = 12 N + 6 N

F[applied] = 18 N

a cart starts with 300 j of pe when at 10m what is the mass of the object

Answers

Explanation:

Mass=volume ×density

10×300=3000m/j

Part of the electromagnetic spectrum is visible light. Which color is at the opposite end from red on the visible spectrum?.

Answers

Light at the lower end of the visible spectrum, having a longer wavelength, about 740 nm, is seen as red; light in the middle of the spectrum is seen as green; and light at the upper end of the spectrum, with a wavelength of about 380 nm, is seen as violet

Answer:

violet

Explanation:fart

Consider an object released from rest such that it falls freely towards the ground. What would be the graphical relationship between the speed of the object as a function of time

Answers

Given what we know, we can confirm that the graph for the speed of the object should reflect an increasing speed over time relationship.

How do we know this?

This has to do with how speed is calculated during a fall. Speed increases with acceleration. In the case of a free fall, the object will accelerate at roughly  [tex]9.8 m/s^{2}[/tex] which is the acceleration caused by gravity. The graph should reflect these values.

Therefore, we can confirm that the graph should depict an increasing value for speed in relationship to the time that has elapsed, and the curve should indicate an acceleration of  [tex]9.8 m/s^{2}[/tex].

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How is power defined? Question 4 options: the quantity of work accomplished the direction of the work the total distance an object is moved the rate at which work is accomplished.

Answers

Power can be defined as the rate at which work is accomplished.

Option D is the correct answer.

Power

The work done by an object in a given time interval is called the power of that object.

Suppose an external force F is applied to any object for the time interval T seconds. Due to this external force, the object will perform some amount of work for the time T seconds. This work W done by the object for the time interval T seconds is called the power of that object.

Power can be defined in mathematical term which is given below.

[tex]P = \dfrac {W}{T} \;\rm Watts[/tex]

Thus the power can also be defined as the work done by the object per unit time interval.

Hence we can conclude that option D is the correct answer.

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Will oil or vinegar flow faster?

Answers

Answer:

Vinegar

...................

All waves must travel up and down.


True


False

Answers

Answer:

True all waves that go up must come down

I feel like the follow the rule of gravity:everything that goes up must come d5

A skater pushes off a wall and skates backward for a few meters before stopping.
Which statement best describes an action-reaction force pair in this situation?

F The wall pushes on the skater when the skater pushes on the wall.

G The wheels slow down, and the skater stops.

H The skater exerts a force on the wall, and the wheels exert a force on the floor and begin
to turn

J The friction of the floor decreases when the wheels roll on the floor.
on

Answers

Answer:

F

Explanation:

Newton's Third Law (Law of Action-Reaction) states:

Every action has an equal and opposite reaction and it occurs between two objects

In this scenario, the action would be the skater pushing off of the wall, therefore the reaction would be the wall pushing off of the skater since the two objects that are interacting are the wall and the skater.

Alice kicks a 0. 25 kg soccer ball with 0. 5 N of force. What force does the ball exert on Alice’s foot as she kicks it? N.

Answers

The ball exerts a force of 5 N on Alice's foot because every action has an equal and opposite reaction.

What does Newton's third law of motion state?

The third law of motion states that every action has an equal and opposite reaction. Force is the influence that can accelerate the object.

In the question, Alice kicks the ball with a force of 5 N, so, the ball will also exert an equal force but in opposite direction.

Therefore, the ball exerts a force of 5 N on Alice's foot.

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Describe the energy transformations that occur in a circuit that includes a battery, wire, and an incandescent light bulb​

Answers

Answer:

When the bulb receives this electrical energy, then it converts it into light and heat energy. At first, the energy transformation takes place in the battery and then the bulb. Hence, the transformation of energy in the given situation can be shown as: Chemical Energy → Electrical Energy → Light Energy + Heat Energy.

The Ejection Seat at Lake Biwa Amusement Park in Japan (Figure 1) is an inverse bungee system. A seat with passengers of a total mass of 160 kg is connected to elastic cables on the sides. The seat is pulled down 12.0 m, stretching the cables. When released, the stretched cables launch the passengers upward above the towers to a height of about 30.0 m above their starting position at the ground. Assume that the cables are vertical.
Determine the spring constant of the cable.

Answers

This question involves the concept of the law of conservation of energy.

The spring constant of the cable is "915.6 N/m".

LAW OF CONSERVATION OF ENERGY:

According to the law of conservation of energy, energy can neither be created nor be destroyed. It can only change from one form to another form. In this scenario, the elastic potential energy stored by the cable will completely be transformed into the gravitational potential energy at the highest point.

[tex]Loss\ of\ Elastic\ Potential\ Energy=Gain\ in\ Gravitational\ Potential\ Energy[/tex]

[tex]\frac{1}{2}kx^2=mgh\\\\k= \frac{2mgh}{x^2}[/tex]

where,

k = spring constant = ?m = mass = 160 kgg = acceleration due to gravity = 9.81 m/s²h = total height covered after launch = 12 m + 30 m = 42 mx = stretched length = 12 m

Therefore,

[tex]k=\frac{2(160\ kg)(9.81\ m/s^2)(42\ m)}{(12\ m)^2}[/tex]

k = 915.6 N/m

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A gazelle is running in a straight line with a constant velocity of 1340 m/min. A cheetah can accelerate from 0 m/min to 1820 m/min in 3 seconds. What is the average acceleration of the gazelle? What is the average acceleration of the cheetah?

Answers

The gazelle has zero average acceleration because it's moving at a constant speed. Constant speed means no change in speed means zero acceleration.

The cheetah, on the other hand, changes its speed from 0 m/min to 1820 m/min in a matter of 3 seconds, so its average acceleration is

a[ave] = (1820 m/min - 0 m/min) / (3 s)

… = (1820 m/min) / (3/60 min)

… = 36,400 m/min²

… = (36,400 m) / (60 s)²

… = 91/9 m/s² ≈ 10.1 m/s²

A particular engine takes in 10,000 J of heat, does 2,000 J of work, and as it runs discharges heat. Its own energy is the same when it
has finished as when it started. How much heat did it discharge if this is a closed system?
10,000 J
12,000 J
2,000 J
8,000 J

Answers

Answer:

8000 J

Explanation:

There is a Quizlet made by a teacher with this answer.

you have an open tube that is 1.7m long what is the fundemental frequency and wavelength of the tube

Answers

The 1.2 year is brown brown pink blue brown brown blue blue pink

A race car accelerates at a constant rate from 20 m/s to 60 m/s in a time of 2 seconds. What is the car’s acceleration?

Answers

[tex]\huge\fbox{Answer ☘}[/tex]

Given ,

initial velocity , u = 20 m/s

final velocity , v = 60 m/s

time taken = 2 seconds

Now ,

[tex]\bold{acceleration = \frac{v - u}{t} } \\ \\ = > \bold{ \frac{60 - 20}{2} } \\ \\ = > \bold{\frac{40}{2} } \\ \\ \bold{ => 20 \: ms {}^{ - 2}}[/tex]

hope helpful~

distance traveled divided by average speed is the formula for what

Answers

Answer:

Time

Explanation:

As

   Speed = distaance / time

        S = d/t

     t  =  d/s

answer :time

Explain:
M/m/s meter by meter
=s

An incident ray comes in parallel to the principle axis of a concave
mirror. Is it reflected:
w) back along the incident ray
x) at 30 degrees to incident ray
y) through the focal point
z) through the center of curvature

Answers

Answer:

Y -- THROUGH THE FOCAL POINT


The atomic number is equivalent to an atom's

Answers

Answer:

Amount of Protons

Explanation:

If this is what you are asking for, the atomic number is equal to the amount of protons, while the atomic mass is equal to the amount of protons *plus* neutrons.

Determine the value of the information in scientific notation. The moon is approximately 3. 63 × 108 meters from Earth. What is 3. 63 × 108 in standard notation?.

Answers

Answer:

d

Explanation:

Answer:

363,000,000

Explanation:

Got it right on the assignment EDGE 2022.

I am giving out the answers to the 2.01 Waves quiz
1. The disturbance that occurs as longitudinal waves travel through a medium can be described as a series of: oscillations and refractions
2. We can determine the velocity of a wave when given the frequency and the____: wavelength
3. As a wave moves through a medium, particles are displaced and__: return to their normal position after the wave passes
4. To determine the amplitude of a wave, you would need to know the: the distance from the crest of one wave to the crest of the next wave
5. To determine a waves' frequency, you must know the: number of oscillations in a given period of time
6. In order to determine the wavelength, you must know the distance from the: the crest of one wave to the crest of the next wave
7. As a transverse wave travels through a medium, it displaces the particles: perpendicular to the motion of the wave
8. As a longitudinal wave travels through a medium, it displaces the particles: parallel to the direction which the wave travels
9. One property that makes electromagnetic waves differ from other types of waves is that they can: travel in a vacuum
10. If asked to describe a wave, you could say waves are the: continuous transmission of energy from one location to the next

Answers

Answer:

This Is Very Helpful for people doing this lesson! :)

Explanation:

But. . . "The Ask a Question" Section Is For asking a question it's not really for giving out Answers.

What type of material is thought to explain the larger size of the outer planets relative to the inner planets

Answers

The material which is believed to explain the larger size of the outer planet in relation to the inner planet is gas while the inner is made of rock

Research on the solar system reveal to us that it is temperature of the the solar system that perfectly explain the materials both the outer and inner planets are made up of. The outer part is highly gaseous while the inner part is made of rocks

What is outer planet?

It refers to planet whose orbit lies outside the asteroid belt. Examples include Jupiter, Saturn, Uranus, or Neptune.

What is inner planet?

This simply means a planet whose orbit lies within the asteroid belt. They are planets such as Mercury, Venus, Earth, or Mars.

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An 818 kg drag race car accelerates from rest to 109 km/h in 0. 926 s. What change in momentum does the force produce? answer in units of kg · m/s.

Answers

Answer:109km/h = 30.28

let change in momentum be cip

cip = m ( vf - vi )

cip= 818 ( 30.28 - 0)

cip = 24769.04 kg . m/s

                 

Explanation:


A 400 kg moving object has a kinetic energy of 15,000 J. What is the speed of the object?
A) 5.6
B) 8.7
C) 7.9

Answers

Answer: B, 8.7m/s

Explantion:
V² =2kE/m
v² = 30,000 J/ 400kg
V² = 75
√v² =√ 75
V= 8.7 m/s


A speeding train slams on the brakes when it sees a car is on the tracks in front of it. It takes the train 25 seconds for it to go from an initial speed of 75 m/s to come to a complete stop. What is the train’s acceleration?

Answers

Explanation:

Given:

Initial Velocity is 75 m/s

Fianl Velocity: 0 m/s

Time 25 seconds.

Acclereation?

Use kinematic equation,

[tex]v _{f} = v _{i} + at[/tex]

[tex]0 = 75 \frac{m}{s} + a(3s)[/tex]

[tex]{ - 75} \frac{m}{s} = 3s(a)[/tex]

[tex] - {25} \frac{m}{ {s}^{2} } = a[/tex]

So the acclereation is -25 m/s^2. Since the Velocity is positive and acclereation is negative, the train will be slowing down.

Examine the image shown here. Bike helmets like this one have padding made of foam under the hard exterior of the plastic. The foam is what is in contact with the head of the wearer. These are safer in an accident than a non-foam padded helmet for which reason? A) The foam increases the inertia. B) The foam increases the momentum. C) The foam increases the time of impact. D) The foam decreases the time of impact.

Answers

The foam decreases the time of impact.

What is Impulse?

The Impulse applied to an object causes a change in the momentum of the object. Impulse is the product of force and time of impact.

J = Ft

where;

J is the impulseF is the applied forcet is the time of impact

The increase in the time of impact increases the impulse experienced by the object, and a decrease in the time of impact causes a decrease in the impulse experienced by the object.

Thus, we can conclude that the foam decreases the time of impact because it cushions the effect of impact.

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A force of 15 N is applied to a spring, causing it to stretch 0. 3 m. What is the spring constant for this particular spring? N/m.

Answers

Get tyy guy hhh guy ggh fggg

If the amplitude of a wave increases by a factor of 4, how is the intensity changed? it increases by a factor of 4 it increases by a factor of 16 it decreases by a factor of 4 it decreases by a factor of 16.

Answers

If the amplitude of the wave increases by 4 times, the intensity will increase by 16 times. Option B is correct.

What is the relation between the intensity and the Amplitude?

The intensity is directly proportional to the square of the amplitude of the wave.

[tex]I \propto A^2[/tex]

[tex]I = k \times A^2[/tex]

Where,

[tex]I[/tex]- Intensity

[tex]A[/tex] - Amplitude

[tex]k[/tex] - constant

Thus, if the amplitude of the wave increased by 4 times,

[tex]I = k \times(4A)^2\\\\I = k \times 16A^2[/tex]

Therefore, if the amplitude of the wave increases by 4 times, the intensity will increase by 16 times.

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Answer:

its b

Explanation:

Which of the following does not change as a skater goes down a ramp?
-Thermal Energy
-Gravitational potential energy
-Total Energy
-Kinetic Energy

Answers

Answer:

total energy

Explanation:

law of conservation of energy

Help pls quick!!

Which statement about the force of an electromagnet's magnetic field is correct?

A. Increasing the number of coils increases the force, and increasing the amount of charge decreases the
force.

B. Increasing the speed of the charge increases the force, and increasing the length of the wire decreases the
force.

C. Increasing the amount of charge and decreasing the speed of the charge both increase the force.

D. Increasing the amount of charge and increasing the length of the wire both increase the force.

Pls help quick whoever gets it correct I will mark brainliest (:

Answers

Answer:

C

Explanation:

I hade the same assignment and the answer was C

Increasing the amount of charge and decreasing the speed of the charge both increase the force.

What is magnetic field?A magnetic field is a vector field that describe the magnetic influence on any object.The object moving in a magnetic field observes the force perpendicular to the it's own motion.How magnetic force effects the charges?The magnetic field generates magnetic force.This force depends on the amount charges on which it is applying and the speed of  that charges.As we increases the amount the charge , the magnetic field now has more charges to interact with so the magnetic force will increase.As we decreases the speed of the charges than there is more time  for magnetic field to interact with the charges.

Hence , increasing the amount of charge and decreasing the speed of the charge both will increase the force.

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