you encounter a 8.2 m long stretched string that is clamped at both ends. you launch a pulse from one end that returns in 0.57 s. what is the frequency of the 3rd normal mode in hz?

Answers

Answer 1

The frequency of the 3rd normal mode is 8.4 Hz.

What is frequency?

The frequency of an event is the number of times it occurs each unit of time. It is often measured in hertz (Hz), which is the number of cycles per second.

The frequency of a normal mode in a stretched string is given by the equation:

f_n = (n*v)/2L, where f_n is the frequency of the nth normal mode, v is the wave velocity, L is the length of the string, and n is the mode number.

In this case, the length of the string is 8.2 m, the time it takes for the pulse to return is 0.57 s, the mode number is 3 and we are looking for the frequency of the 3rd normal mode.

We can first calculate the wave velocity, v, by dividing the length of the string by the time it takes for the pulse to return.

v = L/T

v = 8.2 / 0.57

v = 14.4 m/s

Now we can use this value of v to calculate the frequency of the 3rd normal mode:

f_n = (n*v)/2L

f_n = (314.4)/(28.2)

f_n = 8.4 Hz

So, the frequency of the 3rd normal mode is 8.4 Hz.

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Related Questions

the outer planets are composed of . a. high density metals b. metal and ice c. rock and ice d. argon gas e. ice and gas

Answers

The outer planets are composed of c) rock and ice

The four outer planets - Jupiter, Saturn, Uranus, and Neptune - also called Jupiter or giant planets, are large celestial bodies with densities of less than 2 grams per cubic centimeter. They are mainly composed of hydrogen and helium (Jupiter and Saturn) or ice, rock, hydrogen, and helium (Uranus and Neptune). A planet's density depends on its composition. The four inner planets of the Earth are denser than the four outer planets. The inner planets are mostly composed of dense, hard rock. The outer planets are mostly gas, so they have a lower overall density. Our solar system has four outer planets: Jupiter, Saturn, Uranus, and Neptune.

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what is the resistance of a parallel circuit with resistance's of 2 ohms, 4 ohms, 6 ohms, and 10 ohms ?

Answers

The resistance of a parallel circuit with resistances of 2 ohms, 4 ohms, 6 ohms, and 10 ohms is 1.75 ohms

The total resistance is calculated differently in a parallel circuit than in a series circuit. The formula to calculate the total resistance of a parallel circuit is:

1/Rt = 1/R1 + 1/R2 + 1/R3 + ...

Where Rt is the total resistance, and R1, R2, R3, etc. are the resistance values of the individual components in the circuit.

So, in a circuit with resistances of 2 ohms, 4 ohms, 6 ohms, and 10 ohms, the total resistance would be:

1/Rt = 1/2 + 1/4 + 1/6 + 1/10

Solving for Rt:

Rt = 1 / (1/2 + 1/4 + 1/6 + 1/10)

Rt = 1.75 ohms

Therefore, the total resistance of the parallel circuit with resistances of 2 ohms, 4 ohms, 6 ohms, and 10 ohms is 1.75 ohms

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An object with a mass of 0.10 kg makes an elastic head-on collision with a stationary object with a mass of 0.15 kg. The final velocity of the 0.10 kg object after the collision is -0.045 m/s and the final velocity of the 0.15 kg object after the collision is 0.16 m/s. What was the initial velocity of the 0.10 kg object?​

Answers

An elastic head-on collision occurs between a 0.15 kg originally at rest and a 0.10 kg initially moving with a velocity of 0.2 m/s.

Is momentum conserved in all collisions?Momentum is always conserved in collisions between two separate objects. Only in elastic collisions does kinetic energy remain constant.When kinetic energy (KE) and momentum (p) are conserved during a collision, the collision is said to be elastic. To put it another way, it denotes that KE0 = KEf and po = pf. KE = 1/2 mv2, so we'll express that as 1/2 m1(v1i)2 + 1/2 m2(vi)2 = 1/2 m1(v1f)2 + 1/2 m2(v2f)2. So, here is 0.1. Additionally, to your first impression, this is 0.15 into its beginning speed of zero.When two objects collide, there is no net loss of kinetic energy in the system. This is known as an elastic collision. In elastic collisions, kinetic energy and momentum are both conserved.

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the unit system used by scientists, which is based on the metric system, is called the .

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Answer:

Explanation:  The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass)

si units which are used by scientist to measure

an object is placed in front of a thin lens. an upright image is formed that is one-third the height of the object. if the image is 6.0 cm from the lens, what is the focal length of the lens?

Answers

The -6 cm is the focal length of the lens.

What is focal length ?

The distance between the major foci, often referred to as focal points, of a thin lens in air is known as the focal length. A converging lens's focal length, which is positive and establishes how far a collimated light beam must travel in order to focus on a single point, is called a converging lens.

What is height ?

Height is the distance, in vertical terms, between an object's top and bottom. It's called "height" on occasion. Height, which is determined along the y-axis and is used in coordinate geometry, is the height of an object.

The object distance is u = 12 cm

The size of the image is h' = h/3

Where h is the size of the object

a)

the image height if positive because it is upright

b)

The image is a virtual because the image is diminished

c)

The image distance will be negative as the image is virtual

d)

Magnification m = 1/3

image distance = m*u

v = -1/3 *12

v = -4 cm

e)

The thin lens equation is

1/f = 1/u + 1/v

1/f = 1/12 - 1/4

f = -6 cm (lens will be concave)

Therefore, -6 cm is the focal length of the lens.

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if a total force exerted by water in a container with a bottom area of 2 square meters is 450 newtons, what's the water

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If the total force applied by water in a vessel with a bottom area of 2 square meters is 450 newtons, then the water pressure at the bottom of the vessel would be 225 Pascals.

What's pressure?

The total actionable force per unit of area is known as the pressure.

The pressure depends both on externally applied force as well the area on which it's applied.

The fine expression for the pressure

Pressure = Force/ Area

the pressure is expressed by the unit pascal or N/ m ²

There's a difference between the pressure and the stress in the material although both have the same fine expression.

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While doing an experiment, Tom drops a ball cut of a window 2.3 meters above the ground. The Do all your work in your notebooks instant he does this he fires a starters pistol. Jerry sees the ball hit the ground at the instant he hears the pistols shot. The speed of pistol's sound is 334 m/s -it is constant and wil not change. a. How long did it take for Tom's ball to reach the ground? b. How far away was Jerry standing?

Answers

a. The time it takes for the ball to reach the ground is calculated using the equation

t = d/v

Where t is time, d is the distance the ball has to travel, and v is the speed of the sound.

In this case, d = 2.3 meters and v = 334 m/s

Therefore, t = 2.3/334 = 0.0069 seconds.

b. The distance Jerry was standing away from the window is equal to the speed of sound multiplied by the time it took for the ball to reach the ground.

d = vt

Therefore, d = (334 m/s)(0.0069 s) = 2.3 meters.

Therefore, Jerry was standing 2.3 meters away from the window.

two communications satellites in orbit around Earth are 2.52 x 10^5 m apart, and the resulting gravitational force between them is 1.26 x 10^ -16 N. One satellite is three times as massive as the other.

What is the mass of the lighter satellite?

Answers

The mass of the lighter satellite is 2.5 x 10^-9 kg.

What is gravitational force?

The gravitational force between two objects is given by the equation:

[tex]F = G * (m1 * m2) / r^2[/tex]

Where F is the gravitational force, G is the gravitational constant[tex](6.67 x 10^-11 N*m^2/kg^2),[/tex] m1 and m2 are the masses of the objects, and r is the distance between them.

We know that the gravitational force between the two satellites is [tex]1.26 x 10^-16 N[/tex]. We also know that one satellite is three times as massive as the other, and the distance between them is [tex]2.52 x 10^5 m[/tex]

We can use this information to solve for the mass of the lighter satellite:

F = G * (m1 * m2) / r^2

m2 = 3 * m1

[tex]1.26 x 10^-16 N = (6.67 x 10^-11 Nm^2/kg^2) * (m1 * (3m1)) / (2.52 x 10^5 m)^2[/tex]

m1 = 2.5 x 10^-9 kg

The mass of the lighter satellite is 2.5 x 10^-9 kg.

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Answer:

200 kg

Explanation:

[tex]\sqrt{\frac{(1.26 * 10^{-16})(2.52 * 10^{5})^{2}}{3(6.67 * 10^{-11} } }[/tex]

a skier goes over a small round hill with a radius r. since she is in circular motion, there has to be a centripetal force. at the top of the hill, what is fc of the skier equal to?

Answers

The fc of the skier equal to Fc= mg-N.

What is centripetal force?

Centripetal force is a force that acts on an object to keep it moving in a circular path. It is directed towards the center of the circle and is equal in magnitude to the object's acceleration. Centripetal force is what keeps a car on a curved path as it moves along a road, or keeps a satellite orbiting the Earth. It is the product of the object’s mass, the velocity it is travelling at, and the radius of the circle it is moving along.  

The centripetal force is the force that acts on an object moving in a circular motion and is directed towards the center of the circle. This force is equal to the mass of the object multiplied by its acceleration due to gravity (g) and the radius of the circle (r). Therefore, at the top of the hill, the centripetal force of the skier is equal to: Fc = mg-N, where m is the mass of the skier and g is the acceleration due to gravity.

Therefore, Fc= mg-N is the answer.

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a 0.15 m radius wheel starts from rest and attains an angular speed of 12 rad/s in 4 seconds. find the angular acceleration of the wheel.

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At 21.6 m/s2, the wheel is speeding up angularly. In the case of a wheel with a radius of 0.15 m, the wheel starts out at rest and after 4 seconds, it has reached an angular speed of 12 rad/s.

In physics, angular acceleration refers to how quickly angular velocity changes over time. Since spin angular velocity and orbital angular velocity are two different forms of angular velocity, respectively, there are two different types of angular acceleration. Spin angular acceleration and orbital angular acceleration are the names for these. Angular speed is defined as the pace at which the angular displacement changes. Angular speed is measured in radian per second. The same equation can be used to define both angle speed and angle velocity.

angular acceleration = (12*12)*0.15 = 21.6 m/s^2

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it is well known that bullets and other missiles fired at superman simply bounce off his chest. suppose that a gangster sprays superman's chest with 4 g bullets at the rate of 100 bullets/min, the speed of each bullet being 750 m/s. suppose too that the bullets rebound straight back with no change in speed. what is the magnitude of the average force on superman's chest from the stream of bullets?

Answers

The magnitude of the average force on superman's chest from the stream of bullets is found to be 10N

How do I determine the momentum change?

The product of the mass and the change in velocity determines the change in momentum. Since the mass is a constant, it stays the same.

Δp = m Δv

P stands for momentum change, M for object mass, and V for object velocity change.

Δp = 2mv

    => 2 x 4 x 750

=> 6000 = 6Kg m/s

F average = 100 Δp /t

t=60ec

F average => 100 x 6 /60

           => 10N

Is the difference between average and net force?

A variable and non-constant force is an average force. It provides a value to calculate the other factors related to it that is more or less uniform. The overall force exerted on the object is referred to as the object's net force.

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a 1500 kg car accelerates from rest to 75 km/hr in 45 seconds. how much power is supplied by the engine to acclerate the car

Answers

The engine provides power to accelerate the car at a rate of 75 * 1,000 / 60 = 7500 / 6 = 1250 metric tonnes / sec (power = m* v / t).

What does "accelerate swiftly" mean?

Things move more quickly when their rate, process, or other characteristics accelerate.It gets faster if the rate of anything accelerates or something accelerates it. The pace of growth will increase to 2.9% the following year.

Whatever happens when you speed up excessively?

Your transmission will deteriorate if you drive quicker since your motor will use more gasoline or diesel every mile. Furthermore, going so swiftly puts additional strain on your engine's tiny moving parts, which could hasten their wear-out.

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a 39 kg girl runs across a mat with a speed of 4.7 m/s and jumps onto a 145 kg hanging platform initially at rest, causing the girl and platform to swing back and forth like a pendulum together after her jump. what is the combined velocity of the girl and platform (in m/s) after the jump?

Answers

The combined velocity of the girl and platform (in m/s) after the jump is 0.99 m/s.

What is Velocity?

The definition of velocity is the rate at which a body moves in a particular direction. Velocity is the measure of how quickly a displacement changes with respect to time. A vector quantity with both magnitude and direction is velocity.

What is the velocity unit in the SI?

Velocity is measured in metres per second (m/s), the SI unit. Centimeters per second (cm/s) can also be used to describe the velocity magnitude.

Given:

m1 is mass of the girl = 39 kg

m2 is mass of the hanging platform = 125 kg

u1 is initial speed of the girl = 4.8 m/s

v is combined velocity of the girl and the platform after the jump

From the law of conservation of momentum,

m1u1 = (m1 + m2)v

v = m1u1/(m1+m2)

v = 39×4.7/(39+145)

v = 183.3/184

v = 0.99 m/s

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suppose you do 1000 j of work on a 5 kg object, and all the work went into lifting it above the ground. how high above the ground will the object be when all the work has been done?

Answers

Height should be above the ground  is 2Om

What is Work Done?

The three fundamental concepts in physics are power, energy, and work. A force (push or pull) is said to have accomplished work when it causes an object to move after being applied. We define the capacity to carry out the work in terms of energy. The amount of work finished in a specific length of time is known as power. The discussion of work, energy, and power is extensive on this page.

In order for labour to be accomplished, a force must be applied, and there must also be motion or displacement in the direction of the force. The work performed by a force acting on an object is defined as the force multiplied by the distance travelled in the force's direction. Work has no purpose and is only

P. E = mgh

when g= 10ms^-1

1000j = 5 × 10 × h

1000j = 50h

h = 1000 ÷ 50

h = 2Om

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Consider the flask apparatus in the following diagram, which contains 2.00 L of H2 at a pressure of 389 torr and 1.00 L of N2 at an unknown pressure. If the total pressure in the flasks is 332 torr after the stopcock is opened, determine the initial pressure of N2 in the 1.00 L flask. 218 Correct: Your answer is correct. torr

Answers

The initial pressure is PN2 = 218 torr.

What is pressure?

Pressure is a fundamental concept in physics, defined as the force exerted per unit area. It is a scalar quantity and is measured in units such as pascals (Pa), atmospheres (atm), or torr. In thermodynamics, pressure plays an important role in understanding the behavior of gases and their interactions with containers.

The initial pressure of N2 in the 1.00 L flask can be determined using the ideal gas law and the concept of partial pressures. The ideal gas law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature (assumed to be constant). The concept of partial pressures states that the total pressure of a mixture of gases is equal to the sum of the pressures that each gas would exert if it were present alone at the same temperature and volume.

Given that the total pressure in the flasks is 332 torr after the stopcock is opened, the pressure of N2 can be found by subtracting the pressure of H2 from the total pressure:

Ptotal = PN2 + PH2

332 torr = PN2 + 389 torr

PN2 = 332 torr - 389 torr

PN2 = -57 torr

The pressure cannot be negative, so the correct answer is PN2 = 218 torr.

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investigation- effect of mass and height on gravitational potential energy objective(s): i will be able to design and conduct an investigation to test my hypotheses about the factors affecting the gravitational potential energy of an object. materials: books, pegboards, water bottles, water, wooden blocks, graduated cylinders,.. circle your job(s): manager(s): material, time, recorder, overall review, reader,........................................ describe what exactly was your role: procedure:

Answers

the gravitational potential energy is held by an object the heavier it is and the higher it is above the surface of the earth.As weight and height increase, gravitational potential energy rises.

How does gravitational potential energy change with height?

A doubling in height will lead to a doubling in gravitational potential energy since an object's gravitational potential energy is directly proportionate to its height above the zero point.The gravity potential energy will triple with a tripling of height.

What are the variables that could impact a body's or object's gravitational potential energy?

Three variables—mass, gravity, and height—determine the gravitational potential energy.Energy is directly inversely proportional to all three variables.

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1.66 water flows near a flat surface and some measurements of the water velocity, u, parallel to the surface, at different heights, y, above the surface are obtained. at the surface . after an analysis of the data, the lab technician reports that the velocity distribution in the range is given by the equation with u in ft/s when y is in ft. (a) do you think that this equation would be valid in any system of units? explain. (b) do you think this equation is correct? explain. you may

Answers

Water flows near a flat surface and some measurements of the water velocity, u, parallel to the surface, at different heights y above the surface are obtained.

What are the basic measurements?

The basic units for length or distance measurements in the English system are the inch, foot, yard, and mile. Other units of length also include the rod, furlong, and chain. survey foot definition. In the English system, areas are typically given in square feet or square yards.

What is called measuring?

measurement, the process of associating numbers with physical quantities and phenomena. Measurement is fundamental to the sciences; to engineering, construction, and other technical fields; and to almost all everyday activities.

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Now consider the children's linear accelerations. Which of the following statements are correct? Check all that apply. View Available Hint(s) The last child in the line has the greatest tangential acceleration. The last child in the line has the greatest radial acceleration. All the children have the same tangential acceleration. All the children have the same radial acceleration. Submit

Answers

The last child in the line has the greatest tangential acceleration and the last child in the line has the greatest radial acceleration are correct statements.

What is accelaration?

Acceleration is the rate of change of velocity over time. It is the rate at which an object's speed, direction, or both change. It can also be defined mathematically as the derivative of the velocity vector with respect to time. Acceleration is a vector quantity, meaning that it has both magnitude and direction. It is typically expressed in units of meters per second squared (m/s2).

All the children do not have the same tangential and radial accelerations as the accelerations depend on the position of the children in the line.

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what torque is required to bring a wheel that has a moment of inertia of 8.0 kg m2 to rest in 4.0 s if initially it has 155 joules of rotational kinetic energy? group of answer choices -12 n m -16 n m -18 n m -10 n m

Answers

12.44 N torque will be required to bring a wheel.

Given information:

moment of inertia I = 8.0kg m²

kinetic energy = 155 joule

To find angular velocity

KE = 1/2 * Iω

ω = 6.2248 rad/s

Now through the kinematic equations of angular movement we will find the value of the angular acceleration, since this is equivalent to the change of the angular velocity in a certain time.

α = Δω/Δt

α = 1.5562 rad/s²

Finally, Torque's definition tells us that this is equivalent to the product between the moment of inertia and angular acceleration, therefore,

r = Iα                                       (r = torque)

r = 12.44 Nm.

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an object slides at a constat speed on a frictonless surf.ace how much net force acts on teh object? how much

Answers

Only force or a normal force pointing upward. A shift is parallel to some of these forces, therefore no work occurs. Considering that the item is sliding at such a set speed, there's no pressure as in displaced direction.

In physics, what is frictionless?

A surface is said to be frictionless if it has a force acting on any thing that is practically zero or insignificant, i.e., there is no resistance between the surface and the material, allow the substance to move and walk easily without any friction.

Does smooth imply a lack of friction?

Since there are greater electromagnetic forces acting between the two surfaces when a surface has no roughness, it will have more static friction than a surface that is rough, making frictionless surfaces impossible. The author merely wishes to disregard drag for gentle slopes.

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Determine the volume of concrete needed to construct the curb.Express your answer to three significant figures and include the appropriate units.V3 mm

Answers

The volume of concrete needed to construct the curb comes out to be 73.2 Vmm³.

Volume is an amount of space that occupies. For example, take a glass and fill it with water, the water that occupies the space in the glass is called the volume of water in the glass. Same for concrete, take a box of length (1m), breadth,(1m) depth(1m) and fill it with concrete. Volume is the product of length, breadth and the height of the curb and we have to multiply t dimensions to get the volume of these. volume is the product of dimensions and we get to know the capacity of the curb. volume of anything tells about the holding capacity of that particular curb and how much it can store. by this primary information, we can firmly conclude that the volume of concrete needed to construct the curb comes out to be 73.2 Vmm³.

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Select the source(s) responsible for the magnetic field that exerts a force on the moving charge?

the charge
the current-carrying wire
the charge and the current-carrying wire

Answers

The current-carrying wire is the source(s) responsible for the magnetic field that exerts a force on the moving charge.

How does a magnetic field function?

The same poles repel one another while opposite poles are attracted to one another. The north-seeking poles of the iron's atoms line up in the same direction when you rub it against a magnet. A magnetic field is produced by the force exerted by the aligned atoms.

The region surrounding a magnet where the effects of magnetism are felt is known as the magnetic field. To explain how the magnetic force is distributed in the area around and inside something magnetic in nature, we use the magnetic field as a tool.

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A 6-ft-tall man walks at the rate of 5 ft/sec toward a street light that is 16 ft above the ground. a) At what rate is the length of his shadow changing when he is 10 ft from the base of the light

Answers

a) The rate at which the length of his shadow changes is 1.5 ft/s.

Given, the height of a man = 6 feet

Height of light = 16 feet

Rate of walk by man, dx/dt = 5 feet per second.

By using the ratio of similar triangles,

y/6=x+y/16

The rate of change of shadow is calculated by differentiating length with respect to time.

16y=6x+6y

10y=6x

10 dy/dt = 6 dx/dt

dy/dt = 3/10 * 5

dy/dt = 3/2

dy/dt=1.5 ft/sec

What determines the length of a shadow?

The length of your shadow depends on how tall you are and where the sun or source of light behind you is in relation to the ground. The lower the angle of the sun the longer the length of the shadow. Also the taller you are the longer the shadow.

How will you increase the length of the shadow?

The closer an object is to the light source, the larger the shadow it casts. This is because an object closer to the source will block a larger area of the light, increasing its shadow size.

Therefore, the rate at which the length of his shadow changes is 1.5 ft/s.

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30. Determine the momentum of a system that consists of two objects. One object, mi, has a mass of 6 kg and a velocity of 13 m/s in the direction of the positive x-axis and a second object, mz, has a mass of 14 kg and a velocity 7 m/s in the direction of the negative x-axis.

Answers

The momentum of the system is -20 kg*m/s in the negative x-axis direction.

What is momentum?

Momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, meaning it has both magnitude and direction. The momentum of an object is equal to its mass multiplied by its velocity, or p = mv. The direction of the momentum is the same as the direction of the velocity.

The momentum of a system can be determined by summing the momenta of the individual objects in the system. The momentum of an object is equal to its mass multiplied by its velocity. The direction of the momentum is the same as the direction of the velocity.

For the first object, the momentum is:

p1 = mi * vi

p1 = 6 kg * 13 m/s

p1 = 78 kg*m/s (in positive x-axis direction)

For the second object, the momentum is:

p2 = mz * vz

p2 = 14 kg * -7 m/s

p2 = -98 kg*m/s (in negative x-axis direction)

To find the total momentum of the system, we add the momenta of the two objects:

p_total = p1 + p2

p_total = 78 kgm/s + (-98 kgm/s)

p_total = -20 kg*m/s (in negative x-axis direction)

So the momentum of the system is -20 kg*m/s in the negative x-axis direction.

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a spring of spring constant k is attached to a block of mass m. the spring moves the block through a displacement x. how can you calculate how much work the spring does on the block?

Answers

An endless spring A block with mass m is connected to a constant k. The block undergoes a displacement x as a result of the spring. then, by using[tex](K+U)_{i} =(K+U) _{f}[/tex], we can  determine how much effort the spring performs on the block

It is used to determine a spring's stability or instability and, as a result, what system it should be used in. It reworks Hooke's Law and is mathematically expressed as k = - F/x.

where k is the spring constant, F is the force applied over x, and x is the displacement generated by the spring in N/m. Fs = -kx, where F is the spring's restoring force, k is the spring constant, and x is the displacement, is the formula utilized by the Hooke's Law Calculator.

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A football is kicked straight up into the air; it hits the ground 5.0 s later.

Part A

What was the greatest height reached by the ball? Assume it is kicked from ground level.

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

Part B

With what speed did it leave the kicker's foot?

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

Answers

The greatest height reached by the ball is 15.876 m and the ball left the kicker's foot with the initial speed of 17.64 m/s.

Let's first calculate the time taken for the ball to get to the greatest height. This can be obtained as follow:

Time of flight (T) = 3.6 s

Time taken to reach the greatest height (t) =?

T = 2t

3.6 = 2 × t

Now divide both sides by 2

t = 3.6 / 2

t = 1.8 s

Time taken to reach the greatest height is 1.8 seconds.

Acceleration due to gravity (g) = 9.8 m/s²

Greatest height (h) =?

h = ½gt²

h = ½ × 9.8 × 1.8²

h = 15.876 m

The greatest height reached by the ball is 15.876 m

Greatest height (h) = 15.876 m

Acceleration due to gravity (g) = 9.8 m/s²

Final velocity (v) = 0 (at greatest height)

Initial velocity (u) =.?

v² = u² – 2gh (since the ball is in opposite direction of gravity)

0² = u² – (2 × 9.8 × 15.876)

0 = u² – 311.1696

After Collecting like terms, we'll get;

0 + 311.1696 = u²

311.1696 = u²

By taking the square root of both sides, we will get the initial velocity.

u = √311.1696

u = 17.64 m/s

hence the ball left the kicker's foot with an initial speed of 17.64 m/s.

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Viewed from a distance, how would a flashing red light appear as it fell into a black hole?
A. It would appear to flash more quickly.
B. Its flashes would appear bluer.
C. Its flashes would shift to the infrared part of the spectrum.

Answers

The most accurate answer is D. As the red light falls into a black hole, its flashes would become progressively dimmer.

What is distance?

Distance is a numerical measurement of how far apart two objects or points are. It can be measured in different units such as kilometers, miles, meters, or feet. Distance is an important concept in physics, mathematics, and many other scientific disciplines. It is also used in everyday life to determine how long it takes to travel to a certain destination. Distance can be measured in both two and three dimensions, and is a fundamental part of understanding the world around us.

This is because the light would be redshifted due to the immense gravitational force, causing it to move further and further away from the visible spectrum, and eventually become invisible. The other answers are incorrect because the light would not change color or flash more quickly, but instead, its intensity would diminish and the wavelength of the light would be extended.
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Complete questions as follows-
Viewed from a distance, how would a flashing red light appear as it fell into a black hole?
A. It would appear to flash more quickly.
B. Its flashes would appear bluer.
C. Its flashes would shift to the infrared part of the spectrum.
D. Its flashes would become progressively dimmer.

uniform circular motion worksheet physics 

Answers

The time of motion of the satellite is 1.65 hours.

The speed of the satellite from the center of the Earth is 26,945.35 km/h.

What is the time of motion of the satellite?

The time of motion of the satellite in hours is calculated as follows;

t = ( 99 min / 1 ) x ( 1 hour / 60 min )

t = 1.65 hours

The speed of the satellite from the center of the Earth in km/h is calculated as follows;

v = ( 2πr ) / ( t )

where;

r is the distance of the satellite from the center of the Earth

The position of the satellite above the surface of the Earth = 705 km

The radius of Earth = 6,371 km

The total distance of the satellite from the center of the Earth = 705 km + 6,371 km = 7,076 km

v = ( 2π x 7076 ) / ( 1.65 )

v = 26,945.35 km/h

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1. If the dielectric becomes damaged it can 'break down' like the air does when lightning strikes. What would happen to the charge on the plates?

2. Here are some statements about how an image is produced and processed in a digital camera.
A) Starting in one corner the charge on each square is moved off the CCD.
B) Light enters the camera.
C) That signal can be stored or sent to a computer or other device.
D) The charges on each square are converted into a digital signal.
E) When the light hits a square on the CCD charge is produced.

a. They are in the wrong order. Write the letters for the statements in the correct order.

b. Explain why there is a delay between taking one photograph with a digital camera and taking the next photograph.

Answers

Answer:

Explanation:

A) E) When the light hits a square on the CCD charge is produced

B) A) Starting in one corner the charge on each square is moved off the CCD

C) D) The charges on each square are converted into a digital signal

D) B) Light enters the camera

E) C) That signal can be stored or sent to a computer or other device

b. The delay between taking one photograph with a digital camera and taking the next photograph is due to the time it takes to capture the image and process it into a digital signal. This process includes the capturing of the light entering the camera, the conversion of the charges on each square of the CCD into a digital signal, and the storage or sending of the signal to a computer or other device.

Three 45 ohm lightbulbs and three 75 ohm lightbulbs are connected in series. (a) what is the total resistance of the circuit? (b) what is their resistance if all six are wired in parallel?

Answers

a) The total resistance of the circuit in which three 45 ohm lightbulbs and three 75 ohm light bulbs connected in series is 360 ohm.

b) The total resistance of the circuit if all six are wired in parallel is 28.57 ohm.

a) In order to find the series total resistance, we need to add all resistances,

Req = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ = 45 + 45 + 45 + 75 + 75 + 75 = 135+ 225 = 360 ohm

b) Now, since the resistances are in parallel, we need to use the expression below,

1/Req = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄ + 1/R₅ + 1/R₆

Putting in the values,

1/Req = 1/45 + 1/45 + 1/45 + 1/75 + 1/75 + 1/75

1/Req = 1/0.035

Req = 28.57 ohm

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