What is the formula to find the rate of change?.

The service disconnecting switch for an installation consisting of a limited load on a single branch circuit should have a rating of not less than 15 ampere.

A service disconnecting switch is a device which disconnects all the conductors of the system from the main source of supply. The limitation of current is due to the high heat produce. As heat in a conductor is a function of current. Like: H = i²Rt

Where I is the current, R is the resistance of the device, and t is the time of current flow. We can see by the formula that heat is directly proportional to the square of the current. More is the current more will be the heat produced.

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The answer is  

1 . The force of gravity on the ship at that orbit be using the early measurements be 5.435 × 10^5 N..

2.  The acceleration of your lander due to gravity be 4.94 m/s^2..

Force of Gravity

The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity.

Super-Earth-sized exoplanet Proxima Centauri b revolves around a M-type star. It has an Earth-mass of 1, orbits its star every 11.2 days, and is 0.048 AU away from it. In 2016, news of its finding was released.

Given that,

Planet Proxima Centauri B has a mass of approximately7.6x10^24 kg.

The ship lander has a mass of approximately 1.1x10^5 kg.

stable orbit  radius of 9000000 m from the center of planet Proxima Centauri B.

1. Using Newton's Law of Universal Gravitation,  the force of gravity on the ship at that orbit be using the early measurements = GMm/r²

= (7.6 × 10⁻¹¹)×(7.6x10^24)(1.1x10^5)/(9000000)² N

= 5.435 × 10^5 N.

2.  the acceleration of your lander due to gravity: a = F/m

=  5.435 × 10^5 N/ 1.1x10^5 kg.

= 4.94 m/s^2.

3.The planet's mass distribution might not be uniform, which is one of the potential factors that might explain the discrepancy between expected and actual figures. Therefore, the planet's centre of mass is not found at the geometric centre.

The orbiting path of gravity  could be elliptical rather than circular.

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Gravitational equation can be solved by knowing the values of universal gravitational constant, masses of both the object, and the distance between them.

According to Newton's law of gravitation, every object in the universe attracts every other object with a force called gravitational force. Gravitation equation defines the gravitational force exerted by two objects on each other. If they are kept apart at some distance.

F = GMm/R²

Where F is the gravitational force between the object, G is the universal gravitational constant, M & m are masses of both the object and R is the distance between the objects. Gravitational force is a vector quantity.

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A light-year is a unit generally used to express the distance that light travels in one year, the distance between two stars can be expressed in light years.

Light-years are units used to express the distance that light travels in a year. Light travels through interstellar space at a speed of 186,000 miles (300,000 kilometers) per second and 5.88 trillion miles (9.46 trillion kilometers) per year.

A light-year is a unit of measurement for distance rather than time (as the name might imply). A light-year is the distance a light beam travels in one Earth year, which is equivalent to roughly 6 trillion miles (9.7 trillion kilometers).

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Complete question is " A light-year is a unit generally used to express the distance that light travels in one year. Which of these can be expressed in the light years?

A] the age of a rock

B] the distance between two stars

C] the speed at which the earth revolves around the sun

D] the time earth takes to complete a revolution around the sun".

Let T be the duration of the wave, ie T = 1/f. So t = 1/4f means that at t = T/4 the marker moves 1/4 of a wavelength. So it will be in position C.

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No ,  torque inversely proportional to the force and the lever arm

The distance that separates the force's line of action from its rotational axis is known as the lever arm.

A force known as a torque is imparted to an item, causing it to rotate around an axis. A force is an action that modifies an object's motion.

For instance, the torque produced by a force of one newton applied six metres from the fulcrum is equal to that produced by a force of three newtons applied two metres from the fulcrum.

Torque is used by levers to help humans lift or move items. The cross product of a force and the distance of the force from a fulcrum is what is known as a torque.

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The image shows that the voltage affects the current and so does the resistance.

We know that the relationship between the voltage and the current can be obtained by the use of the Ohm's law. From the Ohm's law, we can see that;

V = IR

V = voltage

I = current

R = Resistance.

In this case, the resistance can be looked upon as the constnat of the proportionality. Based on the image, we can see that the current is related to the voltage and that the resistance also affects the current.

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Dimension formula of torque is T = F × R, and that of the kinetic energy is 0.5mv². The dimension of both will be same as [ML²T⁻²].

Torque in angular motion is equivalent to what force is in linear motion. In other words torque cause the angular change in and makes the object to rotates in a circular path around its own axis of rotation. It is formulates as T = F ×R. Where F is the force, R is the radius of circular path.

Its dimension would be, T = [MLT⁻²] × [L] = [ML²T⁻²]

Kinetic energy is that which is possessed by an object by the virtue of its motion. It is formulated as 0.5mv². Its dimension would be,

[M] × [LT⁻¹]² = [ML²T⁻²]

So the dimension formula for both will be the same.

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The ability of a fluid to exert an upward force on an object is called buoyancy or upthrust. The upward force is called buoyant force.

The buoyancy as explained above is caused by the pressure exerted by the fluid in which the object is immersed. That pressure force is called an upthrust force or buoyant force.

According to Archimedes principle, the buoyant force is the upward force exerted by a fluid on an object placed in them. The magnitude of the buoyant force is equal to the weight of a fluid displaced by an object.

Due to the buoyant force, a body immersed wholly of partly in a fluid will to lose its weight. In other words, it appears to be lighter. This phenomenon makes it possible for fish, swimmers, ships, icebergs, and hot air balloons to stay afloat.

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The answer is  the momentum after the colliion

m1v1i + m2v2i = m1∗v1f + m2*v2f

What is meant by colliion ?

p = m∗v(mathematical definition of momentum)

p1i + p2i = p1f + p2f

(mathematical formula for conservation of momentum)→

m1v1i + m2v2i = m1 ∗ v1f + m2*v2f

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A truck loaded with goods has a large mass, so it have to slow down before a stop light as it has a large momentum with the same velocity, making stopping difficult.

A body's amount of motion is referred to as momentum. Since velocity and the direction of a body's motion have an impact on momentum, it is measured by "mass velocity". Given that mass is a scalar variable and velocity is a vector, momentum is a vector quantity. Mass multiplied by velocity equals momentum. Momentum is a body's "power" while it is moving, demonstrating how much force it can exert on another body. For instance, a baseball (small mass) thrown quickly can have the same momentum as a bowling ball (big mass) travelling slowly (low velocity) (high velocity).

Here,

Because a truck loaded with goods has a large momentum with the same velocity, it must slow down before a stop light, making stopping difficult.

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Answer:  Coulomb’s Law provides one of the basic ideas about electricity in physics. This law takes a look at the forces which are created between two charged objects. As the distance increases then consequently there is a decrease in the forces and electric fields. The conversion of this simple idea took place into a relatively simple formula.

Coulomb’s Law is certainly an experimental law. This law quantifies the amount of force that exists between two stationary electrically charged particles. Moreover, electrostatic force or Coulomb force refers to the electric force which exists between charged bodies that are at rest. Coulomb’s Law describes the quantity of electrostatic force which is between the stationary charges.

Coulomb’s Law finds out the magnitude of the electrostatic force between the charges. The unit of the electrostatic force is Newton (N).

Electrostatic force = (Coulomb constant) absolute value of (charge 1) (charge 2)/ (distance between charges)2

F = k|q1q2|r^2

F = electrostatic force which exists between two point charges (N= kg.m/s2)

K = Coulomb constant k = 14πϵ0 ≅ 8.988×109N.m2/c2

q1 = charge of the first point charge(C)

q2 = charge of the second point charge(C)

r = refers to the distance between the charges (m)

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Answer:

The resistance within a battery or other voltage source that causes a drop in source voltage when current is present is referred to as internal resistance. The resistance present in the external circuit, on the other hand, is referred to as external resistance.

Kalanchoe plants produce plantlets on their leaves is an example of vegetative reproduction in plant.

Vegetative reproduction is a way of asexual reproduction of living things  (without the fusion of male and female sex cells). Vegetative reproduction can occur naturally or artificially. In natural animals:

Your question is incomplete but most probably your full question was:

Vegetative reproduction is a type of asexual reproduction in which nonreproductive parts of an organism can break off and develop into new individuals. Which event is an example of vegetative reproduction in plants? A. Pine trees produce seeds in cones. B. Mosses form spores in capsules. C. Sunflower plants produce seeds in their flowers. D. Kalanchoe plants produce plantlets on their leaves.

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Answer:

V=I*R So, I=V/R

Explanation:

based on ohm's law, we need a voltage (usually supplied by a battery) and resistance (this could be many many things, w.e is being powered is the resistance, light bulb is the typical example)

If G is the gravitational constant, m₁ and m₂ are the masses of the two objects, and d represents their separation from one another then the  gravitational formula, where F is the gravitational force equation is,

F =G((m₁m₂)/d)

Every particle in the universe is drawn to every other particle with a force that is directly proportional to the product of their masses and inversely proportional to their separation from one another, according to Newton's Law of Universal Gravitation.

In addition to interactions between the earth and other objects, all objects are subject to gravitational forces, the strength of which is inversely proportional to the product of their masses. Planetary orbits are studied by scientists using the law of universal gravitation. Because all objects have gravitational pull on one another, it is simple to explain the minor changes in a planet's elliptical motion.

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Torque and work have the same dimension formula but only work is expressed in the SI unit of Joule. Torque is a vector quantity and work is a scalar quantity.

Torque in angular motion is equivalent to what force is in linear motion. In other words torque cause the angular change in and makes the object to rotates in a circular path around its own axis of rotation. It is formulates as T = F ×R. Where F is the force, R is the radius of circular path. its dimension will be [MLT⁻²] × [L] = [ML²T⁻²].

On the other hand, work is the product of force vector(F) and displacement vector(d). Work is said to be done when the object gets displaced in the direction of the force applied. Its SI unit is Joule.

W = F × d × sinθ

Where θ is the direction of force with respect to the displacement.

Its dimension would be, T = [MLT⁻²] × [L] = [ML²T⁻²]

So the dimension formula for both will be the same.

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1 kilogram is equal to 9.806 newton. A newton is equal to 1 kg/m2/s2 (it is a derived unit which is defined in terms of the SI base units).

The force required to accelerate one kilogrammes of mass at a rate of one meter per second squared in the direction of the applied force is consequently one newton. The term "meter per second squared" refers to the rate of change in velocity per unit of time, or the acceleration of velocity by one meter per second.

Isaac Newton inspired the naming of the newton. Like every SI unit named after a person, Newton's sign begins with an upper case letter (N), but when written in full, it adheres to the common noun capitalization rules, which means that "newton" is capitalized at the start of sentences and in titles but otherwise is written in lower case.

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Weight is the gravitational attraction that an object experiences. The mass of an item remains constant, but its weight might vary based on the amount of gravity acts on it.

The mass of the item has a direct relationship with the gravitational force (FG) and may be determined by applying the formula FG=mg.

The weight, mass, and gravitational force that are applied to an object are represented in the formula FG=mg by the letters FG, m, and g. FG varies if gravity changes, even though the mass remains constant.

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Kepler was the first astronomer to look at the planet’s orbital paths. He discovered that these had a/an elliptical shape.

The heliocentric model is actually just a model for the solar system, not our entire universe.

There would be  no change in the shape of the force extension graph.

We have to note that the Hooke's law states that, the force that is applied on an object would be proportional to the extension on the object. As long as the elastic limit is not exceeded.

In the case of the material, we have been told that the material would have twice its original diameter. We must note that the diameter of the object does not affect the force extension graph hence there is no change  in the graph.

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One mole is made up of 6.022*10^23(standard mole value) atoms or other fundamental building blocks, such as molecules.

The mole, also referred to as mol, is a SI unit used to determine the quantity of particles in a specific substance. The molecular weight of a particular compound is 6.022 x 10^23. (such as atoms, molecules, or ions). Mass and particle quantity can be converted using the mole concept.

Avogadro's number, or the number in a mole, is influenced by the ratio of atomic mass units to grams. In relation to the mass of one hydrogen atom, which is approximately one unit, a mole of hydrogen atoms weighs around one gram. Avogadro's constant or "Avogadro's number" is referred to as 6.022 10^23.

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Ionizing radiation can have a variety of effects on the atmosphere. One of these is the production of ozone, which is a type of gas found in the stratosphere that absorbs harmful ultraviolet radiation from the sun.

Radiation is the emission or transmission of energy through a material medium or across space in the form of waves or particles. This energy may take the form of electromagnetic radiation, such as radio waves, microwaves, infrared, visible light, ultraviolet, x-rays, and gamma rays, or particles such as alpha particles, beta particles, and neutrons. Radiation can be both natural and man-made. Natural sources of radiation include the sun, stars and other celestial bodies, naturally occurring radioactive materials, and cosmic rays.

A. It increases the amount of ozone in the atmosphere.

B. It causes the formation of aerosols.

C. It reduces the amount of greenhouse gases in the atmosphere.

D. It increases the amount of water vapor in the atmosphere.

A. It increases the amount of ozone in the atmosphere.

B. It causes the formation of aerosols.

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A crane lift a pallet of brick to the top of a 80 m building, requiring 400 kJ of energy, Therefore, the mass of the pallet is 502 kg.

Mass is a measure of the amount of matter in an object. It is usually expressed in kilograms (kg) or grams (g). Mass is an important physical property because it is related to a number of other physical properties, such as inertia, gravitational force, and momentum. In order for an object to have mass, it must have a certain amount of matter. Mass is distinct from weight, which is a measure of the force of gravity on an object.

The mass of the pallet can be calculated using the formula:

Mass (m) = Energy (E) / Work (W)

Where Work is calculated as:

Work (W) = Force (F) x Distance (d)

The force required to lift the pallet can be calculated from the height of the building:

Force (F) = Mass (m) x Acceleration due to Gravity (g)

Therefore, the mass of the pallet is:

m = E / (m x g x d)

m = 400 kJ / (9.81 m/s2 x 80 m)

m = 502 kg

Therefore, the mass of the pallet is 502 kg.

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Acceleration is the rate of change of velocity over time. To calculate the acceleration of the shopping cart, you would need to use the formula:

a = (v2 - v1) / (t2 - t1)

where a is the acceleration, v1 is the initial velocity, v2 is the final velocity, t1 is the initial time, and t2 is the final time.

In this case, the initial velocity is 7 m/s at time t = 1s and the final velocity is 28 m/s at time t = 4s. So,

a = (28 m/s - 7 m/s) / (4s - 1s) = 21 m/s^2

So the cart's acceleration is 21m/s^2

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The gravitational or universal (G) constant, which relates force to mass and distance, is a symbol for this proportionality (G).

The gravitational constant, G, whose value depends on the units employed and is a universal constant, is multiplied by the product of the masses (m1 and m2) and divided by the square of the distance R to represent the attractive force in symbols: F = G(m1m2)/r^2.

Between two objects with masses m1 and m2, where f is the force. d is the separation between two objects, and G is the gravitational constant. The gravitational constant is G. m = the object's mass, M = the earth's mass, and r = the earth's radius.

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Yes, mass does change with gravity. The mass of an object is affected by the gravitational pull of the environment around it. The greater the gravitational pull, the higher the mass of the object.

This is because the object is being pulled closer to the source of gravity and thus its inertia increases, resulting in an increased mass. For example, if we were to compare two objects, one on the Earth’s surface and one on the Moon, the object on the Earth’s surface would be heavier due to the greater gravitational pull of the Earth. This is because the gravitational pull is stronger on the Earth than on the Moon, and thus the object on the Earth is being pulled closer to the source of gravity.

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The magnitude of the Electrostatic force is proportional to the square of the distance between the two charges. As a result, doubling the distance between the two charges reduces the attraction or repulsion to one-fourth of its original magnitude.

If the distance between objects is doubled, the force of attraction is 1/4.

If the distance between objects is doubled, the force between objects is quartered. If the distance between objects is tripled, the force between them is 9 times smaller. If the masses of both bodies double, the force between them quadruples.

Electrostatic force is a non-contact force. They pull and push things without touching them. When some materials rub against each other, something called a "charge" can move from one surface to another. Charged objects attract other uncharged objects and can push or pull other charged objects.

As the distance between two charges increases, the repulsive force between them decreases. For equal charges, the electrostatic force decreases as the distance between the two charges decreases.

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Torque adds to forces and distance. Due to the fact that it is a vector quantity, it has both a magnitude and a direction. Either the angular velocity of an item is changing, or its moment of inertia.

Depending on the topic, it may also be referred to as the moment, moment of force, rotational force, or turning effect. The concept initially appeared in Archimedes' study on the use of levers. Torque adds to forces and distance. Due to the fact that it is a vector quantity, it has both a magnitude and a direction. A torque is an angle-dependent rotation about an axis, much like how a linear force pushes or pulls an item. Torque is a force that may cause an item to revolve around an axis.

Torque is defined as the product of force and distance.

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