a paraboloid is a 3d shape whose cross sections are parabolas. a solar cooker is in the shape of a paraboloid. it generates heat for cooking by reflecting sunlight toward a single point, the common focus of those parabolas. a cross section of the solar cooker can be modeled by the parabola shown below, opening up whose vertex is at the origin. if the cooker is 148 cm wide and 27.38 cm deep, how far above the base is the focal point?

Answers

Answer 1

The focal point of the solar cooker is 6.845 cm above the base.

How to calculate distance?

For a parabolic reflector, the focal point (F) lies along the axis of symmetry, and the distance from the vertex to the focal point (the focus) is given by the equation:

4f = p

Where:

f = distance of the focal point from the vertex, and

p = depth of the paraboloid.

Given that the depth of the cooker is 27.38 cm, substitute this into the equation to find the focal point:

4f = 27.38 cm

f = 27.38 cm / 4

f = 6.845 cm

Therefore, the focal point of the solar cooker is 6.845 cm above the base.

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Related Questions

Is there a distinction between thermal energy and internal energy? Which term do physicists prefer?
a) Thermal energy is outside a substance, whereas internal energy is inside. Physicists prefer internal energy.
b) Internal energy emphasizes heat flow, whereas thermal energy is the grand total of all energies outside a substance. Physicists prefer thermal energy.
c) Thermal energy and internal energy are the same. Physicists prefer thermal energy.
d) Thermal energy emphasizes heat flow, whereas internal energy is the grand total of all energies inside a substance. Physicists prefer internal energy.

Answers

A distinction between thermal energy and internal energy is : Thermal energy emphasizes heat flow, whereas internal energy is the grand total of all energies inside a substance. Physicists prefer internal energy. Option(d).

Thermal energy refers to the energy associated with the temperature of a substance or a system. It is related to the kinetic energy of the molecules or particles within the system. Internal energy, on the other hand, encompasses all forms of energy present within a substance, including kinetic energy, potential energy, and the energy associated with the molecular structure.

Physicists generally prefer the term "internal energy" because it encompasses all energy components within a system, whereas "thermal energy" specifically refers to the energy associated with temperature and heat flow. Internal energy is a more comprehensive term that takes into account various types of energy and their interactions within a substance.

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Complete this concept map.

Complete this concept map.

Answers

Answer:

conduction s convention s radiation

how much electrical energy does a small heating coil use if it runs for 5 minutes using a 12 volt power supply that provides 2.5 amperes of current?

Answers

691.2 W electrical energy does a small heating coil use if it runs for 5 minutes using a 12-volt power supply that provides 2.5 amperes of current.

What is power?

Power refers to the rate at which a work is completed. It can also be defined as the total amount of energy expended in a given period of time. Power is measured in Watt (W).

What is energy?

It is the ability of a system to do work. It is measured Joule (J).

When the work done is said to be one joule?

Work done is said to be one joule when a 1 N of force is applied on an object, and the object moves by 1 m because of the force.

The formulae for power can be expressed as follows

P = \(V^{2}R\)

R = \(\frac{V}{I}\)

As per the question,

V = 12 V, I = 2.5 A

Therefore,

R = \(\frac{12}{2.5}\) = 4.8

Now,

P = 12 x 12 x 4.8 = 691.2 W

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electrons are accelerated by a 1000-v potential drop. (a) calculate the de broglie wavelength. (b) calculate the wave- length of the x-rays that could be produced when these elec- trons strike a solid.

Answers

The de Broglie wavelength of the electron is 2.212 x 10-11 m.

What is Broglie wavelength?

The de Broglie wavelength is a concept in quantum mechanics which states that all matter has a wave-like nature, and can thus be described as a wave.

(a) The de Broglie wavelength (λ) of a particle is given by the equation: λ = h/p, where h is Planck's constant (6.626 x 10-34 J.s) and p is the momentum of the particle.
The momentum of an electron with a 1000-V potential drop is given by the equation p = eV/c,
where e is the electron charge (1.602 x 10-19 C) and c is the speed of light (2.998 x 108 m/s).
Therefore, the de Broglie wavelength of the electron is:
λ = h/(eV/c) = (6.626 x 10-34 J.s) / (1.602 x 10-19 C x 1000 V/2.998 x 108 m/s) = 2.212 x 10-11 m.

(b) X-rays are produced when high-energy electrons strike a solid.
The wavelength of the x-ray is inversely proportional to the energy of the electron.
The energy of the electron is equal to the potential drop, i.e. 1000 eV. Therefore,
the wavelength of the x-ray produced is: λ = hc/eV = (6.626 x 10-34 J.s x 2.998 x 108 m/s)/(1.602 x 10-19 C x 1000 eV) = 1.246 x 10-10 m.

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A step-up transformer has an input voltage of 110 v (rms). There are 100 turns on the primary and 2095 turns on the secondary. What is the output voltage?

Answers

A step up transformer has an output voltage = 2304.5 Volt(rms).

How can we calculate the output voltage?

We are using the formula is,

\(\frac{V_{2} }{V_{1} } =\frac{N_{Sec} }{N_{pri} }\)

We know,

\(N_{Sec}\) = The turns on the secondary coil= 2095 turns.

\(N_{pri}\) = The turns on the primary coil = 100 turns.

\(V_{1}\) = The input voltage of a step-up transformer = 110 v (rms).

We have to find the output voltage of a step-up transformer = \(V_{2}\)  v(rms).

Now, we substitute the values of the known parameters in the above equation, we get:

\(V_{2} =\frac{N_{Sec} }{N_{pri} } \times V_{1}\)

Or, \(V_{2} =\frac{2095 }{100} \times 110\)

Or, \(V_{2} = 2304.5 V\)

So, From the above calculation we can see that the output voltage of a step-up transformer is 2304.5 volt(rms).

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Using two boxes, design two solar ovens. Before you build, describe your designs. Discuss elements such as materials, box shape, and color, and explain why you think the oven will work.​

Answers

Answer:

Find two boxes just a bit smaller than the other. The long sides of the box should be less than twice as long as the short side of the boxes. The smaller box should fit inside the larger box with about 1 inch in each direction to spare. The boxes can be cut down so that they fit together properly. Leave the flaps on the boxes. Buy a small sheet of Plexiglas (tm) a little bit smaller than the width and length of the top of the box. You will also need four pieces of cardboard to use for reflectors.

Explanation:

What is an example of bad energy efficiency but good energy conservation?

Answers

Answer:

Energy conservation relies on people cutting back on activities that consume energy—by turning off lights or driving less or using appliances less often.

Explanation:

hope this helps

How much work is needed to stretch this spring a distance of 5. 0 cm , starting with it unstretched?

Answers

The work done by the unstretched spring is 5 J.

What is the Hooke's law?

Hooke's law states that the extension of a given material is directly proportional to the force applied as log as the elastic limit is not exceeded. Thus we have to know that; F = Ke

F = force applied

K = force constant

e = extension

Using the graph;

K = F/e

F = 200N

e = 5 cm or 5 * 10^-2 m

K = 200N/ 5 * 10^-2 m

K = 4000 N/m

Now;

Work = 1/2Ke^2

Work = 0.5 *  4000 N/m * (5 * 10^-2 m)^2

Work = 5 J

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How much work is needed to stretch this spring a distance of 5. 0 cm , starting with it unstretched?

Select the correct answer.
Which gravitational force field diagram is drawn correctly?
A.

Select the correct answer.Which gravitational force field diagram is drawn correctly?A.

Answers

B is the correct answer because gravitational pull

Answer:

B is the correct answer

Explanation:

If the earth can travel 1800 km in 1 minute what is it’s speed in km/s

Answers

Answer:

30km/s

Explanation:

1800/60=30

Mass (kg)
2
4
6
8
12
15
Weight
(N)
20
35
55
70
105
135
What is the independent variable in this experiment

Answers

Mass.

Because mass doesn't depend on weight but weight depends on mass.

Mass is the answer to this

Kayaks have been used for thousands of years to hunt and fish in Arctic regions. The total volume of a particular kayak is 285 litres (which is 0.285 m3). It has a mass of 75 kg. The man using it has a volume of 0.066 m3. When sitting in the kayak, half of man’s volume is inside the kayak. The density of the human body is about 1000 kg/m3.Calculate the density of the empty kayak.

Answers

Given,

The volucme of Kayak, V₁=0.285 m³

The mass of the Kayak when the man is sitting in it, m₁=75 kg

The volume of the man, V₂=0.066 m³

The density of the man, d=1000 kg/m³

The mass of the man inside the Kayak is given by,

\(m_2=V_2\times d\)

On substituting the known values,

\(\begin{gathered} m_2=0.066\times1000 \\ =66\text{ kg} \end{gathered}\)

The mass of the empty Kayak is,

\(\begin{gathered} M=m_1-m_2 \\ =75-66 \\ =9\text{ kg} \end{gathered}\)

Given that only half of the volume of the man is inside the Kayak when he is sitting in it. Half of the man's volume which is outside the Kayak will be considered in the total volume of the Kayak when he is sitting in it. Thus we have to subtract half of his volume, which is outside the Kayak, while we calculate the density of the Kayak.

Thus the density of the empty Kayak is

\(\rho=\frac{M}{V_1-\frac{V_2}{2}}\)

On substituting the known values,

\(\begin{gathered} \rho=\frac{9}{0.285-\frac{0.066}{2}} \\ =35.71kg/m^3 \end{gathered}\)

Thus the density of the Kayak is 35.71 kg/m³

Two cars - Car A and Car B - drive in the same direction down a street. Car B is traveling at 30 m/s. Car A is traveling 20 m/s. Imagine that you're sitting inside Car A and Car B passes you. What is the velocity of Car B relative to you? Don't forget UNITS.

Answers

Answer:derp

Explanation:

ol
ir Q.No.la ताल भनका क
The unit of density is called derived unit, why?​

Answers

Answer:  Density is measured in kg⋅m−2 . This means that it is derived from fundamental units which are the kilogram and metre. ... hence the kilogram and the metre are SI units and density is a derived unit from these units

Explanation:

they are calculated from the base units mass and length. Density is one derived unit; force, area, volume, specific volume and mass fraction are also derived units. Each derived unit is defined by a quantity equation.

Answer:

Density is obtained through mathematical manipulation.

Explanation:

A derived unit is obtained through mathematical calculation and the result is written with the S.I unit kg/m³

Which of the following items are NOT used to create an electric motor?

A. Magnets
B. Electric Current
C. Turbines
D. Copper Wire

Answers

Answer:

Option C, Turbines

Explanation:

An electric motor comprise of following components-

a) Magnets

b) Electric wire or solenoid

c) Motor shaft

Turbine is a component of power producing plant that is essential to rotate the shaft of the motor. Once the shaft is rotated, the electric coil placed between the magnets is also rotated. Rotating coil cut the magnetic fields to induce emf and hence electric current is produced from mechanical work (i.e rotation).

Hence, option C is correct

5. Gravity is an attractive force betweenA. all massive objects.B. Earth and objects on Earth.C. Earth and Moon, and objects on Earth.D. all objects everywhere.
Background image

Answers

The correct answer is option D gravity is an attractive force between any objects in the universe i.e. gravitational force.

Is gravity a force that draws two items together?

A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.

We can see that the gravitational force is inversely proportional to the distance between masses and directly proportional to the product of the masses of two objects. As a result, any item in the cosmos can be attracted to another by the force of gravity.

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How much work is done when a porcelain vase with mass of 2.5 kg is lifted up 3 m to a shelf? (HINT- Weight can be used as Force when the motion is up/down).

Answers

Work = force x distance
F= 2.5
D= 3
Work = 2.5 x 3 =7.5
Work = 7.5 J
J=Jules (Jules is the unit uses to calculate work)

Which of these would be caused by a chemical change?
A)
The formation of lava.
B)
Sedimantary rock layering over time,
C)
Metamorphic rock forming from igneous.
D)
Metamorphic rock eroding to form sedimentary rock.

Answers

Answer:

The answer is C!

Metamorphic rock forming from igneous.

Hope this helps you! :))

a gas increases in pressure from 2.00 atm to 6.00 atm at a constant volume of 1.00 m3 and then expands at constant pressure to a volume of 3.00 m3 before returning to its initial state as shown in the figure below. how much work is done in one cycle?

Answers

The work done on the given gas in one cycle is -405.3 kJ.

The given parameters;

initial pressure of the gas, P₁ = 2 atmfinal pressure of the gas, P₂ = 6 atminitial volume of the gas, V₁ = 1 m³final volume of the gas, V₂ = 3 m³

Convert the pressure to Pascal (N/m²);

1 atm = 101325

The work done in one cycle is the area of the triangle and it is calculated as follows

\(Area = \frac{1}{2} \times base \times height\\\\Area = \frac{1}{2} \times (3 \ m^3\ -\ 1 \ m^3)\times (6 \ atm \ - \ 2 \ atm)\\\\Area = 4 \ atm -m^3\\\\Area = 4 \ atm -m^3 \ \times \frac{101325 \ Pa}{1 \ atm} \\\\Area = 405,300 \ m^3.Pa\\\\Area = 405,300 \ m^3. (N/m^2)\\\\Area = 405,300 \ Nm\\\\Area = 405,300 \ J\\\\Area = 405.3 \ kJ\)

the net work done on the gas = - 405.3 kJ

Thus, the work done on the given gas in one cycle is -405.3 kJ.

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a gas increases in pressure from 2.00 atm to 6.00 atm at a constant volume of 1.00 m3 and then expands

m=3000km v=25m/s what’s the momentum

Answers

Answer:

Momentum of the given body will be : 75000 Kg m/s

Explanation:

According to Newton's first law of motion, all bodies continue to be in the state of rest or motion unless an external force is applied on the body. We can use this in the case of momentum also

The formula of momentum is given by :

\(:\implies \sf\quad \sf \: P = mv\)

Here, we are given the mass of the body ( m ) as 3000kg and the velocity of the body ( v ) as 25 m/s. On putting the values in the formula:

\( \begin{aligned}&:\implies \sf\quad \sf \: P = mv \\& :\implies \sf\quad \sf \: P = 3000 \times 25 \\ & :\implies \sf\quad \sf \: \boxed{ \sf \: P = 75000kgm {s}^{ - 1} } \end{aligned}\)

Momentum is associated with the mass of the moving body and can be defined as the quantity of motion measured as a product of mass and velocity.

Answer :-

Momentum is \( \bf{75,000 \: {kg \: ms}^{ - 1} } \) .

Explanation :-

As per the provided information in the given question, we have been given that The Mass is 3000 kg . The Velocity is given as 25 m/s . And, we have been asked to calculate the Momentum .

For calculating the Momentum , we will use the Formula :-

\( \bigstar \: \: \: \boxed {\sf { \: Momentum \: = \: Mass \: \times \: Velocity \: }} \)

Therefore , by Substituting the given values in the above Formula :-

\( \dag \: \: \: \sf { Momentum \: = \: Mass \: \times \: Velocity} \)

\( \Longrightarrow \: \: \: \sf { Momentum \: = \: 3000 \: \times \: 25} \)

\( \Longrightarrow \: \: \: \textbf {\textsf {Momentum \: = \: 75000 }} \)

Hence :-

Momentum = \( \bf{75,000 \: {kg \: ms}^{ - 1} } \) .

\( \underline {\rule {180pt} {4pt}} \)

One peice of evidence that the universe is expanding

Answers

Who Figured This Out? The American astronomer Edwin Hubble made the observations in 1925 and was the first to prove that the universe is expanding. He proved that there is a direct relationship between the speeds of distant galaxies and their distances from Earth. This is now known as Hubble's Law.

What direction is deemed positive when
doing a force summation for a circular
motion problem?

Answers

Newton's second law allows finding the answer for the positive direction in circular motion is:

The positive direction is towards the center of the circle.

Newton's second law is stable that the net force is proportional to the product of the mass and the acceleration of the bodies, this law is valid for all linear and rotational movements.

                   F = m a

Where the bold letters indicate vectors, F is the force, m the mass and the acceleration.

Newton's second law the direction of the net force is the same direction of the acceleration, in the case of circular motion the acceleration is directed towards the center of the circle in a radial direction.

Consequently this is the direction of the resultant force is towards the center of the circle and this is the positive direction of motion.

In conclusion using Newton's second law we can find the positive direction in the circular motion is:

The positive direction is towards the center of the circle.

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What direction is deemed positive whendoing a force summation for a circularmotion problem?

in what state of matter can conduction occur.

Answers

Answer: Conduction occurs more readily in solids and liquids, where the particles are closer to together, than in gases, where particles are further apart.

Answer:

conduction occurs when gas becomes liquid.

Do you think aksionov is able to get justice in the end? Why?​

Answers

This can be seen through the fact that Aksionov has the ability to seek his own justice many times throughout the story, yet does not take it

A cyclist travels at 15 m/s during a sprint finish. What is this speed in km/h

Answers

Answer:

54km/hr

Explanation:

Since we have to complete m/s to km/h.

we can simply divide the m/s by (5/18)

so we get 54km/hr

How does physical fitness best reflect having a scientific foundation (connected to science)?Explain

Answers

Explanation:

Physical fitness is a state of health and well-being and, more specifically, the ability to perform aspects of sports, occupations and daily activities. Physical fitness is generally achieved through proper nutrition, moderate-vigorous physical exercise, and sufficient rest.

Physical fitness is generally achieved through exercise. Photo shows Rich Froning Jr. – four-time winner of "Fittest Man on Earth" title.

Before the industrial revolution, fitness was defined as the capacity to carry out the day’s activities without undue fatigue. However, with automation and changes in lifestyles physical fitness is now considered a measure of the body's ability to function efficiently and effectively in work and leisure activities, to be healthy, to resist hypokinetic diseases, and to meet emergency situations.

Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.​

Answers

Answer:

41895 J

Explanation:

GPE= mgh

m=95

g=9.8

h=45

95*9.8*45

The gravitational potential energy of the rock at the top of the cliff is 41895 Joules.

What is gravitational potential energy?

Gravitational potential energy is simply the potential energy an object possessse in relation to another object due to gravity.

It is expressed as;

U = mgh

Given the data in the question;

Mass m = 95kgHeight h = 45mAcceleration due to gravity g = 9.8 m/s²

We substitute our values into the expression above.

U = mgh

U = 95kg × 9.8m/s² × 45m

U = 41895kgm²/s²

U = 41895J

Therefore, the gravitational potential energy of the rock at the top of the cliff is 41895 Joules.

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A grocery shopper tosses a(n) 8.6 kg bag of rice into a stationary 18.1 kg grocery cart. The bag hits the cart with a horizontal speed of 5.2 m/s toward the front of the cart. What is the final speed of the cart and bag

Answers

Answer: 1.67 m/s

Explanation:

Given

Mass of bag is \(m=8.6\ kg\)

Mass of cart is \(M=18.1\ kg\)

bag hits the cart with horizontal speed of \(u=5.2\ m/s\)

Suppose the system move with speed v after collision

Conserving the momentum

\(\Rightarrow mu+M(0)=(M+m)v\\\\\Rightarrow v=\dfrac{mu}{M+m}\\\\\Rightarrow v=\dfrac{8.6\times 5.2}{18.1+8.6}\\\\\Rightarrow v=1.67\ m/s\)

When a toy car is moving down a ramp, what forces are acting on it (gravity, tension, spring, friction, air, normal, applied)?

Answers

Gravity is pulling the toy car down the ramp.

A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8 m/s at a -47.0° angle. Whatis the y-component of the ball'sfinal velocity?y-component (m/s)Enter

A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8

Answers

let the bowling ball initially is moving along the x-axis,

The whole process can be represented as,

Before the collision the net kinetic energy of the balls is,

\(K_{iy}=\frac{1}{2}\times m_1\times(v_1\cos (90^o))^2+\frac{1}{2}\times m_2\times(0)^2\)

where the values of the variables are given as,

\(\begin{gathered} m_1=7.5\text{ kg} \\ v_1=6.42ms^{-1} \\ m_2=1.6\text{ kg} \end{gathered}\)

As the value of cos(90) is zero.

Substituting the known values,

The value of the net kinetic energy with the velocity along the y-axis before the collision is,

\(K_{iy}=0\)

The velocity of the second ball is at rest in the initial state, thus its value is taken as zero.

After the collision of the balls, the net kinetic energy is,

\(\begin{gathered} K_{fy}=\frac{1}{2}\times m_1\times(v^{\prime}_1\sin (\alpha))^2+\frac{1}{2}\times m_1\times(v^{\prime}_2\sin (-47^o))^2 \\ K_{fy}=\frac{1}{2}\times m_1\times(v_{1fy})^2+\frac{1}{2}\times m_1\times(v^{\prime}_2\sin (-47^o))^2 \end{gathered}\)

Negative sign here indicating the direction of the final balls motion will be opposite to the each other.

The values of the variables are given as,

\(v^{\prime}_2=14.8ms^{-1}\)

Substituting the known values,

The value final kinetic enegry of the balls with velocity along the y-axis is,

\(\begin{gathered} K_{fy}=\frac{1}{2}\times7.5\times(v_{1fy})^2+\frac{1}{2}\times1.6\times(14.8\times\sin (360^o-47^o)^2 \\ K_{fy}=3.75\times(v_{1fy})^2-93.72 \end{gathered}\)

Here 360 degree is used because the pin ball direction is downward of the positive x-axis.

Then by the law of conservation of energy along the y-axis,

\(\begin{gathered} K_{iy}=K_{fy} \\ 0=3.75\times(v_{1fy})^2-93.72 \\ (v_{1fy})^2=\frac{93.72}{3.75} \\ (v_{1fy})^2=25 \\ v_{1fy}=5ms^{-1} \end{gathered}\)

Thus, the y component of the final velocity of the bowling ball of mass m1 is 5 meter per second.

A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8
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