a baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s , just reaching the plate as she stops (safe, of course).

Answers

Answer 1

The deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.

What is linear acceleration?

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

It is given that:

A baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s

As we know,

From the acceleration formula:

a = (v2 - v1)/t

a = (0 - 4.7)/1.5

a = -3.13 m/s²

Thus, the deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.

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Related Questions

A man pushes a crate along a factory floor by exerting a force of 55 N. If
the crate moves a distance of 4.0 m, how much work does the man
perform?

A man pushes a crate along a factory floor by exerting a force of 55 N. Ifthe crate moves a distance

Answers

Answer:

it's 220 J

the second one

A circular disk of moment of inertia \(I_t\) is rotating in a horizontal plane, about its axis , with a constant angular speed \(\omega_i\) . Another disc of moment of inertia \(I_b\) is dropped coaxially onto the rotating disk. Initially the 2nd disc has 0 angular speed. Eventually both the disks rotate with a constant angular speed \(\omega_f\) . The energy lost initially rotating disk to friction is ? ​

Answers

The kinetic energy of the circular disc in initial state is,

\(K^{1r} = \frac{1}{2}I^{t}ω^{ \frac{2}{i} } \)

The initial kinetic energy of the other disc dropped on the first disc is,

\(K^{2r} = \frac{1}{2}I^{b}(0)^{2}\)

\( = > K^{2r} = 0J\)

As both the disc in the final state are moving with the same angular velocity, thus, the net kinetic energy in the final state is,

\(E^{f} = \frac{1}{2}(I^{t} + I^{b})ω^{ \frac{2}{f} }\)

The net kinetic energy in the initial state is,

\(E^{i} = K^{1r} + K^{2r}\)

\( = > E^{i} = \frac{1}{2} I^{t}ω^{ \frac{2}{i} } + 0\)

\( = > E^{i} = \frac{1}{2} I^{t}ω^{ \frac{2}{i} }\)

Thus, the change in the kinetic energy during the change of state is,

\(dE = E^{f} - E^{i}\)

\( = > dE = \frac{1}{2} (I^{t} + I^{b})ω^{ \frac{2}{f} } - \frac{1}{2}I^{t}ω^{ \frac{2}{i} } \)

\( = > dE = \frac{1}{2} I^{t}(ω^{ \frac{2}{f} } - ω^{ \frac{2}{i} }) + \frac{1}{2}I^{b}ω^{ \frac{2}{f} } \)

This change in value of energy is the energy lost initially rotating the disk to friction.

Hence, the energy lost in the given case is \(dE = \frac{1}{2} I^{t}(ω^{ \frac{2}{f} } - ω^{ \frac{2}{i} }) + \frac{1}{2}I^{b}ω^{ \frac{2}{f} } \)

The energy lost initially by the rotating disk to friction is equal to \(\frac{1}{2}I_t (\omega_f^2 - \omega_i^2)+\frac{1}{2} I_b\omega_f^2\)

Given the following data:

Angular speed = 0

How to calculate the energy lost.

At the initial state, the kinetic energy of the circular disc is given by this formula:

\(K.E = \frac{1}{2} I_t\omega_i^2\)

For the second disc, the initial kinetic energy is given by this formula:

\(K.E_2 = \frac{1}{2} I_b\omega_f^{2 }\\\\K.E_2 = \frac{1}{2} I_b(0)^{2 }\\\\K.E_2 = 0\)

At the final state, the discs would move with the same angular velocity and the net kinetic energy is given by this formula:

\(E_f = \frac{1}{2} (I_t + I_b)\omega_f^2\)

For the energy lost:

Also, the change in the kinetic energy is given by this formula:

\(\Delta E = E^f - E^i\\\\\Delta E = \frac{1}{2} (I_t + I_b)\omega_f^2 - \frac{1}{2} I_t\omega_i^2\\\\\Delta E = \frac{1}{2}I_t (\omega_f^2 - \omega_i^2)+\frac{1}{2} I_b\omega_f^2\)

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10. A boy on board a cruise ship drops a 30. 0 gm marble into the ocean. If the resistive force proportionality constant is 0. 500 kg/s, what is the terminal speed of the marble in m/s?.

Answers

The terminal speed of the marble is 0.588 m/s.

What is Force?

The term "force" has a specific meaning in science. At this level, calling a force a push or a pull is quite appropriate. A force is not something an item "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.

We know that,

F = mg                          ......(1)

where,

F = force

m = mass

g = acceleration due to gravity

Also,

v = F/k                            ......(2)

where,

v = terminal speed

k = proportionality constant

Substituting the value of F from equation (1) in equation (2)

v = mg/k                             .......(3)

Given,

m = 30 g = 0.030 kg

k = 0.500 kg/s

g = 9.8 m/s²

To find,

v =?

Put the values in equation (3)

v = mg/k        

v = 0.03(9.8)/ 0.500

= 0.294/0.500

= 0.588 m/s

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in soft tissue the attenuation coefficient varies approximately:

Answers

The attenuation coefficient in soft tissue varies approximately between 0.5 and 1 dB/cm-MHz. This means that for every 1 centimeter of soft tissue, the intensity of an ultrasound wave will be reduced by 0.5 to 1 decibel per megahertz of frequency.

The attenuation coefficient is a measure of how much a material absorbs or scatters radiation. In the case of soft tissue, the attenuation coefficient is mainly due to the scattering of ultrasound waves by the water molecules in the tissue. The attenuation coefficient increases with frequency, which means that ultrasound waves with higher frequencies will be attenuated more than ultrasound waves with lower frequencies. This is why ultrasound imaging systems use lower frequencies for imaging deeper tissues. The attenuation coefficient also varies with the type of soft tissue. For example, fat has a higher attenuation coefficient than muscle, so ultrasound waves will be attenuated more in fat than in muscle.

The attenuation coefficient is an important factor in ultrasound imaging, as it determines the depth to which ultrasound waves can penetrate tissue. By knowing the attenuation coefficient of a tissue, ultrasound imaging systems can be designed to optimize the penetration of ultrasound waves into tissue.

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A circular solenoid contains 100 turns of wire and carries a current of 2 amps. Its radius is 1 cm and its length is 10 cm. Calculate the magnetic flux through one turn of the wire making the solenoid.
FB = ________ T-m2

Answers

The magnetic flux through one turn of the wire making the circular solenoid is 1.26 x 10^(-5) T-m².

Determine the magnetic flux?

The magnetic flux through a single turn of a solenoid can be calculated using the formula:

ΦB = μ₀ * N * I * A

where ΦB is the magnetic flux, μ₀ is the permeability of free space \(\(4\pi \times 10^{-7} \, \text{T-m/A}\)\), N is the number of turns, I is the current, and A is the cross-sectional area.

In this case, the solenoid has 100 turns (N = 100), a current of 2 amps (I = 2 A), and a radius of 1 cm (0.01 m). The cross-sectional area of the solenoid can be calculated as A = π * r², where r is the radius.

Substituting the values into the formula, we have:

\(\(\Phi_B = (4\pi \times 10^{-7} \, \text{T-m/A}) \times 100 \times 2 \, \text{A} \times (\pi \times (0.01 \, \text{m})^2)\)\(= (4\pi \times 10^{-7} \, \text{T-m/A}) \times 100 \times 2 \, \text{A} \times (\pi \times 0.0001 \, \text{m}^2)\)\(= 0.0002513 \, \text{T-m}^2\)\)

Rounding to the appropriate number of significant figures, the magnetic flux through one turn of the wire making the solenoid is 1.26 x 10^(-5) T-m².

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Why are experiments often performed in laboratories?
O A. They are better at representing the real world.
O B. There are fewer variables to control.
C. Scientists only want to know what happens in labs.
O D. It is harder to control variables in a laboratory.

Answers

Answer:

B

Explanation:

Laboratories are usually controlled: however, in public places, there are way too many factors that could change an experiment

There is given an ideal capacitor with two plates at a distance of 3 mm. The capacitor is connected to a voltage source with 12 V until it is loaded completely. Then the capacitor is disconnected from the voltage source. After this the two plates of the capacitor are driven apart until their distance is 5 mm. Now a positive test charge of 1 nC is brought from the positively charged plate to the negatively charges plate. How large is the kinetic energy of the test charge? The test charge of 1 nC can be regarded to be so small that it does not influence the electric field between the two plates of the capacitor.

Answers

The kinematic energy of the positive charge is 2 10⁻⁸ J

This electrostatics exercise must be done in parts, the first part: let's start by finding the charge of the capacitor, the capacitance is defined by

        C = \(\frac{Q}{\Delta V}\)

        C = ε₀ \(\frac{A}{d}\)

we solve for the charge (Q)

        \(\frac{Q}{\Delta V} = \epsilon_o \frac{A}{d}\)

indicates that for the initial point d₁ = 3 mm = 0.003 m and the voltage is DV₁ = 12

         Q = \(\epsilon_o \ \frac{A \ \Delta V_1 }{d_1}\)

Now the voltage source is disconnected so the charge remains constant across the ideal capacitor.

For the second part, the condenser is separated at d₂ = 5mm = 0.005 m

         Q = \epsilon_o \  \frac{A \ \Delta V_2 }{d_2}

we match the expressions of the charge and look for the voltage

          \(\frac{\Delta V_1}{d_1} = \frac{\Delta V_2}{d_2}\)

          ΔV₂ = \(\frac{d_2}{d_1 } \ \Delta V_1\)

The third part we use the concepts of conservation of energy

starting point. With the test load (q = 1 nC = 1 10⁻⁹ C) next to the left plate

          Em₀ = U = q DV₂

          Em₀ = q  \frac{d_2}{d_1 } \ \Delta V_1

           

final point. Proof load on the right plate

         Em_f = K

energy is conserved

         Em₀ = em_f

         q  \frac{d_2}{d_1 } \ \Delta V_1 = K

   

we calculate

         K = 1 10⁻⁹  12  \(\frac{0.005}{0.003}\)  

         K = 20 10⁻⁹ J

In this exercise, as the conditions at two different points of separation give, the area of ​​the condenser is not necessary and with conservation of energy we find the final kinetic energy of 2 10⁻⁸ J

Summarize your findings by describing the result of adding various combinations of red, green, and blue primary light colors in equal intensities And explain the result of adding these primary colors in unequal intensities.

Answers

White color is the result of adding various combinations of red, green, and blue primary light colors in equal intensities.

What are primary colors?

The three primary colors are Red, green, and blue. This implies that by additively combining the colors red, green, and blue in varied proportions the different color is obtained.

Practically all other colors may be made, and when the three primaries are mixed together in equal amounts, white is produced.

Hence white color is the result of adding various combinations of red, green, and blue primary light colors in equal intensities.

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what is a unit of electrical flow called

Answers

Answer:

AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance. The ampere is used to measure electricity much as "gallons per minute" is used to measure water flow.

Explanation:

hope it helps

A unit of electrical flow is known as ampere

How are a star's luminosity, mass, and radius related?

Answers

Answer:

The Luminosity of a star depends on BOTH its temperature and its radius (surface area): L is proportional to R2 T4. A hotter star is more luminous than a cooler one of the same radius. A bigger star is more luminous than a smaller one of the same temperature.

Answer:

The Luminosity of a star depends on BOTH its temperature and its radius (surface area): L is proportional to R2 T4. A hotter star is more luminous than a cooler one of the same radius. A bigger star is more luminous than a smaller one of the same temperature.

Explanation:

hope it helps

help me out by going to my page and answering some questions

a filter is 18 feet wide and 20 feet long. The maximum filtration rate allowed for this unit is 6.0 gpm/ft2. what is the highest flow rate that this filter can process

Answers

The highest flow rate that this filter can process is 2,160 gpm.

The maximum filtration rate allowed for a filter depends on the filter's size and the permissible flow rate per unit area of the filter. In this case, the filter has an area of 18 feet x 20 feet = 360 square feet.

The surface area of the filter is:

18 feet x 20 feet = 360 square feet

To determine the maximum flow rate, we need to multiply the surface area by the maximum filtration rate allowed:

360 square feet x 6.0 gpm/ft2 = 2,160 gallons per minute (gpm)

Therefore, the highest flow rate that this filter can process is 2,160 gpm.

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A charged metal sphere of radius R
S

and a charged, flat metal disk of radius R
D

are connected by a long conducting wire. The disk has a charge Q
D

(assume it is uniformly distributed on its surface). What is Q
S

, the charge on the sphere (assume it is uniformly distributed on its surface)? Give your answer in nC to at least three digits to avoid being counted off due to rounding. R
S

=0.36 m,R
D

=0.56 m,Q
D

=28.1nC No new data to save. Last checked at 3:42pm

Answers

The charge on the sphere is approximately -28.1 nC. Note that the negative sign indicates the opposite charge polarity compared to the disk.To determine the charge on the sphere, we can use the principle of charge conservation.

Since the sphere and the disk are connected by a conducting wire, they will reach an equilibrium state where the charges distribute themselves evenly on their surfaces.

The total charge on the system remains constant, which means the sum of the charges on the sphere and the disk is equal to the charge on the disk:

Q_total = Q_S + Q_D

We are given the charge on the disk, Q_D = 28.1 nC. To find Q_S, we rearrange the equation:

Q_S = Q_total - Q_D

Substituting the given values, we have:

Q_S = 0 - 28.1 nC

Since there is no charge initially on the system, the charge on the sphere is simply the negative of the charge on the disk:

Q_S = -28.1 nC

Therefore, the charge on the sphere is approximately -28.1 nC. Note that the negative sign indicates the opposite charge polarity compared to the disk.

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derive an expression from the energy stored E, in a stretched wire of original length L cross sectional area A, e, tension e,and young modulus Y of the material of the wire​

Answers

The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A

How to explain the expression

The work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).

The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:

T = Y * (ΔL / L)

where Y is the Young's modulus of the material of the wire.

Now, let's calculate the work done to stretch the wire:

dW = T * dL

Integrating this expression from L to L + ΔL:

W = ∫ T * dL = ∫ Y * (ΔL / L) * dL

W = Y * ΔL * ∫ (dL / L)

W = Y * ΔL * ln(L) + C

Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.

Finally, the expression for the energy stored in the wire (E) is:

E = W = Y * ΔL * ln(L)

or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:

E = Y * e * ln(L) * A

Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:

E = Y * e * ln(L) * A

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a drop of oil of volume 10^-10 cubic metre spreads out on water to make a circular film of radius 10^-1 metre. what is the thickness of the film?​

Answers

Answer:

\(h=3.18\times 10^{-9}\ m\)

Explanation:

Given that,

The volume of a drop, \(V=10^{-10}\ m^3\)

The radius of the circular film, \(r=10^{-1}\ m\)

We need to find the thickness of the film.

We know that,

Volume, \(V=\pi r^2 h\)

So,

\(h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{10^{-10}}{\pi \times (10^{-1})^2}\\\\h=3.18\times 10^{-9}\ m\)

So, the thickness of the file is equal to\(3.18\times 10^{-9}\ m\).

why it is important to convert units prior to calculation?

Answers

It's not. What it is, often, is easier.

You should know by now that you need to be working with a consistent set of units. This means that your unit for velocity is your unit for length divided by your unit for time…and your unit for acceleration is your unit for velocity divided by your unit for time…and your unit for force is your unit for acceleration multiplied by your unit for mass…and your unit for energy is your unit for force multiplied by your unit for length…and your unit for power is your unit for energy divided by your unit for time…and so on.

In this way, your calculations will automatically yield answers in the correct units.

SI makes things very easy because of everything being consistent and base 10 with the metric prefixes. It also was standardized nicely from the start. It also is based upon a number of important physical constants…so, for example, water at room temperature is about 1g/cc and it has a a specific heat of 1 calorie per gram and 100 degrees between freezing and boiling.

These days, all other systems of measurement are based on SI units, anyway, so you'll be hard pressed to find a better and easier system to work with.

Why does the moon show phases in the course of a month?.

Answers

The moon does not create light but reflects light from the sun. When the earth spins it shifts how we can see it and that’s how moon phases show up.

I hope this was helpful ;)

A construction worker is carrying a load of 40 kg over his head and is walking at a constant velocity if he travels a distance of 50 meters how much work is being done

Answers

The \(1.9 * 10^4\) joules of work is being done by the construction worker. The correct answer is option D.

Work is defined as the transfer of energy that occurs when a force is applied over a distance in the direction of the force. If a force is applied but there is no movement in the direction of the force, no work is done. The formula for work is W = F × d × cos θ where W is work, F is force, d is distance, and θ is the angle between the force and the direction of motion. In this case, the construction worker is carrying a load of 40 kg over his head, which means that he is exerting a force equal to the weight of the load, which is \(40 kg * 9.8 m/s^2 = 392 N.\) Since he is walking at a constant velocity, the angle between the force and the direction of motion is 0, which means that cos θ = 1. Therefore, the work done by the worker is \(W = F * d = 392 N * 50 m = 1.9 * 10^4\) joules. Therefore, the correct answer is option D.In conclusion, the work being done by the construction worker carrying a load of 40 kg over his head while walking at a constant velocity over a distance of 50 m is \(1.9 * 10^4\) joules.

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The correct question would be as

A construction worker is carrying a load of 40 kilograms over his head and is walking at a constant velocity. If he travels a distance of 50 meters, how much work is being done?

A. 0 joules

B. 2.0 × 102 joules

C. 2.0 × 103 joules

D. 1.9 × 104 joules ...?


For this object, what color will you observe?

For this object, what color will you observe?

Answers

Answer:

blue

Explanation:

blue is the only color being reflected, meaning it's the only one that will be visible

20V Calculate: Total resistance from the given diagram. Fig:(a) 4W 12v 6W Fig:(b) 6W 6W 12v​

Answers

Answer:

please help

Explanation:

cuál es la diferencia entre ciencia y tecnología​

Answers

¿Cuál es la diferencia entre ciencia y tecnología?

La ciencia se refiere al proceso de explorar nuevos conocimientos metódicamente a través de la observación y los experimentos.

La tecnología se refiere al proceso de aplicar el conocimiento científico en aplicaciones prácticas para varios propósitos.

What is the difference between science and technology?

Science refers to the process of exploring new knowledge methodically through observation and experiments.

Technology refers to the process of applying scientific knowledge in practical applications for various purposes.

I WILL GIVE BRAINLIEST TO WHOEVER GETS THIS QUESTION CORRECT!!!
Which statement is true of a distance-time graph?
A.) A line with a curve indicates that the object has a constant speed.
B.) The line in the graph points downward if the object is speeding up.
C.) The line shows a change in speed if its angle changes.
D.) The line shows the path of the object that is moving.

Answers

Answer: c) The line shows a change in speed if its angle changes.

I'm not sure

Explanation:

An object initially traveling at 20.0 m/s south decelerates uniformly at 6.00 m/s2 and is displaced 25.0 m. What is the final velocity of the object? (magnitude and direction)

Answers

Answer:

50.37 m/s and 40ms object

an electric generator works by group of answer choices forming chemical bond to release energy. causing electric charge to flow. turning a coil of wire in a magnetic field. making electrons move at nearly the speed of light in a wire. breaking chemical bond to release energy.

Answers

B) The correct answer is "turning a coil of wire in a magnetic field." An electric generator converts mechanical energy into electrical energy through electromagnetic induction.

When a coil of wire is rotated in a magnetic field, the magnetic field lines cut across the wires, inducing a voltage in the wire and generating an electric current. This process is similar to the way a motor works, but in reverse. In a motor, electrical energy is converted into mechanical energy by using the magnetic fields to produce a rotational force.

The other answer choices, forming chemical bonds, breaking chemical bonds, and making electrons move at nearly the speed of light, all involve chemical or physical changes in the material. While these processes can release energy and generate electrical currents in certain circumstances, they are not the primary mechanism by which an electric generator works.

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Complete Question:

an electric generator works by group of answer choices forming chemical bond to release energy.

A. causing electric charge to flow.

B. turning a coil of wire in a magnetic field.

C. making electrons move at nearly the speed of light in a wire.

D. breaking chemical bond to release energy.

Determine the output voltage Vo in the circuit given below using nodal analysis, where the dependent source A-0.2Vo Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees. j2Ω 12/0°V 4Ω The output voltage of the circuit is V.-n/r n/r

Answers

It is given that:

dependent source = A-0.2Vo

Determine the output voltage Vo in the circuit given below using nodal analysis, where the dependent

Sunidhi made a study chart about changes in states of

matter.

Which headings best complete the chart?

X

melting

sublimation

Y

freezing

deposition

X: Solid Directly to Liquid

Y: Liquid Directly to Solid

OX: Liquid Directly to Solid

Y: Solid Directly to Liquid

O X: Heat Is Released

Y: Heat Is Absorbed

X: Heat Is Absorbed

Y: Heat Is Released

Answers

Answer:

 freezing melting sublimating  x y

 x and

Explanation:

To drop a table of states of matter the best headings must be

table name: matter state

    freezing melting sublimation x y

This order goes from the solid state to the gaseous state, which is obtained by introducing heat into the system

Answer: D on edge

X: Heat Is Absorbed

Y: Heat Is Released

Explanation:

sublimation and melting are both absorbing heat(aka getting warmer)as they change state while freezing and deposition are releasing heat(aka getting colder)as they change state

If the detector is capturing 3. 2×108 photons per second at this wavelength, what is the total energy of the photons detected in one hour?.

Answers

Number of photons detected per second = 3.2 × 108 per sec  we need to find total energy = 1 hour, energy of photon is given by E = h x f where h is Planck’s constant = 6.626 × 10-34 J s f is frequency of radiation.

The relationship between frequency and wavelength is given by c = f x λ where c is the speed of light which is constant = 3 × 108 m/sλ is the wavelength of radiation .In order to find the energy of photons in one hour, we will first calculate the energy of one photon.

Given wavelength and number of photons detected, we can find the frequency and hence energy of one photon using the above mentioned relationships. c = f x λ ⇒ f = c / λ = 3 × 108 / 5.5 × 10-7 = 5.4545 × 1014 Hz E = h x f = 6.626 × 10-34 x 5.4545 × 1014= 3.608 × 10-19 J.

Now, energy detected per second = 3.2 × 108 x E= 3.2 × 108 x 3.608 × 10-19= 1.154 × 10-10 Joules Total energy detected in 1 hour = energy per second x 3600 seconds= 1.154 × 10-10 x 3600= 4.154 × 10-7 Joules Hence, the total energy of the photons detected in one hour is 4.154 × 10-7 Joules.

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Which planet moves the fastest and which planet moves slowest? a, b, c, d, e, or f. Explain

Which planet moves the fastest and which planet moves slowest? a, b, c, d, e, or f. Explain

Answers

D is the point where the planet moves the fastest. This is because it is in the perihelion, where the planet is moving at it’s fastest pace

a cord of negligible mass is wrapped around the outer surface of the 3kg disk . If the disk is released from rest, determine its angular velocity in 3 s. omega = 138.9 rad/s omega = 163.3 rad/s omega = 245.0 rad/s omega = 490.0 rad/s

Answers

The answer cannot be provided in one row without knowing the radius of the disk or additional information about its geometry

Determine the angular velocity of a 3kg disk after 3 seconds, given that a cord is wrapped around its outer surface and it is released from rest?

To determine the angular velocity of the disk after 3 seconds, we need to consider the conservation of angular momentum. Since the cord is wrapped around the outer surface of the disk, it provides a torque that causes the disk to rotate.

The equation for angular momentum is:

L =\(I * ω\)

Where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

In this case, the cord exerts a torque on the disk, causing it to rotate. The torque can be calculated as the tension in the cord multiplied by the radius of the disk:

τ =\(T * r\)

Since the disk is released from rest, the initial angular velocity (ω_initial) is 0. We can then relate the initial and final angular momenta as follows:

L_initial =\(I * ω_\)initial = 0

L_final =\(I * ω\)_final

Since the torque acting on the disk is constant, we can use the formula for torque and angular acceleration to relate the torque and angular momentum:

τ =\(I * α\)

Since the disk is released from rest, the angular acceleration (α) is constant. Therefore, we can write:

\(τ = I * α = I * (ω_final - ω_initial) / t\)

Simplifying the equation:

\(τ = I * α = I * ω_final / t\)

Rearranging the equation to solve for ω_final:

ω_final = (τ * t) / I

Now we can substitute the known values into the equation to calculate the angular velocity (ω_final) after 3 seconds.

Given:

Mass of the disk (m) = 3 kg

Radius of the disk (r) = ? (not provided)

Time (t) = 3 seconds

To calculate the moment of inertia (I), we need to know the radius of the disk. Since it's not provided, we cannot determine the exact angular velocity. However, we can discuss the possible options based on the given choices:

omega = 138.9 rad/s

omega = 163.3 rad/s

omega = 245.0 rad/s

omega = 490.0 rad/s

Without knowing the radius, we cannot determine the correct angular velocity. The moment of inertia depends on the distribution of mass around the axis of rotation, which is directly related to the radius of the disk.

To find the correct angular velocity, we would need the radius of the disk or additional information about the disk's geometry.

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An electric iron is Marg 20 words 500 w the units consumed by it in using it for 24 hours will be

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The electric iron with a power rating of 500 watts will consume 12 kilowatt-hours (kWh) of electricity when used continuously for 24 hours.

To calculate the units consumed, we need to consider the power rating and the duration of usage. The power rating of the electric iron is given as 500 watts, which is equivalent to 0.5 kilowatts (kW). By multiplying the power rating by the time used (24 hours), we obtain the total energy consumed, which is 12 kilowatt-hours (kWh). This value represents the units of electricity consumed by the electric iron during the 24-hour period.

Therefore, the electric iron will consume 12 kilowatt-hours (kWh) of electricity when used for 24 hours continuously with a power rating of 500 watts.

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You performed an experiment in which you measured the amount of water leaking through different types of roofs. For one roof, you measured a volume of 13.2 ounces. What is this measurement in SI units? 1 lb = 16 oz; 1 kg = 2.2 Ibs.

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The measurement of 13.2 ounces is 0.375 kg in SI units.

To convert 13.2 ounces to SI units, we need to convert it to kilograms since the SI unit for mass is kilograms (kg).

Given:

1 lb = 16 oz

1 kg = 2.2 lbs

First, let's convert 13.2 ounces to pounds:

13.2 oz * (1 lb / 16 oz) = 0.825 lbs

Now, let's convert pounds to kilograms:

0.825 lbs * (1 kg / 2.2 lbs) ≈ 0.375 kg

Therefore, the measurement of 13.2 ounces is approximately 0.375 kg in SI units.

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