In Fig. 23-45, a small circular hole of radius R = 1.80 cm has been cut in the middle of an infinite, flat, nonconducting surface that has uniform charge density σ = 4.50 pC/m2 . A z axis, with its origin at the hole’s center, is perpendicular to the surface. In unitvector notation, what is the electric field at point P at z = 2.56 cm?

Answer: pebble has the greatest value of acceleration due to its low mass.

Explanation:

According to newton's second law of motion,

Force = mass × acceleration

For boulder,

Acceleration = Force/mass

Force acting on boulder is 200N

Its mass is 100kg

Acceleration = 200/100

Acceleration = 2m/s²

Similarly for pebble,

Force on pebble = 200N (the same as boulder)

Its mass is 130g = 0.13kg(has to be converted to the standard unit which is kg)

Its acceleration = 200/0.13

Acceleration of pebble = 1538.5m/s²

Since the question doesn't specify what to compare, we will compare their accelerations.

Therefore, pebble has the greatest value of acceleration due to its low mass.

Answer:

a) Emission

b) Reflection

c) Absorption

d) Transmission

Explanation:

a) The screen of computers (most of them LED or LCD) are a bunch of tiny lights that take power of our pc to produce light so they EMMIT light.

b) Sun's light contains all the visible colors of electromagnetic spectrum, when sun light hits an object, due their chemical characteristics the object absorbs a bunch of wavelengths and reflects others, the reflected light is the color we perceive with our eyes. So, for a banana, it absorbs almost all the other colors and reflects only yellow light.

c) As explained on b) a banana absorbs all the other colors except yellow so blue is absorbed on it.

d) When a light hits transparent medium, some rays are reflected and other passes through the medium so that rays are called transmitted and  that is the case of Sunlight passing through a glass door.

Final answer:

Correct words are emission for light from a computer screen, reflection for yellow light on a banana, absorption for blue light on a banana, and transmission for sunlight through a glass door. These terms describe how light interacts with different materials through emission, reflection, absorption, and transmission.

Explanation:

From the list of terms provided, the correct words to complete the statements about the behavior of light are:

a. Light coming from your computer screen is an example of emission.

b. Yellow light hitting a yellow banana is an example of reflection.

c. Blue light hitting a yellow banana is an example of absorption.

d. Sunlight passing through a glass door is an example of transmission.

When we talk about light waves interacting with materials, we discuss concepts such as reflection, absorption, and transmission. Reflection occurs when light bounces off an object, such as a yellow light reflecting off a yellow banana. Absorption occurs when an object takes in the light energy, which might later be transformed into other forms of energy like heat, as is the case when a yellow banana absorbs blue light. Lastly, transmission refers to the passage of light through a transparent or semi-transparent material, such as sunlight passing through a glass door.

Answer:

Radio Waves:

Radio waves being the lowest-energy form of light and are known to be produced by electrons spiraling around magnetic fields. These Magnetic fields are generated by stars, including our sun, and many weird celestial objects like black holes and neutron stars.

Explanation:

All electromagnetic radiation is light, but we can only see a small portion of this radiation that is the portion we call visible light. Cone-shaped cells in our eyes act as receivers tuned to the wavelengths in this narrow band of the spectrum

Visible light and radio waves are both examples of electromagnetic waves, but visible light has shorter wavelengths that our eyes can detect, while radio waves have longer wavelengths that are outside the range of what our eyes can see.

Visible light and radio waves are both examples of electromagnetic waves, but they have different wavelengths. Visible light has a shorter wavelength than radio waves, which is why we can see it. Our eyes are sensitive to the wavelengths of visible light, but not to the longer wavelengths of radio waves.

The human eye can detect wavelengths within a certain range, known as the visible spectrum, which includes the colors of the rainbow. Radio waves have much longer wavelengths, ranging from meters to kilometers. These longer wavelengths are outside the range of what our eyes can detect, so we cannot see radio waves.

However, even though we can't see radio waves, we can still use them for various purposes, such as wireless communication, radar, and satellite transmission.

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Answer:

0.62 s

Explanation:

given,

maximum height of the flea = 0.49 m

velocity at maximum height = 0 m/s

now, calculating initial velocity

using equation of motion

[tex]v^2 = u^2 + 2 g h[/tex]

[tex]0^2 = u^2 - 2\times 9.8 \times 0.49[/tex]

[tex]u^2 = 9.604[/tex]

[tex]u = 3\ m/s[/tex]

now, calculating time he take to reach at the highest point

v = u + g t

0 = 3 - 9.8 x t

9.8 t = 3

t = 0.31 s

Time it will be in air will be twice the time it took to reach to the maximum height.

Time for which it was in air = 2 x 0.31 s = 0.62 s

Answer:

Maximum velocity of rod will be equal to 26.315 m/sec

Explanation:

We have given voltage of the battery in the circuit V = 3.3 volt

Magnetic field B = 0.66 Tesla

Length of the rod l = 0.19 m

We know that emf is given by e = BVl

We have to find the maximum velocity of the rod

Here velocity is maximum

So [tex]e=v_{max}Bl[/tex]

So [tex]3.3=v_{max}\times 0.66\times 0.19[/tex]

[tex]v_{max}=26.315m/sec[/tex]

So maximum velocity of rod will be equal to 26.315 m/sec

Answer:

C. R1 only

Explanation:

As the wire is cut at x, there will be no current through the resistors R2 and R3. Then the current will only go from a to b through the R1 resistor.

Another way to think about this is that once the wire is cut at x, there is now infinite resistance at the point of cutting; therefore, the current can no longer flow through R2 and R3 resistors, but now it only flows through the R1 resistor.

Therefore, only choice C is correct.

Answer:

[tex]\displaystyle V_l=V\ \frac{\rho_o -\rho_w }{\rho_l-\rho_w}[/tex]

Explanation:

Density

It's a physical magnitude that relates the mass of an object with the volume it occupies. The formula is

[tex]\displaystyle \rho = \frac{m}{V}[/tex]

Equivalently

[tex]m=\rho V[/tex]

The density of water is 1 gr/ml, 1 Kg/lt, 1000 kg/m^3 or any equivalent unit.  

Assume the wood sphere has a volume V and a density [tex]\rho_w[/tex], thus

[tex]m_w=\rho_w V[/tex]

A hole is to be drilled inside the wood so it means part of its volume will be filled with lead, which mass will be

[tex]m_l=\rho_l V_l[/tex]

The volume of wood is the total volume V minus the (unknown) volume of lead, thus

[tex]V_w=V-V_l[/tex]

The total mass of the modified sphere is

[tex]m_s=m_w+m_l=\rho_w V_w+\rho_l V_l[/tex]

Substituting Vw

[tex]m_s=m_w+m_l=\rho_w (V-V_l)+\rho_l V_l[/tex]

Operating

[tex]m_s=m_w+m_l=\rho_w V-\rho_w V_l+\rho_l V_l[/tex]

[tex]m_s=m_w+m_l=\rho_w V+ V_l(\rho_l -\rho_w)[/tex]

The total volume of the sphere doesn't change, which means  

[tex]V_s=V[/tex]

The new density of the modified sphere is

[tex]\displaystyle \rho_s = \frac{m_s}{V}[/tex]

[tex]\displaystyle \rho_s = \frac{\rho_w V+ V_l(\rho_l -\rho_w)}{V}[/tex]

This density must be equal to the density of water [tex]\rho_o[/tex]

[tex]\displaystyle \rho_o = \frac{\rho_w V+ V_l(\rho_l -\rho_w)}{V}[/tex]

Operating and solving for vl

[tex]\displaystyle V_l=\frac{\rho_o V-\rho_w V}{\rho_l-\rho_w}[/tex]

Or equivalently

[tex]\displaystyle \boxed{V_l=V\ \frac{\rho_o -\rho_w }{\rho_l-\rho_w}}[/tex]

The equation would be enough for the volume of wood to keep the sphere neutrally buoyant would be [tex]Vt= Vp0-Pw/Pt-Pw[/tex]

The formula for the physical magnitude is p= m/v

Given that the density of water is 1 gr/ml, 1 Kg/lt, 1000 kg/m^3 or any equivalent unit.  

We would assume the wood sphere has a volume V and a density Pw,

[tex]Mw= PwV[/tex]

Since a hole is to be drilled inside the wood so it means part of its volume will be filled with lead, the mass will be [tex]Mt= PtVt[/tex]

The volume of wood is the total volume V minus the (unknown) volume of lead, thus

[tex]Vw= V- Vt[/tex]

Hence, after further evaluation, the density would be [tex]Vt= V Po- Pw/Pt- Pw[/tex]

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Answer:

2.5m

Explanation:

PE = MGH

50 = 2*10*H

50 = 20H

H = 2.5m

The angles to the incident direction are the boats inside the harbor most protected against wave action will be  23.57 °

Diffraction is the phenomenon that occur when a wave of light encounter an obstacle or a slit generally.

considering wide opening of harbor as thickness d

the ocean wave as light source (coherent )

boats inside the harbor as screen where diffraction pattern is going to happen

so , destructive interference  should happen (to minimize the amplitude of wave ) in order to save the boats from its effect

n * lambda = d sin (theta )

n=1  ( first  order minima )

sin(theta ) = lambda / d

sin( theta ) = 20 /50

sin(theta) = 2/5

theta = sin inverse (2/5)

theta = 23.57 °

The angles to the incident direction are the boats inside the harbor most protected against wave action will be  23.57 °

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Answer:

b c and e

Explanation:

Answer: C, D, and E are all molecules!

Answer:k = 10.83 N/m²

Explanation: The angular frequency (ω), spring constant (k) and mass is related by the formulae below

ω = √k/m

But ω = 2πf, where f = frequency.

f = number of oscillations /time taken

Number of oscillations = 14, time taken = 11s

f = 14/11 = 1.27Hz.

ω = 2×22/7×1.27

ω = 7.98 rad/s.

By substituting this parameters into ω = √k/m

Where ω = 7.98rad/s, m = 170g = 170/1000 = 0.17kg.

7.98 = √k/0.17

By squaring both sides

(7.98)² = k/ 0.17

k = (7.98)² × 0.17

k = 10.83 N/m²

Final answer:

To find the spring constant (k) of the spring system, we use the period of oscillation formula. After calculating the period of one oscillation (T = 0.7857 s), we solve for k = m/(T/2π)^2 and find that k is approximately 44.1 N/m.

Explanation:

The student asked how to find the spring constant of a spring if a 170 g air-track glider is attached to it, pushed in 11.2 cm, released, and makes 14 oscillations in 11.0 seconds. The spring constant (k) can be found using the formula for the period of a mass-spring system (T = 2π√(m/k)) where m is mass and k is the spring constant.

First, calculate the period of one oscillation by dividing the total time by the number of oscillations: T = 11.0 s / 14 = 0.7857 s.  Then rearrange the period formula to solve for k: k = m/(T/2π)2. Convert the mass to kilograms (m = 0.170 kg) and substitute the values to calculate k.

Doing the calculation: k = 0.170 kg / (0.7857 s / 2π)2 gives us the spring constant k. Upon solving, we find that the spring constant is approximately 44.1 N/m.

Answer

given,

initial speed = 18 m/s

distance, d = 130 m

reaction time, t_r = 0.50 s

a) distance traveled in the reaction time

   d= s x t_r

   d=18 x 0.5

  d = 9 m

distance of the traffic light, d = 130 - 9 = 121 m

b) deceleration

  [tex]a = \dfrac{v^2-u^2}{2s}[/tex]

  [tex]a = \dfrac{0^2-18^2}{2\times 121}[/tex]

         a = -1.34 m/s²

c) Using equation of motion

   v = u + a t

   0 = 18 - 1.34 t

    t = 13.43 s

Total time, T = 13.43 + 0.5 = 13.93 s

Part A. The distance from the intersection is 121 m.

Part B. The acceleration required is 1.34 m/s2

Part C. The total time to stop at the signal is 13.93 s.

Given that the initial speed is 18 m/s. The distance is 130 m from an intersection when the traffic light turns red. The rejection time is 0.50 s.

Part A

The distance traveled in rejection time is given below.

distance traveled in rejection time =  speed [tex]\times[/tex] rejection time

[tex]d_r = s\times t_r[/tex]

[tex]d_r = 18\times 0.50[/tex]

[tex]d_r = 9\;\rm m[/tex]

Hence the distance from the traffic light is given below.

[tex]d = 130 -d_r[/tex]

[tex]d = 130 -9[/tex]

[tex]d = 121\;\rm m[/tex]

The distance from the intersection is 121 m.

Part B

The acceleration can be calculated as given below.

[tex]a = \dfrac {v^2 - u^2}{2s}[/tex]

Where u is the initial speed, v is the final speed and s is the distance from the intersection.

[tex]a = \dfrac {0^2 - (18)^2}{2\times 121}[/tex]

[tex]a = - 1.34 \;\rm m/s^2[/tex]

The acceleration required is 1.34 m/s2. Here negative sign shows that this is deacceleration.

Part C

The time to stop at the signal can be calculated as given below.

[tex]v = u +at[/tex]

[tex]0 = 18 - 1.34 \times t[/tex]

[tex]t = \dfrac {18}{1.34}[/tex]

[tex]t = 13.43 \;\rm s[/tex]

Total Time = [tex]13.43 + 0.5[/tex]

Total Time =  13.93 s

Hence the total time to stop at the signal is 13.93 s.

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Answer: Blanks in order are: Right, Left

Explanation:

The moon rotates around the Earth. It completes its rotation in roughly 29.5 days which is known as the lunar cycle. The first half of rotation is known as waxing and in this the moon starts to become a full moon so bright side of the moon appears on the left side of Earth. After this ends, the waning part starts which means the decreasing of light of moon so bright side is on the left side of the Earth.

During the first half of the lunar cycle, the bright part of the moon (waxing moon) appears on the right side and after the full moon, the lit part of the moon (waning moon) appears on the left side.

According to the animation, in the first half of the lunar cycle, the waxing, or growing, bright part of the moon appears on the right side (from an observer in the northern hemisphere). This phase is known as a waxing moon. After the full moon when the moon starts to shrink, or wane, the illuminated part of the moon appears on the left side. This phase is known as a waning moon.

ANSWER: 2 hours

EXPLANATION: After three hours Austin has traveled 12 miles. Wyatt will start up and in an hour will be at 10 miles, but by that time Austin will be at 16 miles. One more mile and Wyatt will be at 20 miles and so will Austin. So that would make the answer 2 hours.

Answer:

-5.9 rad/s^{2}

Explanation:

radius (r) = 30 cm = 0.3 m

mass (m) = 1.05 kg

initial speed (u) = 77 rpm

final speed (v) = 0 rpm

time (t) = 1.37 s

angular acceleration =[tex]\frac{(final speed-initial speed)rad/s}{time}[/tex]

therefore

initial speed (U) = 77 rpm = 77 x (2π/60) = 8.06 rad/s

final speed (v) = 0 rpm = 0 rad/s

angular acceleration = [tex]\frac{0-8.06}{1.37}[/tex] = -5.9 rad/s^{2}

Answer:

-5.886 rad/s^2.

Explanation:

radius, r = 30 cm

= 0.3 m

mass, m

= 1.05 kg

initial speed, wo = 77 rpm

Converting from rpm to rad/s,

= 77 rpm * 2pi rad * 1 min/60 s

= 8.063 rad/s

final speed, wi = 0 rad/s

time, t = 1.37 s

angular acceleration = Δw/Δt

= (wi - wo)/t

= 8.063/1.37

= -5.886 rad/s^2.

Answer:

784 N.

Explanation:

The expression for the Normal reaction acting on a body inside an elevator that is moving upward is given as

R = m(g+a)................. Equation 1

Where R = normal reaction, g = acceleration due to gravity, a = acceleration, m = mass .

Given: m = 70 kg, a = 2 m/s²

Constant: g = 9.8 m/s²

Substitute into equation 1

R = 70(2+9.2)

R = 70(11.2)

R = 784 N.

Hence the normal force = 784 N.

Answer:

The amplitude of wave increases by a factor of 20

Explanation:

The Sound level in decibel β is described as

[tex]\beta =(10dB)log(\frac{I}{I_{o} })[/tex]

Where I₀=10⁻¹²W/m² is reference intensity

Suppose β₁ is initial sound intensity and β₂ is final sound intensity.Therefore the change in sound intensity is given as

β₁-β₂=26.0 dB

[tex](10dB)log(\frac{I_{2} }{I_{o}} )-(10dB)log(\frac{I_{1} }{I_{o}} )=26.0dB\\(10dB)[log(\frac{I_{2} }{I_{o}} )-log(\frac{I_{1} }{I_{o}} )]=26.0dB\\log(\frac{\frac{I_{2}}{I_{o}} }{\frac{I_{1}}{I_{o}} })=\frac{26dB}{10dB}\\ log\frac{I_{2}}{I_{1}}=2.6\\ \frac{I_{2}}{I_{1}}=10^{2.6}[/tex]

The intensity of sound is directly proportional to the amplitude of wave squared

So

I∝A²

[tex]\frac{I_{1}}{I_{2}}=(\frac{A_{1}}{A_{2}})^{2}\\ (\frac{A_{1}}{A_{2}})=\sqrt{(\frac{I_{1}}{I_{2}})}\\ (\frac{A_{2}}{A_{1}})=\sqrt{(\frac{I_{2}}{I_{1}})}\\ (\frac{A_{2}}{A_{1}})=\sqrt{10^{2.6} }\\ (\frac{A_{2}}{A_{1}})=20[/tex]

Therefore the amplitude of wave increases by a factor of 20

Answer: c*m on now

Explanation:

u dumb b***h

To find the magnitude and direction of the resultant vector R, we can use graphical methods. First, find the components of vectors A and B along the x and y axes. Then, use the Pythagorean theorem to find the magnitude of R and the inverse tangent function to find the direction of R.

To find the magnitude and direction of the resultant Vector B, with a magnitude of 4 units, points along the negative y-axis, so its x-component is 0 and its y-component is -4.

To find the components of R, we can simply add the corresponding components of A and B: Rx = Ax + Bx

= 3 + 0 = 3, Ry = Ay + By = 0 + (-4) = -4.

Using the Pythagorean theorem, we can find the magnitude of R: R = sqrt(Rx^2 + Ry^2)

= sqrt(3^2 + (-4)^2) = sqrt(9 + 16) = sqrt(25) = 5 units.

To find the direction of R, we can use the inverse tangent function: Rtheta = atan(Ry/Rx)

= atan((-4)/3)

= atan(-4/3) = -53.13 degrees.

However, since vector B points along the negative y-axis, the direction of R is 90 degrees minus the calculated angle: Rtheta = 90 - 53.13 = 36.87 degrees.

Therefore, the magnitude of R is 5 units and it points at an angle of 36.87 degrees north of the x-axis.

Answer:

In The Funeral of St. Bonaventure, Francisco de Zurbarán used the principle of _contrast_ to create emphasis and focal point

Explanation:

Contrast relates to the combination of opposing components and effects as an art theory. Lighter and darker colours, polished and rough materials, large and small shapes. Contrast can be used for the production of diversity visual interest and excitement.

Answer:

v = 11.0 m/s at 198.6° (18.6° south of west)

ΔKE = -145 kJ

Explanation:

I assume you want to find the final velocity and the change in kinetic energy.

Take east to be +x and north to be +y.

Momentum is conserved in the x direction:

(1050 kg) (0 m/s) + (750 kg) (-25.0 m/s) = (1050 kg + 750 kg) vₓ

vₓ = -10.4 m/s

Momentum is conserved in the y direction:

(1050 kg) (-6.00 m/s) + (750 kg) (0 m/s) = (1050 kg + 750 kg) vᵧ

vᵧ = -3.50 m/s

The magnitude of the final velocity is:

v² = (-10.4 m/s)² + (-3.50 m/s)²

v = 11.0 m/s

The direction of the final velocity is:

θ = atan(-3.50 m/s / -10.4 m/s)

θ = 198.6°

The initial kinetic energy is:

KE₀ = ½ (1050 kg) (6.00 m/s)² + ½ (750 kg) (25.0 m/s)²

KE₀ = 253,275 J

The final kinetic energy is:

KE = ½ (1800 kg) (11.0 m/s)²

KE = 108,682 J

The change in kinetic energy is:

ΔKE = 108,682 J − 253,275 J

ΔKE ≈ -145,000 J

Answer:

XeF₄

Explanation:

Dalton law's of partial pressure states that the total pressure equal to the sum of the partial pressure of the individual gases that make up the mixture.

Pt = Pxe + Pf₂

0.72 = 0.12 + Pf₂

0.72 - 0.12 =  Pf₂

0.60 atm = Pf₂

after the the reaction was complete, the pressure of F₂ remaining = 0.36 atm

pressure of the consumed F₂ = 0.60 - 0.36 = 0.24 atm

Pxe / total pressure = number of mole / total number of mole of gas present

0.24 / 0.72 = nf / nt

0.12 / 0.72 = nxe / nt

comparing the two

(1/ 3) / ( 1/6) = (nf/ nt) / ( nxe/ nt)

nf / nxe = 2 / 1

the emperical formula = XeF₄

The empirical formula of the xenon fluoride is :

 -XeF₄

It states that the Total pressure break even with to the whole of the fractional weight of the person gasses that make up the blend.

Pressure of F₂ remaining = 0.36 atm

Pressure of the consumed F₂ = 0.60 - 0.36 = 0.24 atm

Pxe / total pressure = number of mole / total number of mole of gas present

0.24 / 0.72 = nf / nt

0.12 / 0.72 = nxe / nt

comparing the two:

(1/ 3) / ( 1/6) = (nf/ nt) / ( nxe/ nt)

nf / nxe = 2 / 1

The emperical formula = XeF₄

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Answer:

Explanation:

Given

Train travels towards south with a velocity if [tex]v_t=25\ m/s[/tex]

Rain makes an angle of [tex]\theta =66^{o}[/tex]  with vertical

If an observer sees the drop fall perfectly vertical i.e. horizontal component of rain velocity is equal to train velocity

suppose [tex]v_r[/tex] is the velocity of rain with respect to ground then

[tex]v_r\sin\theta =v_t[/tex]

[tex]v_r\times \sin (66)=25[/tex]

[tex]v_r=27.36\ m/s[/tex]

Therefore velocity of rain drops is 27.36 m/s              

Answer:

(a) [tex]V_{avg}=2.868m/s[/tex]

(b) [tex]V_{avg}=5.352m/s[/tex]

(c) [tex]V_{avg}=7.836m/s[/tex]

Explanation:

Given data

x(t)=αt²-βt³

α=1.53m/s²

β=0.0480m/s³

First we need to find distance x at these time so

x(t)=1.53t²-0.0480t³

at t=0

x(0)=1.53(0)²-0.0480(0)³=0m

at t=2

x(2)=1.53(2)²-0.0480(2)³=5.736m

at t=4s

x(4)=1.53(4)²-0.0480(4)³=21.408 m

For(a) Average velocity at t=0s to t=2s

The average velocity is given as

Vavg=Δx/Δt

[tex]V_{avg}=\frac{x_{f}-x_{i} }{t_{f}-t_{i}}\\ As\\x(0)=0m\\x(2)=5.736m\\V_{avg}=\frac{5.736m-0m }{2s-0s}\\V_{avg}=2.868m/s[/tex]

For(b) Average velocity at t=0s to t=4s

The average velocity is given as

Vavg=Δx/Δt

[tex]V_{avg}=\frac{x_{f}-x_{i} }{t_{f}-t_{i}}\\ As\\x(0)=0m\\x(4)=21.408m\\V_{avg}=\frac{21.408m-0m }{4s-0s}\\V_{avg}=5.352m/s[/tex]

For(c) Average velocity at t=2s to t=4s

The average velocity is given as

Vavg=Δx/Δt

[tex]V_{avg}=\frac{x_{f}-x_{i} }{t_{f}-t_{i}}\\ As\\x(2)=5.736m\\x(4)=21.408m\\V_{avg}=\frac{21.408m-5.736m }{4s-2s}\\V_{avg}=7.836m/s[/tex]

Final answer:

The average velocity of the Honda Civic over the time intervals from t=0 to t=2.00 s is 2.868 m/s, from t=0 to t=4.00 s is 5.352 m/s, and from t=2.00 s to t=4.00 s is 7.836 m/s, calculated using the given equation and the variables α and β.

Explanation:

To find the average velocity of the Honda Civic over specific time intervals using the equation x(t) = α t^2 - β t^3, where α = 1.53 m/s^2 and β = 4.80×10^-2 m/s^3, we must calculate the change in position (Δx) over the change in time (Δt) for each interval.

a) t = 0 to t = 2.00 s

Initial position, x(0) = 0 (since any term with t = 0 results in 0).
Final position, x(2) = 1.53×2^2 - 4.80×10^-2×2^3 = 6.12 - 0.384 = 5.736 m.
Δx = 5.736 - 0 = 5.736 m, Δt = 2 s.
Average velocity = Δx/Δt = 5.736 m / 2 s = 2.868 m/s.

b) t = 0 to t = 4.00 s

Final position, x(4) = 1.53×4^2 - 4.80×10^-2×4^3 = 24.48 - 3.072 = 21.408 m.
Δx = 21.408 - 0 = 21.408 m, Δt = 4 s.
Average velocity = Δx/Δt = 21.408 m / 4 s = 5.352 m/s.

c) t = 2.00 s to t = 4.00 s

Using the previously calculated final positions for t = 2 and t = 4:
Δx = 21.408 - 5.736 = 15.672 m, Δt = 4 s - 2 s = 2 s.
Average velocity = Δx/Δt = 15.672 m / 2 s = 7.836 m/s.

Answer:

Venus observation.

Explanation:

Galileo had learned regarding the  heliocentric (Sun-centered) idea of Copernicus, and acknowledged it. However, the theory was proven by Galileo's observations of Venus. Galileo concluded that Venus should travel round the Sun, sometimes passing behind and then beyond, instead of directly rotating around the Earth.

Answer:

Dehydration reactions assemble polymers, and hydrolysis reactions break down polymers.

Explanation:

dehydration reaction is a conversion that involves the loss of water from the reacting molecule or ion.

Hydrolysis is defined as any chemical reaction in which a molecule of water ruptures one or more chemical bonds.

Dehydration reactions link monomers together into polymers by releasing water, and hydrolysis breaks polymers into monomers using a water molecule. Monomers are just single unit molecules and polymers are chains of monomers.

Dehydration reactions and hydrolysis have opposite roles in relation to polymers. Dehydration reactions involve the removal of a water molecule to assemble polymers, while hydrolysis involves the addition of a water molecule to break down polymers.

The relationship between dehydration reactions and hydrolysis is that they essentially have opposite roles in relation to polymers. Dehydration reactions are processes that involve the removal of a water molecule, which allows for the formation or assembly of polymers. This occurs because a hydroxyl group (OH) is removed from one molecule and a hydrogen (H) from another, enabling the two molecules to bond and form a polymer.

In contrast, hydrolysis is a reaction that involves the addition of a water molecule, which results in the breakdown of polymers into monomers. During hydrolysis, a water molecule is split into a hydroxyl group and a hydrogen, and these are used to break the bonds within a polymer, resulting in monomers.

So, to summarize, the best choice that describes the relationship between these two processes is: Dehydration reactions assemble polymers, and hydrolysis reactions break down polymers.

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Answer:

1.3m/s

Explanation:

Data given,

Mass,m=1.0kg,

Amplitude,A=0.10m,

Frequency,f=2.0Hz.

From the equation of a simple harmonic motion, the displacement of the object at a given time is define as

[tex]x=Acos\alpha \\[/tex]

we can express the velocity by the derivative of the displacement,

Hence

[tex]V=-Awsin\alpha \\[/tex]

at equilibrium, the velocity becomes

[tex]V=wA\\w=2\pi f[/tex]

Hence if we substitute values we arrive at

[tex]V=2\pi fA\\V=2\pi *2*0.1\\V=1.3m/s[/tex]

Answer:

haha lol

Explanation:

sorry but i dont know this

Answer: Hello! Apparently, your question is incomplete. Those were sentences in which you had to complete with missing information, so here we go:

1- Our entire solar system orbits around the center of the MILKY WAY GALAXY about once every 230 million years.

2- The Milky Way and Andromeda galaxies are among a few dozen galaxies that make up our LOCAL GROUP.

3 - The Sun appears to rise and set in our sky because Earth ROTATES once each day.

4 - You are one year older each time Earth ORBITS about the Sun.

5 - On average, galaxies are getting farther apart with time, which is why we say our UNIVERSE is expanding.

6 - Our SOLAR SYSTEM is moving toward the star Vega about 70,000 km/hr.

Answer:

Option A & B

Explanation:

This is cause the compass needle is magnetized anointed in such a way that it responds to magnetic field strength.