For the roller coaster shown below, a hydraulic catapult propels the car to the top of the ride, at a height of 405 ft. If the car and occupants weigh 1188 lb, what would be the potential energy of the loaded car at the top in joules?

Answer:

The units of kinetic energy are mass times the square of speed, or kg⋅m2/s2 kg ⋅ m 2 /s 2. But the units of force are mass times acceleration, kg⋅m/s2 kg ⋅ m/s 2, so the units of kinetic energy are also the units of force times distance, which are the units of work

Explanation:

EDGE 2021

Answer:

A producer needs the sun to make its own food, because producers use photosynthesis. In photosynthesis you use the sun to turn the air people breathe out and water into glucose and oxygen.

Explanation:

Hope this helps ^-^

Answer:

I think it's shape the shape of the samples

Given

half life in 6m

Initial 680g

Procedure

This is the model we can use to calculate the decay. But we must recognize the values of a and of h

The value of a corresponds to the initial value of the population, which in our case is 680g.

While the value of h will be the number of minutes it takes to reach its half-life. Therefore:

With this formula, we can now proceed:

If the dog walked at a constant speed the whole way, the graph of the dog's position versus time would be a straight line. This is because the dog's velocity (which is the derivative of position with respect to time) would be constant, and the acceleration (which is the derivative of velocity with respect to time) would be zero.

A straight line on a position-time graph indicates that the object is moving at a constant velocity. The slope of the line would be equal to the velocity of the dog.

If the graph is a horizontal line, it would indicate that the dog is at rest. If the line slopes upward, the dog is moving in the positive direction (for example, to the right in a position-time graph), and if the line slopes downward, the dog is moving in the negative direction.

In all, A constant speed means a constant velocity and the line is a straight line with a particular slope.

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Answer:

To calculate the work done by a force, we can use the formula:

Work = ∫F dx

In this case, the force is given by Fx = (2x + 7) N, and the particle moves along the X-axis from X1 = 1 m to X2 = 5 m. Let's calculate the work done.

Work = ∫(2x + 7) dx

Integrating the function (2x + 7) with respect to x, we get:

Work = (x^2 + 7x) evaluated from X1 to X2

Plugging in the values X2 = 5 and X1 = 1 into the expression, we have:

Work = (5^2 + 7 * 5) - (1^2 + 7 * 1)

= (25 + 35) - (1 + 7)

= 60 - 8

= 52

Therefore, the work done by the force is 52 Joules (J).

Explanation:

Explanation: Momentum: It is defined as the motion of a moving body. Or it is defined as the product of the mass or velocity of an object.

The formula of momentum is: p=mt

where,  

p = momentum =?

m = mass = 1.5 kg

v = velocity = 10 m/s

Now put all the given values in the above formula, and we get:

p = 1.5 kg * 10 m/s

p = 15kg.m/s

Therefore, the momentum of the ball is 15 kg.m/s

Answer:

2

Explanation:

Because 2 waves 4 secs means 1 in 2s

The period of these waves is 2s. and The right option is A)2s.

The period of a wave is the time taken by a wave to complete one cycle.

The formula of period from the question is given below.

⇒ Formula:

⇒ Where:

From the question,

⇒ Given:

⇒ Substitute these value above into equation 1

Hence, The period of these waves is 2s.

The right option is A)2s

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The radius of a hemisphere with a volume of 61326 ft^3 , to the nearest tenth of a foot is 30.827 f.

The volume of a sphere with radius R is known to be:

V = (4/3)*pi*R^3

in where pi = 3.14

A hemisphere is half a sphere, its volume is half that of a sphere, and its volume is as follows for a hemisphere of radius R:

V' = (1/2)*(4/3)*pi*R^3

Now that we are aware of the volume of our hemisphere:

V' = 61326 ft^3

The equation is then easy to solve:

61326 ft^3 = (1/2)*(4/3)*pi*R^3

For R.

(We need the diameter, but knowing the radius is a good place to start because the diameter is equal to two times the radius.)

61326 ft^3 = (1/2)*(4/3)*pi*R^3

61326 ft^3 = (4/6)

*3.14*R^3

61326 ft^3*(6/4*3.14) = R^3

∛( 61326 ft^3*(6/4*3.14) ) = R = 30.827 f

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The tension in the swing's chain at the instant shown in the image is 441.6 N.

option D

At the bottom of the swing, the girl is traveling at a constant speed, so her acceleration is zero. Therefore, the net force acting on her is also zero.

Thus, we have:

0 = T - mg - mv²/r

where;

At the bottom of the swing, the radius is equal to the length of the chain, so we have:

r = L = 4.0 m

Substituting the values we have:

T = (32 kg)(9.8 m/s²) + (32 kg)(4 m/s)²/4.0 m

Solving for T, we get:

T = (32 kg)(9.8 m/s²) + (32 kg)(4 m/s)²/4.0 m

T = 441.6 N.

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It's important to know that a comet has a tale, a nucleus, and a coma.

The nucleus refers to the center of the "head" of the comet.

Hence, the answer is Nucleus.

The magnitude of the resultant vector, representing the actual path of the boat, is approximately 1.42 m/s.

To find the magnitude of the resultant vector, we need to consider the boat's velocity and the velocity of the river. The boat's velocity is given as 0.75 m/s, and the river's velocity is given as 1.2 m/s.

Since the boat is moving in a river, we can think of the boat's velocity as a combination of two velocities: its own velocity and the velocity of the river. The resultant vector represents the actual path of the boat, considering both velocities.

To calculate the resultant vector, we can use vector addition. The magnitude of the resultant vector can be found by taking the square root of the sum of the squares of the boat's velocity and the river's velocity. Mathematically, we have:

Resultant magnitude = √(boat velocity^2 + river velocity^2)

Plugging in the given values, we have:

Resultant magnitude = √(0.75^2 + 1.2^2)

= √(0.5625 + 1.44)

= √2.0025

≈ 1.42 m/s

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The correct statement describing the relationship between the electric field and the motion of the electron is (A) - The electron experiences a force of magnitude F=qE at point A, which accelerates the electron in the direction of the electric field.

As the electron is placed in a uniform electric field of magnitude E directed to the right, it experiences a force of magnitude F=qE in the same direction. This force accelerates the electron in the direction of the electric field.

Hence, the electron moves from point A to point B due to the force exerted on it by the electric field. Therefore, option (A) is the correct statement that describes the relationship between the electric field and the motion of the electron.

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Answer: You feel the gravitation on the Earth greater

Explanation:

Because the mass of the Earth is heavier than the Moon, you can replace specifi number of the weight of the Moon and the man compare the weight of the Earth and the man into the formula!

The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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To calculate the weight of the block, we can use the formula:

Weight = Mass x Gravity

Where gravity is approximately 9.8 m/s^2.

First, we need to find the mass of the block. We can use the formula:

Density = Mass / Volume

The volume of the block is:

Volume = Length x Width x Height

Volume = 10 cm x 3 cm x 2 cm

Volume = 60 cm^3

We don't know the density of the metal, so we can't calculate the mass directly. However, we can use the spring balance reading to find the weight of the block.

The spring balance has a maximum reading of 10 Newtons, which corresponds to a length of 20 cm. When the block is hung on the balance, it stretches the string by 15 cm. The extension of the spring is proportional to the weight of the block, so we can use the following proportion:

Extension of spring / Total length of spring = Weight of block / Maximum weight of spring balance

Substituting the values we have:

15 cm / 20 cm = Weight of block / 10 N

Solving for the weight of the block:

Weight of block = 7.5 N

Now we can find the mass of the block:

Mass = Weight / Gravity

Mass = 7.5 N / 9.8 m/s^2

Mass = 0.765 kg

Finally, we can calculate the density of the metal:

Density = Mass / Volume

Density = 0.765 kg / 60 cm^3

Density = 0.01275 kg/cm^3

So the weight of the block is 7.5 N, the mass of the block is 0.765 kg, and the density of the metal is 0.01275 kg/cm^3.

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A defining characteristic of a city is often referred to as a "landmark." A landmark is a distinctive feature or building that stands out and is used to identify or represent a location. Landmarks can be man-made, such as structures, monuments, or historical locations, or they can be natural, like mountains, rivers, or lakes.

Landmarks are significant tourist destinations for both locals and visitors because they frequently have historical, cultural, or architectural value. They can serve as a symbol of a city's identity, history, and personality and end up being recognised as the place's iconic symbols. Landmarks might be notable buildings, statues, cathedrals, museums, or bridges that have come to symbolise the city in which they are located.

Therefore, option (OB) "landmark" is the term used to describe a distinguishing feature in a city.

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Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Answer:    Vf = Vi + A(t)

Vf= -2+ (-9.8)(5)

Vf = -51 m/s

Explanation:

The final velocity is equal to the initial velocity plus the acceleration multiplied by the time

(-9.8) is used for the acceleration for this question because that is the speed at which things in free fall accelerate when they are on earth

-2 is used as the initial velocity because the ball was thrown in the negative direction which is down.

The time of 5 was given in the question so you can plug it in for time

Answer:

Explanation:

Given:

V₀ = 2 m/s

g = 9.8 m/s²

t = 5 s

____________

V - ?

Axis OX direct vertically down. Then:

V = Vₓ = V₀ₓ + g·t

V = 2 + 9.8*5 = 51 m

Answer:

a = 0.009 J

b = 0.19 m/s

c = 0.005 J and 0.004 J

Explanation:

Given that

Mass of the object, m = 0.5 kg

Spring constant of the spring, k = 20 N/m

Amplitude of the motion, A = 3 cm = 0.03 m

Displacement of the system, x = 2 cm = 0.02 m

a

Total energy of the system, E =

E = 1/2 * k * A²

E = 1/2 * 20 * 0.03²

E = 10 * 0.0009

E = 0.009 J

b

E = 1/2 * k * A² = 1/2 * m * v(max)²

1/2 * m * v(max)² = 0.009

1/2 * 0.5 * v(max)² = 0.009

v(max)² = 0.009 * 2/0.5

v(max)² = 0.018 / 0.5

v(max)² = 0.036

v(max) = √0.036

v(max) = 0.19 m/s

c

V = ±√[(k/m) * (A² - x²)]

V = ±√[(20/0.5) * (0.03² - 0.02²)]

V = ±√(40 * 0.0005)

V = ±√0.02

V = ±0.141 m/s

Kinetic Energy, K = 1/2 * m * v²

K = 1/2 * 0.5 * 0.141²

K = 1/4 * 0.02

K = 0.005 J

Potential Energy, P = 1/2 * k * x²

P = 1/2 * 20 * 0.02²

P = 10 * 0.0004

P = 0.004 J

The total energy of the system is 0.009 J

The maximum speed of the object is 0.19 m/s

The kinetic and potential energies of the system when the displacement is 2.00 cm are 0.005 J and 0.004 J respectively

The object is under simple harmonic motion.

Given that the mass of the object m =0.5 kg , spring constant k = 20N/m

(a) The total energy of the system in SMH,

\(E=\frac{1}{2}kA^2\)

If the amplitude of motion A = 3cm = 0.03m, then total energy

\(E=\frac{1}{2}*20*0.03*0.03 J\\\\E = 0.009J\)

E = 0.009J is the total energy of the system.

(b) maximum speed of the object

the maximum kinetic energy of the object = total energy of the object

\(\frac{1}{2} m(v_{max})^{2} =E\\\\v_{max}=\sqrt{2E/m}\\\\v_{max}=\sqrt{2*0.009/0.5}\\\\v_{max}=0.19m/s\)

0.19 m/s is the maximum speed

(c) KE and PE when x = 2cm = 0.02m

potential energy at x = 0.02

\(PE=\frac{1}{2}kx^2\\\\PE=\frac{1}{2}*20*0.02*0.02\\\\PE= 0.004J\)

Now, Kinetic energy + potential energy = total energy

KE + PE = E

KE = E - PE

KE = 0.009J - ).004J

KE = 0.005J

The kinetic and potential energies are 0.005 J and 0.004 J respectively.

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Explanations:

a) The physical properties of a mineral is as a result of the arrangement of the atoms in the minerals. The reason behind one mineral having a density of 2.1 g/ml which is lower than that of another mineral with density of 5.1 g/ml is the packing density of the minerals. Minerals with high density have their atoms more closely packed together, leaving less space between the atoms. This characteristics means that they have more atomic mass per unit volume for a given molecular space, when compared to another mineral with its atoms less closely packed.

b) The property of cleavage is due to the crystalline structure of a mineral species. Cleavage is used to describe the ease with which minerals cleaves. Cleavage is due to a weak bonding strength between the molecules of the mineral, or a due to a greater lattice spacing across the the cleavage plane than in other planes within the crystal. The greater the lattice spacing, the weaker the strength of the bond across a plane.

From these, we can clearly see that the property of cleavage is due to the physical properties of the crystalline structure of the mineral species.

a) The time that the ball is in the air is 0.23 second.

b)  The initial horizontal velocity of the ball is 11.74 m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction.

Vertical height of the point = 1.0 meter.

The horizontal distance travelled by the ball = 2.7 m.

a) The time that the ball is in the air is = √(H/2g)

= √(1.0/2×9.8)

= 0.23 second

b) The initial horizontal velocity of the ball is = 2.7 m/0.23 s

= 11.74 m/s

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The distance from A to B is 39.375 Km.

The total distance travelled by the cyclist is given by the formula below:

Total distance = (15 + 20)/2 * 4.5

Total distance = 78.75 Km

Thus, distance from A to B = 78.75/2 = 39.375 Km

In conclusion, the total distance travelled is determined from the average speed and total time taken.

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In one-third of all collisions between motorbikes and cars, the car driver claims he simply did not notice the motorcycle. when both the suspect and officer automobiles were totaled as a result.

Of pit maneuvers performed by professional officers. A police car is usually fortified for this and is heavy. It's likely that a light vehicle attempting a pit maneuver will sustain significant damage. If a novice tried this, they would probably get it incorrect and make a worse hazard. Officers and bystanders may potentially suffer damage as a result. The police are unsure of your intentions—whether you're trying to assist them for collisions, the suspect, or a different criminal who wants to hurt him or her. You'll be charged with several crimes due to speed, including obstruction and assault with a deadly weapon, for this action.

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The best analogy for how gravity creates stars is when water drops fall from a chilly window onto a sand building, which eventually crumbles.

Gravity, on the other hand, is a force inside the broadest sense since it characterizes the resultant interaction between two masses. Both the motion of objects through stretched spacetime and the warping of spacetime are the main origins of gravitational influence. The effect, however, appears to be the result of using force.

This force's strength is influenced by the mass of the each object and the separation between their centers. According to mathematics, the gravitational pull of an object is directly proportional to its mass and inversely proportional to the square of its distance from another object.

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The mean of 6 numbers is 25. If one of the remaining numbers is removed, the average of the remaining numbers is 15. The number that was removed is 75.

To solve this problem, we can use the concept of the mean (average) and apply it to the given information. Let's go through the steps to determine the number that was removed.

Step 1: Find the sum of the 6 numbers.

Since the mean of the 6 numbers is 25, we can multiply the mean by the total number of values to find the sum. In this case, 25 * 6 = 150.

Step 2: Find the sum of the remaining numbers.

To find the sum of the remaining numbers, we need to subtract the number that was removed from the original sum. Let's denote the number that was removed as "x". Therefore, the sum of the remaining numbers is 150 - x.

Step 3: Determine the number of remaining numbers.

Since one number was removed, the total number of remaining numbers is 6 - 1 = 5.

Step 4: Calculate the average of the remaining numbers.

We are given that the average of the remaining numbers is 15. To find the sum of the remaining numbers, we can multiply the average by the number of remaining numbers. Therefore, 15 * 5 = 75.

Step 5: Set up the equation and solve for the removed number.

Now we can set up the equation using the information from Steps 2 and 4. We have the equation: 150 - x = 75.

Step 6: Solve the equation.

To find the value of x, we can solve the equation. Subtracting 75 from both sides gives us 150 - 75 = x, which simplifies to x = 75.

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The equivalent resistance between points A and B is 0.837Ω.

Resistors in series are connected end-to-end so that the current flows through them in sequence. The equivalent resistance of resistors in series is the sum of their individual resistances.

The formula for equivalent resistance of resistors in series: R_eq = R_1 + R_2 + ... + R_n

Resistors in parallel are connected across each other so that the voltage is the same across each resistor. The equivalent resistance of resistors in parallel is the reciprocal of the sum of the reciprocals of their individual resistances.

The formula for equivalent resistance of resistors in parallel: 1/R_eq = 1/R_1 + 1/R_2 + ... + 1/R_n

Here in the Fig.

we can simplify the second set of resistors in parallel (4.8 Ω, 3.3 Ω, and 8.1 Ω) using the same formula:

1/Req1 = 1/4.8 + 1/3.3 + 1/8.1

Req1=1.575Ω

This Req1 connected series with 6.3Ω, then Req of this two resistance given by:

Req2= 1.575Ω+ 6.3Ω

Req2=7.875Ω

Once again this req2 makes the parallel with the other two resistance i. e 1.5Ω and 2.5Ω

Their equivalent resistance  is given by,

1/Req3=1/1.5 + 1/2.5 + 1/7.875

Req3=0.837Ω

Hence, The equivalent resistance between points A and B is 0.837Ω

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The gravitational force on planet X is one-eight (¹/₈) of the magnitude of gravitational force on planet Y.

The gravitational force on each planet is directly proportional to the product of mass of the planet and the tennis ball and inversely proportional to the square of the radius of the planets.

F = GmM/r²

where;

The gravitational force on planet X is written as;

F_X = Gm(mt) / r²

where;

The gravitational force on planet Y is written as;

F_y = G(½m)(mt) / (¼r)²

F_y = ½(Gm(mt) / (¹/₁₆ r²)

F_y = (16 Gm mt)/(2r²)

F_y = 8(G m(mt) ) / r²

F_y = 8(F_X)

F_X = ¹/₈(F_Y)

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Weight is best defined as C) the force of gravity on an object.