50 POINTS! A Dancer leaps across the stage in a beautiful grand jete. The ballerina leaps at an angle of 25° and is able to jump a horizontal distance of 1.5m. What is her initial x and initial y velocity? (hint: find Vi first, then Vxi and Vyi)

50 POINTS! A Dancer Leaps Across The Stage In A Beautiful Grand Jete. The Ballerina Leaps At An Angle

Answers

Answer 1

The horizontal range formula tells us

[tex]x=\dfrac{{v_i}^2\sin2\theta}g[/tex]

where [tex]v_i[/tex] is the dancer's initial speed, [tex]\theta[/tex] is her launch angle, and [tex]g[/tex] is the acceleration due to gravity. So

[tex]1.5\,\mathrm m=\dfrac{{v_i}^2\sin50^\circ}{9.8\frac{\rm m}{\mathrm s^2}}\implies v_i=4.4\dfrac{\rm m}{\rm s}[/tex]

Her initial velocity as a vector is

[tex]\vec v_i=v_{xi}\,\vec\imath+v_{yi}\,\vec\jmath[/tex]

where

[tex]v_{xi}=v_i\cos25^\circ=4.0\dfrac{\rm m}{\rm s}[/tex]

[tex]v_{yi}=v_i\sin25^\circ=1.9\dfrac{\rm m}{\rm s}[/tex]

Answer 2

Answer: 1.9m/s.

Explanation: 1.9m/s.


Related Questions

Block A has a mass of 14 kg, block B has a mass of 12 kg, and angle alpha equals 19°. What is the tension in the wire that connects blocks A and B?
44 N

38 N

33 N

41 N

Answers

Answeroption B38 NExplanation

Given that,

mass of block A = 14kg

mass of block B = 12kg

angle alpha equals = 19°

Formula to find tension in the wire connecting blocks A and B

Tension in wire connecting weight of object A and B is due to weight of block B

             = mgsin19

due to slope we will take horizontal components of weight, mg

             = 12(9.81)sin(19)

             = 38.3

           

What is the motional kinetic energy of a 25kg
object moving at a velocity of 10m/s?

Answers

[tex]ke = \frac{1}{2} \times mv {}^{2} [/tex]

kinetic energy : ke

m : mass ( 25kg )

v : velocity ( 10 m/s )

[tex] \frac{1}{2} \times 25 \times {10}^{2} [/tex]

= 1250 (J )

My answer is 1250J. By doing 1/2 × 25 × 10²

Which device can be used to increase voltage from a source of direct current?
A. Generator
B. Electroscope
C. Induction coil
D. Mass spectrometer

Answers

Induction coil

hope this helps :)

Two stellar science students are pushing a box, one on each side of the box. Kenny is pushing the box with a force of 10N to the left. Michael is pushing the box with the force of 15N to the right. Draw a force diagram. What is the net force? Is the force balanced or unbalanced?

Answers

Answer:

Unbalanced, 5N to the right.

Explanation:

Please help-you need to fill in the blanks
a) 2 trains are moving towards each other along a straight line. To find the speed of one train relative to the other train you need to ............. their speeds.
b) 2 trains are moving in the same direction along a straight line. To find the speed of one train relative to the other train, you need to ............ their speeds.

Answers

Answer:

1 average 2 subtract.

Explanation:

a). add

b). subtract.

What is the force, in units of milliNewtons (mN), exerted on a wire that carries a current of 4.7 A when there is 3.5 cm of the wire in the magnetic field of strength 0.97 T and the wire is perpendicular to the direction of the magnetic field?

Answers

Answer:

160 mN

Explanation:

The force exerted on the wire is given by

[tex]F=BIL sin \theta[/tex]

where

B is the magnetic field strength

I is the current in the wire

L is the length of the piece of wire

[tex]\theta[/tex] is the angle between the direction of the field and the wire

In this problem:

B = 0.97 T

I = 4.7 A

L = 3.5 cm = 0.035 m

[tex]\theta=90^{\circ}[/tex]

Therefore, the force exerted on the wire is

[tex]F=(0.97 T)(4.7 A)(0.035 m)(sin 90^{\circ})=0.160 N=160 mN[/tex]

A wave travels at a constant speed. How does the frequency change if the wavelength is reduced by a factor of 4

Answers

The product of (wavelength) x (frequency) is always the same number ... the wave's speed.  

So if the wavelength is somehow reduced to  1/4  its original length, the frequency is immediately multiplied by 4 .  That's the only way their product can remain the same.

The frequency increases by a factor of four when the wavelength is lowered by a factor of four.

What is frequency?

Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.

Frequency is given by the formula as,

[tex]\rm v = \lambda \times f[/tex]

If a wave travels at a constant speed the e frequency is inversely proportional to the wavelength.

if the wavelength is reduced by a factor of 4 then the frequency increases by a factor of 4.

Hence, the frequency increases by a factor of 4.

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How are the current and resistance related when the voltage of a circuit is constant

Answers

Final answer:

At a constant voltage, current and resistance are inversely related as per Ohm's Law, with current decreasing as resistance increases, and vice versa.

Explanation:

When the voltage in a circuit is held constant, the current flowing through the circuit is inversely proportional to the resistance. This relationship is encapsulated by Ohm's Law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R), mathematically represented as [tex]I = \frac{V}{R}[/tex].

As such, if the resistance in the circuit increases while the voltage remains unchanged, the current will decrease. Conversely, if the resistance decreases, the current will increase.

The resistance is influenced by factors such as the material of the conductor and its temperature. At a constant temperature, the resistance remains steady regardless of the changes in voltage or current.

Therefore, when considering Ohm's Law in a practical scenario, such as household electrical circuits, resistance plays a critical role in determining the current that flows through an appliance.

Which part of the wave has the highest frequency?

Answers

Answer:

The last part on the right side of the diagram

Explanation:

Im on plato and just got it right :)

The last part on the right end of the given wave has the highest frequency.

What are frequency and wavelength?

The frequency can be defined as the number of oscillations of a wave in 1 second. The wavelength can be described as the distance between the two crests or troughs on a wave that is separated by a distance.

For periodic waves, media in which the wave speed is independent of frequency, therefore the frequency has an inverse relationship to the wavelength.

[tex]{\displaystyle f={\frac {v}{\lambda }}[/tex]

In electromagnetic waves in vacuum, then v = c, where c is the speed of light:

[tex]{\displaystyle f={\frac {c}{\lambda }}[/tex]

When monochromatic waves propagate from one medium to another, their frequency will remain the same.

Frequency can be defined as the number of occurrences of a repeating event per unit of time. Frequency can be measured in hertz (Hz) which is generally equal to one event per second.

Therefore, the part at the very right of the wave has the highest frequency.

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Which of the following best describes the frequency of a wave?

Answers

Since you didn't add any answer choices I will explain the frequency of a wave the best I can.

The frequency of a wave is the distance between one crest and another. Frequency can affect the energy of a wave. If the crests in a wave are close together, than the frequency of said wave is high as well as the energy. If they are far apart, than the frequency will be low and the energy will also be low.

Hope this helped.

Wave frequency is the number of waves that pass a fixed point in a given amount of time.

What is frequency?

The number of vibrations counted per second is called frequency. A wave is a group of vibrations that are referred to as energy. The bottom node is known as the crest, and the top node is known as the trough.

The frequency of an alternating current is the number of full cycles per second. The hertz, also known as Hz, is the accepted unit of frequency. The frequency of a current is 1 Hz if one cycle is completed per second; 60 cycles per second equals 60 Hz.

A often utilized factor in relation to the wave is frequency. Let's say we need to determine the wave's frequency and the wave moves at a certain pace. The wavelength and velocity of the light wave are also used to calculate the number of cycles the wave has completed in one second. The frequency term is frequently taken into account in relation to the sound wave.

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When white light passes through a prism, a red light is least changed in direction? True or false

Answers

True because the picture below proves this....

* from which red color is least deviated and violet most.

* Hopefully this helps:) Mark me the brainliest:) !!

∞ 234483279c20∞

Final answer:

Yes, the statement is true. When white light passes through a prism, red light is the least deviated because it has the longest wavelength among the visible light spectrum. This dispersion phenomena breaks white light into its constituent colors.

Explanation:

The statement 'When white light passes through a prism, red light is least changed in direction' is True. This is because when white light, which is made up of different colors or wavelengths, is refracted through a prism, it experiences dispersion. As a result, different wavelengths of light are bent by different amounts. This phenomenon occurs because different frequencies of light have different refractive indices for a given material. Therefore, each color follows a slightly different path through the prism. Red light has the longest wavelength among the visible light spectrum and is refracted or bent the least compared to other colors such as violet, which has the shortest wavelength and is refracted the most. This explains why when we observe the dispersion of white light through a prism, such as in Newton's rainbow experiment, we see red light emerge at the least deviated angle, and violet light at the most deviated angle.

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ASAP PLS
If the amplitude of a wave is 2 feet, what is the Wave Height?

Answers

Answer;

= 4 feet

Explanation;

The height of the wave is defined as the elevation of the crest minus the elevation of the trough. or

The wave height is defined as the twice of the amplitude

It is given that the amplitude of the wave is 4 feet. The height of the wave is given as;

H = 2a

Where a is the amplitude of the wave.

Therefore, H = 4 feet.

How many of each component are shown in the diagram

Answers

Answer:

One battery, two resistors, two switches, three light bulbs

Explanation:

Each component is indicated with the following symbols:

- Battery: it is the one on the right, consisting of two longer lines and two shorter lines. It is the device that provides the electromotive force to the circuit

- Resistors: they are the devices on the bottom line, consisting of zig-zag lines. Resistors are pieces of circuit that resist to the flow of current in the circuit.

- Switches: they are labelled with a line with two dots at both ends. They can be opened/closed in order to stop/allow the flow of current in the circuit.

- Light bulbs: they are labelled with a circle filled with a X.

Answer:

A B D E

Explanation:

Bc I did the test

Explain how the mass of a planet affects the motion of the planet around the sun?

Answers

Answer:

The gravitational attraction of the Sun is what holds the planets in their elliptical orbits. So to explain this the mass effects the motion of the planets because the strength of gravitational force depends of the mass.

Explanation:

The mass of a planet affects the motion of the planet around the sun because mass is directly proportional to the gravitational force.

What is gravity?

The force of attraction felt by a person at the center of a planet or Earth is called as the gravity.

Force of gravity between Sun and planet while moving in orbit is given by

F = GMm/R²

where M is the mass of Sun, m is the mass of any planet, G = gravitational constant = 6.67 x 10⁻¹¹ N.m²/kg² and R is the distance between two masses.

The weight of a person or object is determined by gravity. The gravitational attraction of the Sun holds the planets to move in their elliptical orbits.

Thus, the mass effects the motion of the planets because the strength of gravitational force depends of the mass of planet

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Which of the following waves have the highest energy? A. Gamma Waves B. Microwaves C. Radio Waves D. Visible Light

Answers

A. Gamma waves have the highest

Final answer:

Gamma Waves have the highest energy in the given list, followed by X-rays, Ultraviolet, Visible Light, Infrared, Microwaves, and then Radio Waves. Their energy is high enough to damage biological cells

Explanation:

In the electromagnetic spectrum, the energy of a wave is inversely proportional to its wavelength. The shorter the wavelength, the higher the energy they have. In this list, Gamma Waves have the shortest wavelength and therefore the highest energy.

Following Gamma Waves, are X-rays, Ultraviolet, Visible Light, Infrared, Microwaves, and then Radio Waves in terms of energy. Among these options, Gamma Waves definitely have the highest energy. The energy of Gamma Waves can be so high that they can cause damage to biological cells and are thus used in cancer therapy to destroy tumors.

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Which is an example of reflection

Answers

Final answer:

Reflection can be seen when light bounces off a body of water, when it reflects from a mirror, or even off rough surfaces like sidewalks, where the light is scattered rather than forming a clear image.

Explanation:

An example of reflection can be observed when looking at the surface of a body of water. From above, the water reflects light back into the air, providing us with the visible image of our surroundings. A familiar everyday experience is observing light reflection from a mirror, where light rays hit the mirror and bounce off at the same angle, forming a clear image. Surfaces like sidewalks also demonstrate reflection; the rough texture scatters the light in various directions, which is why we do not see a distinct image of the sun, but we still perceive the concrete due to reflected light.

Atmospheric refraction of light rays is responsible for which of the following effects? a. spherical aberration c. chromatic aberration b. mirages d. total internal reflection in a gemstone

Answers

Answer: b. mirages

Explanation:

A mirage is an optical illusion that occurs naturally due to refraction in the atmosphere. This phenomenon occurs especially in environments where the air exhibits large variations in its temperature, causing each of the layers with different temperatures to have a different index of refraction and therefore, the light rays will be diverted to the colder side.

Then, when this happens, displaced images of distant objects, or in the sky, are produced. In fact, sometimes it seems that distant objects are reflected on a liquid surface that is not real.

List 3 differences between the American League and the National League in Baseball?

Answers

Question ~ What's the difference between the American and National Baseball Leagues?

Answer ~ Major League Baseball is divided into two leagues with long and storied histories. See more sports pictures

Most people know that Major League Baseball is divided into two separate leagues: 1The American League and the National League. The National League, formed in 1876, is the older of the two leagues that make up the professional Major League Baseball organization in the United States and Canada. The main difference in the two is that the American League uses the designated hitter rule to replace pitchers during at-bats, and the National League does not.

Alexander Cartwright, an architect and sportsman in New York City, is widely recognized as the father of modern organized baseball. He was instrumental in founding the first organization devoted to playing baseball, the Knickerbocker Base Ball Club, in 1845. He wrote 20 rules about the field layout and how the game was played. The most important one was that players had to be tagged or forced out rather than having the ball thrown at them [source: Dickey]. Of course, the rules were modified as the game evolved, but Cartwright gave us the essence of baseball.

Sorry if it's a bit too long and the word with the D isn't supposed to be a bad word in there sorry about that xD This took me a while. (It's not the Bad word with a D btw ;-; just don't mind that.) I'll put the part you need in bold so you know where they are. I don't know the others like the other 2 differences. But I tried my best. I hope this helps my hands really hurt from typing ;-;

Final answer:

Three differences between the American League and National League in Baseball include the use of the DH rule by the AL but not traditionally by the NL, the former impact of the All-Star Game on World Series home-field advantage, and the integration of Interleague play.

Explanation:

The American League (AL) and the National League (NL) are the two leagues that make up Major League Baseball (MLB). Historically, there have been several differences between them. Here are three distinct differences:

The DH rule: The American League uses the Designated Hitter (DH) rule, allowing a player to bat in place of the pitcher without affecting defensive alignments. The National League, until 2022, typically did not use the DH, requiring pitchers to bat for themselves.All-Star Game: The outcome of the MLB All-Star Game between the AL and NL used to determine home-field advantage in the World Series. This practice was in place from 2003 to 2016, with the league winning the All-Star Game securing home-field advantage.Interleague play: Interleague play was adopted by MLB in 1997, allowing AL and NL teams to compete against each other during the regular season. Initially, this was far more common for AL teams than for NL teams, but it has since become a regular part of the schedule for both leagues.

These differences contribute to unique strategies and fan experiences within each league.

In the diagram the solid green line represents earths rotational axis and the dashed red line represent the magnetic field axis which diagram accurately shows earths magnetic field

Answers

Answer: the answer is B.

Explanation:

Answer:

Option B)

Explanation:

As we know that Earth's magnetic poles are inclined at some angle with the rotational axis of the Earth.

So here the magnetic poles must be inclined at some angle with the rotational axis of Earth

Now we know that magnetic field of earth originates from the south pole of earth and terminate near the north pole of earth

So magnetic poles of earth are opposite to the geographic pole of earth

So magnetic field will originate near the south pole and go near the north pole of earth

so here correct answer must be Option B)

Select the correct answer. What happens to the sum of the ball’s kinetic energy and potential energy as the ball rolls from point A to point E? Assume there’s no friction between the ball and the ground. A. The sum decreases. B. The sum increases. C. The sum remains the same. D. The sum always equals zero.

Answers

Answer:

It might be the sum is the same

Explanation:

Correct me if i am wrong but there is no friction so that means there would not be anything slowing down the ball, therefore the ball wouldn't change or the energy wouldn't change because the ball would never stop.

The sum of the ball’s kinetic energy and potential energy remains the same as the ball rolls from point A to point E ( if there’s no friction between the ball and the ground).

Answer: Option C

Explanation:

Based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces (friction or air resistance) in a bound system.

                    E = Kinetic + Potential

The kinetic energy is high when ball goes downward but potential energy decreases and reverse happens when ball goes up. But in these case, the sum energy would be constant one.


A 3-kilogram block slides along on a frictionless surface at 4 m/s north, and strikes an obstacle that exerts an impulse on the block of 6 N-s to the south. What is the speed of the block after the collision?

Answers

Answer:

2 m/s

Explanation:

The impulse exerted by the obstacle on the block is equal to the change in momentum of the block:

[tex]I=\Delta p = -6 Ns[/tex]

where we put a negative sign because the direction of the impulse is south, which is opposite to the initial direction of travelling of the block (north).

The change in momentum is also equal to

[tex]\Delta p = m (v-u)[/tex]

where

m = 3 kg is the mass of the block

v is the final velocity

u = +4 m/s is the initial velocity

Solving the equation for v, we find the final velocity of the block:

[tex]v=u+\frac{\Delta p}{m}=+4 m/s+\frac{-6 Ns}{3 kg}=+2 m/s[/tex]

and the positive sign means the direction is still north.

One charge is decreased to one-third of its original value, and a second charge is decreased to one-half of its original value. how will the electrical force between the cahrges compare to the original force
it will decrease to 6 times the original force
it willnincrease to 36 times the original force
it will decrease to one-sixth the original force
it will decrease to one-thirty-sixth the original force​

Answers

I just had this question on my test, the answer is C.

Answer:

The new force will decrease to one sixth the original value.

Explanation:

It is given that,

One charge is decreased to one-third of its original value, and a second charge is decreased to one-half of its original value.

Let, [tex]q'_1=\dfrac{1}{3}q_1[/tex] q₁ is the charge 1

[tex]q'_2=\dfrac{1}{2}q_2[/tex] q₂ is the charge 2

Initially, the electrical force between the charges is given by :

[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]...........(1)

Let F' is the new force i.e.

[tex]F'=k\dfrac{q'_1q'_2}{r^2}[/tex]

So,

[tex]F'=k\dfrac{\dfrac{1}{3}q_1\times \dfrac{1}{2}q_2}{r^2}[/tex]

[tex]F'=\dfrac{1}{6}k\dfrac{q_1q_2}{r^2}[/tex]

[tex]F'=\dfrac{1}{6}F[/tex]  (from equation 1)

Hence, the new force will decrease to one sixth the original value.

A common characteristic of sound waves is that they

A. Are created by vibrations
B. Travel in straight lines toward the source
C. Travel fastest through empty space
D. Move at the speed of light

Answers

Answer;

A. Are created by vibrations

Explanation;Mechanical waves are waves which travel only through matter and involve the motion  and vibration of particles of the matter they pass through. Sound waves are an example.Sound waves are longitudinal waves. Speed of sound is about 343 m/s (767 mi/h) in sea-level air at ordinary temperatures. Additionally, sound travels faster in liquids and solids than in gases.

A common characteristic of sound waves is that they are created by vibrations. Sound is produced when an object or medium vibrates, causing molecules or particles in the surrounding medium to also vibrate. The correct option is option (A).

A common characteristic of sound waves is that they are created by vibrations. These vibrations are transmitted as mechanical waves through the medium, resulting in the propagation of sound.

Sound waves travel in a variety of directions depending on the source and surrounding conditions, so option (B) is not accurate in general.

Option (C) is incorrect because sound waves require a medium to propagate and cannot travel through empty space, such as a vacuum.

Option (D) is also incorrect because the speed of sound is much slower than the speed of light.

A common characteristic of sound waves is that they are created by vibrations. The correct option is option (A).

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Which statement below best describes the properties of solids? A. Solids have both definite shape and definite volume. B. Solids have definite volume but no definite shape. C. Solids have definite shape but no definite volume. D. Solids have no definite shape or volume.

Answers

The answer is A. Solids have both definite shape and denfinite volume.

The correct statement that describes the properties of solids is A. Solids have both a fixed shape and a fixed volume, resulting from the particles being in fixed positions and bound by strong intermolecular forces.

Among the statements given, the one that best describes the properties of solids is: A. Solids have both definite shape and definite volume. In the solid state, the particles that make up the material are in fixed positions relative to each other because the thermal energy is not sufficient to overcome the strong intermolecular forces that bind them. This result is that solids have a rigid and definite shape, and they also have a definite volume, which means they do not change volume or shape unless a force is applied that alters their structure.

Liquids, on the other hand, have a definite volume but no definite shape, assuming the shape of their containers. Gases fill their containers completely, expanding to fill the volume available and thus having neither a definite volume nor a definite shape.

During a storm, the power went out at Bailey's house. She had no electricity. What could she use as an alternate form of electrical energy?

Answers

A battery operated lamp because battery's don't use your own electricity. They come with electricity already.

a battery operated lamp

whats 46/50 as a percent?​

Answers

92 percent because you multiply it by 2

I'm pretty sure that would be a A.

What will happen to your kinetic energy if you triple your speed

Answers

The change in the kinetic energy of the object as the speed changes is proportional to the square of the factor by which the speed changes. For example if the speed of the object becomes double, its kinetic energy changes to four times the initial kinetic energy.

Please help me with homework

Answers

Answer;

  = 64 N/m

Explanation;

According to Hooke's Law for a helical spring or an elastic material, extensional force is directly proportional to the distance the material has extended.

F = ke; where F is the extension force, k is the spring constant, and e is the distance extended.

Thus;

k = F/e

  = 44N/0.69 m

  = 63.768 N/m

  = 64 N/m

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Which of the following is an example of work being done on an object?
A.
A man pushes a couch across the room.
B.
A prism scatters ultraviolet light into visible light.
C.
A box rests on the floor.
D.
Water in a pot changes into steam.

In the diagram above, which letter identifies an axle?
A.
X
B.
Z
C.
Y
D.
W

Which simple machine can be described as a shaft that is attached to the center of a wheel?
A.
lever
B.
inclined plane
C.
pulley
D.
wheel and axle

Usually, levers are used to reduce the input force needed to move an object. This is only possible when the input force acts over a long distance and the object moves a shorter distance.

However, sometimes levers are designed to increase the input force needed to move an object. Which of the following is most likely an example of this type of lever?
A.
a catapult
B.
a see-saw
C.
a wheelbarrow
D.
a crowbar

Answers

Answer:

work being done on an object.

Answer. A. A man pushes a couch across the room

diagram identifies an axle:

Answer: B. Z

simple machine described as a shaft at the center of a wheel:

Answer: D. Wheel and axle

Type of lever:

A. a catapult

Answer:

work being done on an object.

Answer. A. A man pushes a couch across the room

diagram identifies an axle:

Answer: B. Z

simple machine described as a shaft at the center of a wheel:

Answer: D. Wheel and axle

Type of lever:

A. a catapult

Explanation:

A force of 5N and a force of 8N act to the same point and are inclined at 45degree to each other. Find the magnitude and direction of the resultant force.

Answers

Magnitude: 12.1 N.Direction: 17.0° to the 8 N force.Explanation

Refer to the diagram attached (created with GeoGebra). Consider the 5 N force in two directions: parallel to the 8 N force and normal to the 8 N force.

[tex]\displaystyle F_{\text{1, Parallel}} = F_1 \cdot \cos{45^\textdegree} = \dfrac{5\sqrt{2}}{2}\;\text{N}[/tex].[tex]\displaystyle F_{\text{1, Normal}} = F_1 \cdot \sin{45^\textdegree} = \dfrac{5\sqrt{2}}{2}\;\text{N}[/tex].

The sum of forces on each direction will be the resultant force on that direction:

Resultant force parallel to the 8 N force: [tex](8 + \dfrac{5\sqrt{2}}{2})\;\text{N}[/tex].Resultant force normal to the 8 N force: [tex]\dfrac{5\sqrt{2}}{2}\;\text{N}[/tex].

Apply the Pythagorean Theorem to find the magnitude of the resultant force.

[tex]\displaystyle \Sigma F = \sqrt{{(8 + \dfrac{5\sqrt{2}}{2})}^2 + {(\dfrac{5\sqrt{2}}{2})}^2} = 12.1\;\text{N}[/tex] (3 sig. fig.).

The size of the angle between the resultant force and the 8 N force can be found from the tangent value of the angle. Tangent of the angle:

[tex]\displaystyle \dfrac{\Sigma F_\text{Normal}}{\Sigma F_\text{Parallel}} = \dfrac{8 + \dfrac{5\sqrt{2}}{2}}{\dfrac{5\sqrt{2}}{2}} \approx 0.306491[/tex].

Find the size of the angle using inverse tangent:

[tex]\displaystyle \arctan{ \dfrac{\Sigma F_\text{Normal}}{\Sigma F_\text{Parallel}}} = \arctan{0.306491} = 17.0\textdegree[/tex].

In other words, the resultant force is 17.0° relative to the 8 N force.

Other Questions
50 pts!!!!ACTIVITY: EXAMINE YOURSELF1. Trust in Christ:According to what we read in the New Testament, why did Jesus have to die and rise from the dead? What did Jesus secure for us through his death and resurrection? How do we receive the benefits of Jesus death and resurrection? Have you trusted in Jesus?2. Obedience to God:If we choose to trust in Christ, why should we seek to live in obedience to God? Should our motivation for obeying God be love and thanksgiving or fear?3. Growth in Holiness:What does the word holiness mean? What does the expression growth in holiness suggest about the Christians life? If becoming like Jesus is a process, if we trust in Christ, what should we see as we look back over their lives?4. The Fruit of the Spirit:If we trust in Christ, the Holy Spirit will, over time, produce the Fruit of the Spirit in us. Specifically, if we trust in Christ, how will the Fruit of the Spirit affect our relationship with other people?5. Love for Other Christians:God loves everyone with unconditional, unrelenting, and unselfish love. God calls everyone who trusts in Christ to love others the way he loves everyone. If we love others the way God loves us through Jesus, what will we be willing to do for others?6. Positive Influence on Others:Why are people who trust in Christ able to positively influence others?7. Adherence to the Tenets of Scripture:Why should people who trust in Christ use the Bible to support their beliefs about God, people, and the world rather than their opinions or the opinions of others?8. Testimony of the Holy Spirit:In your opinion, who is God? Does your description of God include a reference to love? To what extent does God love you? How does the reality of Gods unconditional, unrelenting, and unselfish love for your affect your relationship with him? The next best alternative given up when making a choice is called the __________. A. Opportunity cost B. Comparative advantage C. Primary objective D. Negative consequence Please select the best answer from the choices provided. A B C D 1.The temperature was 80F and then fell 20F. 2.The temperature was -13F and then rose 9F. 3.The temperature was -5F and then fell 8F. A polygon has the following coordinates: A(-5,5), B(2,5), C(-5,-2). Find the length of AB. A. 5 units B. 7 units C. 6 units D. 4 units A few students want to live healthier lifestyles. They decide to use one of the following vegetable oils for cooking. Based on the information in the table, which type of oil is the worst for a healthy lifestyle?A. Sunflower oilB. Olive oilC. Coconut oilD. Maize oil Ricardo wants to study the academic performance of graduate students in the u.s. first, he decides that he will study schools in only 15 states and randomly selects those states. he then randomly selects 30 schools from these 15 states. over a period of 3 months, ricardo travels to these 30 schools and studies the academic performance of their students. identify the sampling technique used by ricardo in this scenario Imagine that you are a political leader advising citizens on their country's future. Tell the citizens of this imaginary country wether you think their country should have a one-party, two party, or multiparty political system and why. You must explain the advantages and disadvantges for all party systems. Consider: characteristics of a two-party system, Characteristics of a multiparty system, advantages and disadvantages of a coalition government. If you have already answered this question for someone else please write something different and thank you very much What is the value of x? Ella and her brother are driving between 2 cities that are 330 miles apart at a rate of 55 mph.How long will it take them to make the trip As an electric current forms an electric field, a(n) _______ is created in the phenomenon of electromagnetism.A.) Magnetic FieldB.) Electromagnetic CurrentC.) Magnetic CurrentD.) Electronic Current may I get some help? The transfer of a phosphate group to a molecule or compound is called He price index was 92 in 2014, and the inflation rate was 8.7 percent between 2013 and 2014. the price index in 2013 was Which organ is responsible for dehydration and compaction of indigestible materials?A) esophagusB) large intestineC) anusD) small intestineE) stomach Identify the domain of the function shown in the graph. How do mosquito larva perform respiration which point lies on a circle with a radius of 5 units and center at P(6,1)?a. Q(1, 11)b. R(2, 4)c. S(4, -4)d. T(9, -2) f(x) = x2 8x 15 g(x) = x 3 h(x) = f(x) g(x) h(x) = . The domain of h(x) is U Think about the sculpture humans form does Caesar look old or young? What is the first thing that strikes you about this Representation of Julius Caesar In the diagram below O id circumscribed about quadrilateral ABCD. What is the value of x? Steam Workshop Downloader