A merry-go-round is rotating at constant angular speed. Two children are riding the merry-go-round: Ana is riding at point A and Bobby is riding at point B.
Part A Which child moves with greater magnitude of velocity? Ana has the greater magnitude of velocity. Bobby has the greater magnitude of velocity. Both Ana and Bobby have the same magnitude of velocity.
Part B Who moves with greater magnitude of angular velocity? Ana has the greater magnitude of angular velocity. Bobby has the greater magnitude of angular velocity. Both Ana and Bobby have the same magnitude of angular velocity.
Part C Who moves with greater magnitude of tangential acceleration? Ana has the greater magnitude of tangential acceleration. Bobby has the greater magnitude of tangential acceleration. Both Ana and Bobby have the same magnitude of tangential acceleration.
Part D Who has the greater magnitude of centripetal acceleration? Ana has the greater magnitude of centripetal acceleration. Bobby has the greater magnitude of centripetal acceleration. Both Ana and Bobby have the same magnitude of centripetal acceleration.
Part E Who moves with greater magnitude of angular acceleration? Ana has the greater magnitude of angular acceleration. Bobby has the greater magnitude of angular acceleration. Both Ana and Bobby have the same magnitude of angular acceleration.

Answer:

5.77×10¹⁰ m

Explanation:

From the question,

Applying

Kepler's third law

P² = d³...................... Equation 1

Where P = Planet's period, d = distance between the center of the planet and the sun.

make d the subject of the formula n equation 1

d = [tex]\sqrt[3]{P^{2} }[/tex].................. Equation 2

Given: P = 0.24 sidereal.

Substitute the value of P into equation 2

d = [tex]\sqrt[3]{0.24^{2} }[/tex]

d = 0.386 Au

d = 0.386×1.496×10¹¹

d = 5.77×10¹⁰ m

Answer:

15mm

Explanation:

We know that for circular holes first dark spot is given by

sin စ = 1.22 λ/D

Also we know that at the same time

tan စ = r/L

So

r = L tanစ = 6 x tan( arcsin(1.22x 500 x10^9/0.50 x 10^ 3))

= 0.0073 m = 7.3 mm

However since the size is twice that so 14.6 mm which is approx 15mm

Answer:

0.1

Explanation:

Answer:

The value is   [tex]u =  0.64[/tex]%

Explanation:

From the question we are told that

  The measurement is  [tex]A =  1.57 \ m^2[/tex]

The  percent uncertainty is mathematically evaluated as

       [tex]u =  \frac{0.01 * 100}{A}[/tex]

Here 0.01 is uesd due to the fact that the value given is in three decimal places

     [tex]u =  0.64[/tex]%

The approximately percent uncertainty for the measurement is 0.64%.

The given parameters:

The uncertainty in the measurement of the area = ±0.01 m²

The approximately percent uncertainty for the measurement is calculated as follows;

[tex]Uncertainty = \frac{0.01}{1.57} \times 100\%\\\\Uncertainty = 0.64 \ \%[/tex]

Thus, the approximately percent uncertainty for the measurement is 0.64%.

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Answer:

7.175 N

Explanation:

From coulomb's law of electrostatics,

F = kQq/r²........................... Equation 1

Where F = magnitude of the force, M = first Charge, q = second Charge, r = distance between the charges and k = coulomb's constant

Given: Q = +25 micro-Coulomb = + 25×10⁻⁶ C, q = +2.5 micro-coulomb = +2.5×10⁻⁶ C, r = 28 cm = 0.28 m.

Constant: k = 9×10⁹ Nm²/C²

Substitute these values into equation 1

F = 9×10⁹(25×10⁻⁶)(2.5×10⁻⁶)/ 0.28²

F = 562.5×10⁻³/0.0784

F = 7.175 N

Answer:

7bright fringes

Explanation:

First we know that

Sinစ m,max= Mmax, x lambda/d

To find Mmax

Sin90° = Mmax x lambda/d = 1

So

Mmax= d/ lambda

= lambda= 500nm

d= 1/550mm

So

= 1.8 x10-6/500x 10^-9m

= 3.6

So m is approx 3

So 3 bright fringes above below and the central bright fringe itself making 7bright fringes

Answer:

Radio stations have dipole type antennas

this field increases in intensity and propagates outwards,

Explanation:

Radio stations have dipole type antennas, that is, all sides are isolated from each other, when the AC signal from the radio station arrives, the lcharge begins at times and by the Lens law a field appears that opposes this movement, this field increases in intensity and propagates outwards, when the voltage reaches a maximum, the generated wave also reaches the maximum, now the incident wave begins to decrease, an electric hand appears to oppose this prisoner, and in this way a cap is created. electric .

Answer:

The volume flow rate of the pipe is 1.41 x 10⁻³ m³/s

Explanation:

Given;

velocity of the fluid, v = 2.0 m/s

diameter of the pipe, d = 3.0 cm = 0.03 m

The volume flow rate is given by;

Q = Av

Where;

A is the area of the pipe

v is the velocity of the fluid

circular surface Area of the pipe is given by;

A = ¹/₄ πd²

A = ¹/₄ π(0.03)² = 7.07 x 10⁻⁴ m²

Q = (7.07 x 10⁻⁴)(2)

Q = 1.41 x 10⁻³ m³/s

Therefore, the  volume flow rate of the pipe is 1.41 x 10⁻³ m³/s

Answer:

47.68 x 10²³ or 4.768 x 10²⁴ copper atoms

Explanation:

Given:

Radius of the copper sphere (r) = 0.935 in

First convert the radius from inches to centimeters

1 in = 2.54cm

0.935in =  0.935 x 2.54cm = 2.3749cm

∴ r = 2.3749cm

Calculate the volume of the copper sphere as follows

Volume = [tex]\frac{4}{3}\pi r^{3}[/tex]          [substitute r = 2.3749cm and π = 22 / 7]

Volume = [tex]\frac{4}{3}(\frac{22}{7} ) (2.3749)^{3}[/tex]

Volume = 56.108cm³

From the volume and given density, calculate the mass of the copper sphere

mass = density x volume           [density = 8.96g/cm³]

mass = 8.96 x 56.108 = 502.73g

From known facts

1 mole of copper = 63.5g of copper = 6.022 x 10²³ copper atoms.

Then,

502.73 g of copper = [tex]\frac{502.73 * 6.022*10^{23}}{63.5}[/tex]  = 47.68 x 10²³ copper atoms

Therefore, the sphere contains 47.68 x 10²³ copper atoms

Answer:

=4.8*10^-24atoms

Explanation:

To find volume of a sphere

= 5.61*10^-5m³ x 8.96gx 100³m³

=502.7g

So we use density of copper to convert volume to mass so

1atm of cux( 1mol of cu/6.02Eatm of cu)*(63.54g of cu/1 mole of cu)

So = 1.055*10-22g cu

So

= 502.7/1.055*10-22g cu

=4.8*10^-24atoms

Answer:

181.5 m

Explanation:

From the question,

Applying the equation of motion,

v² = u²+2as................. Equation 1

Where a = acceleration of the light plane, v = final velocity of the light plane, u = initial velocity of the light plane, s = length of the runway.

make s the subject of formula in equation 1

s = (v²-u²)/2a.............. Equation 2

Given: v = 33 m/s, u = 0 m/s(from rest), a = 3.0 m/s²

Substitute these values into equation 2

s = (33²-0²)/(2×3)

s = 1089/6

s = 181.5 m

Answer:

Accuracy explains the closeness or nearness of a measured or studied quantity to the actual value while precision explains the ability of a measuring device to get the same measured value when measured repeatedly

2 Accuracy is determined by percentage error while precision is by taking the ratio of standard deviation with the individual measurements

3. The accuracy of the ruler is 0.001 cm because that's the least measurement it can take

Answer:

''

Explanation:

A chemical change results from a chemical reaction, while a physical change is when matter changes forms but not chemical identity. Examples of chemical changes are burning, cooking, rusting, and rotting. Examples of physical changes are boiling, melting, freezing, and shredding. Often, physical changes can be undone, if energy is input.

Answer:

If the reaction is a chemical change, new substances with different properties and identities are formed. This may be indicated by the production of an odor, a change in color or energy, or the formation of a solid.

Answer:

    v = √ (v₁² - vₓ²)

 θ = sin⁻¹ (vₓ / v₁)

Explanation:

This is a speed composition exercise in kinematics, in the adjoint we can see the swimmer with speed v₁ and the river with speed vₓ, the resulting speed is v

To find these values ​​we can use the Pythagorean theorem

           v₁² = v² + vₓ²

           v = √ (v₁² - vₓ²)

the direction the swimmer should take is

           sin θ = vₓ / v₁

           θ = sin⁻¹ (vₓ / v₁)

Answer:

It is an instrument which increases the amount of force available to a single hypothetical person.

Examples;

Levers, pulleys are force magnifiers.

Answer:

solar nebula, the sun, planetesimals, inner planets, and last but not least outer planets

Answer:

Solar nebula, The sun, planetesimals , inner planets, outer planets

Explanation:

Answer:

The number of turns is 64449395

Explanation:

The expression for the solenoid formula is stated below, and it is what we are going to use to solve for the number of turns

B= μ₀nl

where B= magnetic field

           μ₀= permeability , 4π × 10⁻⁷ Henry

           n= number of turns

            l= length of coil

Given data

current I=  2 mA

length L= 1.4 cm to meter we have 0.014

magnetic field B= 0.162 T

From the expression we can make n subject of formula we have

n=B/μ₀l

Substituting we have

n= 0.162/4π × 10⁻⁷*2*10^-3

n= 0.162/8π × 10^⁻10

n= 0.162/2.5136*10^-9          

n= 64449395

Answer:

Optical Fiber

Explanation:

Optical fibers have replaced copper wire in long distance communication as they are cheaper and less bulky than copper cables carrying the same information. Optical Fibers transfer information from one place to another by sending pulses of infrared light signals. Light act as carrier waves.

Current flow light bulb = 2.5[tex]\sf{A}[/tex]

Resistance of light bulb = 3.6Ω

We have to find voltage of battery[tex].[/tex]

➠ As per ohm's law, current flow through a conductor is directly proportional to the applied potential difference.

➝ V ∝ I

➝ V = I × R

Where, R is the resistance of conductor.

⇒ V = I × R

⇒ V = 2.5 × 3.6

⇒ V = 9 volt

Answer:

1.90×10²⁰ Electrons

Explanation:

From the question,

Q = It.................... Equation 1

Where Q = charge flowing through the wire, I = current, t = time

Given: I = 4.35 A, t = 7.00 s

Substitute these values into equation 1

Q = 4.35(7.00)

Q = 30.45 C.

But,

1 electron contains 1.6×10⁻¹⁹ C

therefore,

30.45 C = 30.45/1.6×10⁻¹⁹  electrons

= 1.90×10²⁰ Electrons

Answer:

Explanation:

what?

Answer:

40 units

Explanation:

200 divided evenly by 5 is 40. Therefore there are 40 units

(200 apples) / (5 boxes) = 40 apple/box

Answer:

The dependent variable is the cook time of the egg

The higher the temperature of the water, the faster the egg will cook, then the dependent variable is the temperature of the water, therefore the correct answer is the option C

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

Thermal energy can be produced with help of various means such as by burning fossil fuels, with the help of solar energy.

The correct direction for heat flow is from hot to cold because heat always moves naturally from a higher thermal potential to a lower thermal potential unless additional work is provided by an external machine.

Thus, The dependent variable is the water's temperature, and since the egg will cook more quickly at higher water temperatures, option C is the best choice.

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Answer:

Time taken = 8 second

Distance traveled = 320 ft

Explanation:

Given:

Initial velocity (u) = 80 ft/s

Acceleration (a) = (-)10 ft/s²

Final velocity (v) = 0 ft/s

Find:

Time taken

Distance traveled

Computation:

v = u + at

0 = 80 + (-10)(t)

t = 8 second

Time taken = 8 second

s = ut + (1/2)(a)(t)²

s = (80)(8) + (1/2)(-10)(8)²

s = 320 ft

Distance traveled = 320 ft

Answer:

2.5

Explanation:

Momentum = Mass × Velocity

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{2.5 \: kg \: m \: / \: s}}}}}[/tex]

Explanation:

Mass ( m ) = 0.5 kg

Velocity ( v ) = 5 m / s

Momentum ( p ) = ?

Finding the momentum

[tex] \boxed{ \sf{momentum \: ( \: p \: ) \: = \: mass \: \times \: velocity}}[/tex]

⇒[tex] \sf{momentum \: = \: 0.5 kg \times 5 \: meter \: \: per \: second}[/tex]

⇒[tex] \sf{momentum = 2.5 \: kg \: m \: / \: s}[/tex]

Hope I helped!

Best regards! :D

Answer:

g = (0.13 + - 0.05) m / s²

Explanation:

a) The equations of physics are valid in all inertial systems, therefore the kinematic relationships on this planet are the same as on Earth.

        y = v₀ t - ½ g t²

From the statement it follows that the body is released, so its initial velocity is zero

        y = 1/2 g t²

where we take the downward direction as positive

With this expression to make a linear graph we must graph t² vs y, see attached.  Observe that the controlled variable is the height, so this is the independent variable and must go on the x axis, the values ​​of the slope and point of cut can be obtained from this graph  by lineal regretion

           y ’= m x + b

           y ’= 0.2668 x + 0.00406

If we compare this equation of the line with the equation of free fall

          y ’= t2

          x = y

          m = 0.2668

          b = 0.00406

Since the value of b is very small, we can say that our assumption that the initial velocity is zero is correct.

Now we can compare the expressions of free fall and the equation of the line obtained

             y = ½ g t2

             y ’= m x

to be functionally equivalent

            x = 1 / m y '

now we can see the slope

          1 / m = ½ g

          g = 2 / m

          g = 2 / 0.2668

          g = 7.496 m / s²

b) the uncertainty of the acceleration is

          Δg = dg/dm   Δm

the uncertainty of m is given by the fit of the linear regression of the program Δm = 0.025

          dg / dm = 1 / 2m

           Δg = 1 /2m  Δm

           Δg = 1 / (2 0.2668) 0.025

           Δg = 0.047

The result of this exercise with the correct significant figures

          g = (0.13 + - 0.05) m / s²

Answer:

1. The de Broglie wavelength of the electron decreases if its momentum increases.

b. The de Broglie wavelength of the electron decreases is the correct answer

2. The de Broglie wavelength of the electron increases as the kinetic energy decreases.

a. The de Broglie wavelength of the electron increases is the correct option

Explanation:

1. The relationship between de Broglie wavelength, λ and momentum ρ is given by

λ = h/ρ

Where λ is the de Broglie wavelength

h is Planck's constant and

ρ is the momentum

From the formula, the de Broglie wavelength, λ varies inversely with the momentum, ρ. Hence, as the de Broglie wavelength increases the momentum decreases; similarly, as the de Broglie wavelength decreases, the momentum increases.

For question 1, The de Broglie wavelength of the electron decreases if its momentum increases.

b. The de Broglie wavelength of the electron decreases is the correct answer

2. From

λ = h/ρ

ρ = mv

∴ λ = [tex]\frac{h}{mv}[/tex]

Where m is mass

and v i velocity

Recall that Kinetic energy K.E is given by

K.E = [tex]\frac{1}{2}mv^{2}[/tex]

[tex]E_{K} = \frac{1}{2}mv^{2}[/tex]

[tex]E_{K}[/tex] is the kinetic energy

∴ [tex]v = \sqrt{\frac{2E_{K} }{m} }[/tex]

Now we will evaluate [tex]mv[/tex]

[tex]mv = m \sqrt{\frac{2E_{K} }{m} }\\mv = \sqrt{m^{2} }.\sqrt{\frac{2E_{K} }{m} }\\ mv = \sqrt{\frac{2m^{2}E_{K} }{m} } \\mv = \sqrt{{2mE_{K} }[/tex]

∴ λ = [tex]\frac{h}{mv}[/tex] becomes

λ = [tex]\frac{h}{\sqrt{2mE_{K} } }[/tex]

This equation shows the relationship between the de Broglie wavelength and kinetic energy, [tex]E_{K}[/tex]

From the equation, de Broglie wavelength varies inversely with kinetic energy. That is, as the de Broglie wavelength increases the kinetic energy decreases; similarly, as the de Broglie wavelength decreases, the kinetic increases.

For question 2, The de Broglie wavelength of the electron increases as the kinetic energy decreases.

a. The de Broglie wavelength of the electron increases is the correct option

Answer:

The correct answer is : a special type of experimental design where subject divides in two groups according their treatment setting.

Explanation:

A two group is a experimental design two groups are the two different groups of subjects divided by the researcher for comparing the data and result to establish relation in variables.

In normal case, one of the two groups one is a group of subjects who get treatment known as experiment or treatment group while other group is known as control group without treatment.

Thus, the correct answer is : a special type of experimental design where subject divides in two groups according their treatment setting.

a particular kind of experimental design in which the subjects are split into two groups based on the treatment environment. A two-group design is an experiment.

The researcher separated the participants into two groups and then compared the data and results to identify any relationships between the variables.

In a typical scenario, one of the two groups is made up of participants in an experiment or treatment group who receive care, while the other group is referred to as the control group who do not receive care.

Therefore, a particular kind of experimental design where subjects are divided into two groups according to their course of therapy.

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Answer:

60 V

Current will flow anticlockwise from the right side of the magnet.

Explanation:

The number of turns on the coil = 40 turns

The magnetic flux changes by ∆Φ = 0.3 T.m^2

The time changes by ∆t = 0.2 s

The induced emf can be gotten as

E = N∆Φ/∆t

substituting values, we have

E = (40 x 0.3)/0.2 = 60 V

If we move the magnet away from the coil, then from Lenz law, the induced current on the coil will try to oppose the motion of the magnet by attracting the magnet towards the coil. For this to happen, the coil must possess the equivalent of a magnetic south pole. For the equivalent of a magnetic south pole, the current on the coil will flow in the clockwise direction when viewed from the left side of the magnet. This will appear as an anticlockwise direction, when viewed from the right side of the magnet.

Answer:

The whales experience pressures of about 9.87Mpa at this depth of 1km into the water.

Explanation:

The absolute pressure can be calculated using the formula: P Abs = P Guage + P Fluid.

This means that once the whales dive under the water, both the pressure from the atmosphere and the pressure from the water is acting on them.

The Guage pressure is 101325 Pa. This can be obtained from standard tables.

The fluid pressure at a depth of 1km (1000 m) can be obtained using the formula: [tex]P = \rho gh[/tex]

Where [tex]\rho[/tex] = density of water = 997 kg/m³

g = acceleration due to gravity = 9.8 m/s2

h = depth of dive = 1000m

[tex]P = 997 \times 9.8 \times 1000 = 9770600 Pa[/tex]

Therefore, Absolute pressure = 101325 Pa + 9770600 Pa = 9871925 Pa

The whales experience pressures of about 9.87Mpa at this depth of 1km

Answer:

P₁ = 219.3 Pa

Explanation:

This fluid mechanics problem, we can use that the pressure is distributed with the same value throughout the system, which is Pascal's principle.

Let's use the subinidce1 for the small diameter and the subscript 2 for the larger diameter.

              P₁ = P₂

pressure is defined by

             P = F / A

we subtitute

             F₁ / A₁ = F₂ / A₂

             F₁ = F₂ A₁ / A₂

the area in a circle is

             A = π r² = π d² / 4

we substitute

            F₁ = F₂ (d₁ / d₂)²

we calculate

           F₁ = 17640 (2/32)²

           F₁ = 68.9 N

Having the force to be applied we can find the air pressure on the small plunger

          P₁ = F₁ / A₁

          P₁ = F₁ 4 / π d₁²

let's calculate

          P₁ = 68.9 4 / (π 0.02²)

          P₁ = 219.3 Pa