a sailboat sets out from the u.s. side of lake erie for a point on the canadian side, 90.0 km due north. the sailor, however, ends up 50.0 km due east of the starting point. (a) how far and (b) in what direction must the sailor now sail to reach the original destination?

Its value is 9.8 ms-2 when it is close to the earth's surface. Therefore, the acceleration due to gravity (g) is given by = GM/r2.Because kinematics equations are used when the acceleration of the object is constant.

Therefore, acceleration owing to gravity is the name given to the acceleration of falling objects in free fall.The kinematic equations can be used to analyze any falling object if friction and air resistance are minimal since the acceleration caused by gravity is constant.

Therefore, acceleration owing to gravity is the name given to the acceleration of falling objects in free fall.The kinematic equations can be used to analyze any falling object if friction and air resistance are minimal since the acceleration caused by gravity is constant.

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A automobile will have trouble while going through a curve when there is little friction between the car's tyres and the road during an ice storm and the banking of the road allow vehicles to move at 15 m/s.

The lack of friction will still cause the car to tend to slide towards the outside of the curve even though it is going more slowly. If the car slides off the road or into oncoming traffic, it might be very dangerous.

When the surface of a curving road is inclined towards the horizontal to generate the required centripetal force for a safe turn, the phenomenon known as "banking of roads" takes place.

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Answer:

0.89 m/s^2

Explanation:

Here we are given that,

As we know that in case of uniform circular motion , centripetal acceleration is given by,

[tex]\implies a_c =\dfrac{v^2}{r} \\[/tex]

And here ,

[tex]\implies v = 76km/h =\dfrac{5}{18}\times 76\ m/s \\[/tex]

[tex]\implies v = 21.1 \ m/s \\[/tex]

Also ,

[tex]\implies r =\dfrac{d}{2} \\[/tex]

[tex]\implies r = 0.5km =\boxed{500m} \\[/tex]

Now substitute the respective values,

[tex]\implies a_c = \dfrac{21.1\times 21.1 }{500} m/s^2 \\[/tex]

[tex]\implies\underline{\underline{ a_c = 0.89\ m/s^2}} \\[/tex]

and we are done!

An environmental hazard is a threat posed by natural or human-made conditions that may have a negative impact on the environment, human health or other living organisms.

One example of an environmental hazard is air pollution which can be caused by a range of factors including industrial emissions, vehicle exhaust, and wildfires. Air pollution can have a range of harmful effects on human health including respiratory problems, heart disease and cancer. It can also have negative impacts on wildlife, ecosystems and natural resources.

Other examples of environmental hazards may include toxic waste, climate change, deforestation & water pollution. These hazards may have a range of short and long-term effects on the environment and may require coordinated efforts from governments, individuals and organizations to address and mitigate their impact.

The answer is general because no context is provided.

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The power factor is now 0.6, which is an improvement over previous value (which would be lower than 0.6 due to the higher reactive power demand).

Capacitor of 8 kVAR is placed parallel with an electromagnet that draws 3 kW of active power and 4 kVAR of reactive power, resulting circuit becomes a combination of a capacitive and an inductive load.

Net reactive power = [tex]8 kVAR - 4 kVAR = 4 kVAR[/tex]

So, the resulting circuit will have a net reactive power of [tex]4 kVAR[/tex].

The power factor (cos) of the circuit can be calculated as ratio of active power to  apparent power:

cos = Active power / Apparent power

The apparent power can be calculated as:

Apparent power = [tex]sqrt(Active power^2 + Reactive power^2)[/tex]

Apparent power = [tex]sqrt(3^2 + 4^2) kVA = 5 kVA[/tex]

So, the power factor of the circuit can be calculated as:

[tex]cos = 3 kW / 5 kVA = 0.6[/tex]

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The ultrasonic transducer in a medical ultrasound imaging device is a device that converts electrical energy into mechanical (ultrasonic) energy and vice versa, oscillating back and forth 1 million times per second with a mass of 0.10 g.

The ultrasonic transducer is an essential component in medical ultrasound imaging devices as it produces high-frequency sound waves that are used to generate images of the inside of the body. The device works by sending sound waves into the body and then measuring the echoes that are reflected back from the internal organs and tissues.

This information is then used to create an image of the inside of the body on a screen. The transducer operates in simple harmonic motion (SHM) and has a frequency of 1.0 MHz, meaning it oscillates back and forth 1 million times per second. The thin disk-like structure of the transducer is designed to produce highly focused sound waves that can penetrate deep into the body while minimizing any damage to the surrounding tissues.

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The velocity of the object is 9 m/s.

We have to note that when we are talking about the momentum what we mean is the product of the mass and the velocity of the body and the momentum of the body before Collison is equal to the momentum of the body after collision.

This is the law of the conservation of linear momentum as we already know it.

We then know that;

(9 * 3) + (3 * 0) = (9 * 0) + (3 * v)

V is the velocity of the skater after the Collison.

v = 27/3

v = 9 m/s

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It takes the suitcase 2.49 seconds to go from point A to point C at a certain velocity.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in a specific direction. It is defined as the derivative of an object's position with respect to time. Mathematically, velocity is expressed as:

v = Δx / Δt

To determine the velocity of the suitcase at the point where it strikes the ground (point C), we can use the conservation of energy principle. The suitcase starts at rest at point A, so its initial potential energy is equal to its weight multiplied by its height above the ground:

PEi = mgh

PEi = 40 lbs * 20 ft = 800 ft-lb

At point C, all of the suitcase's potential energy has been converted into kinetic energy. The kinetic energy at point C is equal to one-half the mass of the suitcase multiplied by its velocity squared:

KEf = 1/2 * m * v²

where m is the mass of the suitcase and v is its velocity at point C.

We can equate the initial potential energy to the final kinetic energy and solve for the velocity:

800 ft-lb = 1/2 * 40 lbs * v²

v² = 800 ft-lb / (1/2 * 40 lbs) = 6400 ft²/lb

v = 80 ft/s

So, the velocity of the suitcase at point C is 80 ft/s.

To find the time it takes for the suitcase to go from point A to point C, we can use the kinematic equation for motion under constant acceleration:

v = vi + at

where v is the final velocity, vi is the initial velocity (0 ft/s for this problem), a is the acceleration (which is the acceleration due to gravity, g = 32.2 ft/s²), and t is the time.

Solving for t:

t = (v - vi) / a = (80 ft/s - 0 ft/s) / 32.2 ft/s² = 2.49 s

So, it takes the suitcase 2.49 seconds to go from point A to point C at a certain velocity.

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The maximum height travelled by the ball is 189.23 m.

The maximum height travelled by the ball is calculated by applying the following kinematic equation as shown below.

h = vt + ¹/₂gt²

where;

h = ( 64.1 m/s x 4.5 s )  -  ¹/₂ ( 9.8 m/s² ) ( 4.5 s )²

h = 189.23 m

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The wavelength of the radiation is 2.63 x 10^-6 m

The wavelength of the most intense electromagnetic radiation emitted from the surface of a star can be calculated using Wien's Law, which states that the wavelength of maximum emission is inversely proportional to the temperature of the star. The formula for Wien's Law is given by:

λ = b / T

where

λ_max is the wavelength of maximum emission,

T is the temperature in kelvins, and

b is Wien's constant, which is equal to 2.898 x 10^-3 m K.

Substituting the values for the surface temperature of Sirius and Wien's constant, we get:

λ = 2.898 x 10^-3 m K / 11,000 K

λ = 2.63 x 10^-6 m

So, the wavelength is 2.63 x 10^-6 m

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According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when kept at a constant volume.The molecules of a gas receive more energ

These instances of how temperature can change a confined gas's volume while maintaining a constant pressure are typical:The volume rises with rising temperature and falls with falling temperature.

Since internal energy was directly proportional to the temperature, an adiabatic compression raises the temperature of the an ideal gas.

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The rock went 34.22 metres, as indicated by the question that was given. Thus, this is the required treatment.

The source of an object's motion is altering, thus even if it moves in a circle at constant speed, it is still moving forward.

It is given that,

Mass of the rock, m = 39 g = 0.039 kg

Gravitational acceleration, a = 1.62 m/s2.

We need to find the distance traveled by the rock when it falls from rest in 6.5 seconds if the only force acting on it was the gravitational force due to the Moon. With the help of a second equation of motion, i.e.

x = u t + [tex]\frac{1}{2}[/tex] at²

x = 0 +  [tex]\frac{1}{2}[/tex] x 1.62ms²x (6.5s)²

x = 34.22 meters

or Distance, x = 34.22 meters

x =34.22 meters

Consequently, the rock travelled 73.10 metres. Hence, this is the required solution.

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Form the most generic linear combination of the nonhomogeneous term's family of functions, insert this expression into the provided nonhomogeneous differential equation, and solve for the linear combination's coefficients.

By locating a point that satisfies one of these parallel lines or curves, we can find the precise equation of the form y = f(x), which is the differential equation's specific solution. The general solution of a differential solution would be of the form y = f(x), which could be any of the parallel lines or curves.

The method of indeterminate coefficients in mathematics is a method for solving certain nonhomogeneous ordinary differential equations and recurrence relations.

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Answer:

see below

Explanation:

in SI unit J/s is watt . So here,

36100 J/s

= 36.1 * 10³ J/s

= 36.1 * 10³ Watts

= 36.1 kilowatts

so 36.1 kW of power is being used.

hope this helps.

(2.2 ) The resultant of the forces are 19 N downwards and 4 N to the right.

(2.3 ) The resultant of the forces are 125 N downwards and 22 N to the right.

The resultant force on the object is the sum of all the forces acting on the object in a particular direction.

for the first given forces,

sum of the vertical forces = 12 N + 50 N - 6 N - 75 N  = 19 N downwards

sum of horizontal forces = 9 N - 5 N = 4 N to the right

for the second given forces,

sum of the vertical forces = -75 N - 50 N = 125 N  downwards

sum of horizontal forces = 45 N - 23 N = 22 N to the right

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The complete question is below:

2.2 Forces of 9 N acting horizontally to the right and 5 N in the opposite direction; 12 N acting vertically upwards and 6 N vertically downwards. Forces of 75 N acting vertically downwards and 50 N vertically upwards;

2.3 Forces of 75N acting vertically downwards and 50N vertically downwards;45 N horizontally towards the right and 23N in the opposite direction . find the resultant of each forces

The resultant force subtracts the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

In physics, the resultant force is the net force acting on an object, which takes into account all the individual forces acting on the object. When multiple forces act on an object, they can either reinforce or oppose each other. The resultant force is the sum of all these individual forces, taking into account both their magnitudes and directions.

Mathematically, the resultant force can be found by using vector addition. Each force acting on an object can be represented as a vector with its magnitude and direction, and the resultant force is the vector sum of all these forces. If the resultant force is non-zero, it will cause the object to accelerate in the direction of the force.

The concept of the resultant force is important in many areas of physics, including mechanics, electromagnetism, and fluid dynamics. Understanding the resultant force is crucial in predicting and explaining the motion of objects, and it is a fundamental concept in the study of physics.

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Total energy of particle is 609.7644meV if its rest energy is 1672meV and mean lifetime is  8.2 ˣ 10⁻¹¹sec.

Rest Energy is a 1980 presentation craftsmanship piece made, established, and recorded by execution craftsman team Marina Abramović and Ulay in Amsterdam, the Netherlands.[1][2][3] Four minutes in length, Abramović has portrayed it as perhaps of the most troublesome piece she has at any point finished, saying -I was not in control.

In Rest Energy we really held a bolt on the heaviness of our bodies, and the bolt is pointed squarely into my heart. We had two little mouthpieces close to our souls, so we could hear our pulses. As our exhibition was advancing, pulses were turning out to be increasingly serious, and however it endured only four minutes and ten seconds, I'm telling you, for me it was for eternity. It was an exhibition about the total and complete trust.[4]

We know very well that rest energy is given by the relation

E=E₀ √(1-v²/c²)

where E₀=rest energy,v is the speed of particle and c is the velocity of light in vacuum and E is the total energy.

So,we have E₀=1672meV,c=3ˣ10⁸m/sec.

v=Total distance/total time

v=(2ˣ3.14ˣ24/1000) /8.2 ˣ 10⁻¹¹

=>v=8.38ˣ10⁸m/sec.

So,E=1672ˣ √1-(8.38)² /3²

=>E=1672× √(1-(0.866)

=>E=1672×0.364

=>E=609.764meV.

Hence,particle total energy is 609.764meV.

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Answer:

here

Explanation:

in torque the length dimension is measured perpendicularly to the direction of the force, and acts as a multiplier of the linear force. Torque is equivalent to force in rotary systems.

It would have the least kinetic energy at point A

Kinetic energy is the energy an object possesses as a result of its motion. It is the energy associated with the movement of an object and is proportional to the mass of the object and the square of its velocity. The formula for kinetic energy is given by:

KE = 0.5 * m * v^2

where m is the mass of the object and v is its velocity. Kinetic energy is a scalar quantity and is measured in joules (J) or other units of energy.

Since the motion commenced at the point A, that is the point of the least kinetic energy.

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The electrons must be accelerated to a speed of approximately 2.07 million meters per second to obtain a resolution of 0.19 nm.

The de Broglie wavelength of a particle is given by:

λ = h / (mv)

Where h is the Planck constant, m is the mass of the particle, and v is its velocity. To obtain a resolution of 0.19 nm, the de Broglie wavelength must be equal to or less than 0.19 nm.

Rearranging the equation above and solving for v, we get:

v = h / (mλ)

Given the mass of an electron (m = 9.10938356 x 10^-31 kg), and the Planck constant (h = 6.62607015 x 10^-34 Js), we can calculate the required velocity for a de Broglie wavelength of 0.19 nm (λ = 0.19 x 10^-9 m):

v = (6.62607015 x 10^-34) / (9.10938356 x 10^-31 x 0.19 x 10^-9)

v ≈ 2.07 x 10^6 m/s

So, the electrons must be accelerated to a speed of approximately 2.07 million meters per second to obtain a resolution of 0.19 nm.

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The threshold velocity (v_threshold) for creating Cherenkov light from a charged particle traveling through water (n=1.33) is  225000000 m/s.

It can be calculated using the formula:

v_threshold = c/n,

where c is the speed of light in a vacuum (approx. 299792458 m/s).

Therefore, v_threshold = 299792458 m/s / 1.33 = 225000000 m/s.

Cherenkov radiation is the emission of electromagnetic radiation when a charged particle travels through a dielectric medium at a velocity greater than the phase velocity of light in that medium.

The Cherenkov effect occurs because when a charged particle moves through a medium, it causes the electromagnetic field in the medium to oscillate.

If the velocity of the charged particle is greater than the phase velocity of light in the medium, the oscillating electromagnetic field creates a cone of radiation known as Cherenkov radiation.

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The child's torque on the heel at the nine o'clock position is equal to (30)(9.8)(10)sin90=2940 Nm.

The torque resulting from the upward force applied to the ball of the foot must be equal to the torque resulting from the force on the Achilles tendon. The force on the Achilles tendon times its lever arm equals the torque caused by the tendon.

Weight of child = 30kg

Radius = 10 meter

Mass of carriage = 80kg

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The required average acceleration of the particle during this 4.200 s interval is calculated to be 10.23 m/s² and in the opposite direction to the particle's initial velocity.

The speed of the particle is given as 16 m/s.

v₁ = 16 m/s

And t₁ = 0

The speed of the particle in the opposite direction is 27 m/s.

v₂ = - 27 m/s

The average acceleration at t₂ = 4.2 s is to be found out.

The expression to find average acceleration is,

a avg = [v(t₂) - v(t₁)]/(t₂ - t₁) = (-27 - 16)/(4.2 - 0) = 43/4.2 = -10.23 m/s²

Thus, the required average acceleration of the particle during this 4.200 s interval is 10.23 m/s² and in the opposite direction to the particle's initial velocity.

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The vehicle travels 126.7 meters while increasing its speed by 3.00 m/s2 from 10 m/s to 30 m/s.

Speed is a scalar variable that quantifies how quickly an object's position changes in a particular direction. It is a way to gauge how far you've come in a certain amount of time.

The following equation can be used to determine how far the car drove while accelerating:

d = v0 * t + 0.5 * a * t^2

where d is the distance traveled, v0 is the starting speed (10 m/s in this example), a is the acceleration (3.00 m/s2), and t is the amount of time that has passed.

In order to calculate the passing of time, we can apply the equation:

v = v0 + a * t

Considering that v = 30 m/s and v0 = 10 m/s, calculate t as follows:

30 = 10 + a * t

t = (30 - 10) / a = 20 / 3 = 6.67 s

Adding the values for v0, a, and t to the first equation yields the following results:

d = 10 * 6.67 + 0.5 * 3.00 * 6.67^2

   = 66.7 + 60 = 126.7 m

As a result, the vehicle travels 126.7 meters while increasing its speed by 3.00 m/s2 from 10 m/s to 30 m/s.

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The resistance of the wire will increase by a factor of 4 if the radius is reduced by a factor of 2.

The resistance of a wire depends on several factors, including its material, length, and cross-sectional area. According to Ohm's law, the resistance of a wire is given by the formula:

R = ρ * L / A

where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is its cross-sectional area.

If the radius of the wire is reduced by a factor of 2, then the cross-sectional area will be reduced by a factor of 4 (A = [tex]pi*r^2[/tex]). This means that the resistance of the wire will be 4 times larger:

R' = ρ * L / (A/4) = 4 * ρ * L / A = 4 * R

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If the strength of the electric field is e1 at a distance r1 from the axis of the rod,  R2 = 4r1 distance from the axis is the field strength e1/4.

Electric field strength = F / q

we will assume the rod has an infinite length

For an infinitely charged rod

E ∝ 1/ r

considering two electric fields E1 and E2 at two different locations as described in the question

E1/E2 = r1/r2 ----- ( 2 )

Calculate for r2 when E2 = E1/4

back to equation 2

E1 / (E1/4) = r1 / r2

∴ r2 = 4r1

Distance is a numerical or on occasion qualitative size of ways a long way aside from objects or points. In physics or ordinary utilization, the distance may additionally confer with a bodily duration or an estimation primarily based on different standards (e.g. "two counties over"). for the reason that spatial cognition is a wealthy supply of conceptual metaphors in human ideas, the term is likewise regularly used metaphorically to mean size of the quantity of difference between similar items (consisting of statistical distance among chance distributions or edit distance among strings of text) or a diploma of separation (as exemplified with the aid of distance between human beings in a social community).

Maximum such notions of distance, each bodily and metaphorical, are formalized in mathematics through the use of the belief of a metric area. In the social sciences, distance can consult with a qualitative size of separation, such as social distance or mental distance.

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Answer

heyyy ok its b

Explanation:

Answer:

165s

Explanation:

see attachment.

Hope this helps!