of the forces present in the external environment, which is considered to be significantly uncontrollable?

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Answer 1

Of the forces present in the external environment, which is considered to be significantly uncontrollable are political forces, competition force. In physics, nuclear energy is uncontrollable.

The economy, politics, competitors, customers, and even the weather are all uncontrollable factors. the energies which are mentioned in the above part are the forces that are involuntary and voluntary both and can be controlled or cannot be controlled by our own means. we cannot tend to change it. the nuclear energy whereas is the energy that generally cannot be controlled and we have to make controls to take a control over it. this is involuntary and generally cannot be controlled. by this primary information, we can firmly conclude that of the forces present in the external environment, which is considered to be significantly uncontrollable are political forces, competition force. In physics, nuclear energy is uncontrollable.

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Related Questions

there is a cerain grsavitatiounal orce between a pplanet and its moon. by doubling the mass and radious what happens to its force

Answers

By doubling the mass and the radius, the force of gravitation would also be doubled as it is directly proportional to the mass of the interacting objects.

The more massive object will pull the other body with a stronger gravitational pull since the force of gravity is exactly proportional to the masses of the two interacting bodies. Therefore, when two things' respective masses increase, so does their gravitational pull to one another. The gravitational pull between any two objects is equal to the product of their individual masses. Hence, if the mass is doubled, the gravitational force will also get doubled.

According to the Newton's law of universal gravitation, force of gravitation is directly proportional to the masses of the two interacting bodies while it is inversely proportional the the square of the distance between them. Putting 'G' as the proportionality constant, we get that

F = Gm1m2 / r²

where, m1 and m2 are the masses of the two bodies, and r is the distance between them.

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A man draws a cart of mass 100 kg at a steady rate of 10 m/s on a level road. The tension in the coupling is 100 N. Calculate the power spent on the cart. kw​

Answers

The power spent on the cart is 1000kw  

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Power is related to other factors; for instance, the power required to move a ground vehicle is equal to the product of the vehicle's velocity, traction force on its wheels, and aerodynamic drag. A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft.

How to calculate the power spent on the cart?

A man draws a cart of mass 100 kg

steady rate of 10 m/s

tension in the coupling is 100 N

Calculate power spent on the cart=P*V

P = FV , Where P = power, F = Force, V = velocity.

power spent on the cart=  P*V

                                       =100*10=1000kw    

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ike pages from a book, this sample pulls apart in thin sheets of a dark see through black layers. Due to its nature of see through dark sheets the geologist has determine this to not be a metallic material opting more for virtuous appearance.

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According to the field geologist's information, the mineral is biotite. Biotite can be separated into sheets and has vitreous sheen in hand specimens. Its color ranges from dark black to brown.

What is the purpose of biotite?

Uses. The age of rocks is frequently constrained using biotite using potassium-argon dating or argon-argon dating. These techniques might only be able to determine the minimum ages of many rocks due to the ease with which argon escapes from the biotite crystal structure at high temperatures.

Where can you most often find biotite?

Numerous places in Europe, like Monzoni and Mount Vesuvius, have biotite in their lavas. It can be found in the granite of Pikes Peak, Colorado, as well as in the pegmatites of New England, Virginia, and North Carolina in the United States. Biotite is a

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Which of the following quantities does the moment of inertia depend on (select all that apply)? The amount of mass M the object has The torque applied to the object The distribution of the object's mass relative the rotational axis The object and angular velocity L The object s angular acceleration

Answers

Moment of inertia is affected by a body's mass, how that mass is distributed within it, where its axis of rotation is located, and how far it is from that axis. Thus, all options are valid.

Moment of inertia: What is it?

Moment of inertia gauges an object's resistance to variations in rotational motion. A body's resist to changes in rotation is determined by a moment of inertia from its cross-section. It depend on how far away from the center of the body each portion of the mass is.

What is the purpose of moment of inertia?

One of the numerous mass qualities that describes an item's stability as well as the forces required to change its motion is said to be the moment of inertia. Stability is a key component in the design and manufacture of air and spacecraft in aeronautical engineering.

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what is quietest? ball bearing roller is smoother and quieter quiests silent frictionless pockect door rollers top hung

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Ball bearing roller is considered a better option for the pocket doors as compared to the top hung rollers due to reason of friction.

What is friction?

Friction is the force defying the relative side(tangential) motion of solid surfaces, fluid layers, or material elements in contact. It's generally subdivided into several kinds. Friction isn't a fundamental force, as it's deduced from electromagnetic force between charged particles, including electrons, protons, atoms, and molecules.

A ball bearing roller is generally considered to be the quietest type of roller for pocket doors. This is because the ball bearings in the roller allow for smooth, low-friction movement, which reduces noise and wear on the door and track. Frictionless or silent pocket door rollers, such as those using a track with a recirculating ball bearing, would also be very quiet. Top hung rollers also have the advantage of not having any contact with the floor and less noise.

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What are three experimental factors that might have contributed to the percent difference between fg and fc?
a. the radius
b. the speed
c. the weight

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The three experimental factors that might have contributed to the percent difference between fg and fc are radius, speed and weight.

What connection exists between hanging weight and centripetal force?

The centripetal force holding mass m1 in a horizontal circular orbit is equal to the weight of the hanging mass. When an object is moving at a certain speed, its weight exerts a force on it that causes the required centripetal acceleration; the track exerts no force on the object at all.

What forces are operating on a hanging object?

The downward pull of gravity and the upward tension force are the only two forces that the hanging mass (m2) is subject to. The centripetal acceleration of an item is independent of mass; as a result, the centripetal acceleration is unaffected by changes in mass.

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particle a has less mass than particle b. both are pushed for ward across a frictionless surface by equal forces for 1 s. both start from rest. a. compare the amount of work done on each particle. that is, is the work done on a greater than, less than, or equal to the work done on b? explain. b. compare the impulses delivered to particles a and b. explain.

Answers

Weston is practical in a particle, because particle A has less mass than particle B, particle A will accelerate more rapidly.

Friction is the barrier to motion of one thing moving relative to another. According to the International Journal of Parallel, Emergent and Distributed Systems, it is not regarded as a basic force like electromagnetic or gravity (opens in new tab). The laws governing friction were first put together by scientists in the 1400s, according to the book Soil Mechanics(opens in new tab).

However, because the interactions are so intricate, it usually takes tests to characterize the force of friction under various conditions and cannot be determined only from equations or laws. Every general frictional rule has a number of exceptions.

Weston is therefore applicable to An Particle A.

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Echolocation is a form of sensory perception used by
most bats, toothed whales and porpoises, as well as a
few birds. The animal emits a pulse of sound which
is reflected from objects; the reflected pulse is then
detected by the animal to learn about its environ-
ment or interact with other animals. Echolocation • waves emitted by whales have frequencies of about 200,000Hz. (a) What is the wavelength of the whale's echolocation wave? (b) If an obstacle is 100m from the whale, how long after the whale emits a wave will the reflected wave return to him?

Answers

Answer:

(a) What is the wavelength of the whale's echolocation wave?

a boy is using a rope to pull a sled to the right. what are the directions of the tension force and the friction force on the sled respectively?

Answers

Answer:

Tension force: towards boy

Friction: away from boy

Explanation:

For this problem, assume that the boy is pulling the sled from left to right

Tension force:

The tension force is going to the right (towards the boy) because the boy is the one who is applying the tension force onto the sled for it to follow him.

Friction force:

In this case, there is kinetic friction between the ground and the sled. The kinetic friction is slowing down the sled, which is going to the right, therefore the direction of the friction force is pointing to the left (away from the boy)

bonus: an airplane traveling northeast at a speed of 25 m/s increases its speed to 30 m/s in 10 seconds. what is the airplane's acceleration?

Answers

An aeroplane travelling northeast at 25 m/s increases its speed to 30 m/s in 10 seconds. The aeroplane accelerates at 0.5 m/s².

a=v-u/t

a= 30-25/10

a= 5/10

a= 0.5 m/s²

Speed is defined as the ratio of distance travelled to time spent travelling. Because it has only one direction and no magnitude, speed is a scalar quantity.

The most important concept in science is measurement. Many measurable quantities are expressed in base or physical fundamental units. One such measurable quantity is speed, which is defined as the ratio of the distance travelled by an object to the time required to travel that distance. Let us learn about speed in depth in this session.

When an object travels the same distance in equal time intervals, it is said to be moving at a uniform speed. When an object travels a different distance at equal intervals, it is said to be moving at a variable speed.

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T/F since v = λ f, the speed v of a wave depends on its frequency f.

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The statement that "the speed v of a wave depends on its frequency (f)" is true.

Speed(v) is the distance travelled by an object or wave in unit time. Whereas frequency(f) of a wave is the number of oscillations or number of complete cycles in one second is called frequency(f). On the other hand the distance between two consecutive trough or crest is called the wavelength(λ), in which a wave completes a cycle. The relation between the speed(v), wavelength(λ), and frequency is as follows:

v = λf

Hence we can say that velocity of a wave depends on its frequency.

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a soft tennis ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.00 m. (assume that the positive direction is upward.) (a) calculate its velocity (in m/s) just before it strikes the floor.

Answers

Its velocity (in m/s) just before it strikes the floor is - 5.42 m/s.

The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Given,

height = 1.50m

rebound height = 1.00m

Using the equation of motion,

v² = u² - 2as

⇒ v = - √(u² + 2(-9.81 m/s² × - 1.50m))

v = - 5.42 m/s

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When you make several trips to unload a few heavy items from a car instead of moving them all at once, the total distance over which you exert yourself________________.

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When you make several trips to unload a few heavy items from a car instead of moving them all at once, the total distance over which you exert yourself increases.

When you make multiple trips to unload heavy items from a car, you are covering the same distance multiple times, which increases the total distance over which you exert yourself.

Carrying heavy items repeatedly can cause strain on the muscles, joints, and bones, especially if not done properly, which can lead to injuries over time. It would be more efficient to move all of the items at once, as this would reduce the total distance covered and the overall amount of effort required.

This is a simple example of the principle of "work smart, not hard".

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) if the nearest object is 10 cm from the observer, approximately how far away is the farthest object in cm?

Answers

This same statement expresses the fact that to the furthest item is 80 cm distant.

An object declaration class is what?

The combination of objects known as an object class may be characterised in by the traits that all of its members share. So all e-mail systems get some characteristics, generic e-mail, for instance, may be an object class.

The left item has travelled about 1/4 of the distance contrasted to the centre object, which means that if the centre object were to be pushed half as far as the right object, it would be pretty far away (20 cm). Consequently, add 4 to the centre object's distance.

It is 80 cm distant from the furthest item.

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The complete question is-

If the nearest object is 10 cm from the observer, approximately how far away is the farthest object?

________cm

How many electrons have been removed from a positively charged cube if it has a net charge of 7.5 x 10^-11 C

Answers

Answer:

Explanation:

The net charge of an object is equal to the number of electrons removed or added multiplied by the charge of an electron (1.6 x 10^-19 C).

Given: Q = 7.5 x 10^-11 C

To find the number of electrons removed we can use the formula :

Q = n * e

where Q is the charge, n is the number of electrons, and e is the charge of an electron

n = Q/e

Therefore, n = 7.5 x 10^-11 C / 1.6 x 10^-19 C = 4.6875 x 10^8 electrons

So, 4.6875 x 10^8 electrons have been removed from a positively charged cube with a net charge of 7.5 x 10^-11 C

what type of acceleration is used to maintain slow forward motion or allow speed to increase gradually

Answers

The type of acceleration used to maintain slow forward motion or allow speed to increase gradually is called constant acceleration.

What is constant acceleration?

This type of acceleration refers to a change in velocity that occurs at a constant rate over a period of time, in other words the acceleration is uniform.

For example, a car that is accelerating from a stop to a slow, steady speed would be experiencing constant acceleration. The speedometer in the car would show a gradual increase in speed, rather than a sudden jump.

This is different from non-uniform acceleration, where the rate of change in velocity is not constant. For example, a car accelerating rapidly from a stop to a high speed would be experiencing non-uniform acceleration, as the speedometer would show a rapid increase in speed.

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A 1.80-m-long barbell has a 22.0 kg weight on its left end and a 32.0 kg weight on its right end. where is the center of gravity if the 9.00 kg mass of the barbell itself is taken into account?

Answers

The center of gravity for the barbell is located 1.46 m to the right of the left end weight.

How is the center of gravity calculated for an object with multiple weights on it?

The center of gravity for an object with multiple weights on it is calculated by taking the sum of the weights multiplied by their respective distances from a reference point, and dividing by the total weight of the object. The reference point is typically the center of the object, or a point where the object is supported. In the case of the barbell, the reference point would be the center of the barbell, and the distance would be measured from the center of the barbell to the center of the weights. The center of gravity is the point where the weight of the object is balanced and where the object would rotate if suspended from that point.

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If the solar system were the size of your campus, how far away would the nearest star be?.

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The nearest star, Proxima Centauri, would be about 4.22 light-years away if the solar system were the size of a campus.

The scale of the solar system is vast and difficult to imagine. To give a sense of perspective, if the solar system were scaled down to the size of a campus, with the sun at the center of the campus, the nearest star, Proxima Centauri, would be located about 4.22 light-years away or 24.9 trillion miles. That would be equivalent to traveling around the world over 1,174,000 times. This distance is extremely large and it is hard to comprehend but this gives us an idea of how vast and empty space is. Even the closest stars to our solar system are incredibly distant, and it's hard to imagine just how far away the more distant stars and galaxies are.

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Determine v₁ and v₂ in the circuit102 Ω 3 A V1 10 Ω 10 V 20 Ω 51%

Answers

The value of v₁ and v₂ is 10V and -10V respectively. This is because of Kirchoff's law. The potential is distributed in the gap and node and the potential is distributed.

The potential difference (which is the same as voltage) is equal to the amount of current multiplied by the resistance. A potential difference of one Volt is equal to one Joule of energy being used by one Coulomb of charge when it flows between two points in a circuit. **Ammeters: **An ammeter measures the flow of current that passes through it. the potential of any cell or battery is the difference between the positive and negative terminal through the terminal difference. by this primary information, we can firmly conclude that the value of v₁ and v₂ is 10V and -10V respectively. This is because of Kirchoff's law. The potential is distributed in the gap and node and the potential is distributed.

Determine v₁ and v₂ in the circuit

A. 3 ohm

B. 10 ohm

C. -10 ohm

D. 20 ohm

E. 2 ohm

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when helping a friend move into a new home, you push a chair across the room. what do you know about the force of friction applied to the chair by the floor?

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If the velocity of the chair is constant, then the net force reserve on it is zero. The force you apply to keep it going is equal and opposite to the force of friction.

friction, force that oppose the sliding or rolling of one solid object over another. Frictional forces, such as the grip needed to walk without slipping, may be favorable, but they also present a great compute of opposition to motion.

About 20 percent of the engine power of automobiles is inject in overcoming frictional forces in the moving parts.

The major cause of friction between metals emerges to be the forces of attraction, known as adhesion, between the contact section of the surfaces, which are always microscopically uneven.

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a basketball player jumps straight up for a ball. to do this, he lowers his body 0.300 m and then accelerates through this distance by forcefully straightening his legs. this player leaves the floor with a vertical velocity sufficient to carry him 0.900 m above the floor. (a) calculate his velocity when he leaves the floor.

Answers

The velocity of the basketball player when he leaves the floor is 3.33 m/s.

How does the player's vertical velocity relate to the height he reaches while jumping?

The player's vertical velocity is directly related to the height he reaches while jumping. The greater the player's vertical velocity, the higher he will be able to jump. In this case, the player's vertical velocity is sufficient to carry him 0.900 m above the floor. Without this velocity, he would not be able to reach this height. Additionally, the initial velocity is dependent on the potential energy converted to kinetic energy and the distance to cover during the movement.

How do you calculate his velocity when he leaves the floor?

The following kinematic equation can be used to determine the basketball player's velocity:

v^2 = u^2 + 2as

v = √(2as) (2as)

The force and mass of the player can be used to compute the acceleration.

Assuming that the player advances vertically 0.300 m, the force is the force the player applies to the ground.

F=m x a and a=F/m

Task, W = F x d

The change in kinetic energy is equivalent to the work completed.

W = Fd = ma x d = 1/2 x m x v2 W = 1/2 x m x v2 W = a = 2 x W / m x d = 2 x v2 / d

Changing the value of an in the previous equation:

v = √(2 x 0.900 m x v^2 / 0.300 m)

v = √(6 x v^2)

v = √(6) (6) x v

v = 3.33 m/s

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A 57g tennis ball is served at 45m/s .
If the ball started from rest, what impulse was applied to the ball by the racket?
Express your answer using two significant figures.

Answers

The impulse is 2565 gm/s or Ns ( Newton seconds) rounded to two significant figures.

What do you mean by impulse?

Impulse is a measure of the change in momentum of an object, and it is given by the product of force and time for which the force is applied. Mathematically, impulse is represented as the integral of force with respect to time. The impulse-momentum theorem states that the impulse applied to an object is equal to the change in momentum of the object.

The impulse applied to the ball by the racket can be calculated using the impulse-momentum theorem, which states that the impulse applied to an object is equal to the change in momentum of the object. The impulse is equal to the force multiplied by the time for which the force is applied.

Impulse = change in momentum = final momentum - initial momentum

The final momentum of the ball is 57g * 45m/s (mass * velocity)

The initial momentum is 0 (since the ball starts from rest)

Therefore,

Impulse = 57g * 45m/s - 0

The impulse is 2565 gm/s or Ns ( Newton seconds) rounded to two significant figures.

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A man pushed with 3.5 N on a crate of oranges for 3 seconds. If the crate moved 2 meters, what was the power delivered? Round to one decimal.

Answers

Answer:

P = 2.3 W

Explanation:

power = work done/time

∴ work done = force x distance

P = (F x d)/t

F = 3.5 N

t = 3 s

d = 2 m

P = ?

P = (3.5 x 2)/3

P = 2.3 W

A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour?32 20 2516

Answers

The 25 cars (C) represent those traveling between 40 and 48 miles per hour.

A box plot or boxplot is a visual representation of the location, dispersion, and skewness groups of quartiles of numerical data. These are employed when displaying the distribution of data points across a chosen metric. These graphs show the ranges of the measured variables.

A box plot displays 25% of the data in each section. In this range, 25% of the data is displayed. Therefore, 100 individuals are included for each component. In order to determine the number of cars present between the 40 and 48 box plot, we will multiply 100 by 25%, which is 25 cars.

Thus Option C is the right choice.

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An electromagnetic wave in a vacuum traveling in the +x direction generated by a variable source initially has a wavelength λ of 235 μm and a maximum electric field Emax in the +y direction of 4.40×10−3 V/m . If the period of the wave is then increased by a factor of 2.30, what is the equation of the resulting magnetic field component of the wave?
What are the coefficients in the equation for the magnetic field component of the wave after the period increases by a factor of 2.30?
want: Bmax, k, w
I continue to get "You have used the initial period to calculate the final wavenumber. Keep in mind that the period has been increased."
the solutions I have are:
Bmax= 14.667*10^-12
k= 26737
w= 3.487*10^12

Answers

An electromagnetic wave in a vacuum consists of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of wave propagation. The equations for the electric and magnetic fields of an electromagnetic wave can be written in the form:

E = E0 cos(kx - wt) and B = B0 cos(kx - wt)

Where E0 and B0 are the amplitudes of the electric and magnetic fields, respectively, k is the wave number, x is the position, t is the time, and w is the angular frequency.

The wave number k is related to the wavelength λ and the angular frequency w is related to the period T by the following equations:

k = 2π/λ and w = 2π/T

Given that the wavelength of the wave is 235 μm and the period is T = 2.3 * (1/500 s) = 4.6 x 10^-4 s

The wave number k is:

k = 2π/λ = 2π/235 x 10^-6 m = 8.57 x 10^7 rad/m

The angular frequency w is:

w = 2π/T = 2π/(4.6 x 10^-4 s) = 1369.6 rad/s

The equation for the electric field component of the wave is given as:

E = E0 cos(kx - wt) = 4.40 x 10^-3 V/m cos(8.57 x 10^7 x - 1369.6 t)

The equation for the magnetic field component of the wave is given as:

B = B0 cos(kx - wt) = B0 cos(8.57 x 10^7 x - 1369.6 t)

The coefficient for the magnetic field component of the wave is B0, which is not specified in the question, it can be determined by using the relationship between the Electric field, Magnetic field and the speed of light.

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a bucket filled with water has a mass of 23 kg and is attached to a rope, which in turn is wound around a 0.05 m radius cylinder at the top of a well. what torque does the weight of the water and bucket produce on the cylinder? (g

Answers

Torque the weight of the water and bucket produce on the cylinder is 11.4NM

What is torque?

Torque is a measure of how much a force causes an object to rotate around an axis. It is the rotational equivalent of force. It is measured in Newton-meters (Nm).

Torque = Force x Radius

Force = Mass x Acceleration due to gravity

Torque = (23 kg x 9.81 m/s2) x 0.05 m

Torque = 11.4 Nm

Hence, Torque the weight of the water and bucket produce on the cylinder is 11.4NM

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a toy cannon uses a spring to project a 5.20-g soft rubber ball. the spring is originally compressed by 4.90 cm and has a force constant of 7.97 n/m. when the cannon is fired, the ball moves 14.7 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 5 n on the ball. (a) with what speed does the projectile leave the barrel of the cannon?

Answers

The speed of the projectile leaving the barrel of the cannon can be calculated using the equation:v = √(2Fx/m),where F is the force applied to the projectile, x is the distance the projectile travels, and m is the mass of the projectile.Plugging in the given values we get:v = √(2*(7.97N/m)*(4.9cm) / (5.20g)),v = 15.5 m/s

What is the force ?

Force is an influence that causes an object to change its momentum, either by changing its speed, direction, or both. It is one of the fundamental concepts in physics and is usually described as a push or pull. It can be described mathematically as a vector, and it can be measured in newtons (N). Forces are a result of interactions between two objects, and they can be contact forces, such as friction, or non-contact forces, like gravity. Forces can also be generated internally, such as when a muscle contracts. Forces can cause objects to accelerate, decelerate, bend, or change shape.

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A proton with an initial speed of 900,000 m/s is brought to rest by an electric field.

What was the potential difference that stopped the proton?

Express your answer to two significant figures and include the appropriate units.

What was the initial kinetic energy of the proton, in electron volts?

Express your answer using two significant figures.

Answers

The potential difference that stopped the proton is 8.75 × 10²⁴ V.

The kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.

What is potential difference?

The potential difference that stopped the proton can be found using the equation: work done = qV = kinetic energy lost, where q is the charge of the proton (1.6 x 10⁻¹⁹ C), V is the potential difference, and kinetic energy lost is the initial kinetic energy of the proton.

Since the proton is brought to rest, the final kinetic energy is 0, so the initial kinetic energy can be found by:

kinetic energy = 1/2 × m × v²

where m is the mass of the proton (1.67 x 10⁻²⁷ kg) and v is the initial speed of the proton (900,000 m/s), the kinetic energy of the proton is 2.25 × 10⁻¹³ J or 1.4 × 10⁶ eV.

The potential difference can be found by:

V = kinetic energy lost / qV = 1.4 × 10⁶ eV / 1.6 × 10⁻¹⁹ C V = 8.75×10²⁴ V.

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mercury has a specific gravity of 13.6. how many milliliters of mercury have a mass of 0.35 kg? a. 0.0257 ml b. 0.026 ml c. 25.7 ml d. 26 ml e. 4760 ml

Answers

26 ml. of mercury have a mass of 0.35 kg. So option d is correct.

To find the volume of the mercury, we can use the relationship between mass, density, and volume, which is:

mass = density x volume

The density of mercury is 13.6g/cm^3 and its mass is 0.35 kg

so, we can rearrange the formula to:

volume = mass/density

To convert the volume to milliliters we can use the conversion factor 1cm^3 = 1 ml

So,

volume = (0.35 kg) / (13.6 g/cm^3) = (350000 g) / (13.6 g/cm^3) = 25714.28 cm^3 and since 1 cm^3 = 1ml

volume = 25714.28 ml

Thus, 26 ml. of mercury have a mass of 0.35 kg. So option d is correct.

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n and k are positive integers. When n is divided by 23, the quotient is 2k and the remainder is j. What is the value of j + k?(1) When n is divided by 15, the quotient is 3k and the remainder is 5j(2) When n is divided by 9, the quotient is 5k and the remainder is 5j

Answers

The value of j + k where n and k are positive integers and j is the remainder is 46/225.

Statement 1: When n is divided by 15, the quotient is 3k and the remainder is 5j

From this statement we know that n = 15(3k) + 5j,

Statement 2: When n is divided by 9, the quotient is 5k and the remainder is 5j.

From this statement we know that n = 9(5k) + 5j,

We know that 23 and 15 have a common factor of 1, so we can use statement 1 to find the value of j+k:

n = 15(3k) + 5j

n = 23(2k) + j

From these two equations, we know that -

15(3k) = 23(2k) + j

solving we get,

225k = 46k + j

j+k = 46k/225k = 46/225

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