72pts
What is the mechanical advantage of the wheel and axle shown below?

0.8 cm 26 cm​

(a) The maximum height attained by the car is 21.57 m.

(b) The thermal energy generated by friction is 85,017.6 J.

(c) The average force of friction of the hill is 370.8 N.

The maximum height attained by the car is calculated by applying the principle of conservation of energy as follows;

P.E = K.E

mgh = ¹/₂mv²

h = (v²) / (2g)

where;

h = (20.56²) / (2 x 9.8)

h = 21.57 m

The thermal energy generated by friction is determined from the change in the mechanical energy of the car.

ΔE = K.E - P.E

ΔE = ¹/₂mv² - mgh

where;

ΔE = ¹/₂(750)(20.56)² - (750)(9.8)(10)

ΔE = 85,017.6 J

The average force of friction of the hill is calculated as follows;

Fd = ΔE

where;

d = h/sin(2.5) = 10 m / sin(2.5) = 229.26 m

F(229.26) = 85,017.6

F = (85,017.6) / (229.26)

F = 370.8 N

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The statement that best describes the change in energy is the acorns potential energy decreases as it’s kinetic energy increases.

option A is the correct answer.

The law of conservation  of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

Based on the law of conservation of energy, the total mechanical energy of the acorn will be conserved as it rolls off the roof. This implies that the change in the kinetic energy of the acorn is equal to change in potential energy of the acorn.

ΔP.E = ΔK.E

where;

The potential energy of the acorn is greatest at the maximum height, and decreases as the acorn fall to the ground. As the potential energy of the acorn decreases, it is being converted into kinetic energy and consequently results in increases of the kinetic energy.

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Answer:

(Question) A city gets its electricity from a dam, where water is stored in a reservoir. How does the water provide the city with its power?

(Answer) Potential energy in the water becomes kinetic energy as it moves through turbines, which turn kinetic energy into mechanical energy that spins a generator, which changes mechanical energy into electricity.

(Question) An acorn rolls off a roof and falls to the ground. Which statement best describes the change in energy?

(Answer) The acorn’s potential energy decreases as its kinetic energy increases.

(Question) An airplane carries 320 passengers from Phoenix to Los Angeles flying at an average speed of 490 miles per hour. On the return flight, the plane carries 164 passengers and travels at the same average speed. What happens to the plane’s kinetic energy?

(Answer) On the return flight, the plane has less kinetic energy.

(Question) A racehorse is running at 42 miles per hour, equivalent to 18.8 meters per second. The horse and its jockey have a combined mass of 512 kilograms. How much kinetic energy do they have?

(Answer) 90,480.6 J

(Question) Which object has kinetic energy?

(Answer) balloon rising in the sky

(Question) Mr. Starr pushed a cart full of groceries to his car. After emptying the cart, he pushed it back to the store. He pushed the cart at a speed of 2 meters per second each way. Which is the best prediction?

(Answer) When it was empty, the cart had less kinetic energy.

(Question) A student fires a toy rocket into the sky. When does the rocket have the most potential energy?

(Answer) when the rocket reaches its highest point

(Question) What is the best description of one billiard ball hitting a second billiard ball?

(Answer) Most of the kinetic energy in the first ball is transferred to the second ball.

(Question) A roller-coaster car is at the top of a hill. The car and its passengers have a combined mass of 1,088 kilograms. If the hill is 62 meters tall, how much potential energy does the car have?

(Answer) 661,068.8 J

(Question) A roller-coaster is at the top of a 62-meter hill. The car and its passengers have a total mass of 1,088 kilograms. By the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). How much kinetic energy does the car have at the bottom of the hill?

(Answer) 592,416 J

(Question) A diagram is drawn showing a swing set with a swing pulled backward prior to release. The diagram shows how the swing will move forward and then backward after it is initially released. At which point in the diagram is all of the energy gravitational potential energy?

(Answer) when the swing is pulled back prior to release

(Question) essay

(Answer) good luck

(Question) essay

(Answer) good luck

Explanation:

I just completed the assignment.

The components of velocity v  have magnitudes of v x = v cos and v y = v sin, where v seems to be the magnitude of something like the speed and is its direction with respect to the horizontal.

Velocity, as opposed to speed, refers to the pace and direction of the an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.

Velocity is the rate at which displacement changes  Since it consists both of magnitude and direction, velocity is a vector quantity. Since acceleration is merely the rate at which velocity changes, it too is a vector quantity.

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The moment of the inertia of the system about the z axis and the rotational kinetic energy of the system is 143 Kg/m².

A body's resistance to having the speed of its rotation along an axis changed by the application of a torque is quantified by the term "moment of inertia" in physics (turning force). The axis might be internal or exterior, and it can be fixed or not.

Let, the distance of mass 2 kg from O to r₁

Therefore, r₁ = [tex]\sqrt{2^2 +3^2}[/tex]

r₁ = [tex]\sqrt{13}[/tex] m

the distance of masses to the rotational axis are same.

So, r₁ = r₂ = r₃ = r₄ = r = [tex]\sqrt{13}[/tex]

Hence, I = ∑ [tex]m_i r^2[/tex]

I = r² (m₁ + m₂ + m₃+ m₄)

I = 13 × (11)

I = 143 Kg/m²

So, the moment of the inertia of the system about the z axis and the rotational kinetic energy of the system is 143 Kg/m².

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Answer:

1) B. The use of heat to kill any microorganisms living in a substance

2) B. Burning coal to produce electricity

3) A. Because he misinterpreted the Burgess Shale fossil data

The two quantities agree within experimental uncertainty but not agree numerically.

There is no frictional force exerted on the puck, and the gravitational force and normal force are exerted on the puck and are equal in magnitude.

The mean value of F is: 10.52 N

The mean value of TA is: 10.6 N

So, the two quantities agree within experimental uncertainty but not agree numerically.

The puck on the table relates to a planet orbiting the sun because the force of tension is acted on the puck with its connection to the table using the string. Similarly, a planet has the force of gravity acting upon it is allowing it to orbit in its path.

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The angle from the vertical does the fish see the top of the fishermans head is 42.24 degrees and can be finded out by snells law.

According to Snell’s Law when light is incident on an interface separating two media, the angles of incidence and refraction, θ1 and θ2, are related,

n1 sin(θ1) = n2 sin(θ2)

where θ1 or θ2 is the angle between the normal to the interface and the direction in which incident or refracted wave is propagating. The quantities n1 and n2 are the indices of refraction of the two media.

While the speed of light is constant in a vacuum, the speed of light in air and in transparent solids is somewhat less. The ratio of the speed of light in a vacuum (c) to the speed of light in a solid (v) is called the index of refraction (n) of the solid.

Applying snells law,

nwater *sinα = nair *sinβ

nwater *sinα = sinβ

sinα = sinβ/nwater

sinβ = 1.33 sinα

AB = 3.5m-BC

AB = 3.5m-CDtanβ

AB = 3.5m-1.55*tanβ

Also, AB = 4.5m*tandα

4.5m*tandα = 3.5m-1.55*tanβ

4.5m*tandα = 3.5m-1.55*(sinβ/cosβ)

4.5m*tandα = 3.5m-1.55*1.33sinα/[tex]\sqrt{1-(1.33)^2*(sin\alpha )^2}[/tex]

α=42.24 degrees.

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The energy of 25 kg object is moving at a velocity or 10 ml is 1250J.

KE = 1/2mv²

The mass is m = 25kg

The velocity is v = 10ms⁻¹

KE = 1/2 × 25 × 10²

⇒ KE = 1250J

Hence, Kinetic energy is 1250J

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

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The average speed of the bowling ball 40 meter/second..

The pace at which an object's position changes in any direction is referred to as speed.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Si unit of speed be meter/second.

Given parameters:

Distance travelled by the ball: s = 32 meter.

Time taken by the ball: t = 0.8 second.

So, average speed of the ball = distance travelled/ time taken

= 32 meter/ 0.8 second

= 40 meter/second.

Hence,  the average speed of the bowling ball 40 meter/second.

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Answer:

Answer: I would apply a force to the right in order to push him in the direction of lunch.

Explanation:

The rock is actually 22.61 cm beneath the surface. For When viewed from above the surface of the stream at an angle with force, a boulder appears to be 17 cm below the surface of a smooth stream.

The length of a straight line, which is the shortest route between any two points in space, is the distance between them. In classical physics, particularly Newtonian mechanics, this is how distance is typically understood. In two- and three-dimensional space, the straight-line distance is mathematically codified as the Euclidean distance. A force in physics is an effect that has the power to alter an object's motion.

I = O na/nw

17 = O * 1/1.33

O = 17 * 1.33 = 22.61 cm

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The government started allowing reservations for Native Americans to use federal monies in 1954, but stopped by 1962.

The earliest phase of Indian encounters with Europeans is when the word "exclusive" originally appeared. A sizable portion of the Indians' country was "reserved" for their exclusive use through treaties. Indians were intended to live on reserves, which are frequently sparsely populated areas of land.

Displacement to reservations had two purposes for the United States. Native Americans were originally removed from the area to create room for westward territories. Second, it made it possible for the US to carry out a strategy to transform tribal villages into modest farming settlements.

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a. The chip thickness after the cut is 0.5 mm

b. The shear angle is 21.05

c. The shear strain is 3.086

The formula is

r = t / tc

where we have r = 0.4

t = 0.2

0.4 = 0.2 / tc

cross multiply

tc = 0.5 mm

b. The shear angle is the angle at which a chip will detach from the work piece when cutting metal.

tan ∅ = r cos α / 1 - r sin α

= 0.4 cos (-0.5) / 1 - 0.4 sin(-5)

= 0.385

∅ = tan ⁻¹0.385

∅ = 21.05

c. When a medium is subjected to a lateral force, shear strain results. It is possible to produce a shear force wave that moves perpendicular to the direction of the applied force.

r = cot ∅ + tan(∅ - α)

r = cot (21.05)+ tan(22.05 -(-5)

r = 2.598 + 0.488

= 3.086

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To determine the spring constant of the scale, you can use the formula:

k = (F / x)

where k is the spring constant, F is the force acting on the spring, and x is the displacement of the spring.

In this case, the force acting on the spring is the weight of the water bottle, which can be calculated using the weight = mass * gravitational acceleration formula:

F = m * g

where m is the mass of the water bottle in kilograms and g is the gravitational acceleration of 9.8 m/s^2.

Plugging in the values given, we get:

k = (F / x) = (m * g / x)

= (350 g / (11.5 cm - 10.0 cm))

= 307.8 g/cm

This is the spring constant of the scale. It represents the force required to stretch the spring by 1 centimeter.

The magnitude  of the net force on the rocket was found to be 42N

Define magnitude ?

What is magnitude in Physics, is surely an issue of tremendous relevance in science. Magnitude often relates to the quantity or distance. In regard to the movement, we may associate magnitude with the size and speed of the item while moving.

The magnitude of a thing or a quantity is its size. Like in terms of speed, a car is driving quicker than a motorbike. In this situation, the car's speed is greater than the motorbike's. Let's now discuss what magnitude in physics means.

the magnitude of the net force was determined by the equation.

∑F= ma

=6(7m/s²)

=42 N

the force was exerted upwards.

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The total volume occupied by two internal clamps, six 12 AWG conductors and one grounding conductor, and a single-pole switch is 20.25 cu in.

When counting the number of conductors in a box a conductor running through the box is counted as conductor S?

An unbroken conductor, passing through the box without splice or termination, can be counted as one conductor if it is less than two times the minimum length required for the free conductor in 300.14. For example, two conduits are entering opposite sides of a four-inch square metal box that has a depth of 1 1/2 inches.

How many amps can 12 AWG handle?
The twelve-gauge wire is good for 20 amps, 10-gauge wire is good for 30 amps, 8-gauge is good for 40 amps, and 6-gauge is good for 55 amps, and The circuit breaker or fuse is always sized to protect the conductor [wire].

12 AWG =2.25 cu. in. ( 6 x 2.25 = 13.5)

Device( 2 x 12 AWG cu. in.)= ( 2 x 2.25 = 4.5)

Clamp ( 1 x 12 AWG cu. in.)= ( 1 x 2.25 = 2.25)

13.5 + 4.5 + 2.25 = 20.25 cu. in.

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A heat pump's operating overall efficiency is just 15.88, claims the inquiry.

Heat energy is created by the movement of tiny atoms, ions, or atoms in solid, liquids, and gases. Overheating can be transferred of one thing to another. When two items are already at varying temperatures from one another, a movement or exchange called heat occurs. Atoms and molecules move more quickly and clash when the temperature rises, producing heat generated (also known as heat energy). The power that comes from the heated object's temperature is referred to as thermal energy.

Maximum COP of heat pump:

COP = [tex]T_{H} /T_{H} - T_{C}[/tex]

Here, [tex]T_{H}[/tex] =  271 K and [tex]T_{C}[/tex] = 288 K

Hence, COP = 271/288-271

COP = 15.88

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The wave speed of a wave is equal to its frequency multiplied by its wavelength.

Wavelength is a measure of the distance between two successive peaks of a wave. It is most commonly associated with light, sound, and other forms of electromagnetic radiation. It is the distance from one peak of the wave to the next, measured in meters. Wavelength is an important factor in determining the properties of a wave, such as its frequency, amplitude, and speed. It is also used to measure the wavelength of sound, radio waves, and other forms of electromagnetic radiation.

Therefore, the wave speed of a 44 Hz wave with a wavelength of 1 m is 44 m/s. This is because frequency is the number of waves passing a certain point in a certain amount of time (measured in hertz or Hz), while wavelength is the distance between two successive wave crests (measured in meters). Thus, when multiplied, these two values give us the wave speed, which is measured in meters per second (m/s).

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Answer:

4/3 ft/s

Explanation:

(3.01+2.99)/2 = 3.00

(4 ft)/(3.00 s) = 4/3 ft/s

Answer:

Explanation:

Given:

h = 882 km

R = 6371 km

___________

V - ?

Since the height of the orbit is much less than the radius of the Earth, then the acceleration of free fall g = 9.81 m/s²

Speed:

V = √ (g·(R+h)) = √ ( 9.81·(6371+882)·10³ ) ≈ 8 440 m/s  or

V = 8.44 km/s

Angle and frequency between neighboring zones for constructive interference are both 1.846 * 103⁻³ degrees and 6.44 * 10¹⁰ Hz, respectively.

The quantity of oscillations that pass a given point in one unit of time, as well as the number of passes or oscillations that an object in periodic motion experiences in one unit of time Multiple electrical frequencies cannot coexist without causing device damage, hence keeping a constant electrical rate is crucial. When it comes to supplying power on a national basis, this has important ramifications.

a). For Constructive interference;

[tex]$$\begin{aligned}& d \sin \theta=m \lambda \\& \theta=\sin ^{-1}\left(\frac{m \lambda}{d}\right)=\sin ^{-1}\left(\frac{1 \times 580 \times 10^{-9}}{0.018}\right) \\& \theta=1.846 \times 10^{-3} \text { degreees }\end{aligned}$$[/tex]

Angle between nearby constructive interference zones;

[tex]$$\Delta \theta=1.846 \times 10^{-3}-0=1.846 \times 10^{-3} \text { degrees }$$[/tex]

b). [tex]$0.018 \sin 15=1 \times \lambda$[/tex]

[tex]$\lambda=4.66 \mathrm{~mm}$[/tex]

Frequency;

[tex]$$\begin{aligned}& \mathrm{f}=\mathrm{c} / \mathrm{lambda}=\left(3^* 10^8\right) /\left(4.66^* 10^{-3}\right) \\& \mathrm{f}=6.44^* 10^{10} \mathrm{~Hz}\end{aligned}$$[/tex]

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The complete question is-

Raise your hand and hold it flat. Think of the space between your index finger and your middle finger as one slit, and think of the space between middle finger and ring finger as a second slit.

(a) Consider the interference resulting from sending coherent visible light perpendicularly through this pair of openings. Calculate the angle between adjacent zones of constructive interference, assuming the width of your middle finger to be 2.7 cm and the wavelength of the light to be 700 nm.

(b) To make the angles in the interference pattern easy to measure with a plastic protractor (e.g., for which the angle between the central maximum and the adjacent ones is 15), you should use an electromagnetic wave with what frequency?

Hz

How is this wave classified on the electromagnetic spectrum?

Young's modulus for the rope 5.462 × [tex]10^{9}[/tex]N/m²

Mass is  70 kg

F = mg = 70 × 9.8N

F = 686N

ΔL = 8cm

A = πr² = 0.785 ×[tex]10^{-4}[/tex]

Y = F/A l/Δl = 686 × 50 /  0.785 ×[tex]10^{-4}[/tex] × 8 × [tex]10^{-2}[/tex]

Y = 5.462 × [tex]10^{9}[/tex]N/m²

Young's modulus (displaystyle E), also known as the Young modulus or the modulus of elasticity in tension or compression (i.e., negative tension), is a mechanical characteristic that gauges the stiffness of a solid material under tensile or compressive tension when a force is applied longitudinally. Using the formula, it quantifies the relationship between axial strain and tensile/compressive stress in the linear elastic zone of a material. Axial strain is measured as the proportionate deformation of the relationship between axial strain and tensile/compressive stress. Young's modulus was first introduced by Leonhard Euler in 1727, while being named after the 19th-century British scientist Thomas Young. Giordano Riccati, an Italian physicist, conducted the first experiments in 1782 that utilized the idea of Young's modulus in its current form, 25 years before Young's work.

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The values of time (t) = 7.20, 0.62, and the model rocket is launched with an initial upward velocity of 125 ft/s and height of h.

The directional speed of an object in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

height of the rocket is given as,

h = 125t - 16t²

now, when h = 71 then,

71 = 125 t - 16 t²

16 t² - 125t + 71 = 0

Using the quadratic formula, we have:

          - (-125) + √ (-125)² - 4 × 16 × 71

t =             ____________________

                              2 × 16

           125 + √11081                               125 - √11081

t =         _________                   t =         _________

                  32                                                 32

t = 7.20,   t = 0.62

Hence, the values of time (t) = 7.20, 0.62.

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The chemical symbol used is 2K + 2I to complete the equation for the decomposition reaction.

Decomposition reaction is defined as a chemical reaction when the reactant or molecule breaks down into less complex compounds Consequently, when a single reactant splits into two or more products.  Because two or more reactants are combined to create a single product in a combination reaction, they are known as the opposite of a combination reaction.

One reactant produces two or more products during a decomposition process. Iodine and potassium will be produced as potassium iodide breaks down. With two K and two I on each side, this equation is balanced. It can be described using the all-inclusive formula: AB --> A + B.

Thus, the chemical symbol used is 2K + 2I to complete the equation for the decomposition reaction.

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Answer:     [tex]8.93 V[/tex]

                         ,        V=IR  

                        V=1.9*4.7

                          =8.93 V    

a 1500 watt hair dryer uses 1500 J every second.

1500 J = 1500 Ws = 1500/3600 Wh = 0.000417 kWh

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Answer:

A stronger force can cause a greater change in velocity.

Explanation:

Forces affect how objects move. They may cause motion; they may also slow, stop, or change the direction of motion of an object that is already moving. Since force cause changes in the speed or direction of an object, we can say that forces cause changes in velocity. Remember that acceleration is a change in velocity.

Required the moment of inertia of the merry go round.

a. I = 12 MR2 is the formula for the merry-go-moment round's of inertia.

I = ½ * 231 * (1.3 * 1.3)

I = 195.195 kgm2

b. The boy's angular speed is specified as = v/R = 2.5/1.3 = 1.92 rad/s.

c. I' = I + mR2 is the formula for the merry-go-moment round's of inertia following the boy's jump on it.

I’ = 195.195 + 48 * (1.3 * 1.3)

I’ = 276.315 kg/m2

The conservation of angular momentum principle determines the merry-go-angular round's speed. As a result, I (0) + m R = 'I' and = (48 * 1.92* 1.3) / 276.315 = 0.433 rad/s

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Answer:

I think the answer is 54 cm