Compute the work required to stretch a spring from 6
to 13 cm past equilibrium, assuming that the spring constant is =180 kg/s2.

Answer:

\(\huge\boxed{\sf a = 6.4 \ m/s^2}\)

Explanation:

Horizontal Force = 40 N

Frictional Force = 8 N

Mass = m = 5 kg

Acceleration = a = ?

\(\displaystyle a =\frac{F}{m}\)

Since frictional force is opposing force, the resultant force will be horizontal force minus frictional force.

So,

Force = 40 - 8

Force = 32 N

So,

\(\displaystyle a = \frac{F}{m} \\\\a =\frac{32}{5} \\\\a = 6.4 \ m/s^2\\\\\rule[225]{225}{2}\)

Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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The maximum compression of the spring is 0.146 m.

The work done by the block when it slides down the ramp will be converted to elastic potential energy of the spring.

W = U

Fd = U

where;

mgsin(θ) x d = ¹/₂kA²

\(A^2 = \frac{2mg sin(\theta)d}{k} \\\\A = \sqrt{\frac{2mg sin(\theta)d}{k}} \\\\A = \sqrt{\frac{2(5 \times 9.8) sin(30)\times 1.3}{3\times 10^3}}\\\\A = 0.146 \ m\)

Thus, the maximum compression of the spring is 0.146 m.

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The answer is 30

Ie 10x3=30

Answer: I buleve it’s B 1.5C

Explanation: I took the quiz

Hope this helps and have a nice day!

Measurements in seconds, kilograms, meters, and kelvins are all SI units.

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The linear speed will be the insect be 0.5759 meter/second carried collision with the near stationary photograph.

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Given that an insect lands 0.1m from the center of the turn table.

Rotational speed of the turn table = 55 rev/min

= (55×2π/60) rad/second

= 5.759 rad/second.

Hence, the speed of the insect be = Rotational speed × length

= 5.759 rad/second × 0.1 M.

= 0.5759 meter/second.

Therefore, the speed of the insect be 0.5759 meter/second.

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Answer: The Boat will rise

Explanation: Because high amplitude means high in heights.

Answer:

Force of gravity, F = 70 N      

Explanation:

It is required to find the force of gravity acting on an object that has a mass of 7 kg. Force of gravity always acts in downward direction.

The force of gravity is equal to the weight of an object. It is given by :

\(F=mg\)

g = acceleration due to gravity, for Earth, g = 10 m/s²

So,

\(F=7\times 10\\\\F=70\ N\)

So, 70 N of force of acting on an object.

He can increase the total energy of the system by spinning the top faster.

The term energy refers to the ability to do work. The total energy of the system refers to the gravitational potential energy and the rotational energy of the  top.

Hence, he can increase the total energy of the system by spinning the top faster.

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The wavelength of this wave is 1 meter (option d).

To determine the wavelength of a longitudinal wave, we need to find the distance between two consecutive compressions or rarefactions. In this case, the distance between the center of the fifth compression and the center of the ninth compression is given as 4 meters. Since there are four compressions between the fifth and ninth compression, the total distance covered by these four compressions is 4 meters. Therefore, the average distance between consecutive compressions is 4 meters divided by 4, which is 1 meter. The wavelength of a longitudinal wave is the distance between two consecutive points with the same phase, which, in this case, is the distance between consecutive compressions. It is important to note that the number of compressions or rarefactions does not directly affect the wavelength. The wavelength is determined by the distance between consecutive points with the same phase. In this case, the given information allows us to calculate the average distance between consecutive compressions, giving us the wavelength of the wave. (option d).

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Answer:

920000

Explanation:

Each kg contains 1,000 grams

In order to solve this question, first let's analyze the potential energy of a mass:

The potential energy is directly proportional to the height of a mass.

Therefore, if the height doubles, the potential energy also doubles.

Since all the potential energy will be converted and used when the stone penetrates the mud, and in the second case the stone has double the energy, therefore the stone will penetrate twice as far in the mud.

So the correct option is 3.

Answer:

A

Explanation:

A constant velocity means the position graph has a constant slope. It's a straight line sloping up.

Let's put the given values into the formula below and get the result;

We know the numerical value of speed. We also know the mass. We can jump straight to the conclusion.

The Kinetic Energy is 25J.

If we want to accelerate an object, we must apply force on it, after applying Force some work has to be done in which energy should be transferred to the object. The energy is known as kinetic energy. The kinetic energy always depends on the mass and the velocity. It is denoted as K and the Si unit is Joules (J).

To calculate the Kinetic Energy,

           K= 1/2 mv^2

m = mass  

v = velocity

K = kinetic energy

In solving the above equation,

K = 1/2 x2 x 5^2

K = 5x5

K = 25

The Kinetic Energy is 25J.

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The statement "B. Gravity exists only on Earth" and the statement "E. Gravity doesn't exist between Earth and the sun"  is not true about gravity.

Gravity is a fundamental force of nature that exists in the whole universe, not just on Earth. It is a force that acts between any two objects that have mass. This means that statement "C. Gravity is a force that pulls two objects together" and "D. Gravity exists between two objects that have mass" are both true. Gravity plays a significant role in the functioning of our solar system. The sun's gravitational force acts on the planets, including Earth, keeping them in their orbits. Similarly, Earth's gravitational force attracts objects towards its center, giving weight to objects on its surface. Gravity is the force that holds Earth in orbit around the sun and is responsible for the planets' motion in the solar system. Gravity is a universal force that exists throughout the universe, acts between objects with mass, and plays a crucial role in celestial bodies' movements, including the interaction between Earth and the sun.

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Answer:

The last one

Explanation:

on the exam

Among the following the derived demands are options 1 and 3 only. Because in each case, the demand for one thing is originated  by the demand for another.

The phrase derived demand in economics refers to the demand for a factor of production or intermediate good that results from the demand for another intermediate or final good. In essence, consumer demand for the firm's product determines how much a firm will need.

Additionally, if activity in one area rises, any sector that contributed to the success of the first sector may also experience growth. Here, the school is hiring more teachers because enrollment is increased. Thus, enrolling more teachers satisfies the demand by greater enrollments.

Similarly by recruiting more construction workers the increased demand for new house by people can be solved. However, the second case for filling the attendance is a necessary and not a derived demand.

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Since the rope is not moving, the 300N tension acts as if the other end of the rope were fixed to a certain location for each team. It must exert an equivalent and opposing horizontal force, thus it is 300N as well.

The tension in the rope during a tug-of-war is caused by pulling forces at both ends. Since there is a 250 N pulling force at either end, but it pulls in the opposite direction, the tension on the rope will be caused by these two pulling forces together. When two opposing forces of 100N each are applied to the ends of a rope, the tension in the rope will be zero because the opposing forces, despite having the same magnitude, operate on the same body in opposing directions and cancel one another out.

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Answer: B

Explanation: The best answer is B. A baseball thrown by a professional pitcher. Momentum is the product of an object's mass and its velocity. Since the baseball has the greatest velocity of all the objects listed, it has the greatest momentum.

The pitch of a note is the same as its frequency.

Remember that te timbre depends on the shape and other properties of the vibrating object. The loudness is related to the amplitude of the wave, and the wavelength of sound is inversely proportional to the frequency.

On the other hand, the frequency of the sound of a string is proportional to the square root of the tension in the string. Then, if the tension increases (if the string is tightened), the frequency will also increase (and if the frequency increases, the wavelength decreases).

Therefore, the parameter that increases when a string of a stringed instrument is tightened, is the pitch.

Therefore, the answer is:

Coefficient of Kinetic Friction = 0.2

Mass of the crate = 1000 kg

Force applied = 2000 N

Normal force is the force applied on the object by the surface. It is equal and opposite to the force of gravity

So, we can say that Normal force = | Gravitational Force |

Normal Force = | mg |

Normal Force = 1000 * 9.8

Normal Force = 9800 N

We know that:

coefficient of Kinetic friction = Friction force / Normal force

replacing the known values

0.2 = Friction force / 9800

Friction Force=  0.2 * 9800

Friction Force = 1960 N

We know that a force of 2000 N is being applied on the crate in the Horizontal direction

Frictional force is always opposite to the horizontal force. So, we can say that:

Applied force - Friction Force = Net Force

replacing the variables

2000 - 1960 = Net force

Net Force = 40N

Therefore, a net force of 40N is being applied on the Crate

From newton's second law of motion:

F = ma

replacing the variables

40 = 1000 * a

a = 40/1000

a = 0.04 m/s²

Hence, the crate will have an acceleration of 0.04 m/s²

It is not possible to calculate the wave function of the Hamiltonian operator using the energy and the energy formula \(E = mc^2.\)

The Hamiltonian operator is a mathematical representation of the total energy of a physical system in quantum mechanics. The energy of an electron in an atom is given by the Schrödinger equation, which is solved using the Hamiltonian operator.

The energy of an electron in an atom is given by the formula:

\(E = h * nu\)

where h is Planck's constant and nu is the frequency of the electron.

In your question, the value of the Hamiltonian operator is given in metric tons, which is a unit of mass, not energy. The energy of an electron can be calculated using Einstein's famous equation,\(E = mc^2,\) where m is the mass of the electron and c is the speed of light. However, the mass of an electron is extremely small and is usually expressed in kilograms or electron volts.

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Answer:

Porsche = 180 kmph

Ferrari = 200 kmph

Explanation:

Given that

The distance of one lap = 2 km

The distance the Ferrari laps the Porsche = 9 laps

The distance the Ferrari will lap the Porsche with 10 km/h less speed = 18 laps

So we say let,

the speed of the Ferrari = S(f),

the speed of the Porsche = S(p), and

the time that lapse before two cars lapped = t

From the question, we're told that

(S(f) * t1) - (S(p) * t1) = 2 km, also

S(p) * t1 = 9 * 2 = 18 km

Referring back to the initial equation

(S(f) * t1) = 2 + (S(p) * t1)

(S(f) * t1) = 2 + 18 = 20 km

Going back to the question again, we're told that

(S(f) - 10) * t₂ - S(p) * t₂ = 2 km

S(p) * t₂ = 18 * 2 = 36 km

So that,

(S(f) - 10) * t₂ = 2 km + S(p) * t₂

(S(f) - 10) * t₂ = 2 + 36 km = 38 km

(S(f) - 10) * t₂ = 38 km

S(p) * t₂ (36 km) = 2 * S(p) * t₁ (18 km),

S(p) * t₂ = 2 * S(p) * t₁, collect like terms

t₂ = 2t₁

(S(f) - 10) * 2t₁ - S(p) * 2t₁ = 2 km

(S(f) - 10) * 2t₁ = 38 km

(S(f) - 10) * 2t₁ = 38 km

2t₁ * S(f) - 2t₁ * 10 = 38 km

S(f) * t₁ = 20 km,

2 * 20 km - 2t₁ * 10 = 38 km

2t₁ * 10 = 2 * 20 km - 38 km

2t₁ * 10 = 2 km

20t₁ = 2 km

t₁ = 2/20 = 0.1 hour = 6 minutes

This means that

S(p) * t₁ = 18 km

S(p) * 0.1 h = 18 km

S(p) = 18 km/0.1 h = 180 km/h

The speed of the Porsche = S = 180 km/h

S(f) * t₁ = 20 km

S(f) × 0.1 h = 20 km

S(f) = 20 km/0.1 h = 200 km/h

The speed of the Ferrari = S = 200 km/h

Answer:

(a) 10 s

(b) 30 m/s

(c) 150 m

Explanation:

The motorist's position at time t is:

x = 15t

The officer's position at time t is:

x = ½ (3) t² = 1.5 t²

(a) When they have the same position, the time is:

15t = 1.5 t²

t = 0 or 10 s

(b) The officer's speed is:

v = 3t

v = 30 m/s

(c) The position is:

x = 15t = 150 m

Answer:

the amplitude of the wave

the energy of the wave

the type of wave

the type of medium

The temperature of a substance is determined by the average kinetic energy of its particles, so Substance X and Substance Y have higher temperatures because their particles have more kinetic energy. The number of particles does not affect temperature. The correct options are (A) and (C).

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Answer:

10N to the left side towards you

Explanation:

The net force is the resultant force that acts on a body.

Force is a push or pull on a body.    

 Push to left side  = 25N

 Pull to the right  = 15N

Net force  = Push to left side   -  Pull to the right  = 25N  - 15N

 Net force  = 10N to the left side towards you

The net force is therefore 10N to the left side towards you

Jack is right.  If the ball continues to fall for three times as long, the average speed of the ball will be smaller than 9 m/s, because if the time of motion of an object increases, the speed at which it falls decreases.

The time of motion of the ball is calculated as follows;

h = vt + ¹/₂gt²

where;

The initial vertical velocity of the ball = 0

h = 0 +  ¹/₂gt²

h =  ¹/₂gt²

t = √(2h / g)

t = √(2 x 2 / 9.8)

t = 0.64 m/s

The given time of motion of the ball = 0.67 second

If the ball continues to fall for 3 times as long, new time of motion of the ball = 3 x 0.67 s = 2.01 s

The average speed of the ball at this speed is calculated as;

s = [(u + v)/2 ]t

s = [(0 + v) / 2]t

s = (vt) / 2

vt = 2s

v = 2s / t

v = (2 x 2 m) / (2.01 s)

v = 1.99 m/s

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