The magnitude of the new gravitational force is F' = 32 F when the masses are changed to 2m and 2m, and the distance is changed to 4r.
The universal Gravitational Force can be formulated by, F = G M₁ M₂ / d²
As per the data we know that,
M₁ = m
M₂ = m
d₁ = r
F₁ = F
M₂ = 2m
d = (r/4)
F₂ = ?
i) Original force
F₁ = G (m)(m) / r² = G m² / r² = F
ii) Modified force
F₂ = G (m)(2m) / (r/4)² = G 2m² / (r² / 16) = 32 [Gm² / r²] = 32 F
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A ball of ma 0. 2kg i projected horizontally into a vertical wall with the peed of 34m/ the ball make contact with the wall for 0. 3 econd and bounce horizontally with the peed of 26m/ calculate the change in momentum of the ball and the average force exerted on the ball during it' colliion with the wall
The average force exerted on the ball during the collision is 5.3 Newtons.
What is force?Force is a concept in physics that describes the interaction between two bodies. It is a vector quantity, meaning it has both a magnitude (amount of force) and a direction. Force can cause a change in an object's shape, speed, and direction of motion. Examples of forces include gravity, friction, tension, and electromagnetic forces. Forces can be used to push, pull, twist, and bend objects. Force is measured in newtons (N), and is the product of mass and acceleration. Force is an essential part of understanding the universe and how objects interact with each other.
Momentum is defined as mass multiplied by velocity,
and thus the initial momentum of the ball is 0.2 kg x 34 m/s = 6.8 kg m/s. After the collision, the momentum of the ball is 0.2 kg x 26 m/s = 5.2 kg m/s.
Thus, the change in momentum is 6.8 kg m/s - 5.2 kg m/s = 1.6 kg m/s.
The average force exerted on the ball during the collision can be calculated by dividing the change in momentum by the time of the collision:
Average force = 1.6 kg m/s / 0.3 s = 5.3 N.
This means that the average force exerted on the ball during the collision is 5.3 Newtons.
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What is the standard unit for length Mcq?.
A meter is the metric system's standard unit of length (m). One meter (m) is divided into 100 equal centimeters (cm).
What is SI unit?The International System of Units, abbreviated SI in all languages and sometimes pneumatically as the SI system, is the modern version of the metric system and the world's most widely used measurement system. The SI is a coherent system of measurement that begins with seven base units: the second (symbol s, the unit of time), the metre (m, length), the kilogram (kg, mass), the ampere (A, electric current), the kelvin (K, thermodynamic temperature), the mole (mol, amount of substance), and the candela (cd, luminous intensity). These are widely accepted and followed around the world. The SI unit for mass is kilogram, the SI unit for length is meter, and the SI unit for time is second.
Here,
A meter is the standard unit of length in the metric system (m). One meter (m) is equal to 100 centimeters (cm).
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The properties and interactions of magnets are called?
Material or an item that creates a magnetic area is called a magnet. The domain actually defines the all the attractive and repulsive property of all the magnet.
As per the definition we know that the properties and interaction of magnets are called magnetism.
The force which is created during the attraction and repugnance of magnets towards different magnets or objects is called magnetism. Generally it results because of the existence of the electric field.
It is the most essential effect that causes a shift in the magnetic field that influences the electric field and vice versa.
Hence, magnetism is the property of magnets interacting in the field.
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A stone is thrown horizontally from the top of a 31.2 m tall cliff. The stone lands at a distance
of 21.4 m from the edge of the cliff. What is the initial horizontal velocity of the stone?
The projectiles launch allows to find the answer for the initial velocity of the stone is: v = 8.49 m / s
What is meant by velocity?The directional speed of an item in motion, as measured by a specific unit of time and viewed from a certain point of reference, is what is referred to as velocity.The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed).The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number.Given data :
In this case the stone is thrown horizontally, therefore its initial vertical speed is zero, let's find the time it takes to reach the base of the cliff
y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²
where y and y₀ are the current and initial position, is the initial vertical velocity, g the acceleration of gravity and t the time
When reaching the bottom its height is zero (y = 0) and the highest part its initial height is y₀ = 31.2 m
0 = y₀ + 0 - ½ g t²
t = [tex]\sqrt{\frac{2yo}{g} }[/tex]
Let's calculate
t = [tex]\sqrt{\frac{2*31.2}{9.8} }[/tex]
t = 2.52 s
They indicate that the stone fell at a horizontal distance of 21.4 m,
x = [tex]v_{ox}[/tex]t
= v_{ox} = x / t
v_{ox} = 21.4 / 2.52
= 8.49 m/s
In conclusion, using the projectiles launch we can find the answer for the initial velocity of the stone is:
v = 8.49 m/s
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help!!!Which of the following are examples of resource depletion that can occur due to technology?
a.People use cell phones when driving, leading to more car collisions.
b.A new battery is developed, requiring the mining of non-renewable metals.
c.Landfills can release certain hazardous chemicals into the soil and water.
d.Certain chemicals are released into the air by cars, leading to acid rain.
Answer:
b.A new battery is developed, requiring the mining of non-renewable metals.
Option B. A new battery is developed, requiring the ,mining of non -renewable metals is the example of resource depletion due to technology.
when the consumption of non renewable and renewable resources for energy, electronic goods, industry good etc purposes. At a fast pace where these resources doesn't get enough time to replenished.
New battery is developed at faster pace and the raw material obtained for the production by mining of earths core. Natural resources are depleted as not enough time is given to earth to make new one.
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Is dimensional formula of work and torque same?.
Yes, the dimensional formula of work and torque is the same. It depends on the unit of work and torque.
The torque is described as the turning effect of force and is a vector quantity. It is based on the force's strength and the angle at which it is perpendicular to the line of action. The unit of torque is N.m.
Work is described as the force applied over a certain distance. Work is a mechanical manifestation of energy. The standard unit of work is the joule or N.m.
As the units of both the physical quantities are the same, the dimensional formula is also the same.
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The net electric force on the blue sphere has a magnitude F and is directed in the − y direction.
What is the sign of the charge on the yellow sphere? Positive or Negative?
The charge on the yellow sphere is positive because the net electric force on the blue sphere has a value of F and is oriented in the y direction.
What is class 12 of Gauss's law?
According to Gauss's law, each closed surface's electric flux is equal to the net charge it contains divided by the vacuum's permittivity, or =Q.
What makes it the Gauss law?
Gauss' Law demonstrates how electric fields, E, can be produced by static electricity, q. Gauss' Law, which bears the name of German physicist Carl Friedrich Gauss, is the third of Maxwell's four equations. According to Gauss' Law, an electric charge, qv, or static electricity, produces an electric field, E. (voltage).
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A car travels 258 miles in 312 minutes at a constant speed. How far did the car travel in 5 minutes?.
The car will travel around 4.13 miles in 5 minutes
Explain distance.
The term "distance" refers to the size or magnitude of the difference between two positions. The distance between two positions and the distance traveled between them are not the same thing, it should be noted. The distance traveled is the total length of a path that connects two points.
The speed will be: Given that the car travels at a constant speed, 258 miles are covered in 312 minutes,
Distance/Time x Speed
Speed = 258/312
Speed = 0.827
The distance, d, that the car travels in m minutes will therefore be represented by the following equation:
Distance equals 0.827 x 5.
= 4.135 miles away
= about 4.13 miles in 5 minutes
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The acceleration due to gravity in the moon is only 1/6th of the earth. If you hit a baseball with the same effort that you would on earth, the ball would land.
The acceleration of gravity on the Moon is only one-sixth of that on Earth. If we hit a baseball on the moon with the same effort(and at the speed and angle)that we would on earth, the ball would land 6 times as far. The ball on the moon will cover 6 times more distance than Earth.
What is gravity?The force that pulls items toward the center of a planetary or other body is known as gravity. The gravitational pull maintains each of the planet in orbit about the sun. The degree to which a coordinate in space-time is invisibly bent determines the intensity of the gravitational "field" at any given place in space or time. Massive items tumble down these bends in the direction of one another. The stronger the attraction between items, the more matter there is, and the closer together things are. And unlike electricity and magnetism, which may either repel or attract, gravity always draws objects together.
Speed = distance travelled/Time required speed
Speed = d/t
Acceleration of gravity on earth=9.8 m/s²
Acceleration of gravity on Moon=1.62 m/s²
So the maximum height of ball will be the ration of these both gravity.
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What is the kinetic energy of an object that has a mass of 10 kg and velocity of 1 m?.
The kinetic energy for the object which has a mass m of 10 kg with velocity of 1 m is 5 m/s.
The kinetic energy of an object increases with its mass. v indicates the object's speed. This relationship shows that an object's kinetic energy is inversely proportional to the product of its mass and velocity.
Possible justification: Because kinetic energy and speed have a strong relationship, an object's kinetic energy rises as its speed does. Kinetic energy's nonlinear (square) proportional relationship with speed (KE v2) 1. When an object's speed doubles, its kinetic energy increases by a factor of four. 2.
The kinetic energy decreases by a factor of four as the object's speed is cut in half.
K.E = 1/2 * m * v^2
K.E = 1/2 * 10 * 1^2
K.E = 1/2 * 10
K.E = 5
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T/F Type SE service-entrance cable shall be permitted where the insulated conductors are used for circuit wiring and the uninsulated conductor is used only for equipment grounding purposes.
SE service-entrance cable shall be permitted where the insulated conductors are used for circuit wiring and the uninsulated conductor is used only for equipment grounding purposes is true.
What is conductor?A conductor is a material or device that allows electricity to flow freely through it. It is typically a highly conductive material such as copper, aluminum or silver. Conductors are essential components of most electrical circuits and devices, and serve to connect different parts of an electrical system. As electricity flows through a conductor, it encounters resistance, which is the opposition to the flow of electricity through the material. The amount of resistance in a conductor depends on the material it is made of, its length, and its cross-sectional area.
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What is the best way to solve equation?.
To solve systems of equations, three approaches are used: graphing, substitution, as well as elimination.
To solve systems of equations, three approaches are used: graphing, substitution, as well as elimination. Manually graph the provided equations and discover the point(s) that they all cross to solve a system. The coordinate of just this point will provide you with the values for exact variables you are attempting to solve for.
There are four methods for resolving one-step equations: adding, subtracting, multiplying, and dividing. Both sides of either equation will remain equal if simply add the same integer to both sides. Both sides of either equation would remain equal when we deduct the same integer from both sides.
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How do you calculate torque required to rotate a shaft?.
Horsepower and RPMs, which are both dependent on measurement or some other method, are used to calculate torque for motors. Use this equation to calculate torque (in ft-lb) for motors: T = rpm/(HP*5252).
How do you figure out how much torque is required to turn a shaft?Result for an image How can you figure out how much torque is needed to spin a shaf,
To get load torque, divide the pressure (F) by the pulley's radius, which is the distance from the rotating axis (r). The needed torque for the operation is (20 N x 0.05 m = 1.0 Nm if the load's mass (green boxes) is 20 Newtons and the pulley's radius is 5 centimeters distant.
What does torque in rotation mean?The power that can turn an item about its axis is measured as torque. In linear kinematics, force is what makes an object move faster. Likewise, an angular acceleration is brought on by torque. The rotating counterpart of linear force is thus what torque is.
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What unit is torque calculated?.
Answer:
The SI unit for torque is the Newton-meter. In imperial units, the Foot-pound is often used.
Explanation:
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How can you calculate the mechanical advantage a simple machine provides?
•divide the output force by the output displacement
•divide the output displacement by the input displacement
•Simple machines do not provide a mechanical advantage.
•divide the output force by the input force
Answer: divide the output force by the input force
Explanation: your welcome
The mechanical advantage which a simple machine provides can be calculated by dividing the output displacement by the input displacement. Thus, the correct option is B.
What is Mechanical advantage?The mechanical advantage of a simple machine can be defined as the ratio of output force applied on the object to input force. Mechanical advantage is also the ratio of load overcame by a simple machine to the effort which is applied by that machine. The formula for mechanical advantage of a simple machine is given as:
M.A. = output force / input force
M.A. = Load / effort
Thus, the mechanical advantage of a simple machine depends both on the output force of the simple machine and the input force of the machine.
Therefore, the correct option is B.
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How many moles is one mole?.
The mole, commonly known as mol, is a SI unit used to calculate how many particles are present in a given substance. 6.022*10^23( it's a standard value) atoms or other fundamental building blocks, such as molecules, make up one mole.
One mole of a given chemical is equivalent to 6.022 x 10^23. (such as atoms, molecules, or ions). The mole concept can be used to convert between mass and particle quantity.
The ratio of atomic mass units to grams affects Avogadro's number, or the number in a mole. A mole of hydrogen atoms weighs around one gram in comparison to one hydrogen atom's mass, which is approximately one unit. 6.022 10^23 is referred to as "Avogadro's constant" or "Avogadro's number."
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7 types of electromagnetic waves from lowest to highest wavelength
Radio waves, microwaves, infrared rays, visible rays, ultraviolet rays, X-rays, gamma rays. Radio waves have long wavelengths and low frequencies, while gamma rays have short wavelengths and high frequencies.
In physics, electromagnetic radiation consists of space-propagating electromagnetic field waves carrying momentum and electromagnetic radiation energy. These include radio waves, microwaves, infrared rays, light, ultraviolet rays, X-rays, and gamma rays. The seven Electromagnetic Waves in ascending order of frequency and descending order of wavelength are:
Radio waves.Microwaves.Infrared radiation.Visible light. 5 × 10 - 6 m t o 0 . 8 × 10 - 6 m.Ultraviolet radiation.X-rays.Gamma rays.Learn more about Electromagnetic Waves
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Relative and Absolute Dating Lab Report
Relative dating is the process of determining the relative order of past events, without necessarily determining their absolute age. This is done by comparing the positions of different layers of rock and determining which layers are older or younger. For example, if rock layer A is on top of rock layer B, then rock layer A is younger than rock layer B.
Absolute dating, on the other hand, is the process of determining a specific date for an event or artifact. This is done through the use of methods such as radiocarbon dating or potassium-argon dating. These methods involve measuring the decay of certain isotopes and comparing them to known decay rates.
In a lab report, you would likely include a brief introduction to the concepts of relative and absolute dating, a description of the methods and materials used in the lab, a presentation of the data collected, and an analysis and interpretation of the results. You may also include a discussion of any limitations or sources of error in the methods used and a conclusion summarizing your findings.
What is 20 newton in KG?.
What is the formula for rate of change in momentum?.
The rate of change of momentum equals the mass multiplied by the rate of change of velocity. Newton's Second Law may thus be recast as force = rate of change of momentum.
What does a shift in momentum mean?The change in momentum (p) of an object is defined as the change in the product of its mass and velocity. To modify the momentum of an item, a force is necessary. This applied force can change the direction of the item or enhance or reduce its momentum.
The rate of change (ROC) of anything relates to how rapidly it changes over time. It is therefore the speeding up or slowing down of changes.
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Is the magnitude of vector always 1?.
The magnitude isn't always 1. It's +ve or zero. A vector with a -ve sign in front of it has the same magnitude but is pointing in the opposite direction. The - sign is part of the magnitude, not the direction.
A "resultant vector," like all vectors, is neither positive nor negative. It has a magnitude (which is greater than zero) and a direction. Scalars are what "components" are. They are vector projections onto the x and y axes (or other axes). They are not magnitudes because the angle between the vector and the axes can be positive or negative (as you note). The direction of the projection along the axis is indicated by the + or - sign.
"Component vectors" are vectors that add up in the x and y directions to the given vector. They have magnitude and direction because they are vectors, but the only possible directions are +x/-x and +y/-y. They are not +ve or -ve because these terms have no meaning.
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Please help me by 7, thank you!!
Answer:
C
Explanation:
C is the usual case
Is mass a vector or scalar?.
Mass is a scalar quantity, which means it is a physical quantity that has only magnitude and no direction.
Unlike vector quantities, such as velocity or acceleration, scalar quantities do not have a direction associated with them. Mass is a measure of the amount of matter in an object and it is always a positive value, regardless of the direction of the object.
The unit of mass is the kilogram(kg) or pound(lb) etc. It is an important physical quantity in physics and is used to calculate the weight of an object under the influence of gravity and also used to calculate the force required to move an object. It's a scalar quantity because it doesn't have any direction.
It's just a number that represents how much matter is present in an object, as opposed to vector quantities like velocity or acceleration which have both magnitude and direction.
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What are the 4 ways to solve an equation?.
Four ways of solving an equation are 1) Graphical method 2) Elimination method, 3) Substitution method 4) Cross multiplication method
Graphical method: To solve linear equations graphically, first draw the graph for both equations in the same coordinate graph and locate the intersection point on the graph.
Elimination method: In this method, any of the coefficients is first eliminated by equating. After eliminating the coefficient, the equations are resolved to get the other equation. For example:
3x + 2y = 9 ———–(i)
x – y = 6 ———–(ii)
Here, if equation (ii) is multiplied by 3, the coefficient of “x” will become the equal and can be eliminated.
So, multiply equation (ii) × 3 and then subtract equation (i)
3x + 2y - 9 - 3x-3y-18 = 0
y = -9/5
Now, put the value of y = 1.8 in equation (ii).
So, x – 1.8 = 6
x = 4.2
Substitution method: To solve a linear equation using this method, first, take the value of one variable separately from any of the equations. Then, substitute the value of this variable in the second equation and solve it.
Cross multiplication method: Linear equations can be easily solved using this method. In this technique is used to simplify the solution. Following formula is used for solving 2 variable equation:
x /(b₁ c₂ − b₂ c₁) = y / (c₁ a₂ − c₁ a₁) = 1 /(b₂ a₁− b₁a₂)
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How do you find the magnitude simple?.
The magnitude in simple way defined as "distance or quantity." In the sense of motion, it depicts the absolute or relative direction or size in which an object moves. It is used to describe the scope or size of something.
A quantity's magnitude is a number that indicates how large or small a measurement of that quantity is in comparison to a specified reference value (that reference value is most of the time taken to be zero). Magnitude is defined in physics as the maximum extent of size and direction of an object. Magnitude is simply a numerical value, whereas intensity conveys the concept of impact. In physics, it's generally refers to distance or quantity.
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What is the unit of momentum Mcq?.
kg ms-1 is the Si derived unit for momentum. The external force net is equal to the shift in momentum of a, according to Newton's second motion law in terms of momentum.
What is the momentum unit?Momentum is a vector number since it has both direction and magnitude. Newton seconds, abbreviated N s, or kg m s 1 are the units of momentum. To differentiate it from rotational momentum, this is frequently referred to it as linear momentum.
A Newton? The momentum unit in the SI?Therefor, the Newton-second can also be used as the SI unit by momentum in physics (Ns). In the CGS system, an object's mass is calculated in grams, and its velocity is calculated in centimeters per second. Consequently, the momentum unit.
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What is the kinetic energy of a mass of 5. 0 kg moving at 4. 0 m s?.
40 J is the kinetic energy of a mass of 5. 0 kg moving at 4. 0 m s.
What is Kinetic Energy ?Kinetic energy is the energy that an object possesses due to its motion. It is defined as the work required to accelerate an object of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.
We know that kinetic energy = mv²/ 2
So kinetic energy of given object = 5*4*4/2
= 40
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help!!
Which of the following statements are examples of how technology improves human lives? (Choose all that apply)
a.String theory may soon explain universal phenomena like mass, charge, and gravity.
b.The development of leaded gasoline caused large amounts of heavy metals to be released into the air.
c.Computers allow people to communicate with each other quickly, and over great distances.
d.Improvements in airplane design have made travel cheaper and more accessible.
e,The discovery of nearby galaxies taught us a lot about the shape and behavior of our galaxy.
f.Medical diagnostic equipment can detect diseases sooner and more easily.
Answer: c
Explanation:
I say "C" because we use technology to communicate over long distances instantly, so we have progressed in making rockets, shoes, health/high gene, etc.
Technology is a branch of science which enables human life make easier with practical purposes. Technology improve human life in many way. c,d ,e and f these all improves human life by technology development.
Computers discovers new life to human life daily activities communication over the great distance , research and acess tons of information at fingertips. Computer has open source and cheap. Airplanes wipes the travel barrier for longer distance. We can travel longer distances with in hours.
Discovery of nearby galaxies gives lot of information about our galaxy shapes and nature of universe. One of best invention in human history is medical diagnostics, which enables human to detect diseases at early stages give better treatment to save life.
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What is the value of 1 mole?.
The mole, also referred to as mol, is a SI unit used to measure the number of particles in a specific substance. One mole is composed of 6.022*10^23 atoms or other basic building components, such as molecules.
A mole is equal to 6.022 x 10^23 of a given substance (such as atoms, molecules, or ions). Utilize the mole concept to translate between mass and particle amount.
The number in a mole, or Avogadro's number, is influenced by the proportion between atomic mass units and grams. Compared to one hydrogen atom's mass, which is around one unit, a mole of hydrogen atoms weighs about one gram. The quantity 6.022 10^23 is known as "Avogadro's constant" or "Avogadro's number."
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The maximum kinetic energy of a box sliding from the top of a ramp to the bottom is.
The maximum kinetic energy of a box sliding from the top of a ramp to the bottom is: at the bottom.
What is kinetic energy?The energy of motion, or kinetic energy, may be seen in the movement of an item or subatomic particle. Kinetic energy can be discovered in every moving object and particle. Kinetic energy is generated when anything moving, such as a person walking, a baseball rising through the air, a piece of food dropping from a table, or a charged particle in an electric field. The object's squared velocity determines the kinetic energy. As a result, an object's kinetic energy quadruples when its velocity doubles. Kinetic energy is divided into five kinds radiative, thermal, sound, electrically, and mechanic.
Kinetic energy of an object can be expressed in terms of its mass m and velocity v as:
K.E = 1/2 × m × v²
Thus higher the velocity, greater will be the Kinetic energy. Now, as the box moves along a ramp from top to bottom, its velocity increases and so does the K.E.
Hence, kinetic energy is maximum at the bottom
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The complete question is as follows:
The maximum kinetic energy of a box sliding from the top of a ramp to the bottom is A) at the top. B) at the bottom. C) at the exact middle of the ramp D) stored equally within the box at all locations.
