What is the formula of rate of change of momentum Class 9?.

The formula of work is given as force multiplied by distance. The unit of work is said to be joule.

A force is a quantity which is a vector because it has both a magnitude and a direction. According to Newton's laws, the force acting on an item is what causes it to move or cease moving.  

Force multiplied by distance equals work. Work is a form of energy that is expended as an object moves along certain distance. However, note that this particular formulation:

W = F d

The above equation works only if force is constant and if the movement is entirely linear on a flat surface. General formula for determining work can be done through calculus as:

W = ∫ F ds

where the distance becomes differential from d to ds, and allows us to evaluate the work done even for non-linear paths or on paths that are inclined at angles above the horizontal plane.

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According to Newton's second law of motion, the rate of change of an object is directed proportional to force applied to it and takes place in the direction in which the force acts. Mathematically, it is written as, F = m a.

You may have observed that a fielder frequently pulls his hand backward while capturing a faster-moving cricket ball. This is so that the fielder can extend the period of time during which the ball's high velocity lowers to zero.

As a result, the ball's acceleration slows down, which lessens the impact of catching the ball's increased speed and prevents the fielder's hand from being injured.

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At the top of the hill, the roller coaster has the most potential energy and least kinetic energy.

The roller coaster has a maximum amount of potential energy and no kinetic energy at the top. As the roller coaster begins moving down to the bottom, its potential energy starts decreasing whereas the kinetic energy starts increasing. And at the bottom, kinetic energy is highest while there is no potential energy.

In other words, the maximum potential energy generated is when the roller coaster is at the top of the hill. When it begins to go down, the potential energy converts to kinetic energy. So when the roller coaster reaches the top of the hill, it attains the most potential energy and least kinetic energy.

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The SI unit of work is the joule (J).

Work is the amount of energy required to move an object through a distance, and it is calculated by multiplying the force applied to an object by the distance over which the force is applied. The joule is the derived unit of energy and work in the International System of Units (SI). It is defined as the amount of energy expended in applying a force of one newton through a distance of one meter. In other words, it is the energy required to move an object with a mass of one kilogram through a distance of one meter, while applying a force of one newton. Work can also be described as the energy transferred to or from an object by the application of a force. The Joule is also used for heat, power and many other units.

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A substance's rate of change in momentum is inversely proportional to the applied resultant force and moves in the same direction. Therefore, we may state that the force exerted equals the rate of change of momentum.

Force times time equals momentum. It is evident from the equation above that momentum is time-dependent. It demonstrates how momentum will grow when more force is applied to an item. In contrast to momentum, however, force is not time dependent.

According to Newton's second law, if a constant force acts on a particle for a specific amount of time, the force multiplied by the duration of the action equals the force.

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The correct inequality solution is: w ≤ 19.62

Weight is the gravitational force that pulls on an object when a larger second object, such the Earth or Moon, is present. It represents how much gravity is pulling on a body. Given that weight is a force, its SI unit is likewise a force; hence, the SI unit of weight is the Newton (N).

On Earth compared to the Moon, an object's weight would vary due to the effects of gravity. This is how the weight formula is explained: Mass times gravitational pull equals weight. This may be expressed as w = mg.

Let, the possible weight of the medium flat-rate box = w pounds.

It is given that there is a box weighing  0.38 pounds.

Plus, the maximum weight of the package is 20 pounds.

So, we get,

The inequality representing the situation is,

Weight of medium box + 0.375 pounds ≤ Maximum weight of the package

i.e. w + 0.38 ≤ 20

or, w ≤ 19.62

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The kinetic friction force for case 1 is equal to the dynamic friction force for case 2. This is because the mass is the same in both scenarios.

Kinetic friction is defined as the force acting between moving surfaces. An object moving on a surface experiences a force opposite its direction of motion. The force magnitude depends on the kinetic friction coefficient between the two materials. The dynamic friction force for case 1 is equal to the dynamic friction force for case 2. This is because the mass is the same in both scenarios.

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Principle of Lever practical experience has shown that when two equal forces in different directions,

Lever Practical experience has shown that when two equivalent forces acting in different directions, — in other words, counterclockwise and clockwise, were applied to a homogeneous lever at equal spacing from the pivot, they balance each other out and bring the lever to equilibrium.

What does a kid-friendly definition of a lever simple look like?

Image for What is the concise explanation of the lever principle, Levers are tools that increase force, to put it simply. We refer to them as "simple machines" since they.

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Pressure differences in nature can be created by a variety of mechanisms. the mechanisms are Temperature differences,.Altitude differences, Density differences.

Temperature differences: Warm air is less dense than cool air, which creates a pressure difference between the two. This can lead to the formation of atmospheric circulations such as winds and storms.

Altitude differences: At higher elevations, the air is less dense than at lower elevations, which creates a pressure difference. This is why the air pressure decreases as you go up in altitude.

Density differences: When a fluid is flowing, areas of higher density will have a higher pressure than areas of lower density. This can lead to the formation of currents and eddies in water and air.

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Answer:

The pressure difference is created in nature by the heat of the sun.

Explanation:

When it falls on the earth's surface, the surface of the earth gets heated and the air above it also gets warm and becomes lightweight, and moves upward. Thus, the pressure difference is created.

According to Mendel's law of independent assortment, which punnett square correctly lists the gametes for these individuals

The alleles of two (or more) distinct genes are chosen onto gametes independently from one another, according to Mendel's law of independent assortment. To put it another way, the allele that a gamete receives for one gene has no effect on the allele that it receives for another gene. When reproductive cells mature, various genes autonomously segregate from one another, according to the Principle of Independent Assortment. When Gregor Mendel initially studied genetics in pea plants in 1865, he discovered the independent assortment of genes and the qualities that go along with them.

An illustration of the law of independent assortment is: There are crossed two-hybrid rabbits. Having the genotype BbGg, both rabbits are. Each rabbit produced gametes before breeding. As a result, the copies of each chromosome are assigned to various individuals, and the alleles are separated gametes.

For the two genotypes given - BBTt and Bbtt

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The complete question is as follows:

A roller coaster is a good example of potential and kinetic energy because the roller coaster gains potential energy as it is pulled to the top of the hill. And as the roller coaster descends downward the potential energy is converted to kinetic energy.

Kinetic energy is the type of energy that is possessed by an object when it is in motion. While potential energy is the type of energy that is possessed by an object because of its state or position.

A roller coaster is an example that involves both kinetic and potential energy.  When the roller coaster goes upward to the hill, it gains potential energy because of its changing state. And when the roller coaster is released from the chain and begins coming down the hill,  kinetic energy is gained as a result of its motion toward the bottom.

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To find the average speed in meters per second, we need to convert both the distance and time to the same units. Since 540 km is equal to 540000 meters and 4.5 hours is equal to 16200 seconds, we can calculate the average speed as:

Average speed = distance / time = 540000 meters / 16200 seconds = 33.333 meters/second.

By combining force and distance, torque (also referred to as moment by engineers) is computed. Newton-meters are the SI units for torque.

photo of Just how is torque determined.In a perfect world, F = F x r would be the equation for driving torque. Here, r denotes the height of a lever coupled to the axes of rotation, at the end of which force F exerts a perpendicular force. The point of application, however, is not always fixed.

Several factors, including RPM, can influence an engine's torque output: A engine can produce more torque as the RPM incases. The engine has much more time to finish a cycle because of this.

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Torque τ per unit moment of inertia I is nothing but the angular acceleration α.

An object rotates at an acceleration is inversely proportional to its moment of inertia when a torque is applied to it. Torque is defined mathematically as: τ = I α, where I is the moment of inertia and α is the angular acceleration.

I is usually given by the formula, I = m r².

In rotating motion, torque is the same as force in linear motion. It is the main factor that maintains an object's rotation.

Torque and rotational inertia replace force and mass, respectively, in the angular application of Newton's Second Law. The relationship between angular acceleration and torque is true when an object's rotational inertia is constant.

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The energy efficiency of the mixer is 70%.

The Sankey diagram shows the amount of energy absorbed, the amount of useful energy, and the amount of non-useful energy.

The efficiency of a device

η = (U/I) × 100%

I = U + W

100% = U + 30%

U = 100% - 30%

U = 70%

The efficiency of the mixer

η = (U/I) × 100%

η = (70%/100%) × 100%

η = (7/10) × 100%

η = 70%

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The z-score of the data value 4 is -3.

To calculate the z-score of a data value,

we use the formula z = (x - μ) / σ,

where

x is the data value,

μ is the mean of the dataset, and

σ is the standard deviation of the dataset.

In this case, the mean of the dataset is 10 and the standard deviation is 2. Therefore, when finding the z-score of the data value 4, we calculate (4 - 10) / 2 = -3.

Therefore, the z-score of the data value 4 is -3.

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The distance traveled (height) following a drop until it touches the ground is calculated using the equation s = u*t + 1/2*a*t2. The height from which the sandbag was dropped is given by plugging in the u, t, and a values mentioned above as well as s = 110 m.

What are Newton's first, second, and third laws of motion?

According to the first law, a force must be applied to an object before it may affect its motion. According to the second law, an object experiences a force equal to its mass times its acceleration. According to the third law, when two things interact, they exert forces on one another that are both equal in strength and directed in the opposite direction.

What is the definition of equation of motion class 9?

A set of equations can be used to construct a relationship between the body's velocity, acceleration, and the distance it travels in a given amount of time when the body is moving in a straight line with uniform acceleration.

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Overall, 5G has various advantages over 4G, including faster speeds, lower latency, capacity for more connected devices, less interference, and improved efficiency, thanks to the new technology, spectrum.

The eagerly awaited fifth-generation mobile telecommunications technology, also known as 5G, has been hailed as a paradigm shift in mobile networking, promising tenfold higher download rates, real-time data sharing, and increased network capacity.

5G has finally here, despite setbacks and delays that have plagued the rollout in both the US and several regions of Europe. With between 80 and 90% of the world's population, South Korea, the US, and China are pacing the field. Although Europe lags behind, Switzerland is an anomaly and has attained 90%.

Mobile network operators and technology vendors are as bullish as ever about the future of 5G, despite continued difficulties with the worldwide rollout. According to the 2021 Ericsson Mobility Report, by 2027, over half of all mobile subscriptions will be for 5G.

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Following the bullet's passage through the wood, the entire assembly moves in the same direction as the bullet along a low-friction track. The initial momentum of the bullet is smaller than the momentum of the wood.

When a bullet strikes a block, is momentum maintained?

The momentum of the block with the bullet after the strike will be equal to the momentum of the block with the bullet before the hit, under the law of conservation of linear momentum.

What was the bullet's momentum prior to the collision?

The block/bullet mechanism conserves momentum. As a result, the momentum prior to the impact and the momentum following the contact are the same.

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Geothermal energy is a method of energy conversion that utilizes heat energy from inside the Earth to generate electricity and other purposes such as space heating, cooking, and bathing.

Examples of surface phenomena that are created by heat from the Earth's core include lava flows, geysers, fumaroles, hot springs, and mud pots. The heat is mostly produced by friction at the borders of continental plates as well as the radioactive decay of potassium, thorium, and uranium in the Earth's crust and mantle. The resultant low-grade heat flow has a global yearly average of 50 to 70 milliwatts (mW) per square meter. In contrast, the surface of the Earth receives 342 watts per square meter of solar radiation per year (see solar energy). Geothermal heat energy may be gathered and used for human purposes everywhere on the surface of the Earth. There will be 4.5 106 petajoules On the surface, energy can be gathered and utilized.

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The consequences of lag often don't become audible until they are 15 to 30 milliseconds (ms)

We are aware of this because recording studios monitor latency, and the permissible range is 10–12 ms. Higher latencies frequently cause musicians to lose focus during performances.

According to research, it needs a delay of 20 to 30 ms for our brains to distinguish one sound from another. Thus, latency up to 10ms is typically acceptable; we won't notice it. But if it goes beyond that, the artist will start to lose the musical sensibility, which will have an impact on his performance.

The device ecosystem has significantly improved as a result of these steps and a renewed focus on audio delay from device manufacturers.

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Everyday life is dominated by man-made electromagnetic radiation: microwave ovens cook food, radar waves guide aeroplanes, television sets receive electromagnetic waves provided by broadcasting stations, and infrared rays from heaters offer warmth.

Electromagnetic fields are produced by a variety of household gadgets, including low-energy light bulbs, television and computer displays, electric heaters, and even electric blankets. All of these popular objects produce electric or electromagnetic fields and/or need them to function.

Exposure to powerful enough low frequency fields can cause dizziness, light flashes, and tingling or pain due to nerve activation. Exposure to strong enough radiofrequency fields can cause heating of bodily tissue.

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A body's linear momentum is defined as the product of its mass and velocity. Kgms-1 is the SI unit of linear momentum.

Linear momentum is defined as the product of a system's mass and velocity. An equation is used to express linear momentum p. p = mv. According to the equation, momentum is proportional to mass (m) and velocity (v) (v). A body's linear momentum is defined as the product of its mass and velocity. p = mv. Linear momentum is measured in kilograms per second. Linear momentum is defined as the product of an object's mass (m) and velocity (v) (v). It is more harder to stop an item that has more momentum. The linear momentum formula is p = mv.

Here,

The linear momentum of a body is defined as the product of its mass and velocity. Kgms-1 is the SI unit for linear momentum.

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Answer: The thickness of the vertical flow lines indicates the relative quantity.

The thickness of the vertical flow lines indicates the relative quantity.

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The formula for Torque of couple is given as:

Moment (Torque)= F x d, where, F is the force in newtons and d is the perpendicular distance in meters.

Torque is defined as the moment of a force at about a turning point is the force multiplied by the perpendicular distance to the force from the turning point.

For Example- A 20N force acts at a perpendicular distance of 2m from the turning point then it torque will be equal to-

Torque of couple = F x d = 20 x 2 = 40 Nm

The moment of torque becomes zero when the forces acting on the body have the same line of action. When the forces are at right angles to the arm , the torque is maximum.

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When an object is thrown straight up, it initially accelerates upward as it gains speed. Once it reaches the very top of its path, it stops accelerating and begins to decelerate due to gravity, until it reaches its maximum height and starts to fall back down.

At the very top of its path, the acceleration of the red ball is zero, because it is no longer gaining speed, it has reached its maximum height and is starting to fall back down.

The acceleration of the red ball at the very top of its path is zero m/s^2.

It's important to note that the initial velocity is 7m/s and the acceleration is the change of velocity over time, which is equal to zero because the velocity is the same and hasn't changed, the ball is at the highest point and it is not moving anymore.

Answer:

Yes.

Globally, energy usage is by far the most significant source of greenhouse gas emissions from human activity. About two-thirds of worldwide greenhouse gas emissions are associated with the use of fossil fuels to provide energy for heating, electricity, transportation, and industry.

Hope this helped :)

To pull the tanker 0.630 km total work to be done is  1.871 × 10⁹ Joule.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Resultant force acting on the tugboat = √2 × 2.10 × 10⁶ N.

To pull the tanker 0.630 km, that is, 630 m, work done = force × displacement

= √2 × 2.10 × 10⁶ N × 630 m

= 1871004543.01 Joule.

= 1.871 × 10⁹ Joule.

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Answer:

b.Both are directly meant to make human lives easier.

c.Both are concerned with improving humanity's amount of knowledge.