A light beam travels through a diamond (n=2.42) to pure water (n=1.33). The refracted ray will:
a) bend toward the normal
b) bend away from the normal
c) remain unchanged
d) bend toward the normal then away

Answer:

The ideal spring is 0.030 meters above the starting position.

Explanation:

Let consider that spring is modelled by the Hooke's Law, which is represented by the following expression:

[tex]F = k\cdot \Delta x[/tex]

Where:

[tex]F[/tex] - Force exerted on the ideal spring, measured in newtons.

[tex]k[/tex] - Spring constant, measured in newtons per meter.

[tex]\Delta x[/tex] - Spring elongation, measured in meters.

The elongation is now cleared:

[tex]\Delta x = \frac{F}{k}[/tex]

The initial force experimented by the spring is due to the weight of bananas and potatoes.

[tex]F = (m_{b} + m_{p})\cdot g[/tex]

Where:

[tex]m_{b}[/tex], [tex]m_{p}[/tex] - Masses of bananas and potatoes, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If [tex]m_{b} = 1\,kg[/tex], [tex]m_{p} = 2\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]k = 655\,\frac{N}{m}[/tex], the initial elongation of the ideal spring is:

[tex]F = (1\,kg + 2\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 29.421\,N[/tex]

[tex]\Delta x_{o} = \frac{29.421\,N}{655\,\frac{N}{m} }[/tex]

[tex]\Delta x_{o} = 0.045\,m[/tex]

The final elongation is obtained after eliminating the influence of potatoes due to gravity. That is to say:

[tex]F = m_{b}\cdot g[/tex]

[tex]F = (1\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 9.807\,N[/tex]

The final elongation of the ideal spring is:

[tex]\Delta x_{f} = \frac{9.807\,N}{655\,\frac{N}{m} }[/tex]

[tex]\Delta x_{f} = 0.015\,m[/tex]

The displacement of the spring due to the removal of potatoes is:

[tex]d = \Delta x_{o} - \Delta x_{f}[/tex]

[tex]d = 0.045\,m-0.015\,m[/tex]

[tex]d = 0.030\,m[/tex]

The ideal spring is 0.030 meters above the starting position.

Explanation:

A carpet absorbs sound making the room quieter. A wooden floor reflects sound making it louder. ... The carpet surface absorbs some of the sound, making the room less “live.”

Answer:

[tex] \boxed{\sf Magnification \ (m) = 2} [/tex]

Given:

Object distance (u) = 25.0 cm

Image distance (v) = -50.0 cm

To Find:

Magnification (m)

Explanation:

[tex]\boxed{\bold{\sf Magnification \: (m) = - \frac{Image \: distance \: (v)}{Object \: distance \: (u)}}}[/tex]

Substituting values of Image distance(v) & Object distance (u) in the equation:

[tex] \sf \implies m = - \frac{( - 50)}{25} [/tex]

-(-50) = 50:

[tex]\sf \implies m = \frac{50}{25} [/tex]

[tex]\sf \implies m = \frac{2 \times \cancel{25}}{ \cancel{25}} [/tex]

[tex]\sf \implies m = 2[/tex]

Answer:

+2

Explanation:

m = -di/do

m = -(-50)/25 = 2

Answer:

a) KINETIC ENERGY   K = 0.045 J , b) POTENTIAL ENERGY  U = 0.196 J ,

c)  KINETIC ENERGY  K = 9.45 10⁵ J, d) POTENTIAL ENERGY ,    U = 41.16 J ,

e) POTENTIAL ENERGY  U = 154.84 J , f)  ENERGY IS POTENTIAL    U = 9.31 J

g) energy is POTENTIAL   U = 189.336 J

Explanation:

a) The ball is moving with a speed, so it has KINETIC ENERGY

          K = ½ m v²

          K = ½ 10 10⁻³ 3²

          K = 0.045 J

b) The ball is at a given height therefore it has POTENTIAL GRAVITATORY ENERGY

           U = m g y

           U = 10 10-3 9.8 2

           U = 0.196 J

c) The ball has speed so it has KINETIC ENERGY

           K = ½ m v²

           K = ½ 2,100 30²

           K = 9.45 10⁵ J

d) The baby carriage is at a height whereby the POTENTIAL ENERGY

           U = mg h

           U = 0.200 9.8 21

           U = 41.16 J

e) the concrete block is at a height that has POTENTIAL ENERGY

           U = m g h

           U = 0.790 9.8 20

           U = 154.84 J

f) the hood has height, the ENERGY IS POTENTIAL

           U = 0.190 9.8  5

           U = 9.31 J

g) The roller coaster has height and speed, therefore the mechanical energy has a scientific part and a potential part, in general the speed at the top of the mountain is very small, so we can consider that almost all the energy is POTENTIAL

The value they give allows calculating the potential energy

            U = 9.660 9.8 2

            U = 189.336 J

The answer to all the questions on potential energy and kinetic energy have been done below;

A) We are told that the ball is rolling. An object in motion has kinetic energy. Formula for kinetic energy is;

K =  ½mv²

We have; m = 10 g = 0.01 kg and v = 3 m/s

K = ½ × 0.01 × 3²

K = 0.045 J

B) We are told that the ball is held at a height. This means it is at rest and any object at rest has Potential Energy. Formula for potential energy is;

PE = mgh

We have; m = 10g = 0.01 kg and h = 2 m

PE = 0.01 × 9.8 × 2

PE = 0.196 J

C) Like in A above, the ball is in motion. Thus, it has kinetic energy.

K = ½ × 2.1 × 30²

K = 945 J

D) The baby carriage is sitting at rest and therefore has potential energy.

PE = 0.2 × 9.8 × 21

PE = 41.16 J

E) The toy car is in motion and has kinetic energy. Thus;

K = ½ × 1.12 × 4²

K = 8.96 J

F) The cinder block is sitting at rest and has potential energy. Thus;

PE = 0.79 × 9.8 × 20

PE = 154.84 J

G) The bell is at the top of the tower and is at rest and thus has potential energy.

PE = 0.19 × 9.8 × 5

PE = 9.31 J

g) The rollercoaster is at the top at rest and so has potential energy.

PE = 9.66 × 9.8 × 2

PE = 189.336 J

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[tex] \LARGE{ \underline{ \blue{ \tt{Required \: answers}}}}[/tex]

First of all,

We have,

➝ Angle of reflection = 35°

(a) According to law of reflection,

Angle of incidence = Angle of reflection

➝ Angle of incidence = 35°

(b) By using formula,

Angle of Deviation = 180° - 2(Angle of incidence)

From (a),

➝ Angle of Deviation = 180° - 2(35°)

➝ Angle of Deviation = 180° - 70°

➝ Angle of Deviation = 110°

(c) We know,

Angle of Incidence + Glance angle of incidence = 90°

Angle of reflection + Glance angle of reflection = 90°

So,

As angle of incidence = angle of reflection

Then, Angle of glance is also equal.

➝ Angle of glance = 90° - 35° = 55°

━━━━━━━━━━━━━━━━━━━━

Answer:

Many types of scientific equipment are used to perform different functions in the science lab. Which of the following combinations of equipment would be needed to bring one liter of water to 85°C? a. ... Various pieces of safety equipment are used in the lab to provide protection against injury.

Explanation:

Answer:

the correct answer is C

Explanation:

When we express that the scale is 1:30 we mean that the objects of the realization are reduced by a factor of 30 in the graph, for example a distance of 30 cm in the graph is represented by a distance of 1 cm.

Therefore something that in the graph has n value to bring it to real size must be multiplied by the scale.

Applying this to our case if there is

               10 boulder on the chart

in reality there are #_boulder = 10 30

                                #_boulder = 300 boulder

so the correct answer is C

Explanation:

The relative velocity is the velocity of the athlete relative to the ground plus the velocity of the javelin relative to the athlete.

v = 4.2 m/s + 10.3 m/s

v = 14.5 m/s

The relative velocity of the javelin relative to the ground be 14.5 m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Velocity of the athlete: u = 4.2 m/s

Velocity of the javelin related to him: v = 10.3 m/s.

The relative velocity  of the javelin relative to the ground is the velocity of the athlete relative to the ground plus the velocity of the javelin relative to the athlete.

So, The relative velocity of the javelin relative to the ground is:

V = 4.2 m/s+ 10.3 m/s

⇒ V= 14.5 m/s

Hence, the relative velocity of the javelin relative to the ground be 14.5 m/s.

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Answer:

Different wavelengths of light also have different frequencies, so the "individual" waves of light are different.

So when you see a given spectra, you are actually watching a superposition of different light waves, and as the waves do not interact that much between them, you can see the different colors.

You can think this similarly as the case with two different sound waves, one high in pitch, and another low.

You can easily identify them, as they do not collide between them.

Now, if you are asking "why the spectrum has different colors".

This is because the levels of energy in each element are different, the outer electrons have weaker bonds, so they will emit photons with less energy (larger wavelength) and so on.

So there are multiple wavelengths because electrons with stronger and weaker bonds are jumping between states at the same time.

Answer: 1,898 • 10^27 kg

Explanation:

A pex

The mass of Jupiter can be expressed in scientific notation as 1.898 ×10²⁷ Kg. Therefore, option (A) is correct.

Scientific notation can be described as a form of representing very large numbers in a simpler form. As we know, whole numbers can be extended to infinity, but we cannot write such numbers on a piece of paper.

Scientific notation helps us to represent the numbers that are very huge in a form of multiplication of single-figure numbers and 10 raised to the power of the respective exponent.

To determine the exponent of 10, we should follow the rule such as the base must be always 10. The exponent should be a non-zero integer, which means it can be either positive or negative.

The absolute value of the coefficient should be greater than or equal to 1 but it must be less than 10.

Given the number is 1,898,000,000,000,000,000,000,000,000 Kg can be written as 1.898 ×10²⁷ Kg in scientific notation.

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Answer:

4 m/s

Explanation:

Given:

Δx = 39 m

a = 6 m/s²

t = 3 s

Find: v₀

Δx = v₀ t + ½ at²

39 m = v₀ (3 s) + ½ (6 m/s²) (3 s)²

v₀ = 4 m/s

Answer:

The time taken is missing in the question. The time is 18 minutes.

The answer is 34.3 km/hr

Explanation:

Average velocity is the speed or the velocity which is required to cover a distance in a time interval.

The time taken is = 18 min

                            = 18/60 hours

The distance from the university to her home is = 10.3 km

Therefore, the average velocity is = displacement/time taken

                                                         = 10.3 / (18/60) km/hr

                                                         = 34.3 km/hr

Hence, the average velocity is 34.3 km/hr

Answer:

The number of protons in an atom of an element is unique to each element. A proton in an atom of one element is identical to a proton in an atom of another element. The number of protons in an atom of an element is the same for all elements.

Explanation:

The force between two bodies is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]

And this force is called the gravitational force

r is the distance between bodies

G is universal gravitational constant

[tex]G=\dfrac{Fr^2}{m_1m_2}[/tex]

SI unit of force is Newton or N

SI unit of r is meter or m

The SI unit of m₁ and m₂ is kg

[tex]G=\dfrac{\text{Nm}^2}{\text{kg}^2}\\\\G=Nm^2kg^{-2}[/tex]

Newton = kg m/s²

So,

[tex]G=\dfrac{kgm^3}{s^2kg^2}\\\\G=kg^{-1} m^3s^{-2}[/tex]

Hence, this is the required solution.

Answer:

Mass of chips: Gram ( g )

Your mass: Kilogram ( kg )

Answer:

-36 m

Explanation:

In the diagram, the front of the black car is used as reference point which is point 0. The distance from the black car to the front of the red car is 15 m while the distance from the black car to the white van is - 21 m. The negative sign means the white van is behind the black car.

If the red car is used as the reference (point 0), the distance from the black car to the red car would be -15 m and the distance from the black car to the white van would be -21 m. Hence:

Distance from red car to white van = distance from the black car to the red car  + distance from the black car to the white van = -15 + (-21)

Distance from red car to white van = -15 - 21 = -36 m

Answer:

The answer is -36

Explanation:

Answer:

2.5N

Explanation:

since force is inversely proportional to square of the distance apart. that means the ratio of distance apart. so u have 12800×12800÷(6400××6400)=4/1

so the weight will be reduced to 1/4 of 10N

Explanation:

According to Conservation of Linear Momentum :

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

[tex]0.05 \times 0.6 + 0.03 \times 0 = 0.05 \times - 0.2 + 0.03 \times v_2[/tex]

[tex]0.04 = 0.03v_2[/tex]

Velocity of marble B after collision = 1.33 m/sec

Answer:

no

Explanation:

Answer:

Elisa

Explanation:

I I agree with her because when you're at the top of the ramp you are going down and you are going to go down in an exact fast speed so you do have more energy and momentum at the top of the ramp

Explanation:

Momentum = mass × speed

p = (30 kg) (3 m/s)

p = 90 kg m/s

Answer:

y = m λ L / d

must use lasers of greater wavelength

Explanation:

The expression for the constructive interference of a double slit is

           d sin θ = m λ

let's use trigonometry to find the angle

          tan θ = y / L

in interference phenomena the angles are small

         tan θ= sin θ/ cos θ = sin θ

         sin θ = y / L

we subjugate

         d y / L = m λ

         y = m λ L / d

In this expression we see that the separation of the lines (and) increases linearly with the wavelength, therefore we must use lasers of greater wavelength

Answer:

D

Explanation:

Answer

Its D

Explanation:

Answer:

common glass

Explanation:

Answer:

Phones as sunglasses with a mic. I put on my glasses and I say what's the weather today, The sunglasses will tell me the weather and can be charged just like phones

Explanation:

The joule is a derived unit of energy in the International System of Units. It is equal to the energy transferred to an object when a force of one newton acts on that object in the direction of the force's motion through a distance of one metre.

Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.

Answer:

farad

Explanation:

The farad (symbol: F) is the SI derived unit of electrical capacitance, the ability of a body to store an electrical charge. It is named after the English physicist Michael Faraday. hope this helps you :)

Answer:

[1, 6, -2]

Explanation:

Given the following :

Initial Position of spaceship : [3 2 4] km

Velocity of spaceship : [-1 2 - 3] km/hr

Location of ship after two hours have passed :

Distance moved by spaceship :

Velocity × time

[-1 2 -3] × 2 = [-2 4 -6]

Location of ship after two hours :

Initial position + distance moved

[3 2 4] + [-2 4 -6] = [3 + (-2)], [2 + 4], [4 + (-6)]

= [3-2, 2+4, 4-6] = [1, 6, -2]

The location of the spaceship after 2 hours have passed is [1, 6, -2]

Since

Initial Position of spaceship : [3 2 4] km

Velocity of spaceship : [-1 2 - 3] km/hr

Now

Location of the ship after two hours should have passed

So,

Distance moved by spaceship should be

= Velocity × time

= [-1 2 -3] × 2

= [-2 4 -6]

Now

Location of ship after two hours should be

= Initial position + distance moved

= [3 2 4] + [-2 4 -6]

= [3 + (-2)], [2 + 4], [4 + (-6)]

= [3-2, 2+4, 4-6]

= [1, 6, -2]

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Answer:

[tex]\Huge \boxed{\mathrm{13.5 \ Joules}}[/tex]

Explanation:

[tex]\sf Kinetic \ energy \ (J)=\frac{1}{2} \cdot mass \ (kg) \cdot (velocity \ (m/s)) ^2[/tex]

[tex]\mathrm{KE=\frac{1}{2} mv^2}[/tex]

The mass of the ball is 3 kg.

The velocity of the ball rolling is 3 m/s.

[tex]\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 3^2}[/tex]

Evaluating and solving for kinetic energy.

[tex]\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 9}[/tex]

[tex]\mathrm{KE=\frac{1}{2} \cdot 27}[/tex]

[tex]\mathrm{KE} =13.5[/tex]

The kinetic energy of the ball is 13.5 Joules.

Answer:

Kinetic energy =1/2mv^2.

1/2×3×3^2.

1/2×27=13.5 or 13 whole number 1/2.

Answer:

 w = 2w₀     the angular velocity of man doubles

Explanation:

In this exercise, releasing the weights reduces the moment of inertia

       I= I₀ / 2

Therefore, since the platform system plus man is isolated, the kinetic moment must be conserved

         L₀ = L

       I₀ w₀ = I w

       I₀ w₀ = I₀ / 2 w

       w = 2w₀

therefore the angular velocity of man doubles