Adhira loves to ride her bike around the neighborhood. She starts riding 1.2 miles at 30° S of E. Then, she rides another 2.0 miles at 20° W of S. Next, she rides 1.6 miles at 30° S of W. And finally, she rides 2.6 miles at 15° W of N. What is her final displacement from her starting point?

Answers

Answer 1

Answer:

D = 1.8677 miles , θ = 24.28º at South of West

Explanation:

This is an exercise in adding vectors, the easiest way to solve them is to decompose the vectors and add each component algebraically. Let's use trigonometry

first displacement. d = 1.2 miles to 30º south of East

     cos ( 360-30) = cos (-30) = x₁ / d

     sin (-30) = y₁ / d

     x₁ = d cos (-30)

     y₁ = d sin (-30)

     x₁ = 1.2 cos (-30) = 1,039 miles

     y₁ = 1.2 sin (-30) = -0.6 miles

second shift. d = 2.0 miles to 20º West of South

       cos (270-20) = x₂ / d

       cos (250) = y₂ / d

       x₂ = 2.0 cos 250 = -0.684 miles

       y₂ = 2.0 sin250 = -1.879 miles

Third displacement. d = 1.6 miles to 30º South of West

       cos (180 + 30) = x₃ / d

       sin (210) = y₃ / d

       x₃ = 1.6 cos 210 = -1.3856 miles

       y₃ = 1.6 sin 210 = -0.8 miles

Fourth displacement. d = 2.6 miles to 15º West of North

       cos (90 + 15) = x₄ / d

       sin (105) = y₄ / d

       x₄ = 2.6 cos 105 = -0.6729 miles

       y₄ = 2.6 sin 105 = 2,511 miles

having all the components we add

x-axis  (West-East direction)

       X = x₁ + x₂ + x₃ + x₄

       X = 1.039 -0.684 - 1.3846 - 0.6729

       X = -1.7025 miles

   

       Y = y₁ + y₂ + y₃ + y₄

       Y = -0.6 -1.879 -0.8 +2.511

       Y = -0.768

The modulus of this displacement is we use the Pythagorean theorem

      D = √ (X² + Y²)

      D = √ (1.7025² + 0.768²)

      D = 1.8677 miles

let's use trigonometry to find the direction

       tan θ = Y / X

       θ = tan⁻¹ Y / x

       θ = tan⁻¹ (0.768 / 1.7025)

       θ = 24.28º

as the two components are negative this angle is in the third quadrant

therefore in cardinal direction form is

         θ = 24.28º at South of West


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Answers

Answer:

The answer is 180 m

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Hope this helps you

Answer:

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Answers

Answer:

A. The balls stick and move together.

Explanation:

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Answers

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What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

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If someone have weight that is force due to gravity is X than on the sun it will become 28 X.

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Passengers on a carnival ride move at constant speed in a horizontal circle of radius 5.0 m, making a complete circle in 4.0 s. What is the acceleration?​

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Answer:

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You gave it more impulse the second time, so it got more momentum from you.

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Answers

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Answers

Answer:

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Answers

Answer:

B. New cells are created from pre-existing cells in the human body.

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According to the cell theory, the correct assumption from the student's investigation is that "new cells are created from pre-existing cells in the human body".

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Answers

Answer:

Interpersonal skills

Explanation:

Answer:

The right answer is interpersonal skills

Explanation:

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Answer:

Examples of Newton's third law of motion are ubiquitous in everyday life. For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air. Engineers apply Newton's third law when designing rockets and other projectile devices.

Choose all the answers that apply.

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Explanation: i hoped that helped.

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Answers

Answer:

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Answers

Answer:

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A net force of 10.N accelerates an object at 5.0 m/s^2. What net force would be required to accelerate the same object at 1.0 m/s^2?
A.) 1.0 N
B.) 5.0 N
C.) 50. N
D.) 2.0 N

Answers

Answer:

I believe the answer is 2.0

Explanation:

The net force that would be required is 2 N

From the question,

We have that

A net force of 10 N accelerates an object at 5.0 m/s².

To determine the net force that would be required to accelerate the same object at 1.0 m/s²,

First, we will determine the mass of the object

From the Newton's second law of motion, we have that

F = ma

Where F is the force

m is mass

and a is acceleration

From the given information

F = 10N

a = 5.0 m/s²

Putting the above parameters into the formula, we get'

10 = m × 5.0

∴ m = 10 ÷ 5.0

m = 2 kg

∴ The mass of the object is 2kg

Now,

For the net force that would be required to accelerate the same object at 1.0 m/s²,

Using the same formula

F= ma

Here,

a = 1.0 m/s²

and m = 2 kg

∴ F = 2 × 1

F = 2 N

Hence, the net force that would be required is 2 N

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A car increases velocity from 30 m/s to 60 m/s in 4 seconds. Calculate the average acceleration of the car over this time.
0.3 m/s2
7.5 m/s2
0.6 m/s2
4.8 m/s2

Answers

Answer:

B.7.5m/s2

Explanation:

average acceleration=change invelocity/time taken

a=(60-30)/4

=7.5m/s2

The average acceleration of the car 7.5 m/s²

The parameters given in the question are;

initial velocity= 30 m/s

final velocity= 60 m/s

time= 4 seconds

The formula that can be used to calculate the average acceleration is

= final velocity-initial velocity/time

= 60-30/2

= 30/2

= 7.5

Hence the average acceleration is 7.5 m/s²

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HURRY!!

Answers

Answer: D. 28 hours

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The average amount of time an American spends consuming media in a week is 28 hour.

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A net force of 20 N is applied to a 5 kg object. What is the acceleration of the object?

Answers

Answer:

[tex]4ms^{-2}[/tex]

Explanation:

F = ma

Rearrange to get acceleration on its own:

a = [tex]\frac{F}{m}[/tex]

Substitute 20 for F and 5 for m:

a = [tex]\frac{20}{5}[/tex] = 4 meters/second/second

Dr. Aloysius found four homogeneous mixtures, but he thinks that only three are alloys. He tests each one and determines their elemental compositions. Which of the following is not a possible alloy?

A. carbon and boron
B. iron an nickel
C. aluminum and magnesium
D. iron, carbon, and nickel

Answers

Answer:

A. carbon and boron

Explanation:

Carbon and boron is not an alloy.

An allow forms between metals and metals using their huge electron could.

Carbon is a non-metal, boron is a also a non-metal

Two non-metals combining together does not make an alloy.

Iron, nickel, aluminum  are all metals.

Answer:

carbon and boron

Explanation:

carbon and boron

A rock falls off a cliff that is 82 m high. How fast is the rock moving when it hits the ground?

Answers

Answer:

40.1m/s

Explanation:

This is a kinematics problem

x = 82m

a = -9.8m/s^2

v(initial) = 0

Find: v(final)

Using kinematics equation:

vf^2 = vi^2 + 2a(delta)x

vf^2 = 0 + 2*(-9.8)*(82)

vf = sqrt(1607.2) = 40.09m/s

The is traveling with a velocity of 40.1m/s when it hits the ground.

the person is not able to see the far lying object clearly. which type of lens will the doctor prescribe him give reason?

Answers

Answer:

correction of farsightedness uses a converging lenses that compensates for the under convergence by the eye. the converging lens produces an image farther from the eye than the object so that farsighted can see it clearly.

which hygiene step would best help prevent the flu

Answers

Answer:

taking a shower brushing your teeth and washing your hands

Explanation:

Answer:

D. Washing your hands regularly

Explanation:

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