please helpppp 12 points

Addition of vectors:

vector u

has a magnitude of 20 and a direction of 0º with respect to the horizontal, vector v has a magnitude of 40 and a direction of 60º with respect to the horizontal.

a) Find the magnitude and direction of the resultant to the nearest whole

number.

Vector Sum:

The resultant of two vectors is simply the vector sum of the vectors. There are a handful of ways to present the resultant factor; the notation that shows the vector magnitude and direction is called the polar vector notation. An example of a vector presented in polar vector notation is

a∠θ where a is the magnitude and θis the angle that the vector makes with the horizontal axis.

Answer and Explanation:

Let's first present the vectors in rectangular vector notation.

For the vector →u of magnitude 20 and direction 0∘ to the horizontal axis, the vector is →u=^i20.

For the vector →v

of magnitude 40 and direction 60∘ to the horizontal axis, the vector is →v=^i40cos60∘+^j40sin60∘.

The resultant vector →w is the vector sum of the vectors, i.e.

→w=→u+→v

=^i20+^i40cos60∘+^j40sin60∘

=^i(20+40cos60∘)+^j(40sin60∘)

=^i40+^j20√3

For a vector ^ix+^jy, the magnitude of the vector is √x2+y2 and the direction above the horizontal axis is θ=tan−1(yx).

Let's use the formulas:

|→w|∠θ=√(40)2+(20√3)2∠tan−1(20√340)≈52.9∠40.9∘

The magnitude of the vector is about 53 units in the direction 41-degrees above the horizontal axis.

The magnitude of the resultant vector would be 60 units, and its direction will be 0°.

To find the magnitude and direction of the resultant vector when adding vectors u and v, we can use vector addition formulas:

Magnitude of the Resultant Vector (R):

R = √(u^2 + v^2 + 2uv * cosθ)

where:

u = magnitude of vector u (20)

v = magnitude of vector v (40)

θ = angle between vectors u and v (60°)

Plugging in the values:

R = √(20^2 + 40^2 + 2 * 20 * 40 * cos(60°))

≈ √(400 + 1600 + 1600)

≈ √3600

= 60

Direction of the Resultant Vector (θR):

Use the Law of Cosines to find the angle θR between the resultant vector R and vector u:

cosθR = (v^2 + R^2 - u^2) / (2 * v * R)

Plugging in the values:

cosθR = (40^2 + 60^2 - 20^2) / (2 * 40 * 60)

= (1600 + 3600 - 400) / 4800

= 1

Since cos(0°) = 1, we have θR = 0°.

So, the magnitude of the resultant vector is 60 units, and its direction is 0°.

To know more about  magnitude

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Answer:

A star's life expectancy depends on its mass. Generally, the more massive the star, the faster it burns up its fuel supply, and the shorter its life. ... A star with a mass like the Sun, on the other hand, can continue fusing hydrogen for about 10 billion years.

2 minutes is 120 seconds, so if you were finding vibrations per minute, it would be 60 times a minute.

Answer:

A book on a table before it falls.

A yoyo before it is released.

A raised weight.

Explanation:

These are all examples of potential energy. So I hope you can find something that is comparable from the lab.

Answer:

softball＝29.680365296803654

＝29.68/s

horse＝0.8km/m

satellite＝184.028km/m

Explanation:

distance/time

Answer:

Displacement

Explanation:

The definition of speed and the graphical analysis allows to find the result for the question of the meaning of the area under the curve is:

Velocity is defined as the variation of position with respect to time.

      [tex]v = \frac{dx}{dt}[/tex]  

Where v is the velocity, x the displacement and t the time.

If we make a graph of speed versus time, see attached, where we have a diagram of the process.

The expression of the velocity for the case of zero acceleration is

      [tex]v = \frac{\Delta x}{\Delta t }[/tex]  

      Δx = v  Δt

They indicate that the shaded section is under the curve, therefore it is

        Area = Δv Δt

When comparing the two expressions they are equivalent, therefore the area is equal to the distance traveled.

In conclusion, using the definition of velocity and graphical analysis we can find the result for the question of the meaning of the area under the curve is:

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Answer:

Availability of charging

Explanation:

Assuming the car is not a hybrid and your traveling a very long distance far from civilization, you wouldn't be able to charge the car if it runs out of power as no outlets would be around.

Answer:

Barack Hussein Obama II

Explanation:

I think

Answer:

Explanation:

60 times 5=300+24=324

207/324= aveage i dont have a calculator

use the average and mutiple by 88 minutes

Steel-reinforced concrete is a better material for foundation where movement in the ground is envisaged.

The kind of material used for the foundation of a building greatly impacts the ability of that building to cope with movements in the ground such as during earthquakes.

For instance, when the foundation is made of brick or concrete which has a low ductility, these materials are incapable of absorbing a lot of energy. However, steel-reinforced concrete is a better material for foundation where movement in the ground is envisaged.

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Answer:

it just condensed you know it isn't a big deal whatever happens does change anything

sometimes you just gotta take some risks in life. go with that answer

Answer: a tadpole is the first or second step into the evolution for a frog

Explanation: a frog starts with the egg then it becomes a tadpole for 6 to 12 weeks before it can start going out the water.

Answer:

Tadpoles are baby frogs. The tadpole looks like a frog with a tail and becomes a froglet around 12 weeks after hatching. The tadpole becomes an adult frog around 13 to 16 weeks after hatching.

Explanation:

I also attached a photo for you

Brainliest or rating please and thank you

According to who.int,

"The UV region covers the wavelength range 100-400 nm and is divided into three bands: UVA (315-400 nm) UVB (280-315 nm) UVC (100-280 nm).Mar 9, 2016"

in short 100-400nm

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:

you you don't resource easy answer with great your your food look your photo this must be your photo near me pure cal is your office that is meaning of 5 to 10 2 5 10 20 1234 I don't know that time what to Theri 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 and 30 look this that this is wanting if you understand I look this victory 522436 the answer it 12 thankyou

(a)  If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)  if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

The force on an object is determined by applying Newton's second law of motion;

F = ma

[tex]\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}[/tex]

(a)

when the force is halved, F₂ = 0.5F₁,

mass is doubled, m₂ = 2m₁

[tex]\frac{F_1}{m_1a_1} = \frac{0.5F_1}{2m_1a_2} \\\\2m_1a_2F_1 = 0.5F_1 m_1a_1\\\\2a_2 = 0.5a_1\\\\a_2 = \frac{0.5a_1}{2} = \frac{a_1}{2 \times 2} = \frac{a_1}{4} \\\\a_2 = \frac{1}{4} (a_1)[/tex]

Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)

when the force is doubled, F₂ = 2F₁,

mass is halved, m₂ = 0.5m₁

[tex]\frac{F_1}{m_1 a_1} = \frac{2F_1}{0.5m_1 a_2} \\\\0.5m_1a_2 F_1 = 2F_1m_1a_1\\\\0.5a_2 = 2a_1\\\\a_2 = \frac{2a_1}{0.5} \\\\a_2 = 4(a_1)[/tex]

Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

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Explanation:

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Pas 1234

Answer:

Directional hypothesis is an example of a directional research hypothesis.

Explanation:

Directional hypothesis: A directional (or one tailed hypothesis) states which way you think the results are going to go, for example in an experimental study we might say…”Participants who have been deprived of sleep for 24 hours will have more cold symptoms in the following week after exposure to a virus than

Answer:

Explanation: If a net force of 50 N pulls on a 10 kg object, how much acceleration will it cause? Then an answer is possible. Equation: Net force = mass * acceleration.

Answer:

Traditionally, the coaster cars are pulled up the first hill by a chain; as the cars climb, they gain potential energy.  Then, when the cars descend this hill, potential energy is again changed to kinetic energy. This conversion between potential and kinetic energy continues throughout the ride.

Explanation: hi how ya doing  

Explanation:

Force = 150N

Area = 25cm = 25/10000m²

Pressure = F/A = 150/(25/10000) = 1500000/25 = 60000Pa.

hope this helps you.

Answer: (Sorry, but I don't know how to calculate mass)

1. 15 N

2. 0.4921 [tex]\frac{ft}{s^2}[/tex] (feet per second squared)

4. 150 N

5. 8.202 feet per second squared

Answer: W=M*gravity. 90 * 9.8=882N. That is the weight on Earth.

Explanation:

Calculating the weight is W=M*gravity. 90 * 9.8=882N. That is the weight on Earth.

Answer:

198.4 lbs

Explanation:

Vectors need direction and magnitude to exist, otherwise, it becomes scalars that do not require direction to be expressed.

eg - Velocity is a vector as it needs direction, but speed is scalar and does not need direction

hope this helps

Answer:

a. All quantities in physics are not vectors. b. A vector may have either magnitude or direction. c. The vector's length should be proportional to its magnitude. d. Two vectors can be added only if they have the same direction.

Answer:

25.9 g

Explanation:

= 17.35

8.498

________+

= 25.848 g = 25.85 g = 25.9 g

*so sorry if wrong

Answer:

c i think

Explanation: