if you triple the distance between two point charges, by which factor does the force between the particles change?

The angular velocity after 11.4s is 52.56 rad/s

[tex]w_{f}=w_{0}+at[/tex]

Given:[tex]w_{0}=2.10,a=4.40,t=11.4[/tex]

[tex]w_{f}=2.10+4.40*11.4\\w_{f}=52.56[/tex]

What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.

What are angular velocity and acceleration?
Angular velocity is the rate of change of angular displacement and angular acceleration is the rate of change of angular velocity.

Are angular velocity and momentum the same?
While linear momentum is P = MV, where M is mass and V is velocity, angular momentum L = Iw, where I is rotational inertia and w (we use w instead of small Omega, the conventional symbol) is angular velocity. Angular velocity is just the angle the mass rotates in an interval of time. w has the units of radians/second.

Thus, the angular velocity is 52.56 rad/s

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The position versus time plot of driven harmonic motion when the driving frequency is slightly higher than the theoretical natural frequency will show a sinusoidal oscillation with a gradually increasing amplitude.

What is harmonic?
A harmonic wave, like a sinusoidal wave, has a frequency that is an integer multiple of the basic frequency, or the frequency of the initial periodic signal. The first harmonic of the original signal is also referred to as that; higher harmonics are the other harmonics. The sum of harmonics is periodic at the fundamental frequency because all harmonics are at that frequency as well. A harmonic series is formed by the group of harmonics.

The phrase is used in a variety of fields, including radio technology, physics, acoustics, power electronics transmission, and music. For instance, if indeed the frequency response is 50 Hz, which is a typical AC power supply frequency, the first three higher harmonics' frequencies are 100 Hz (second harmonic), 150 Hz, and 200 Hz (3rd harmonic).

As the driving frequency increases, the amplitude of the oscillation will become more pronounced and eventually reach a peak before decaying back to the original amplitude. The period of the oscillation will remain constant, even as the amplitude increases.

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According to this graph, the minimum size of an object that could cause a mass extinction is a little less than  10 km.

Answer is in the graph, min size of object that could cause a mass exinction is a little less than 10 km.

When a significant portion of biodiversity, such as separate species of bacteria, fungi, plants, mammals, birds, reptiles, amphibians, fish, or invertebrates, goes out during a brief period of geological time, this is referred to as a mass extinction. Impacts from comets and asteroids, extensive volcanism, climate changes,bacteria,abrupt shifts in the topography and ocean currents, or a combination of these elements may be the cause of mass extinction events. At least 75 percent of all species become extinct during major extinctions, which typically last three million years. Some experts think that, if things continue as they are, we may be able to remove that number within a few centuries.

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According to the one-year calendar model based on the Big Bang theory, life on the planet began in August.

The Big Bang theory is the most recent conjecture for the creation of the universe. The big explosion that occurred 13.7 billion years ago is believed to be the beginning of the journey of the entire universe.

The big bang theory describes the creation of the universe as an expansion of matter which then exploded like a giant balloon that is constantly being filled with air. The remnants of these explosions then each became the seeds for the formation of galaxies, solar systems, and the various objects that fill them.

Revealed, Dark Energy in the Universe in Cosmology

Cosmologists and physicists call the universe currently expanding as a result of the Big Bang explosion. Even the speed of its expansion is believed to continue to increase.

Scientists have also found predicted thermal signatures from the Big Bang, the cosmic microwave radiation that enveloped the universe. In the thermal traces there are no objects older than 13.7 billion years, indicating that the universe was born around that time (the time of the Big Bang phenomenon).

The traditional Big Bang theory holds that the universe began from a singularity, or point of infinite density and temperature whose properties are difficult for the human mind to comprehend.

But the theory does not accurately describe anything obvious, because the singularity idea is based on Einstein's general theory of relativity.

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The puck's kinetic friction coefficient only with shuffleboard court's surface is 0.24.

It is known as a force that exists between moving surfaces as kinetic friction. A force that operates in the opposing direction to the motion of a body on the surface is felt. The percentage of kinetic friction of the two materials will determine the size of the force.

Briefing:

Given  ,The mass of puck is, m = 0.50 kg.

The magnitude of frictional force is, f = 1.2 N.

The force which tends to oppose the motion between an object and the surface is known as frictional force. And its value is,

F= μ × mg

here,   is the coefficient of kinetic friction between the puck and the surface of the shuffleboard court.

Solving as ,

1.2 = u × 0.50 × 9.8

 μ =  [tex]\frac{1.2}{0.50 . 9.8}[/tex]

 μ = 0.24

Thus, we can conclude that the coefficient of kinetic friction between the puck and the surface of the shuffleboard court is 0.24.

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Magnitude of current required is 1630 amp.

Current can be defined as the rate of flow of charge.

Since Faraday represents the magnitude of electric charge per mole of the electron

Mass can be given as:

mass = molar mass * faradays used/faradays needed

1 faraday = 1C/96500

Na + (aq) + e- -> Na(s) : one electron is transferred so faradays needed to produce 23.0g Na is 1

1.4kg*1000 = 1400g

1400g = 23.0g/mol * Fu/1f

Fu (faradays used) = Coulombs/96500 (faraday constant)

Fu = 60.9f=Q/96500

Q = 96500*60.9= 5.88*10^6

As we know that, Q = I*t

5.88*106= I*3600s(1h=60min=3600s)

I=1630amps

The current required to produce 1.4 kg of sodium metal in one hour is 1630 amperes.

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Question is incomplete the complete question is:

A student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinate plane. As the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m1 and m2. During the experiment, the velocity of the block 1.0 second before the explosion and the velocity of the two pieces 1.0 second after the explosion are measured using a motion sensor. Conservation of momentum is applied using the masses of the two pieces. However, when the velocity of the piece of mass m2 is calculated, the measured value is 10% less than the calculated value. Which of the following statements best explains the difference in the calculated and measured velocity?

A) As the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.

B) It is possible that a small amount of the original block was lost during the explosion.

C) When the student did the calculation, the student assumed that the explosion occurred just as the block reached the origin. The difference in velocity could be due to the explosion occurring either just before or just after the origin.

D) The explosion created a force that affected the experiment.

E) Conservation of momentum is not the correct equation to apply to the explosion, since the two pieces apply forces to each other.

The correct explanation will be as the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.

What is friction?

Moving things lose energy and slow down due to the friction force that resists their motion. A fluid, like air or water, exerts a frictional force on moving objects when they travel through it. A fluid's frictional force is referred to as a drag force.

Effect of friction on motion?

An opposing force to the relative motion of two objects is friction. You will be researching kinetic friction for this assignment (also called sliding friction). Kinetic friction is the process by which some of the kinetic energy of motion between two objects is transformed into heat. The same thing happens when two objects are sliding past one another-for example, when you push a box across the floor.

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(a) The maximum speed of emitted electrons is 5.67 x 10^−19 J

(b) The work function is 2 x 10^-19 eV and the metal is Cesium

It is given that

Wavelength of light = 350 nm

We have to find maximum speed and work function

(a)

We use the energy of a photon equation, which states that,

E = hf

h is Planck's constant, which is

h = 6.62 x 10^-34 Js

f is the frequency in hertz

So here:

f = c/λ

f = 3*10^8 m/s/3.5*10^-7 m

f = 8.57 x 10^14 Hz

E = 6.62 x 10^-34 Js x 8.57 x 10^14 Hz

E = 5.67 x 10^−19 J

(b)

Work Function = eVs where Vs is the stopping potential.

Vs = 1.25 V

e = 1.6 x 10^-19 C

Work function = 1.6 x 10^-19 C x 1.25 V

Work function = 2 x 10^-19 eV

Hence, the Cesium is the metal whose work function is 2 x 10^-19 eV

Maximum speed of emitted electrons is 5.67 x 10^−19 J

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This leads us to the conclusion that if an object of mass "m" weighs "mg," then an object of mass "2m" weighs "2mg."

Mass is a crucial aspect of all matter and a measurement on inertia in physics. What a body of matter is fundamentally, is the resistance it offers to something like a change in its speed and location brought on by the application of a force. The amount of mass a body has no bearing on how much of a change a force applies.

Mass is a unit used to describe the amount of matter who makes up an object. Weight, a measure of force, is used to calculate the gravitational pull an object experiences. In contrast to mass, weight is not location-dependent.

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To calculate the pressure in the car tires, we can use the equation $P = \frac{F}{A}$, where $P$ is the pressure, $F$ is the force acting on the area, and $A$ is the area over which the force is applied. In this case, the force acting on the tire is the weight of the car, and the area is the portion of the tire that is in contact with the road.

First, we need to calculate the weight of the car. The weight of the car is given by the equation $W = mg$, where $m$ is the mass of the car and $g$ is the acceleration due to gravity. We are given that the mass of the car is 1700 kg, so the weight is $W = 1700 \text{ kg} \times 9.8 \text{ m/s}^2 = 16786 \text{ N}$.

Next, we need to calculate the force acting on each tire. Since the weight of the car is distributed evenly among the four tires, each tire supports one-fourth of the total weight, or $F = \frac{1}{4} \times 16786 \text{ N} = 4196.5 \text{ N}$.

Now we need to calculate the area of the tire that is in contact with the road. The width of the tire is 16 cm, and we are given that two-thirds of the flattened bottom segment is in contact with the road.

This means that the length of the segment in contact with the road is $\frac{2}{3} \times 15 \text{ cm} = 10 \text{ cm}$. The area of the tire in contact with the road is therefore $A = 16 \text{ cm} \times 10 \text{ cm} = 160 \text{ cm}^2$.

Finally, we can use the equation $P = \frac{F}{A}$ to calculate the pressure in the tires. Plugging in the values for the force and the area, we get

$$P = \frac{F}{A} = \frac{4196.5 \text{ N}}{160 \text{ cm}^2} = 26.2 \text{ Pa}$$

Since 1 psi is equivalent to 6894.757 Pa, the pressure in the tires is approximately

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The Newton's first law is demonstrated over here.

If the wrench is thrown then that wrench will keep on moving in the space.

As we all no space has no gravity and since there is no gravity, hence, no force is applied on that body.

The wrench will move freely in the space and will continue to move in same direction until there is some external force is applied to stop or change its direction.

This shows that over here the Newton's first law is applied.

The Newton's first law states that the body will continue to be in the same state or motion and will not change until the external force is applied on it.

This Newton's first law is also known as law of inertia.

Therefore, the wrench will continue to move in the same direction under the influence of Newton's first law.

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If you are more than 3,000 AGL, you must be flying at an odd-thousand MSL altitude +500 feet on a magnetic course of 0-179, in accordance with FAR 91.159. Additionally, if you are flying a magnetic course of 180-359, you should fly at an altitude of 1,000 feet plus 500 feet.

Altitude :

A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth. Depending on the context, different definitions and reference points are used. Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography.

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The impedance of the circuit is 193.9 ohms. The result is obtained by dividing the applied voltage by the total current.

In a parallel RC (resistance and reactance) circuit, impedance can be expressed as

[tex]Z = \frac{RX_{c} }{\sqrt{R^{2} + X_{c}^{2} } }[/tex]

Z = V/I

Where

We have:

The impedance should be found by determining the branch currents and the total current.

The branch currents are

Ir = V/R = 470/470 = 1 A

Ic = V/Xc = 470/330 = 1.424 A

In the parallel circuit, the total current is

I = Ir + Ic = 1 + 1.424 = 2.424 A

By using the total current, the impedance is

Z = V/I

Z = 470/2.424

Z = 193.9 ohms

Hence, the impedance of the parallel RC circuit is 193.9 ohms.

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The tension must a rope have to support a certain mass with horizontal is 1.3671N.

T=mgsinФ

T=0.5 x 9.8 x sin6

=4.9sin6

=4.9 x 0.279

=1.3671N

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Answer:

Explanation:

The diagram shows four forces acting on a plane in flight. direction of flight. (b) (i). Which arrow represents air resistance?

The large terrestrial planet never formed in the region of the asteroid belt because there was never enough mass there. Thus, option (a) is the answer.

Rocky planetesimals survived in the asteroid belt between Mars and Jupiter because they did not accrete into a planet. Jupiter's gravity, through the influence of orbital resonances, stirred up asteroid orbits and thereby prevented their accretion into a planet.

Jupiter's gravity is so strong, that it makes asteroid orbits within the Kirkwood gaps unstable. It's these gaps that prevented a single planetary body from forming in that region. So, because of Jupiter, asteroids formed into families of debris, rather than a single planetary body.

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Therefore, the number of ²³⁹Pu atoms in 1.0 mm diameter particle is  2.6*10⁷

The half-life of the  is  ²³⁹Pu=2400 yrs

The radius of soot particles is r =1*10⁻⁶m/0=0.5*10⁻⁶m

The density of Plutonium is  ρ=19800kg/m³

The number of   ²³⁹Pu atoms in a  diameter particle is

N=(m/Ma)Na

=ρ4πr³Na/3Ma

Substitute the given values to get number of atoms in particle

N=19.8*4π*(0.5*10⁻⁶)³*6.02*10²³/3*239*10⁻³

=2.6*10⁷

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The net force would cause the velocity of the body to change and it would accelerate.

We know that the force that is acting on a body is a vector quantity. If the force is a vector quantity, the implication of this is that the force would have both a magnitude and direction.

According to the Newton first law of motion, if an object is acted upon by an unbalanced force, the result of this is that the velocity of the object would change and the object would accelerate.

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According to the query, the cylinder accelerates to 4.9 m/s² and travels 22.05 m in 3.0 seconds.

Acceleration refers to the rate where the the speed and direction of velocity vary over time. A point of object going straight ahead is accelerated when it accelerates or decelerates. Even when the speed stays constant, travel on a circle accelerates because the orientation is always shifting.

Acceleration for cylinder is

a = g*sin30°

a = 9.8*1/2

a = 4.9 m/s²

Therefore the distance travelled in 3.0 seconds,

Using equation of motion,

s = ut + 1/2at²

s = 0 + 1/2(4.9)(3)²

s = 22.05m

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The complete question is-

A Solid Cylinder Rolls Down An Incline At 30° From Rest.

(A) What Is Its Acceleration?

(B) How Far Does It Go In 3.0 S?

27.5 m/s. If the average force exerted on the arrow by the bow was increased 3 times and the arrow was accelerated over the same distance

The amount of air drag on an 0. 8N flying squirrel dropping vertically at terminal velocity is 0.8N.

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The displacement of the particle from the equilibrium position is 8.33 cm.

What is displacement?

Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting position to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B.

The displacement from equilibrium of the mass at the time, t = 1.25 s is

Mass, m = 15.5 kg

Frequency, f = 17.73 Hz

Maximum amplitude, A = 12.8 cm

t = 1.25 s

The equation of the simple harmonic motion

y = A Sin ωt

y =  A Sin (2 x π x f x t)

put, t = 1.25 s, A = 12.8 cm, f = 17.73 Hz

y = 12.8 Sin ( 2 x 3.14 x 17.73 x 1.25)

y = 12.8 Sin 139.38

y = 8.33 cm

So, the displacement of the particle from the equilibrium position is 8.33 cm.

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I understand the question you are looking for is:

A 15.5 kg mass vibrates in simple harmonic motion with a frequency of 17.73 Hz. It has a maximum displacement from equilibrium of 12.8 cm at time, t = 0.00 s. The displacement from equilibrium of the mass at time, t = 1.25 s is_______?

The rank of the terrestrial planets based on their expected cooling rates, from fastest cooling to slowest cooling is as follows -

mercury , Mars, Venus, Earth

Mercury - It is the smallest terrestrial planet in the solar system. It has a thin atmosphere, which causes it to swing between burning and freezing temperatures.

Mars - It is less dense than Earth and has a smaller magnetic field, which is a indication of a solid core rather than a liquid one. Mars is known to have water ice and organics- some of the ingredients for living things.

Venus - It is about the same size as Earth and has a thick, toxic carbon-monoxide (CO) dominated atmosphere that traps heat, making it the hottest planet in the solar system.

Earth - Out of the four terrestrial planets, Earth is the largest and has regular seasons for much of it surface; regions closer to the equator tend to stay warm, while spots closer to the poles are cooler and in the winter, icy.

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The presence of impurities in the objects you measured could affect your results in a variety of ways.

What is impurities?
Impurities seem to be chemical substances that differ from of the chemical composition of the substance or compound and are contained within a small volume of liquid, gas, or solid in chemistry as well as materials science. A pure chemical should, first and foremost, thermodynamically exist in at least each chemical step and also be distinguishable by its one-component phase diagram. Second, a pure chemical should, in practise, show to be homogeneous. All attempts as well as tests at further purification and separation will fail with the ideal pure chemical. Thirdly, it should be completely free of all traces of any other chemical species. Here, we concentrate on the common chemical definition.

Impurities can cause irregularities in the object's surface or internal structure, which can lead to inaccurate measurements. Impurities can also interfere with the accuracy of tests that measure physical or chemical properties of the object, such as its density or its electrical conductivity. Furthermore, impurities can lead to contamination of the measuring tools themselves, which can cause inaccurate results.

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The wavelength of the electromagnetic wave is 0.33m

Frequency = 900 x 10⁶Hz

[tex]Frequency=speed/wavelength[/tex]

[tex]Wavelength=speed/frequency[/tex]

=3 x 10⁸/900 x 10⁶

=0.33m

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Total work done to be done on the box in moving it 2.50 m along the floor is 175 j.

Friction force is an opposing force of motion. It comes into play when an object moves over the surface of another object.

We can find the friction force using formula,

[tex]F_{friction[/tex] = µ • [tex]F_{normal[/tex]

Where,

[tex]F_{friction[/tex] = friction force

µ  = coefficient of friction

[tex]F_{norm[/tex] = normal force.

In question given is

Horizontal force(F)  = 75 N

Average friction force (f)  = 5.0 N

displacement = 2.50 m

[tex]F_{net[/tex] = F-f

      = 75- 5 N = 70 N

Work done by the force is

W = [tex]F_{net[/tex] × S

  = 70 × 2.50 j

  = 175 j

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Mass of the astronaut on the moon is 61.22 because the acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth.

Gravitational acceleration is the acceleration gained by an object due to the force of gravity.

Weight of the astronaut on the Earth = w = 600 N

Mass of the astronaut on the Earth = w/g

Mass m = 600/9.8

m = 61.22 kg

Mass of the astronaut will remain same on the Moon but the weight will change due to the change in the acceleration due to gravity on the surface of the moon.

Acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth i.e. g' = g/ 6

g' = 9.81/6

g' = 1.63

Weight of the Astronaut on the surface of the moon = m * g'

W' = 100.094 N

Mass will be 61.22 kg and the weight will be 100.94 N on the surface of the moon.

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The resultant displacement of the feather  be 50.33 m.

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.

For instance, if an object shifts from location A to position B, its position changes. Displacement is the term used to describe this shift in an object's position.

Given that: A bird drops a feather from the roof of a 13.1 m tall building. The feather is blown 48.6 m west before falling to the ground.

So,  the resultant displacement of the feather  be = √(13.1² + 48.6²) m = 50.33 m.

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The speed of the satellite at perigee is 7074.27 m/s

What is satellite?
An object that has been placed into orbit in space on purpose is known as a satellite as well as artificial satellite. Most satellites, with the exception of passive satellites, have a means of generating electricity for the equipment they carry, such as solar panels as well as radioisotope thermoelectric generators (RTGs). The majority of satellites also have transponders, which are a type of ground station communication system. The most common satellites, small CubeSats, use a standardised bus to reduce costs and labour. Satellites of a similar type can cooperate with one another to form constellations. Satellites are made to be as light and durable as possible due to the high cost of space launch. Numerous transponders, with a bandwidth of dozens of megahertz, are carried by the majority of communication satellites, which are radio relay channels in orbit.

The speed of the satellite at perigee can be calculated using the equation of conservation of energy:
e = (½) mv2 - G(Mm/r)

Where e is the total energy of the satellite, m is its mass, v is its velocity, G is the gravitational constant, M is the mass of the Earth, and r is its distance from the Earth's center.

At apogee, the total energy of the satellite is:
e1 = (½) mv12 - G(Mm/r1)

At perigee, the total energy of the satellite is:
e2 = (½) mv22 - G(Mm/r2)

Equating the two expressions, we get:
(½) mv12 - G(Mm/r1) = (½) mv22 - G(Mm/r2)

Substituting the given values, we get:
(½)(6260 m/s)2 - G(Mm/2500 km) = (½) mv22 - G(Mm/500 km)

Rearranging the equation, we get:

mv22 = (½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)

Taking the square root of both sides, we get:
v2 = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)]

Finally, we get:
v = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)]

Therefore, the speed of the satellite at perigee is:
v = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)] ≈ 7074.27 m/s

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Yes, it is feasible for the larger force to induce less torque than smaller force when two unequal forces are applied to a rigid body.

Objects making contact each other exert a force on one another known as contact force. The region of direct contact of two objects is where the contact force acts. This force may be brief in the guise of an impulse or it may be continuous as both a continuous force. Newton's Law covers contact force.

Torque = rFsin(θ)

It is feasible for a larger force to generate less torque than a smaller force if it acts at a closer distance than that of the smaller force.

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