2. Link walks 5 miles east, then 7 miles north, than 2 miles south.
a) What distance did he travel? What is his displacement?
b) Suppose Link made the whole journey in 4 hours. What was his average speed and
average velocity during his journey?

The distance between the hands is obtained as 13 ft.

Let us commence by restating the definition of distance as the difference between two points. Now from the image we can see the geometry of the problem. The minute hand is clearly much longer than the hour hand we can not solve this problem if we do not involve the Pythagoras theorem seeing that a right angled triangle has to be formed in this case here.

Length of the minute hand =  17.0 ft

Length of the hour hand = 11.0 ft

Using the Pythagoras theorem;

c^2 = a^2 + b^2

b^2 = c^2 - a^2

b = √c^2 - a^2

b = √(17.0)^2 - (11)^2

b = 13 ft

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The average force exerted by seatbelts on the passenger is 1493.3N.

initial velocity of the car, u = 96km/h

time taken by the car, s = 5.0 sec

final velocity of the after coming to rest, v = 0

mass of the passenger, m = 56 kg

to find out the acceleration of the car we use equation of motion

v = u+ at

0 = 96km/h + ax 5s

a = - 96 x 18/5x5

a = -26.6m/s²

The deceleration of the car is 26.6 m/s²

The force exerted on the passenger by the backward action of the car is calculated as

F = ma

where

m is mass

a is acceleration

F = 56 x 26.6

F = 1493.3 N

Therefore, the average force exerted by seatbelts on the passenger is 1493.3N.

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The volume of the rock, given the data is 14 mL (Option A)

From the question given above, the following data were obtained:

The volume of the rock can be obtained by calculating the displacement of the water when the rock was added. this can be obtained as follow:

Displacement of water = (Volume of water + rock) - (volume of water)

Displacement of water = 34 - 20

Displacement of water = 14 mL

Thus, the volume of the rock is 14 mL

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Complete question:

See attached photo

Answer:

I think it's initial vertical velocity but I may be wrong

Explanation:

The frequency of the radiation is 3.27×10⁻¹⁴ Hz.

The frequency of a wave is the number of complete oscillation made by that wave in one seconds. The S.I unit of frequency is Hertz

To calculate the frequency of the radiation, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the frequency of the radiation is 3.27×10⁻¹⁴ Hz.

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Answer: Airbag

Explanation:

Provides safety to passengers during a collision.

If a hydraulic catapult propels the car to the top of the ride, at a height of 405 ft. If the car and occupants weigh 1188 lb, then the potential energy of the loaded car at the top would be 652542.68 Joules.

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

As given in the problem, for the roller coaster, a hydraulic catapult propels the car to the top of the ride, at a height of 405 ft. If the car and occupants weigh 1188 lb,

1 lb = 0.4536 Kg

1188 lb = 1188× 0.4536 Kg

           =538.87 Kilograms

1 ft = 0.3048 meters

405 ft = 405×0.3048 meters

          =123.44 meters

The potential energy of the loaded car at the top = mgh

                                                                                   =538.87×9.81×123.44

                                                                                   =652542.68 Joules

Thus, the potential energy of the loaded car would be 652542.68 Joules.

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The particles of helium that were in the balloon will spread out evenly within the room.

When Sami pops a helium balloon at a birthday party then the particles of helium will just mix with air. The helium gases lighter dense than the air.

Air consists mostly of nitrogen and oxygen but there are also some traces of carbon dioxide  and noble gases in air, and helium is one of those noble gases.

Helium -

The particles of helium that were in the balloon will spread out evenly within the room.

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The average velocity of the electron over the entire time interval is 1.182 x 10⁷ m/s.

The average speed of the electron over the entire time interval is  6.454 x 10⁷ m/s.

The average velocity of an object is the change in the displacement of the object with time.

average velocity = total displacement / total time of motion

average velocity = (final position - initial position)/total time

average velocity = (2.39 m - 1.65)/(2.89 x 10⁻⁸  +  3.37 x 10⁻⁸)

average velocity = 1.182 x 10⁷ m/s

The average speed of an object is ratio of total distance to total time of motion of the object.

average speed =  (2.39 m + 1.65 m)/(2.89 x 10⁻⁸  +  3.37 x 10⁻⁸)

average speed = 6.454 x 10⁷ m/s

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The conservation of mass and energy just means that they can't be destroyed, only changed into other forms. For example, when we burn something, the matter isn't going away. It is just changing into heat and light energy. After any chemical reaction, the amount of matter and energy will stay the same.

Answer:

-68.6m/s

Explanation:

after 1 second its velocity is -9.8 m/s. after 2 seconds its velocity is -19.6 m/s. after 3 seconds its velocity is -29.4 m/s.

so 7 multiplied by the velocity for 1 second will give you the answer.

The magnitude of the force on the 89 kg person who is decelerating at 30 m / s² is 272.44 N

According to Newton's second law of motion,

F = m a

m = W / g

F = Force

m = Mass

a = Acceleration

W = Weight

g = acceleration due to gravity

a = 30 m / s²

W = 89 kg  

F = 89 * 30 / 9.8

F = 272.44 N

According to Newton's second law of motion, Acceleration of an object is dependent upon the mass of the object and the net force acting on it.

Therefore, the magnitude of the force on the 89 kg person who is decelerating at 30 m / s² is 272.44 N

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Answer:

2

Explanation:

answer to the question is written up

The technique that is used to check the meaning of certain nonverbal behaviors of the speaker is looking away. The correct option is 4.

Nonverbal communication refers to the transmission of messages or signals via nonverbal platforms such as eye contact, facial expressions, gestures, posture, and body language.

It entails using social cues, kinesics, distance and physical environments/appearance, voice, and touch.

Nonverbal communication methods include your posture, facial expressions, and eye contact. We all use these cues in everyday conversation, even if unconsciously.

When people are thinking, hesitating, or speaking in a non-fluent manner, they tend to look away.

This behavior most likely serves two purposes. The first is to psychologically protect themselves from the embarrassment of being judged for not proceeding.

Thus, the correct option is 4.

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Answer:

S = Vx t = 900 t

t = 150 / 900 = 1/6 sec  

If the bullet is fired horizontally it will travel 900 m in .167 sec

H = 1/2 g t^2 = 1/2 * 10 * (1/6)^2 = .139 m      distance bullet will fall

Answer:

Explanation:

The correct answer will be that the internet in north korea, Saudi Arabia and  china is controlled by the government.

As in these countries according to the constitution of these countries there is a very much restriction on the civilians even for the internet usage. So the internet usage is controlled by the government in these countries.

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(a) The cheetah's average acceleration during the short sprint is 5.67 m/s²

(b) The displacement of the cheetah after the given time is 94.42 m.

The average acceleration of the cheetah is calculated as follows;

v² = u² + 2as

where;

u is initial velocity = 78 km/h = 21.67 m/s

v is the final velocity = 114 km/h = 31.67 m/s

31.67² = 21.67² + 2(47)a

31.67² = 21.67² + (94)a

94a = (31.67² - 21.67²)

a = (31.67² - 21.67²)/94

a = 5.67 m/s²

s = ut + ¹/₂at²

s = (21.67 x 3.1)  +  ¹/₂(5.67)(3.1²)

s = 94.42 m

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It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.

Output force is the force exerted on an object by a simple machine.

If the output force is greater than the input force, the mechanical advantage is greater than 1.

The mechanical advantage ratio is output force divided by input force. The larger the mechanical advantage, the easier it is to do work.

Mathematically, the output force of a simple machine is given as;

output force = load x distance moved by load

Thus, it takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.

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The charge is obtained as 5.35 * 10^-9 C.

The electric filed is defined as the region in space where the influence of a charge is felt. In this case, we know that the magnitude of the electric charge has been given to be 4.70 N/C and the distance is 3.20 m.

Let us recall that;

E = Kq/r^2

K = electric field constant

q = magnitude of charge

r = distance of separation

E = Kq/r^2

Er^2 = Kq

q = Er^2/K

q =  4.70 N/C * (3.20 m)^2/9.0 * 10^9

q = 5.35 * 10^-9 C

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Theacceleration of gravity is 9.8m/s²  so velocity = 5.269.

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

A body or item will have a pressure equivalent to atmospheric pressure when the external pressure pressing on it ceases to exist. In this instance, point A is under some pressure from the liquid. The pressure at point A becomes equal to atmospheric pressure when we tilt the container.

Given, h= 30.1 m

x = 13.06 m

g = 9.8

h = 1/2 gt^2

x = v √(2h)/g

13.06 = v √(2)(30.1)/9.8

13.06 = v (2.47847879613)

13.06 / 2.47847879613 = v

v = 5.269.

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The color change would be an example of qualitative observation.

The approach of conducting research known as qualitative observation uses subjective methodologies to collect information or data. Although qualitative observation takes a lot longer than quantitative observation because the goal is to compare quality differences, the research is vast and much more individualized.

The five main senses—sight, smell, touch, taste, and hearing—and how they function are the topics of qualitative observation. This involves attributes rather than measures or numbers.

Hence, recording a color change would be an example of a qualitative observation.

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A) the maximum weight of the air-conditioning unit allowed is 557.7 N. and B) the work done by force F on the object that undergoes displacement is 456.75 J.

Given in the question,

The angle of the Slope = 39 Degrees

Max Weight perpendicular of the roof allowed = 435 N

Distance of roof = 1.3 meters

Let us assume the force of the weight of air-conditioning unit be F.

Now as the roof is at the slope of 39 degrees, The weight perpendicular to the roof tile will be the cos component of the force F.

Max perpendicular Weight = F×(cos(Ф)),

Put in the values, we get

F × Cos(39) = 435

F = 435/Cos(39)

F = 435/0.78   [ Value of cos39 = 0.78 ]

F = 557.7 N

a) So, the maximum weight of the air-conditioning unit allowed is 557.7 N.

b) If the unit sides down the roof, the vertical distance traveled by the unit will be the sin component of the length traveled by it along the roof.

Vertical Displacement = (Length Along Roof)× Sin(39)

Force vertically Downward =  F = 557.7 N

Using Formula, W= F.s, Put in the value, we get

W = F × (Length Along Roof)× Sin(39)

W = 557.7 × 1.3 × 0.63

W = 456.75 J

So, A) the maximum weight of the air-conditioning unit allowed is 557.7 N. and B) the work done by force F on the object that undergoes displacement is 456.75 J.

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The applied force needed to lift both buckets up is 71 N.

The net force applied on the buckets is calculated as follows;

F(net) = F(T) + (-Fg)

where;

Substitute the given parameters and solve for the net force on the bucket.

F(net) = 60 N - (5 x 9.8)

F(net) = 60 N - 49 N

F(net) = 11 N

The force needed to lift the bucket = F(net) + F(T)

F(app) = 11 N + 60 N

F(app) = 71 N

Thus, the applied force needed to lift both buckets up is 71 N.

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Answer:

yes

Explanation:

The correct answer 12.611 mph.

Cyclist traveling in a northwest direction at a speed of 16 mph. (Directed 45 degrees from the North)

Cycling speed is therefore 16 sin (45 o) in the direction of the north and 16 cos (45)  in the direction of the west

Let's assume that this is located on a cartesian plane. Let the positive Y-axis be north and the positive X-axis be east.

Speed = [tex]V_c[/tex] = (-16/√2 i + 16/√2 j) mph

In relation to a cyclist, the wind speed is = [tex]V_{cw[/tex] = 17 i mph

Let, V_w thus,

[tex]V_{cw = V_w - V_c[/tex]

[tex]V_w = V_{cw + V_c[/tex]

[tex]V_w[/tex] = 17i +  (-16/√2 i + 16/√2 j)

[tex]V_w[/tex] = (17 - 16/√2) i + 16/√2 j

[tex]V_w[/tex] = 5.6 i + 11.3 j

| [tex]V_w[/tex]| = 12.611

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The term is scattering of lights when visible light interacts with transparent glass.

Light interacts with glass atoms when it strikes any surface, even transparent ones, causing it to change direction repeatedly. This process is known as the scattering of light. While some light is reflected throughout the process, the majority of light passes through the glass.

The shorter the wavelength and the higher the frequency, the stronger the scattering due to the wave shape of the lines and their intersections with the particles. The more wavy lines you have, the more likely they are to intersect with a particle. On the other hand, the longer the wave, the lower the frequency, the straighter it is, and the less likely it is to hit the particle.

The curvature of color light is visible during the day because of the refraction of light and total internal reflection. Waves of sunlight produce different colors in different directions. The Rayleigh scattering theory is based on the red color of the sun in the morning and the blue color of the sky.

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Answer:

B

Explanation:

The ice begins to melt which requires it absorb heat from the water...the water gets cooler and the ice gets smaller

The maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.

What is Projectile Motion?

Projectile motion is a form of motion experienced by an object or particle that is projected near earth's surface and moves along a curved path under the action of gravity only.

Given is a projectile projected towards a target a distance 1270 m away. Initial velocity of the projectile is 125.6 m/s and makes an angle 26° with the horizontal.

The vertical component of the initial velocity →

u[y] = 125.6 sin(26°) = 125.6 x 0.44 = 55.26 m/s.

The horizontal component of the initial velocity →

u[x] = 125.6 cos(26°) = 125.6 x 0.89 = 111.78 m/s

Horizontal distance covered →

h[x] = 1270 m

Time taken to travel the horizontal range →

t = h[x] / u[x]

t = 1270 / 111.78 = 11.36 seconds

The time at which the height is maximum →

t [max] = 11.36/2 = 5.68 s

Using Newton's second law of motion for vertical direction -

S[y] = u[y] t + 1/2 a[y] t²

At t = t [max], the vertical height will be maximum -

S[y] (max) = 55.26 x 5.68 - 1/2 x 9.8 x 5.68 x 5.8 =

S[y] (max) = 313.87 - 158.08

S[y] (max) = 155.79 meters.

Hence, the maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.

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Answer:

Explanation:

The correct option will be the option (d) that is copyright.

The legal right given to a creator for a work to earn profit from it is known as copyright. That works can be about books, music, painting, sculptures, and films, any database programs, advertisements, new technology, maps etc. if any person doesn’t the follow the protocols of this copyright rule then he/she will be punished.  For that he/she might have to pay some money for stealing the creator’s work.

So, the correct option will be the copyright.

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