im confused on number one

The resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.

To find the resultant vector A + B + C, we need to break down each vector into its horizontal (x) and vertical (y) components, and then add them together.

Given:

Vector A: magnitude = 8.0 m, angle = 30 degrees north of east

Vector B: magnitude = 6.0 m, angle = 30 degrees west of north

Vector C: magnitude = 5.0 m, angle = 30 degrees west of south

Let's calculate the x and y components for each vector:

For Vector A:

A_x = 8.0 m × cos(30°)

A_x = 8.0 m × 0.866

A_x ≈ 6.928 m

A_y = 8.0 m × sin(30°)

A_y = 8.0 m ×0.5

A_y = 4.0 m

For Vector B:

B_x = 6.0 m × sin(30°)

B_x = 6.0 m × 0.5

B_x = 3.0 m

B_y = 6.0 m × cos(30°)

B_y = 6.0 m × 0.866

B_y ≈ 5.196 m

For Vector C:

C_x = 5.0 m × sin(30°)

C_x = 5.0 m ×0.5

C_x = 2.5 m

C_y = 5.0 m × cos(30°)

C_y = 5.0 m × 0.866

C_y ≈ 4.33 m

Now, let's add up the x and y components:

Resultant x component = A_x + B_x + C_x

Resultant x component = 6.928 m + 3.0 m + 2.5 m

Resultant x component ≈ 12.428 m

Resultant y component = A_y + B_y + C_y

Resultant y component = 4.0 m + 5.196 m + 4.33 m

Resultant y component ≈ 13.526 m

Finally, we can find the magnitude and angle of the resultant vector:

Resultant magnitude = sqrt((Resultant x component)² + (Resultant y component)²)

Resultant magnitude = sqrt((12.428 m)^2 + (13.526 m)^2)

Resultant magnitude ≈ 18.015 m

Resultant angle = arctan(Resultant y component / Resultant x component)

Resultant angle = arctan(13.526 m / 12.428 m)

Resultant angle ≈ 48.413°

Considering the answer choices provided:

A) 2.1 m at an angle 66 degrees east of north.

B) 5.9 m at an angle 74 degrees north of east.

C) 2.7 m at an angle 74 degrees north of east.

D) 5.1 m at an angle 74 degrees north of east.

E) 4.8 m at an angle 74 degrees east of north.

The closest match to our calculated result is:

D) 5.1 m at an angle 74 degrees north of east.

Therefore, the resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.

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Answer:

its all of the above.

Explanation:they all have potential energy but they get it in different ways.

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Given :

weight is equal to :

Weight of the object is 0.37 Newtons ~

Correct choice is B

plzzz explain me your questions

Answer:

19.4Nm..............

Answer:

ohohoh

Explanation:

c

Answer:

Explanation:

1The study of science and engineering should produce a sense of the process of argument necessary for advancing and defending a new idea or an explanation of a phenomenon and the norms for conducting such arguments. In that spirit, students should argue for the explanations they construct, defend their interpretations of the associated data, and advocate for the designs they propose. (NRC Framework, 2012, p. 73)

Argumentation is a process for reaching agreements about explanations and design solutions. In science, reasoning and argument based on evidence are essential in identifying the best explanation for a natural phenomenon. In engineering, reasoning and argument are needed to identify the best solution to a design problem. Student engagement in scientific argumentation is critical if students are to understand the culture in which scientists live, and how to apply science and engineering for the benefit of society. As such, argument is a process based on evidence and reasoning that leads to explanations acceptable by the scientific community and design solutions acceptable by the engineering community.

Argument in science goes beyond reaching agreements in explanations and design solutions. Whether investigating a phenomenon, testing a design, or constructing a model to provide a mechanism for an explanation, students are expected to use argumentation to listen to, compare, and evaluate competing ideas and methods based on their merits. Scientists and engineers engage in argumentation when investigating a phenomenon, testing a design solution, resolving questions about measurements, building data models, and using evidence to evaluate claims.

Compare and critique two arguments on the same topic and analyze whether they emphasize similar or different evidence and/or interpretations of facts.

Respectfully provide and receive critiques about one’s explanations, procedures, models and questions by citing relevant evidence and posing and responding to questions that elicit pertinent elaboration and detail.

Construct, use, and/or present an oral and written argument supported by empirical evidence and scientific reasoning to support or refute an explanation or a model for a phenomenon or a solution to a problem.

Make an oral or written argument that supports or refutes the advertised performance of a device, process, or system, based on empirical evidence concerning whether or not the technology meets relevant criteria and constraints.

Evaluate competing design solutions based on jointly developed and agreed-upon design criteria.

Answer:

285.7 g

Explanation:

Weight = mass x gravity

mass has units of kilograms

gravity is 9.8 m/s²

newton units are kg m / s²

So:

2.8 kg m/s² = mass x 9.8 m/s²

Divide both sides by 9.8

2.8 kg m/s²

----------------  =  mass in kg  = 0.2857kg

9.8 m/s²

Convert kilograms to grams by multiplying by 1000

0.2857kg        1000 g

--------------  X  ---------------  = 285.7g

       1                  1 kg

Answer:

The potential energy increases and the kinetic energy decreases

Answer:

The time period is

T

=

3.0

s

.

The distance between two crests is

λ

=

8.0

m

.

The frequency of wave can be calculated as,

f

=

1

T

f

=

1

3.0

s

f

=

1

3

s

−

1

The speed of wave can be calculated as,

v

=

f

λ

v

=

(

1

3

s

−

1

)

(

8

m

)

v

=

2.67

m

/

s

The final momentum of the ball after collision is 13 kg.m/s.

The given parameters;

Let the final momentum of the ball after collision = P₄

Apply the principle of conservation of linear momentum to determine the final momentum of the ball after collision;

total momentum before collision = total momentum after collision

P₁ + P₂ = P₃ + P₄

15 + 3 = 5 + P₄

18 = 5 + P₄

18 - 5 = P₄

13  = P₄

Thus, the final momentum of the ball after collision is 13 kg.m/s.

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The energy transferred to the kinetic energy store of the child A's ball bearing is 0.72 J.

The energy transferred to the kinetic energy store of the child A's ball bearing is determined from the principle of conservation of energy as shown below;

K.E = Ux = ¹/₂kx²

K.E = ¹/₂ x 144 x 0.1²

K.E = 0.72 J

Thus, the energy transferred to the kinetic energy store of the child A's ball bearing is 0.72 J.

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Answer:

An object will not move unless acted upon by an unbalanced force.

Explanation:

Since Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Hope this helps!!

According to Newton's law of motion an object will at a state unless and until a force act upon it. Hence, force is an external agent which change the state of an object.

Newton proposed three laws of motion explaining the motion an object. The first law states that an object will continue at the state of motion or rest unless a force acting on it.

Therefore force is an external agent which acts on a body to change it from the state of rest or motion. Force is directly proportional to the mass of the body. Hence, greater the mass, greater force must be applied to change its state.

The first of motion is called law of inertia, where inertia is the tendency of a body to stay in a state. Therefore, force changes this tendency of an object.

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Answer:

A

Explanation:

or else u would get a muscle pull

Answer:

a

Explanation:

Answer:

Mercury is the planet nearest the Sun and is the most difficult to observe, because it is always quite close to the Sun in the sky. Because of its orbital motion, it appears to swing back and forth around the Sun, reaching a maximum angular distance of about 28°.

Explanation:

I hope that helps you

Answer:

Mercury is very close to the Sun which means its hard to see the planet without the Sun's brightness outshining it. It is also the smallest planet in the solar system.

Hope this helps!

Explanation:

0.1 m

i dont know how to explain but i know the ans so ............byee ...

Answer:

Tu mujhe banaye ga face dekh aapna mirror me

Answer:

iloveyouuuuuuuuuuuuuuu

it prevents the current from passing through properly causing a surplus of voltage

This question involves the concepts of the equations of motion for both the vertical motion and the horizontal motion.

The diver "does not" hit the rock.

First, we will calculate the time taken by the diver to land. For this purpose, we will use the second equation of motion for the vertical motion of the diver:

[tex]h = v_{iy}t+\frac{1}{2}gt^2[/tex]

where,

h = height of cliff = 44 m

[tex]v_{iy}[/tex] = vertical component of the initial velocity of the diver = 0 m/s

t = time taken to land = ?

g = acceleration due to gravity = 9.81 m/s²

Therefore,

[tex]44\ m=(0\ m/s)t+\frac{1}{2}(9.81\ m/s^2)(t)^2\\\\t = \sqrt{\frac{(44\ m)(2)}{9.81\ m/s^2}}[/tex]

t = 3 s

Now, we will calculate the horizontal distance where the diver landed. For this purpose, we will use the equation of motion for the horizontal motion of the diver. Assuming the air resistance to be zero the horizontal motion will be uniform. Hence:

[tex]s = vt\\s = (1.8\ m/s)(3\ s)\\[/tex]

s = 5.4 m

Since the section of the rock was 4 m away from the cliff. Hence, the diver crossed that rock section and safely laded at a distance of 5.4 m, which is 1.4 m ahead of the rock section.

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The attached picture shows the equations of motion for the horizontal motion and vertical motion.

Answer:(:

Explanation:

1.   19685

2. 26400

3. 47244.1

4. 15.53428

5. 2.1336

6. 3.61111

7. 42240

8. 560

9. 24.384

10. 54

Answer:

[tex]{ \rm{1 \: {cm}^{3} = \frac{1}{100 {}^{3} } \: {m}^{3} }} \\ \\ { \rm{4 \: {cm}^{3} = \frac{4}{1000000} \: {m}^{3} }} \\ \\ { \boxed{ \rm{ = 0.000004 \: {m}^{3} }}}[/tex]

Answer:

Gravity, won't stop rolling the ball because of the mass and gravitational pull and I learned this from my big sister

Explanation:

Answer:

620 grams Mercury (1 mole Hg/200.6 grams) = 3.09 moles Hg

Explanation:

Have an awesome day ;)

The advantage for using 16-inch spacing is that ; ( B ) At a given load, the 16-inch spacing can support a larger span

The spacing along a span in construction engineering is determined by the amount and mass of load the span will either carry or support during and after construction.

A smaller span spacing can support a given load more efficiently than a larger span spacing because when the spacing is smaller it can support a larger span better than a larger span spacing.

Hence we can conclude that the advantage for using 16-inch spacing is that At a given load, the 16-inch spacing can support a larger span.

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Answer:

Alternative energy is energy sources other than fossil fuels, including renewable sources and nuclear energy. However, nuclear energy is not classified as a renewable energy source, because it is mined from uranium and thorium elements, which cannot be replenished. Hoped this helped!!!

Humans need sleep to help their brains function properly. The topic sentence in the given paragraph is "Humans need sleep to help their brains function properly." This sentence introduces the main idea of the paragraph, which is the importance of sleep for brain functioning.

1. The paragraph begins by stating that humans need sleep to help their brains function properly.

2. It further explains that the brain requires a minimum number of hours to rest and organize itself.

3. The number of hours needed for sleep depends on age, with babies needing an average of 14 to 16 hours of rest daily.

4. In contrast, adults can function on about 6 to 8 hours of sleep.

5. The paragraph mentions that scientists are not completely sure about the specific activities of the brain during sleep periods.

6. However, they do know that the brain sorts and stores information and replaces chemicals when a person sleeps.

Overall, the paragraph discusses the significance of sleep for brain function and highlights that sleep plays a role in information processing and chemical restoration in the brain. The topic sentence sets the stage by emphasizing the importance of sleep for humans' brain functioning, and the subsequent sentences provide additional details and explanations related to the topic.

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