A new ride being built at an amusement park includes a vertical drop of 126.5 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If friction is neglected, what would be the speed of the roller coaster at the bottom of the drop?

17.60 m/s
24.90 m/s
49.79 m/s
70.42 m/s

Answers

Answer 1

Answer:

Speed at the bottom of the roller coaster = 49.79 m/s

Explanation:

A new ride being built at an amusement park includes a vertical drop of 126.5 meters. Starting from rest, the ride vertically drops that distance before the track curves forward.

We have to find the speed at the bottom.

Here the gravitational energy fully converts to kinetic energy, so we equate it.

Gravitational energy = [tex]m\times g\times h[/tex]

Kinetic energy = [tex]0.5 \times m\times v^{2}[/tex]

[tex]m\times g\times h[/tex] = [tex]0.5 \times m\times v^{2}[/tex]

[tex]9.8\times 126.5 = 0.5\times v^{2}[/tex]

[tex]v^{2}[/tex] = 2479.4

Velocity, v = 49.79 m/s


Related Questions

The psychologist known for latent learning and cognitive maps is _________. A. Robert Rescorla B. Edward Tolman C. William James D. B. F. Skinner

Answers

Answer:

B

Explanation:

B. Edward Tolman

Final answer:

The psychologist known for latent learning and cognitive maps is B. Edward Tolman

Explanation:

The psychologist known for latent learning and cognitive maps is Edward Tolman. Tolman's various experiments with rats demonstrated that organisms can learn even if they do not receive immediate reinforcement, suggesting a cognitive aspect to comprehensive learning.

In some specific experiments, hungry rats were placed in a maze with no reward for finding their way through it. As they explored the maze, they developed a cognitive map or a mental picture of the maze layout. This is known as latent learning, which is learning that occurs but is not observable in behavior until there is a reason to demonstrate it.

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Part of the earth that goes around the core and is solid

Answers

Answer:

mantle

Explanation:

Answer:

The mantle. Its so hot it basically lava.

Explanation:

ANSWER 5 AND 8!!!!!;$$4$;$;

Answers

Answer:

5 ) The mass, 6) with lubrication and using surfaces that are not rough

Explanation:

5) If two bodies are held regardless of their densities and can be combined by some chemical or physical process, the only physical property to be modified will be the mass of the resulting body.

8)

Friction depends on the contact between two surfaces and when a body has a relative motion with respect to a contact surface. In order to reduce friction the contact surface must be lubricated, also the friction depends on the coefficient of friction between surfaces and the normal force exerted by the surface parallel to the area of contact with the body. Mathematically it can be expressed with the following equation.

[tex]F_{f} = u*N\\where:\\u = friction coefficient\\N = normal force [Newtons]\\F_{f}= friction force [Newtons][/tex]

Two cars start a race with initial velocity 7ms-1 and 4ms-1 respectively.Their acceleration are 0.4ms-2 and 0.5ms-2 respectively.If the two cars finish the race at the same time,what is the distance of the track?

Answers

The distance of the track is 600 m

Explanation:

The two cars move by uniformly accelerated motion, so we the distance they cover after a time t is described by the following suvat equation

[tex]d=ut+\frac{1}{2}at^2[/tex]

where

u is the initial velocity

a is the acceleration

For car 1, we have

[tex]d_1 = u_1 t + \frac{1}{2}a_1 t^2[/tex]

where

[tex]u_1 = 7 m/s[/tex] is the initial velocity of car 1

[tex]a_1 = 0.4 m/s^2[/tex] is the acceleration of car 1

So the equation can be rewritten as

[tex]d_1 = 7t + 0.2t^2[/tex]

For car 2, we have

[tex]d_2 = u_2 t + \frac{1}{2}a_2 t^2[/tex]

where

[tex]u_2 = 4 m/s[/tex] is the initial velocity of car 2

[tex]a_2 = 0.5 m/s^2[/tex] is the acceleration of car 2

So the equation can be rewritten as

[tex]d_2= 5t + 0.25t^2[/tex]

The two cars finish the race at the same time: this means that they cover the same distance in the same time t, so we can write

[tex]d_1 = d_2\\7t + 0.2t^2=5t + 0.25t^2[/tex]

And solving for t, we find

[tex]2t - 0.05t^2= 0\\t(2-0.05t)=0[/tex]

Which gives two solutions:

t = 0 (initial instant)

t = 40 s

Therefore, the distance of the track is

[tex]d_1 = 7t +0.2t^2 = 7\cdot 40+0.2\cdot 40^2=600 m[/tex]

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A kettle heats 1.75 kg of water. The specific latent heat of vaporisation of water is 3.34 x 106 J/kg. How much energy would be needed to boil off the water? Write the answer out in full (i.e. not in standard form).

Answers

The amount of energy needed to boil off the water is 5,845,000 J

Explanation:

The amount of thermal energy needed to completely boil a certain amount of a liquid substance already at boiling temperature is given by

[tex]Q=m\lambda_v[/tex]

where

m is the amount of the substance

[tex]\lambda_v[/tex] is the specific latent heat of vaporization of the substance

In this problem, the substance is water, and its mass is

m = 1.75 kg

Its specific latent heat of vaporization is

[tex]\lambda_v = 3.34\cdot 10^6 J/kg[/tex]

Assuming that the water is already at boiling temperature, therefore, the thermal energy needed to boil off the water is

[tex]Q=(1.75)(3.34\cdot 10^6)=5,845,000 J[/tex]

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Which of the following lines (of latitude or longitude) would be represent by 180

South Pole
Equator
Prime meridian
North Pole
International day lind

Answers

Prime meridian (lines of longitude) would be represent by 180 degree

Answer: Option C

Explanation:

The longitudes are vertical lines, and they intersect with latitudes to form grids. Sunlight takes about 4 minutes to pass from one grid to another.  So, they are designated either West or East, besides their number in order to identify the location.

East longitudes cover 180 degrees and West ones cover west. So, totally there are 360 degree longitudes, having one standard one, called Prime Meridian. The Prime Meridian stays at the center of the earth, and hence termed as the center longitude and noble of all the verticals.

Final answer:

The 180-degree line of longitude represents the International Date Line, which is significant for timekeeping and not to be confused with the Prime Meridian or lines of latitude such as the Equator. The International Date Line does not strictly follow the 180-degree meridian due to political adjustments.

Explanation:

The line that is represented by 180° in terms of longitude is known as the International Date Line. This meridian is on the opposite side of the Earth from the Prime Meridian (0 degrees longitude) and serves a crucial role in timekeeping and calendar days. It is important not to confuse the International Date Line with lines of latitude such as the Equator, or with other notable longitudes like the Prime Meridian.

Lines of latitude are parallel to the Equator and include notable lines such as the Tropic of Cancer, the Tropic of Capricorn, Arctic Circle, and Antarctic Circle. In contrast, lines of longitude, or meridians, like the Prime Meridian and the International Date Line, span from the North Pole to the South Pole, converging at the poles. Latitude lines measure north-south positions, while longitude lines measure east-west positions on the Earth's surface.

The International Date Line roughly follows the 180-degree line of longitude but has been adjusted for political reasons to aid in keeping the same date within certain countries and islands. Crossing this line results in changes to the calendar date. Going westward across it leads to the day going forward, while traveling eastward causes the day to go backward by one.

Skateboard falls with force of weight pulling downwards with 53 Newton’s accelerating at a rate of 9.81m/s what’s the mass of the skateboard

Answers

Point of correction, acceleration is 9.81 m/s2

Answer:

5.4 Kg

Explanation:

We know that F=ma and making m the subject of the formula then

[tex]m=\frac {F}{a}[/tex] where m is the mass of the skateboard, F is the pulling force and a is the acceleration of the body

Substituting 53 N for F and 9.81 m/s2 for a then

[tex]m=\frac {53 N}{9.81 m/s2}=5.40265 Kg\approx 5.4 Kg[/tex]

Justin drives his unicycle 7.0 m/s northward. How long will it take him (in seconds) to travel 12 km?

Answers

Answer:

The time required is 28.5 [min]

Explanation:

We can find the time using the kinematic equation, but first, we must convert the distance to travel in meters.

x = distance = 12 [km] = 12000 [m]

velocity = 7 [m/s]

T[tex]t = \frac{x}{v} \\t=\frac{12000}{7} \\t=1714 [s] = 28.5 [min][/tex]

bubba approach billie and gives him a swift shove.timid little billie keeps his hands in his pocket during this interaction.subsequently, while bubba places a force upon billie,billie does not place a force upon bubba

Answers

Answer:

Bubba like Billie :)

Final answer:

Newton's Third Law of Motion dictates that a force exerted on Billie by Bubba results in an equal and opposite force exerted back on Bubba, regardless of Billie's actions.

Explanation:

The scenario described involves Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. Despite Billie keeping his hands in his pockets, when Bubba pushes Billie, there is a force exerted back on Bubba, even if Billie does not actively push back. This interaction is involuntary and happens naturally due to the laws of physics.

1. A projectile is launched into the air with an initial speed of vi = 40 m/s at a launch
angle of 20° above the horizontal. The projectile lands on the ground 5.0 seconds
later.
Neglecting air resistance, calculate the projectile's range and draw projectile
path

Answers

Answer:

range = x = 188 [m]

Explanation:

First we must find the velocity component on the horizontal axis or x-axis

[tex](v_{x})_{0} = 40*cos(20) \\(v_{x})_{0} = 37.58[m/s]\\[/tex]

Then using the kinematic expression that relates velocity with time, we can find the range of the projectile or the distance x.

[tex]x=(v_{x} )_{0}*t\\ x=37.58*5\\x=188[m][/tex]

The potential energy of a 40-kg cannon ball is 14000 J. How high was the cannon ball to have this much potential energy?

Answers

Pe = mgh.

14000 J = (40kg)(10m/s^2)(h)

h = 35 meters

Final answer:

The cannon ball was at a height of 35.71 meters to have the given potential energy.

Explanation:

To calculate the height of the cannonball, we can use the formula for gravitational potential energy: PE = mgh, where PE is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height.

Rearranging the formula, we have h = PE / (mg).

Plugging in the given values, we get h = 14000 J / (40 kg * 9.8 m/s^2) = 35.71 m.

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What is DC in electricity mean?

Answers

Answer:

Direct Current

Explanation:

The electricity only flows in one direction.

Carbon-12
Carbon-13
Carbon-14
Which BEST describes the difference between
carbon-12 and carbon-14?
A. Carbon-12 has one more neutron than carbon-14.
B. Carbon-12 has two less protons than carbon-14.
C. Carbon-14 has one less proton than carbon-12.
D. Carbon has two more neutrons than carbon-12.

Answers

Answer:

A.Carbon-13

B.Yes of course

C.No

D.Not sure

Answer:

B. Carbon-12 has two less protons than carbon-14.

OAmalOHopeO

ABO blood group is a classification of blood depending on the presence of 4 different antigens.
A.
True
B.
False

Answers

Answer:

A

Explanation:

i feel it is correct

in the sense that it dwpends on the presence of 4different antigens

A
I think, but I’m not sure.. I’m slow

A boy standing on the top of a cliff projects an object upwards with a velocity of 60m/s.
After 10s he releases anothe object from the cliff so that the 2 obects meet at a specific point. Find the distance from the top of the cliff to the point these objects meet with the correct  explanation .
 (Ans. 31.25m)
please i need help in this​

Answers

Explanation:

For projectile motion, use constant acceleration equation:

Δx = v₀ t + ½ at²

where Δx is the displacement,

v₀ is the initial velocity,

a is the acceleration,

and t is time.

For the first object:

Δx = 60 t + ½ (-10) t²

Δx = 60 t − 5 t²

For the second object:

Δx = 0 (t−10) + ½ (-10) (t−10)²

Δx = -5 (t−10)²

When they meet, they have the same displacement, so:

60 t − 5 t² = -5 (t−10)²

60 t − 5 t² = -5 (t² − 20t + 100)

60 t − 5 t² = -5 t² + 100 t − 500

60 t = 100 t − 500

40 t = 500

t = 12.5

Plug into either of the original equations to find the displacement.

Δx = -5 (t−10)²

Δx = -5 (12.5−10)²

Δx = -31.25

The distance from the top of the cliff to the point where the objects meet is 31.25 meters.

what is the maximum weight a boat can hold if a boat can displace 60.5ml?

a. 60.5 kg
b. 30.25 grams
c. 60.5 grams
d. 30.25 kg

Answers

Answer:

a. 60.5 kg

Explanation:

Given data,

The maximum water a boat can displace is, 60.5 ml

According to the principle of buoyancy, the weight of the floating body is equal to the weight of the liquid displaced.

Under standard temperature and pressure, a unit mass of water equals one liter.

If a boat can displace a maximum of 60.5 ml of water, then it can hold a mass of a maximum of 60.5 kg of mass.

There are two planets. Planet 1 is three times the mass of Planet 2. However, a person standing on the surface of Planet 2 experiences a force that is 12 times stronger than on Planet 1. How is this possible? Explain in terms of physics phenomena and terminology.

Answers

The radius of planet 1 is [tex]\sqrt{3}[/tex] the radius of planet 2.

Explanation:

The gravitational force experienced by a person standing on the surface planet is given by

[tex]F=\frac{GMm}{R^2}[/tex]

where

G is the gravitational constant

M is the mass of the planet

m is the mass of the person

R is the radius of the planet

In this problem, we know that:

The mass of planet 1 is 3 times the mass of planet 2, so [tex]M_1 = 3 M_2[/tex] (1), where [tex]M_1[/tex] is the mass of the first planet and [tex]M_2[/tex] the mass of the second planetThe force experienced by the person on the two planets is the same, [tex]F_1 = F_2[/tex]

Expliciting the two forces, we can write

[tex]F_1 = F_2\\\frac{GM_1 m}{R_1^2}=\frac{GM_2 m}{R_2^2}[/tex]

where [tex]R_1, R_2[/tex] are the radii of the two planets.

Substituting eq.(1) and re-arranging, we find:

[tex]\frac{G(3M_2) m}{R_1^2}=\frac{GM_2 m}{R_2^2}\\R_1^2 = 3R_2^2\\R_1 = \sqrt{3} R_2[/tex]

Which means that the radius of planet 1 is [tex]\sqrt{3}[/tex] the radius of planet 2.

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If a car goes from 20 miles per hour in 5 seconds, find its acceleration

Answers

Answer:

The acceleration of the car, is a = 4 m/s²

Explanation:

Given data,

The final velocity of the car, u = 0

The final velocity of the car, v = 20 miles/h

The time period of travel, t = 5 s

The acceleration of an object is defined as the rate of change of velocity.

From first equation of motion,

                            a = (v-u)/t

                               = (20 - 0)/5

                               = 4 m/s²

Hence, the acceleration of the car, is a = 4 m/s²

Hurricanes, thunderstorms, and blizzards are all meteorological disasters. What does "meteorological" mean?
AOcean-based incorrect answer
BCaused by meteors incorrect answer
CRelated to the weather incorrect answer
DUnpredictable

Answers

Meterological means related to the weather.

Option C

Explanation:

Meteorological phenomenon is defined as a process taking place on earth’s surface that is related to weather, its changes and modifications. Meteorology has nothing to do with meteorites. Both land and oceans contribute equally in meteorology.

Changes in atmosphere is basically responsible for the changes in weather. Thunderstorms, blizzards, hurricanes, tornados all are within this disaster. Earthquakes etc are actually not included in this meteorology as there’s nothing related to weather that can trigger an earthquake. So earthquakes are excluded.

1. An object with a mass of m is thrown straight up near the surface of the earth. While the object is going up, the net force on it is
A) Zero.
B) Less than mg. C) Equal to mg. D) More than mg.

Answers

Answer:

C: equal to mg

Explanation:

in free-fall, gravity is always the net force on an object

Final answer:

The net force on an object that is thrown upward is less than mg (the object's mass times gravity). This is because the force of gravity is working against the motion of the object, making the net upward force less than the downward force of gravity.

Explanation:

The question is related to Physics, more specifically the concepts of forces and gravity. When an object is thrown upward, it experiences a downward force due to gravity which is equal to its mass (m) times the acceleration due to gravity (g), written as mg. Nevertheless, there is also an upward force exerted on the object, which is why it can ascend.

In the scenario described in the question, where an object is thrown straight up, the net force on an object while the object is going up is less than mg. This is because the force of gravity (mg) is effectively acting downwards, while a smaller net force is acting upwards, making the net force on the object less than mg during ascent.

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How does an atom of sulfur-36 become a sulfide ion with a -2 charge?

O

A. The atom gains 2 protons to have a total of 38.

O

B. The atom loses 2 protons to have a total of 14.

O

O

O

C. The atom gains 2 electrons to have a total of 18

O

D. The atom loses 2 electrons to have a total of 14.

Answers

Answer:

C. The atom gains 2 electrons to have a total of 18.

Explanation:

Step by step explanation:

A neutral Sulfur-36 atom has 16 electrons and the 16 protons (as the Sulfur atom is neutral, it should have same number of electrons as that of protons). The number of neutrons in Sulfur-36 is equal to total mass of sulfur (which is 36) minus the number of protons (which is 16), resulting in 20 (36-16=20). If sulfur-36 becomes  -2 charged ion, it needs to gain a negatively charged particles (i.e. electrons). An electron has a negative charge of -1. So sulfur-36 atom needs to gain 2 electrons to become -2 charged ion. Therefore the correct answer choice is C.

A 2498 kg car is moving at 17.1 m/s slams on its brakes and slows to 2.6 m/s. What is the magnitude (absolute value) of the impulse the car experiences during this time?

Answers

Answer:

J=36221 Kg.m/s

Explanation:

Impulse-Momentum Theorem

These two magnitudes are related in the following way. Suppose an object is moving at a certain speed [tex]v_1[/tex] and changes it to [tex]v_2[/tex]. The impulse is numerically equivalent to the change of linear momentum. Let's recall the momentum is given by

[tex]p=mv[/tex]

The initial and final momentums are, respectively

[tex]p_1=mv_1,\ p_2=mv_2[/tex]

The change of momentum is

[tex]\Delta p=p_2-p_1=m(v_2-v_1)[/tex]

It is numerically equal to the Impulse J

[tex]J=\Delta p[/tex]

[tex]J=m(v_2-v_1)[/tex]

We are given

[tex]m=2498\ kg,\ v_1=17.1\ m/s,\ v_2=2.6\ m/s[/tex]

The impulse the car experiences during that time is

[tex]J=2498(2.6-17.1)=2498(-14.5)[/tex]

J=-36221 Kg.m/s

The magnitude of J is

J=36221 Kg.m/s

A weight of 20.0 N hangs motionless from a spring, with a spring constant of 65.0 N/m. How far is the spring stretched from its original length?

0.130 m
0.308 m
0.769 m
3.25 m

Answers

Answer:

0.308 m

Explanation:

Force = spring constant * change in length

F = k * Δx

F = 20 N

k = 65 N/m

Δx = ? m

20 = 65 * Δx

20/65 = Δx

Δx = 0.308 m

The spring stretched from its original length will be "0.308 m".

According to the question,

Spring constant, k = 65 N/mForce, F = 20 N

The force will be:

→  [tex]Force =Spring \ constant\times Change \ in \ length[/tex]

or,

→ [tex]F = k\times \Delta x[/tex]

then,

→ [tex]\Delta x = \frac{F}{k}[/tex]

By putting the values,

        [tex]= \frac{20}{65}[/tex]

        [tex]= 0.308 \ m[/tex]

Thus the above answer is right.

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So I answered this question and I got it wrong. The correct answer is in red. Can someone explain me why the correct answer is 140s/the temperature starts to rise? I don't understand it. ​

Answers

i) The lowest temperature recorded is [tex]12^{\circ}C[/tex]

ii) All the liquid has evaporated after 140 seconds

Explanation:

i)

In this part of the problem, we have to find the lowest temperature recorded as the liquid evaporates.

In order to do that, we have to look at the graph, where we have:

- The time (in seconds) represented on the x-axis

- The temperature (in Celsius degrees) represented on the y-axis

The lowest temperature recorded corresponds to the minimum value of the variable on the y-axis. By looking at the graph, we see that the temperature starts from [tex]20^{\circ}[/tex] at time [tex]t=0[/tex], then it reaches a minimum of approximately [tex]12^{\circ}C[/tex] at about [tex]t=140 s[/tex], then it increases again. Therefore, the lowest temperature recorded is [tex]12^{\circ}C[/tex].

ii)

In this part, we have to determine how long it takes for all the liquid to evaporate.

The process of evaporation of a liquid takes place when the molecules located on the surface of the liquid, which have more kinetic energy than the other molecules, "escape" the liquid. When these molecules escape the liquid, they remove heat from the liquid (because they carry away energy): therefore, the temperature (which is a measure of the kinetic energy) at the surface of the liquid decreases. This effect is known as cooling effect of evaporation.

When this decrease in temperature stops, it means that the liquid has completely evaporated. From the graph, we see that this occurs when the time is approximately about 140 seconds.

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How is force defined?​

Answers

Answer:

In physics, a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull.

A 2 kg book sits in the same room as a 5 kg vase. If the force of gravity between them is 7.41 x 10^-11 N, how far apart are they

Answers

The distance between the two objects is 3.0 m

Explanation:

The magnitude of the gravitational force between two objects is given by the following equation:

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where :

[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant

[tex]m_1,m_2[/tex] are the masses of the two objects

r is the separation between the objects

In this problem, we have:

[tex]m_1 = 2 kg[/tex] is the mass of the book

[tex]m_2 = 5 kg[/tex] is the mass of the vase

[tex]F=7.41\cdot 10^{-11}N[/tex] is the force between the two objects

Re-arranging the equation and solving for r, we find the distance between the two objects:

[tex]r=\sqr{\frac{Gm_1 m_2}{F}}=\sqrt{\frac{(6.67\cdot 10^{-11})(2)(5)}{7.41\cdot 10^{-11}}}=3.0 m[/tex]

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Answer:

3.00 m

Explanation:

What do human beings get from forest?​

Answers

Answer:

Oxygen. When trees "breathe" they release oxygen and take in the carbon dioxide. On the other hand, when humans breathe we take in that oxygen and release carbon dioxide. In this way, we have a relationship that is mutually beneficial.

We get trees, which produces oxygen. Which is the air we need to breathe.
Forests provide greenery, which is essential to a healthy environment on earth.
Forests provide habitat for all animals in ecosystems and biomes.
Forests are used to create products such as paper and other materials.
Forests are also apart of nature, which as humans we develop connection to nature by spending time outside and caring for the earth.
Please vote my answer brainliest, thanks!

How does direct current differ from alternating current?

Answers

Answer:

a direct current goes in one direction at all times whereas an alternating current goes back and forth in a circuit

In your own words, and using scientific vocabulary, answer the following question.

What is a wave?

Answers

Definition - Wave:

The wave is a type of vibration (disorder) that moves in space and matter. Wave motions pass energy from one point to other.

Explanation:

A wave is a disorder or change that gradually transfers energy from one point to another in a medium and can take the form of a flexible distortion or change in pressure, electric or magnetic current, electric potentials or temperature.

A medium passing through a wave may experience local vibrations when it passes through a wave, but the particle in the medium does not move with the waves. The disorder can take many forms, from a limited wide pulse to an infinitely long sinusoidal wave.

forces of 3.0 N (west) and 4.0 N (33° S of E) act on an object. What is the net force of the object? Calculate both magnitude and direction

Answers

The net force is 2.2 N at 80.9 degrees south of east

Explanation:

In order to find the net force, we have to resolve each force along the x-y direction, and then add the components in each direction.

Taking east as positive x-direction and north as positive y-direction, we have:

- First force:

[tex]F_{1x} = -3.0 N\\F_{1y} = 0[/tex]

- Second force:

[tex]F_{2x} = (4.0)(cos (-33^{\circ})=3.35 N\\F_{2y} = (4.0)(sin (-33^{\circ})=-2.18 N[/tex]

Therefore, the components of the net force are

[tex]F_x = F_{1x}+F_{2x}=-3.0+3.35=+0.35 N\\F_y = F_{1y}+F_{2y}=0+(-2.18)=-2.18 N[/tex]

And so, the magnitude of the net force is

[tex]F=\sqrt{F_x^2+F_y^2}=\sqrt{(0.35)^2+(-2.18)^2}=2.2 N[/tex]

And the direction is

[tex]\theta=tan^{-1}(\frac{F_y}{F_x})=tan^{-1}(\frac{-2.18}{0.35})=-80.9^{\circ}[/tex]

which means 80.9 degrees south of east.

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Other Questions
A group of medical treatments, practices, and products that can be used in conjunction with conventional Western medicine is called___________. Consider atoms of the following elements. Assume that the atoms are in the ground state.(A) S(B) Ca(C) Ga(D) Sb(E) Br2. The atom that contains only one electron in the highest occupied energy sublevel The instantaneous and automatic fear response we experience when unexpectedly stumbling upon a snake illustrates the importance of the On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded. The solutions to the inequality y > 3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, 2) (2, 1) Suppose you throw a rock off a cliff on Earth with an initial horizontal velocity of 3 m/s. Assuming minimal drag and no wind, the horizontal velocity of the rock A.increases as it falls. B.decreases as it falls. C.is 0 m/s just before it lands. D.remains constant throughout the fall. Individuals have little effect on the overall health of the economy A store receives a shipment of pens and pencils. Each box contains 75 items There are 23 boxes of pencils and 18 boxes of pens. How many pens and pencils did the store receive? PLZ ANSWERSCRENSHOT When Marriott decided to improve the quality of service it offered its customers, it asked special corporate guests to comment on the good and bad issues of their stay and also to tell what the competition is doing that is better than Marriott. The Marriott acted accordingly. In other words, it used ____. Todd witnessed an automobile accident and heard one of the bystanders casually mention that the driver was probably intoxicated. Even though the driver had not been drinking, or ever crossed the center line, Tyler tells the police officer that the car was swerving all over the road. Tylers faulty recall illustratesa) proactive interferenceb) retroactive interferencec) the misinformation effectd) context cues ___________ is the first component of an operational customer relationship management system that supports a broad range of business processes, such as tracking and managing customer history and preferences, account and contact management, and order processing and tracking.a. Enterprise marketing managementb. Sales force automationc. Data warehousingd. Execution managemente. Customer service and support A hypothetical planet has a mass of 1.66 times that of Earth, but the same radius. What is gravitiy near its surface? In triangle abc, cos A= -0.6. Find A and Tan A Explain how to estimate the quotient using compatible numbers. 27 2/3 divided by 3 9/10. Write a Sentence or two. Saccharomyces cerevisiae is a diploid yeast species that can reproduce either sexually or asexually. An experiment was performed to induce mitotically dividing S. cerevisiae cells in G2 to undergo meiosis. Which of the following best describes the steps these cells will follow to form gametes? A. The first division will result in crossing over between homologous chromosomes, and the second division will reduce the original number of chromosomes by half in the daughter cells. B. The first division will reduce the number of chromosomes by half for each daughter cell, and the second division will result in each daughter cell having one-fourth of the original number of chromosomes. C. The first division will move single chromatids to each daughter cell, and the second division will double the number of chromosomes in each daughter cell. D. The first division will reduce the number of chromosomes by half for each daughter cell, and the second division will move single chromatids to each daughter cell. Lionel thinks he wants to be a fireman, but he is not sure. He is working with his high school career counselor to get information about careers and college majors before he makes a decision. According to Marcia, Lionel is in which stage of identity development?A. DiffusionB. AchievementC. MoratoriumD. Foreclosure Let n be the smallest positive integer that is a multiple of 75 and has exactly 75 positive integral divisors, including itself and 1. Find n/75. A cylinder with a piston contains 0.200 mol of oxygen at 2.00105 Pa and 360 K . The oxygen may be treated as an ideal gas. The gas first expands isobarically to twice its original volume. It is then compressed isothermally back to its original volume, and finally it is cooled isochorically to its original pressure.Part AFind the work done by the gas during the initial expansion.W initial = JPart BFind the heat added to the gas during the initial expansion.Q initial = JPart CFind internal-energy change of the gas during the initial expansion.U initial = JPart DFind the work done during the final cooling;W final = J The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 64 cars of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. Construct a 97.5% confidence interval for the mean gas mileage for this car model. What is the solution to the following system of equations? x 4y = 6 2x + 2y = 12 (0, 10) (10, 0) (6, 0) (0, 6) Steam Workshop Downloader