What is the definition of inertia

The Moment of inertia of the cylinder is equal to 8.82 Kgm².

The propensity of a force to produce or modify the rotational motion of a body is known as torque, also known as moment, or moment of force. It is a force that causes an object to twist or turn. Force and distance are multiplied to calculate torque. It has both a direction and a magnitude because it is a vector quantity. Newton-meters, or N*m, is the torque unit in the SI system.

A spinning object's change in angular velocity per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It has a vector form.

Given in the question

Torque = 75 Nm

Angular acceleration = 8.5 rad/s²

Torque = Angular acceleration × moment of inertia

Put in the value, we get

Moment of inertia = 75/ 8.5

Moment of inertia = 8.82 Kgm²

So the Moment of inertia of the cylinder is equal to 8.82 Kgm².

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Answer:

Which of these can help determine air pressure? Select the two correct answers.(1 point)

a. wind speed of the air

b. moisture in the air

c. temperature of the air

d. cloud patterns in the air

Explanation:

hope this helps :)

Wind speed of the air and temperature of the air are the two correct options that can can help to determine air pressure.

(options a and c)

This is so because the number of molecules above a surface determines air pressure. Interestingly, as the number of molecules increases, they exert more pressure on a surface, and the total atmospheric pressure increases. By contrast, if the number of molecules decreases, so too does the air pressure.

Recall: The temperature of the gas is proportional to the average kinetic energy of its molecules. Faster moving particles will collide with the container walls more frequently and with greater force.

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We can calculate the time taken by the compass to hit the ground by using kinematic equations of motion. The motion of the compass is a free-fall motion since it is only under the influence of gravity. When the compass is dropped, it is initially at rest.

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Answer:

68 N

Explanation:

We have a force of 80 N going to one direction and 12 N to the other direction. we subtract 12 from 80 and get 68 N which is the total net force

The net force acting on the wagon is equal to 68 N.

The net force acting on an object can be defined as the vector sum of all forces acting. The net force is a single force that can give same the effect as the original forces on the object's motion.

The net force will be the resultant force with a similar effect on the rotational motion as all actual forces taken together by the object.

In the question, the applied force will act in the opposite direction of the frictional force so we need to subtract these two forces to find the net force.

Given, the applied force to push the wagon = 80 N

The frictional force between wagon and ground = 12 N

The net force on the wagon = 80N + (-12N) = 68 N

Therefore, the net force equal to 68 N will act in the direction of the applied force.

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A psychologist will need to have good linguistic intelligence in other to be successful.

This is referred to as a professional who specializes in the handling of mental health challenges in individuals.

It is best for such professional to have a good linguistic intelligence as the right words being said to the patient will solve the problem thereby bringing in more success.

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It only moves forward because there is a net force forward.

Let us note that when an object is acted upon by a system of forces, the object only moves in the direction of the net force.

We have an animal acted upon by the following forces;

The upwards and downwards forces are exactly balanced so the animal neither moves upwards or downwards.

However, the animal does move forward because there is a net force that pushes the animal forward.

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Answer:C. It only moves forward because there is a net force forward.

Explanation:

Answer:

The answer is 0.042 Hz (rounded)

or 0.0417 Hz

Explanation:

Hope it helps

Answer:

The answer is 0.041Hz

Explanation:

The answer is 0.041Hz

I guess

A white-hot iron piece has internal motion energy due to constant particle movement at the atomic and molecular levels, as per scientists. Thermal energy or heat energy is motion. Higher temperature means more kinetic energy and faster motion of atoms and molecules.

White-hot iron vibrates atoms and molecules at high temperatures. Kinetic theory states that all matter is made up of moving particles. Motion occurs at the microscopic level, beyond eye view. Higher temperature = greater particle energy.

When a scientist refers to white-hot iron, they recognize its high temperature corresponds to increased kinetic energy and motion. Motion and energy at the atomic level are not visible like a bowling ball, but are fundamental traits of matter.

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The Title of the interviews Questionnaire is : Community Members' Right to Safe and Healthy Living Questionnaire. The Questionnaire is attached.

A tool for research known as a questionnaire comprises a series of questions formulated to extract data from individuals or a collective of individuals. A systematic approach in acquiring data, which permits researchers to obtain uniform feedback and perspectives from respondents, is termed as structured data collection.

Questionnaires have multiple applications such as conducting surveys, holding interviews, performing assessments, and carrying out evaluations.

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Answer:

6.79 m/s

Explanation:

By applying the principle of conservation of momentum.

The total momentum = MV - mv = 0 (since the squid is beginning at rest)

the mass of the squid (M) in absence of water in its cavity = (6.5 - 1.75) kg

= 4.75 kg

speed of the squid (V) = 2.5 m/s

mass of the water expelled (m) = 1.75 kg

speed of the water (v) = ???

∴

4.75 × 2.5 = 1.75 × v

\(v = \dfrac{4.75 \times 2.5}{1.75 }\)

v = 6.79 m/s

After pushing the pumpkin hard, you find yourself reversing direction at a speed of 4.0 m/s. 3.0 seconds after being pushed, the pumpkin will slide 12 m. Assume you weigh 60.0 kg.

We can use the conservation of momentum to solve this problem. After the push, the momentum of the system is given by:

p = (449 kg + 60 kg) * v

where v is the speed of the pumpkin and you after the push. Since you end up sliding backward at 4.0 m/s, we have:

v = -4.0 m/s

Substituting this into the expression for momentum, we find:

p = (449 kg + 60 kg) * (-4.0 m/s) = -2036 kg·m/s

The negative sign indicates that the momentum of the system is in the opposite direction of your motion.

During the sliding motion, the net force on the system is given by:

Fnet = (449 kg + 60 kg) * g * sin(θ)

where g is the acceleration due to gravity (9.81 m/s^2) and θ is the angle of the ramp. Since the ramp is smooth and horizontal, θ = 0 and Fnet = 0. Therefore, there is no net force to change the momentum of the system.

Using the equation for motion with constant acceleration, we can find the distance the pumpkin slides in 3.0 seconds:

x = x0 + v0t + (1/2)at²

Since the initial speed of the pumpkin is -4.0 m/s and there is no net force acting on it, its speed remains constant during the slide. Therefore, v0 = -4.0 m/s and a = 0. Substituting these values, we find:

x = x0 + v0t = (-4.0 m/s) * (3.0 s) = -12 m

The negative sign indicates that the pumpkin slides in the opposite direction to your motion. Therefore, the pumpkin slides 12 meters backward (i.e., towards you) in 3.0 seconds after the push.

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Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration.

1. Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration. The valence electrons are the outermost electrons in an atom's electron shell, and they are crucial in determining the chemical properties and reactivity of elements.

2. Evidence from data tables can be shown by examining the electron configuration and the group and period numbers of various elements on the periodic table. Here is a simplified example:

Element   | Electron Configuration | Group | Period |

--------------------------------------------

Hydrogen  | 1s^1                              | 1     | 1      |

Lithium       | [He] 2s^1                     | 1     | 2      |

Carbon       | [He] 2s^2 2p^2          | 14    | 2      |

Oxygen      | [He] 2s^2 2p^4          | 16    | 2      |

Neon          | [He] 2s^2 2p^6          | 18    | 2      |

--------------------------------------------

3. The evidence from the data table supports the claim that the arrangement of elements on the periodic table is based on valence electrons.

- Group Trend: Elements within the same group (vertical columns) share the same number of valence electrons. In the example table, Hydrogen, Lithium, and Neon are all in Group 1, indicating they have 1 valence electron.

- Period Trend: Elements within the same period (horizontal rows) have the same number of electron shells. In the example table, Hydrogen and Lithium are in Period 1, indicating they have their valence electron in the first energy level. Carbon, Oxygen, and Neon are in Period 2, indicating they have their valence electrons in the second energy level.

By examining the electron configurations, group numbers, and period numbers, we can clearly see the trends and patterns in the number of valence electrons for both groups and periods on the periodic table. This evidence supports the claim that the arrangement of elements on the periodic table is based on their valence electrons, which play a crucial role in determining their chemical behavior and properties.

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The speed of the microwaves is 3 × 10^10 meters per second. This result indicates that microwaves, like all electromagnetic waves, travel at the speed of light in a vacuum.

The speed of a wave can be calculated using the formula: speed = frequency × wavelength. In this case, the frequency of the microwaves is given as 10,000 million Hz, which is equivalent to 10,000 × 10^6 Hz or 10^10 Hz. The wavelength is given as 0.03 m.

Plugging these values into the formula, we have:

Speed = (10^10 Hz) × (0.03 m)

Simplifying the calculation, we find:

Speed = 3 × 10^10 m/s

Therefore, the speed of the microwaves is 3 × 10^10 meters per second. This result indicates that microwaves, like all electromagnetic waves, travel at the speed of light in a vacuum. The speed of light is approximately 3 × 10^8 meters per second, so microwaves have a slightly higher speed due to their longer wavelength. It's important to note that the speed of light is a fundamental constant of nature and does not depend on the properties of the specific electromagnetic wave being considered.

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Rock: Weight in air (N): 1.2, Apparent weight (N): 1.0, Buoyant Force (N): 0.2, Mass of beaker and water (kg): 0.069, Mass of beaker (kg): 0.048, Mass of displaced water (kg): 0.021 and Weight of displaced water (N): 0.21.

Buoyant force is the upward force exerted on an object when it is submerged in a fluid. This force is caused by the pressure differences between the top and bottom of the object, due to the fact that the pressure at the bottom of the object is greater than the pressure at the top. This pressure difference is caused by the fluid’s weight, which is pushing down on the object from above.

Styrofoam:

Weight in air (N): 0.85

Apparent weight (N): 0.13

Buoyant Force (N): 0.72

Mass of beaker and water (kg): 0.123

Mass of beaker (kg): 0.048

Mass of displaced water (kg): 0.075

Weight of displaced water (N): 0.75

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The velocity of the train between 5s and 9s is 20 m/s.

Velocity of an object refers to rate of change in position with respect to time in certain direction. As it has both magnitude and direction, it is a vector quantity. SI unit of velocity is m/s.

We know that,

Velocity (v) = \(\frac{x_{2} - x_{1} }{t}\) m/s.

Where,

x₁ = initial position

x₂ = finial position

t = time interval

According to the graph,

At time t = 5s, position of the train = initial position (x₁) =   + 100 m.

At time t = 9 s, position of the train = finial position (x₂) = +180 m.

And, time interval (t) = 9s - 5s = 4s.

So, velocity = \(\frac{x_{2} - x_{1} }{t}\) m/s = \(\frac{180 - 100}{4}\) m/s = 20 m/s.

So, the velocity between 5s and 9s is 20 m/s.

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The magnitude of the change in momentum is 3676.95 kgm/s

Since the water initially moves in the z- direction and vz = 2.6 m/s.

So, its initial velocity is V = (2.6 m/s)k

Also, it changes direction to vy = 2.6 m/s.

So, its final velocity is V' = (2.6 m/s)j

So, its change in velocity ΔV = V' - V = (2.6 m/s)j - (2.6 m/s)k

So, the magnitude of the change in velocity is |ΔV| = √(vx² + vy² + vz²)

= √[(0 m/s)² + (2.6 m/s)² + (-2.6 m/s)²]

= √[(0 m/s)² + (2.6 m/s)² + (2.6 m/s)²]

= √[(2(2.6 m/s)²

= 2.6√2 m/s

So, the magnitude of the change in momentum is |Δp| = m|ΔV| where m = mass of water = 1000 kg

So, |Δp| = m|ΔV|

|Δp| = 1000 kg × 2.6√2 m/s

|Δp| = 2600√2 kgm/s

|Δp| = 3676.95 kgm/s

The magnitude of the change in momentum is 3676.95 kgm/s

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Explanation:

Let T is the period of a pendulum. The SI unit of time is seconds (s).

It depends on the acceleration of gravity, g, and the length of the pendulum, l.

The SI unit of acceleration of gravity, g and the length of the pendulum, l are m/s² and m respectively.

If we divide m and m/s², we left with s². If the square root of s² is taken, we get s only i.e. the SI unit of period of a pendulum.

So,

\(T\propto \sqrt{\dfrac{l}{g}}\)

Hence, this is the required solution.

Answer:

Kinematics is the study of motion.

Answer:

The number of turns determines the strength; whether the core is made of soft or hard magnetic material. Soft iron is more easily magnetized than steel. As a result, using a soft core increases the electromagnet's strength.

The magnetic field is mathematically described as a vector field. This vector field can be directly plotted as a grid of many vectors. Each vector points in the same direction as a compass and has a length proportional to the strength of the magnetic force. This technique is demonstrated by arranging many small compasses in a grid pattern and placing the grid in a magnetic field. The only difference is that a compass does not indicate field strength. Field lines are another way to represent the information contained within a vector field. We remove the grid pattern and connect the vectors with smooth lines. We are free to draw as many lines as we want.

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The introduction of catalysts in the process allows it to proceed more quickly by lowering the activation energy required for the reaction.

Energy is the capacity to perform work, according to scientists. Because of the ability to transform energy from one type to another and use it to accomplish tasks, modern civilisation is feasible.

The definition of energy is "capacity of doing work, which really is ability to apply force causing movement of an object." Energy is merely the force that moves objects, despite this definition's seeming complexity. Both potential and kinetic energy fall under this category.

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R = range is the formula for calculating the range. greatest value is H. Lowest value is L. The spectrum is the most straightforward way to compute variability.

What does the term "spectrum" mean?

By passing through a prism, visible light takes on a rainbow of hues, which is how the term was initially used scientifically in optics. When knowledge of light increased on a scientific level, it became to encompass the full electromagnetic spectrum. Today, analogies with spectrum are used to discuss subjects unrelated to optics.

What does a rainbow's spectrum mean?

The color range of a rainbow A condition known as a spectrum (plural: spectra or emission spectra) is one that can fluctuate without steps along a continuum and is not constrained to a single set of values. Issac Newton, who noticed the variety of hues in visible light as it passed through a prism, coined the phrase for use in optics.

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hydroelectric dam converts the potential energy stored in a water reservoir behind a dam to mechanical energy—mechanical energy is also known as kinetic energy. ... The generator converts the turbine's mechanical energy into electricity.

Hope this helps!

Answer:

Potential energy and kinetic energy are constituents of mechanical energy.

When a turbine is switched on, it rotates with mechanical energy.

Since a motor runs the turbine, it converts this mechanical energy to electrical energy.

Answer:

(a) 159.84 m

(b) 1.89 m/s²

Explanation:

Applying,

(a)

s = (v+u)t/2.................. Equation 1

Where s = distance traveled by the car, u = initial velocity, v = final velocity, t = time.

From the question,

Given: u = 0 m/s ( from rest), v = 55 mi/h = (55/2.237) m/s = 24.59 m/s, t = 13 s

Substitute these values into equation 1

s = (24.59+0)13/2

s = 159.84 m

(b)

Also applying,

a = (v+u)/t................. Equation 2

Where a = acceleration of the car.

substituting into equation 2,

a = (24.59+0)/13

a = 1.89 m/s²

Answer:

Explanation:

We can use the kinematic equation v^2 = u^2 + 2as to solve for the length of the driveway. Here, u = 0 (since the car starts from rest), v = 3.8 m/s, a = F/m = 4.0 x 10^3 N / 2.1 x 10^3 kg = 1.9 m/s^2. Solving for s, we get:

s = (v^2 - u^2) / 2a = (3.8^2) / (2 x 1.9) = 3.8 m

So the length of the driveway is 3.8 meters.

The reaction between the Hydrogen gas with Oxygen gas and adding a small bit of energy is called a combustion reaction.

This is a description of a chemical reaction between hydrogen gas (H₂) and oxygen gas (O₂) to form water (H₂O), which is an example of a combustion reaction.

In this reaction, hydrogen gas and oxygen gas react with each other to form water vapour (H₂O), which then condenses on the sides of the container to form water droplets.

The energy added to the system (in the form of a spark or heat) provides the activation energy needed to initiate the reaction. The reaction releases a large amount of energy in the form of heat and light, which is what causes the explosion.

The balanced chemical equation for this reaction is:

2H₂(g) + O₂(g) → 2H₂O(g)

This equation shows that two molecules of hydrogen gas (H₂) react with one molecule of oxygen gas (O₂) to form two molecules of water vapour (H₂O). The reaction consumes all the hydrogen and oxygen and produces only water.

The appearance of water droplets on the side of the container indicates that the water vapour produced by the reaction has condensed back into a liquid state due to the cooling of the container. This is a common observation in combustion reactions that produce water vapour as a product.

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When a substance changes from one phase to another, which of the following events occurs (A) The substances loses or gains heat.

A Phase change is reversible physical change that happens when a substance changes from one state of matter to the another state of matter. when substances changes from solid , liquid or gas state to different state called as phase change. Temperature can change the substance from one phase to another. for example . we can freeze the water by putting it to freezer to change it into ice and when we put it on heat it changes to liquid.

Thus, When a substance changes from one phase to another, which of the following events occurs (A) The substances loses or gains heat.

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Answer:

The substance loses or gains heat.

Explanation:

Substances can be made to change phases by fluctuating the temperature, the pressure, or both

Answer:

Explanation:

Given the following data;

Mass = 35 kg

Velocity = 3 m/s

To find the kinetic energy of the child;

K.E = ½mv²

Answer:

Cost per year = $131.4

Explanation:

We are given;

Power rating of computer with monitor;P = 300 W = 0.3 KW

Cost of power per KWh = 15 cents = $0.15

Time used per day by the computer with monitor = 8 hours

Thus; amount of power consumed per 8 hours each day = 0.3 × 8 = 2.4 KWh per day

Thus, for 365 days in a year, total amount amount of power = 2.4 × 365 = 876 KWh

Now, since cost of power per KWh is $0.15, then cost for 365 days would be;

876 × 0.15 = $131.4