A cyclotron with a magnetic field of 0.36 t is designed to accelerate protons in a circle with a radius 0.56 m. what is the angular frequency of the proton? answer in units of rad/s.

Answers

Answer 1

The angular frequency of the proton which is cyclotron with a magnetic field of 0.36t is 4.31 x 10⁷ rad/s .

What is magnetic field ?

The electromagnetic force, one of the four fundamental forces of nature, is the origin of the magnetic force, which is produced by the movement of charges. Any two charge-containing objects travelling in the same direction are attracted to one another magnetically.

The electromagnetic force, one of the four basic forces of nature, produces the magnetic force, which is caused by the movement of charges. A magnetic attraction draws two charge-containing objects together when they are moving in the same direction.

to learn more about magnetic field go to -

https://brainly.com/question/7802337

#SPJ4


Related Questions

The force that always opposes the motion of an object is called _________.
inertia
acceleration
friction

Answers

The force that always opposes the motion of an object is called friction. Friction is the force that resists the motion of two surfaces that are in contact with each other.

What is force?

Force is an external influence that can cause an object to accelerate, decelerate, change direction, maintain its current state, or experience a combination of these effects. Forces can be either contact forces, such as friction, normal force, and applied force, or non-contact forces, such as gravity, magnetic force, and electrical force. The magnitude of a force is measured in terms of its strength, while the direction of a force is measured in terms of its direction. Force is an integral part of physics and is used to explain and predict a wide range of physical events. Force is a fundamental concept for understanding how the physical universe works.

It is caused by the interaction of the two surfaces as they interact with each other. Friction can be static, which is the force that resists the motion of two surfaces that are in contact with each other but not moving, or kinetic, which is the force that resists the motion of two surfaces that are in contact with each other and moving.

To learn more about force
https://brainly.com/question/12970081
#SPJ4

GM wanted to know what features were used the most in its new cars, so the company invited 10 people who owned GM cars to sit in a room with a moderator and answer questions. This is an example of

Answers

GM wanted to know what features were used the most in its new cars, so the company invited 10 people who owned GM cars to sit in a room with a moderator and answer questions. This is an example of a focus group.

A focus group is a qualitative research method that involves a small group of individuals who share their opinions, perceptions, and experiences on a particular topic under the guidance of a moderator. In this case, GM invited car owners to provide feedback on the features used the most in their cars. The focus group allows GM to gather valuable insights and understand the preferences and needs of their customers.

Know more about focus group here:

https://brainly.com/question/29546780

#SPJ11

Granules on the surface of the sun appear to be plasma boiling. This is caused by _________________ in the plasma.

Answers

The granules on the surface of the Sun appear to be plasma boiling because of convection processes which occurs within the solar plasma. Convection is the transfer of heat from the movement of a fluid, Here it is from the plasma within the Sun.

The interior region of sun is very hot causing the plasma to heat and rise the temperature towards the sun. As the plasma rises it causes  upwellings or convective cells which carries heat and energy from interior to the surface which results in boiling of granules.

The granular pattern seen on the Sun's surface is because of the rising plasma's magnetic and thermal fields. The darker regions within the granules are downdrafts, which are pockets of somewhat cooler plasma that are reserve in the interior protion of the plasma. The Sun's surface is constantly changing, and this dynamic convection process plays a crucial role in sustaining both its energy output and magnetic activity.

To know more about convection;

https://brainly.com/question/4138428

A 5-kg box is pushed with a horizontal force of 100 N across a floor. What power output is neede d to push the box a distance of 60 meters in 2 minutes? (A) 10 W (B) 25 W (C) 30 W (D) 50 W​

Answers

Answer:

(D) 50 W​

Explanation:

Given the following data;

Mass = 5 kg

Force = 100 N

Distance = 60 N

Time = 2 minutes

Conversion:

1 minute = 60 seconds

2 minutes = 60 * 2 = 120 seconds

To find the power output required to push the box;

First of all, we would determine the work done in pushing the box.

Work done = force * distance

Workdone = 100 * 60

Workdone = 6000 Joules

Next, we find power output;

Power = workdone/time

Power = 6000/120

Power = 50 Watts

A 2.0-mm-diameter glass sphere has a charge of 1.0 nC. What speed does an electron need to orbit the sphere 1.0 mm above the surface

Answers

The electron would need to attain a speed of at least \(2.813*10^7 m/s\)

Data;

diameter of sphere = 2.0mmcharge = 1.0 nC

The distance of the electron from the center of the sphere  = (1 + 1)mm = 2mm.

\(2mm = 2.0*10^-3m\)

Centrifugal Force and Coulomb's law

Using centrifugal force of attraction and coulomb's law, we can determine the speed which the electron needs.

\(\frac{mV^2}{R}=\frac{Kq_1q_2}{r^2}\\ K = \frac{1}{4\pi \epsilon } \\ V^2 = \frac{q_1R\\}{4\pi \epsilon \ m r} \\v = \sqrt{\frac{1.0*10^-^9*1.602*10^-^1^9}{4\pi \epsilon *9.1*10^-^3^1*2.0*10^_3} } \\\)

Solving the above, we would have

\(v = 2.813*10^7m/s\)

The electron would need to attain a speed of at least 2.813*10^7 m/s

Learn more on centrifugal and coulomb's law here;

https://brainly.com/question/24743340

https://brainly.com/question/10220774

what inductance (in mh) is needed with an 80 mu or micro ff capacitor to construct an lc circuit that oscillates with a frequency of 60 hz?

Answers

An inductance of approximately 0.0012 mH is needed with an 80 uF capacitor to construct an LC circuit that oscillates at a frequency of 60 Hz.

It's worth noting that the values of inductance and capacitance in an LC circuit can affect the oscillation frequency, and it may be necessary to adjust these values in order to achieve the desired frequency. Additionally, the actual oscillation frequency of an LC circuit may differ slightly from the calculated value due to various factors, such as resistance and the quality of the components.

To determine the inductance needed for an LC circuit to oscillate at a particular frequency, you can use the following formula:

Inductance (L) = 1 / (2 * π * f * C)

Where:

L is the inductance in henries (H)

pi is the mathematical constant pi (approx. 3.1416)

f is the desired oscillation frequency in hertz (Hz)

C is the capacitance in farads (F)

Using this formula, we can calculate the inductance needed for an LC circuit with an 80 microfarad (uF) capacitor to oscillate at a frequency of 60 Hz:

L = 1 / (2 * 3.1416 * 60 * 0.000080)

L = 1.2 H

This value is in henries (H). To convert to millihenries (mH), divide by 1000:

L = 1.2 / 1000

L = 0.0012 mH

Learn more about inductance, here https://brainly.com/question/29849736

#SPJ4

Television Advertising As Sales Manager for Montevideo Productions, Inc., you are planning to review the prices you charge clients for television advertisement development. You currently charge each client an hourly development fee of $2,900. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 11 contracts. This is down 5 contracts from the figure last year, when your company charged only $2,400. (a) Construct a linear demand equation giving the number of contracts a as a function of the hourly fee p Montevideo charges for development. 960) - (b) On average, Montevideo bills for 40 hours of production time on each contract. Give a formula for the total revenue obtained by charging $p per hour. R(D) - (c) The costs to Montevideo Productions are estimated as follows. Fixed costs: $140,000 per month Variable costs: $70,000 per contract Express Montevideo Productions' monthly cost as a function of the number of contracts. ca) - Express Montevideo Productions monthly cost as a function of the hourly production charge p. Cip) = (d) Express Montevideo Productions' monthly profit as a function of the hourly development fee p. Pp) - Find the price it should charge to maximize the profit (in dollars per hour). ps per hour

Answers

To find the hourly development fee (p) that maximizes the profit, you would need to analyze the profit function and determine the value of p that yields the maximum result.

The linear demand equation giving the number of contracts (a) as a function of the hourly fee (p) charged by Montevideo Productions can be represented as: a = m * p + b

Given that the demand is currently 11 contracts when the fee is $2,900 and it was 5 contracts higher at $2,400, we can find the values of m and b. Using the two data points:

(2900, 11) and (2400, 16)

m = (11 - 16) / (2900 - 2400) = -1/100

b = 16 - (2400 * (-1/100)) = 40

Therefore, the linear demand equation is:

a = (-1/100) * p + 40

(b) The formula for the total revenue (R) obtained by charging $p per hour and billing for 40 hours of production time on each contract is:

R = p * 40 * a

Substituting the demand equation, we get:

R = p * 40 * ((-1/100) * p + 40)

(c) The monthly cost (C) for Montevideo Productions can be expressed as a function of the number of contracts (a) as follows:

C = Fixed costs + (Variable costs per contract * a)

Given: Fixed costs = $140,000 per month

Variable costs per contract = $70,000

So, the monthly cost function is:

C(a) = $140,000 + ($70,000 * a)

(d) The monthly profit (P) for Montevideo Productions can be calculated by subtracting the monthly cost (C) from the total revenue (R):

P(p) = R - C(a)

Finally, to find the hourly development fee (p) that maximizes the profit, you would need to analyze the profit function and determine the value of p that yields the maximum result.

To learn more about profit:

https://brainly.com/question/32864864

#SPJ11

you're driving your pickup truck around a curve that has a radius of 18 m . part a how fast can you drive around this curve before a steel toolbox slides on the steel bed of the truck? express your answer with the appropriate units.

Answers

The maximum speed a pickup truck can drive around a curve with a radius of 18 m before a steel toolbox slides on the steel bed of the truck is 9.25 m/s.

The force that keeps an object in a circular motion is known as centripetal force. It is given by the formula:F = mv²/rwhere:

F = centripetal force (N)m = mass of object (kg)v = velocity of object (m/s)r = radius of the curve (m)

The force of friction is the centripetal force for the steel toolbox, which is given by:f = μ

Nwhere:f = force of friction (N)μ = coefficient of friction (0.40)N = normal force (N)N = mgwhere:N = normal force (N)m = mass of object (kg)g = acceleration due to gravity (9.81 m/s²)

Substitute N into the formula for force of friction to obtain:f = μmgAt maximum velocity (v), the centripetal force is equal to the force of friction, so:f = mv²/rrearranging the formula to solve for v²:v² = fr/m

Substitute the formulas for f and N:v² = (μmg)r/mSimplify by canceling out m on both sides of the equation:v² = μgrDivide both sides of the equation by μg:v²/μg = rSolve for v:v = √(rμg)where:r = 18 mμ = 0.40g = 9.81 m/s²v = √(18 m × 0.40 × 9.81 m/s²)v = 9.25 m/s

Therefore, the maximum speed a pickup truck can drive around a curve with a radius of 18 m before a steel toolbox slides on the steel bed of the truck is 9.25 m/s.

Summary: The formula for the centripetal force is given by F = mv²/r, and the formula for force of friction is given by f = μN, where N = mg. At maximum velocity (v), the centripetal force is equal to the force of friction. Therefore, we can substitute the formulas for f and N to obtain v = √(rμg), where r is the radius of the curve, μ is the coefficient of friction, and g is the acceleration due to gravity. When we substitute r = 18 m, μ = 0.40, and g = 9.81 m/s², we get v = 9.25 m/s.

Learn more about friction click here:

https://brainly.com/question/24338873

#SPJ11

What is the weight of a 200 kg mass?

Answers

Answer:

W 1920 N

Explanation:

200kg at a location where g=9.6m/s^2

A man stands on a stationary boat. He then jumps out of the boat onto the jetty.The boat moves away from the jetty as he jumps.
State the physics principle that is involved in the movement of the boat as the man jumps onto the jetty

Answers

The principle involved is the conservation of momentum, where the boat moves in the opposite direction to maintain total momentum zero.

The physics principle involved in the movement of the boat as the man jumps onto the jetty is the principle of conservation of momentum. According to this principle, the total momentum of an isolated system remains constant if no external forces act on it.

In this scenario, the boat and the man can be considered as an isolated system since there are no external forces acting on them. Initially, when the man is standing on the boat, the system is at rest, and the total momentum is zero.

When the man jumps off the boat and onto the jetty, he exerts a force on the boat in one direction. According to Newton's third law of motion, for every action, there is an equal and opposite reaction. As the man pushes off the boat, the boat experiences an equal and opposite force that propels it in the opposite direction.

Due to the conservation of momentum, the momentum gained by the boat in one direction is equal to the momentum lost by the man in the opposite direction. As a result, the boat moves away from the jetty, exhibiting a backward motion.

This principle can be mathematically expressed as:

Initial momentum of the system = Final momentum of the system

Since the initial momentum is zero, the final momentum of the system (including the man and the boat) must also be zero. The momentum gained by the boat ensures that the total momentum of the system remains conserved.

For more such information on: conservation of momentum

https://brainly.com/question/7538238

#SPJ8

A hog air balloon is moving upward with a verlocity of 3m.s .a person inside the balloon then throws a stkne upwards at 2m.s calculate the time taken for the stone to reach its highest point

Answers

It takes approximately 0.204 seconds for the stone to reach its highest point before it starts falling back down.

To calculate the time taken for the stone to reach its highest point, we can use the following equation:

Final velocity (vf) = Initial velocity (vi) + Acceleration (a) × Time (t)

In this case, the stone is thrown upwards, so its final velocity at the highest point is 0 m/s (it momentarily stops before falling back down). The initial velocity of the stone is 2 m/s, and the acceleration due to gravity is approximately -9.8 m/s² (taking the downward direction as negative).

0 m/s = 2 m/s - 9.8 m/s² × t

Solving for time (t), we can rearrange the equation as follows:

9.8 m/s² × t = 2 m/s

t = 2 m/s / 9.8 m/s²

t ≈ 0.204 seconds

Therefore, it takes approximately 0.204 seconds for the stone to reach its highest point before it starts falling back down.

To know more about velocity visit:

brainly.com/question/30559316

#SPJ11

Calculate the force acting
on a body whose linear momentum changes by 10 kg m/s
in 5 seconds.

Answers

Answer:2n

Explanation:10/5=2

Why do the interiors of saturn and jupiter contain large amounts of liquid metallic hydrogen?

Answers

The interiors of Saturn and Jupiter contain a large amount of large metallic hydrogen because liquid hydrogen transforms into liquid metallic hydrogen as one descends, reaching a depth of 12,000 kilometers as the radius of Jupiter is 71,000 kilometers the hydrogen is below the cloud layers.

Helium and hydrogen make up the majority of the atmospheres of Jupiter and Saturn. The hydrogen changes from a high-pressure gas to liquid hydrogen a few hundred kilometers below the cloud levels. It would take some fairly intense pressures to create this on Earth, but it is possible. It's a component of rocket fuel.

To know more about liquid-metallic-hydrogen go here:-

brainly.com/question/9540461

#SPJ4

A(n) 0.52 kg softball is pitched at a speed of 11 m/s. The batter hits it back directly at the pitcher at a speed of 29 m/s. The bat acts on the ball for 0.01 s. What is the magnitude of the impulse imparted by the bat to the ball?

Answers

The magnitude of the impulse imparted by the bat to the ball is 20.80 kg m/s.

To find the impulse imparted by the bat to the ball, we can use the impulse-momentum theorem, which states that the impulse applied to an object is equal to the change in momentum of the object.

The initial momentum of the ball is given by:
p₁ = m₁v₁ = (0.52 kg)(11 m/s) = 5.72 kg m/s (taking the direction of motion towards the batter as positive)

The final momentum of the ball is given by:
p₂ = m₁v₂ = (0.52 kg)(-29 m/s) = -15.08 kg m/s (taking the direction of motion towards the pitcher as positive)

The change in momentum is:
Δp = p₂ - p₁ = (-15.08 kg m/s) - (5.72 kg m/s) = -20.80 kg m/s

The impulse imparted by the bat to the ball is equal to the change in momentum, so:
J = Δp = -20.80 kg m/s

Note that the negative sign indicates that the impulse is in the opposite direction to the initial motion of the ball. The magnitude of the impulse is simply the absolute value of J, which is:
|J| = 20.80 kg m/s

Learn more about impulse here: https://brainly.com/question/30395939

#SPJ11

How are the molecules in a gas different from molecules in other states of matter?

Answers

Answer: The molecules in gases are different from other states of matter

Explanation:

The molecules in gases are different from other states of matter because unlike, for example, a solid, they move around freely and are much more spread apart. A gas can fill up any container, but once the container is unsealed, the gasses will immedietly be let out. Gases can be compressed much more easily than a solid or a liquid.

A 0.5-kg steel (c = 0.5 kj/kg-k) rivet cools from 800 k to 300 k upon being installed in a riveted building structure. the entropy change of this rivet is:_________

Answers

According to the given statement:

The entropy change of this rivet is  -0.245 kJ/K.

The correct option is B.

Why do you use the term entropy change?

Entropy change is a phenomenon that quantifies how disorder or randomness has changed in a thermodynamic process. It has to do with the heat or enthalpy conversion that occurs during work. More randomness indicates a high entropy in a thermodynamic system.

What alters the entropy?

A substance's entropy rises when it is divided into several components. Entropy is increased during the dissolution process because the solute become kept separate from each other when a solution is created. As temperature increases, entropy rises as well.

According to the given information :

When the TDS equation is simplified for this circumstance and integrated, the outcome is:

Temperature1 =  800 k

Temperature2 =  300 k

Mass =   0.5-kg steel

the formula of entropy change:

S2 - S1= mC

(T2 / T1) = 0.5 (0.5)

(300 / 800) = -0.245 kJ/K.

The entropy change of this rivet is  -0.245 kJ/K.

To know more about Entropy change visit:

https://brainly.com/question/4526346

#SPJ4

Select the characteristic(s) that match the properties of a converging lens. Choose all that apply.
a. It bends parallel rays of light so that they are focused at a point.
b. It is thinner at the middle than at the edges.
c. It is thicker in the middle than at the edges.
d. It bends parallel rays of light so that they spread further apart.

Answers

The characteristics that match the properties of a converging lens are:

a. It bends parallel rays of light so that they are focused at a point.

c. It is thicker in the middle than at the edges.

A converging lens is a type of lens that causes parallel rays of light to converge at a specific point, known as the focal point. This is the main characteristic of a converging lens and is represented by option a. The lens achieves this by refracting (bending) the light rays as they pass through it.

In terms of its shape, a converging lens is thicker in the middle and gradually tapers towards the edges. This curvature causes the lens to refract light in a way that brings the rays closer together, leading to convergence.

This characteristic is represented by option c. The thicker middle part of the lens allows for more significant refraction and bending of the light rays. Option b, which states that a converging lens is thinner at the middle than at the edges, is not correct.

This description corresponds to a diverging lens, which has the opposite effect of a converging lens, causing light rays to spread apart rather than converge. Option d, stating that a converging lens bends parallel rays of light so that they spread further apart, is also incorrect.

Again, this description matches the properties of a diverging lens, which causes light rays to diverge or spread apart.

In summary, a converging lens bends parallel rays of light to focus them at a point and has a thicker middle and thinner edges.

Learn more about converging lens here; brainly.com/question/15123066

#SPJ11

To determine the amplitude of a wave you need to know the

Answers

You need to know the height of the wave to the crest and the height of the wave to the resting position

which one of these values is the lowest temperature?32°F O 270 K O 0° Ċ O 273K

Answers

The temperature which is lowest among these given values will be 270K, which means option B is the right answer.

Temperature is defined as the degree of hotness or coldness of an object. It means that the amount of energy which is stored in it to increase its degree of hotness.

In the given problem, the values are given in different systems. So to determine that which one is smaller, first we convert them into Celsius, so that all the units are same.

The relation between Fahrenheit and celcius is given as follows:

Temperature in celsius = 5/9(temperature in Fahrenheit - 32)

∴ Temperature in celsius = 5/9(32 - 32) = 0 Celsius

The relation between Kelvin and Celsius is given as :

Temperature in Celsius = Temperature in Kelvin - 273.15

∴ Temperature in Celsius = 270 - 273.15 = -3.15 Celsius

273 K will be equal to 0 Celsius using above relation.

Hence all the values are equal to zero except 270 K which is negative, hence coldest.

Learn more about temperature at:

brainly.com/question/25677592

#SPJ4

A car is traveling at a speed of 50 m/sec when it suddenly accelerates at a rate of 5 m/sec2. How fast will the car be going (final velocity) if it maintains that acceleration for 30 seconds?

Answers

Answer:

200 ms-1

Explanation:

v = u+ at

v = 50+ 5×30

v = 200 ms-1

Energy can come from electricity, but it
can also come from water
false
true

Answers

Answer:

the answer is truth

Explanation:

Answer:

I think it might be true...

The velocity – time graph of an object moving along a straight line is shown in
fig. Find (a) the distance covered and (b) the displacement of the object in time
interval between t = 0 s and t = 10 s

Answers

(a) The distance travelled by the object is  100 m.

(b) The displacement of the object in time interval between t = 0 s and t = 10 s is 60 m.

What is the distance covered by the object?

(a) The distance travelled by the object is calculated from the total area of the curve.

total distance = area of triangle 1 + area of triangle 2 + area of rectangle.

total distance = (¹/₂ x base x height)₁ +  (¹/₂ x base x height)₂ + length x width

total distance = (¹/₂ x 6 s x 20 m/s) +  (¹/₂ (8 - 6) 20) + (10 - 0)(10 - 8)

total distance =  60 m + 20 m + 20 m

total distance = 100 m

(b) The displacement of the object in time interval between t = 0 s and t = 10 s is calculated as follows;

displacement = final position - initial position

displacement =  (¹/₂ x base x height)₁ +  (¹/₂ x base x height)₂ + length x width

displacement = (¹/₂ x 6 s x 20 m/s) +  (¹/₂ (8 - 6) (-20)) + (10 - 0)(10 - 8)

displacement = 60 m - 20 m + 20 m = 60 m

Learn more about displacement here: https://brainly.com/question/2109763

#SPJ1

The velocity time graph of an object moving along a straight line is shown in fig. Find (a) the distance

Calculate the capacitance of a system that stores 9.4 x 10-10 C of charge at
Q
50.0 V. Use C=
AV
O A. 1.9 x 10-11 F
OB. 4.7 x 10-8 F
O C. 5.3 x 1010 F
O D. 2.1 x 107 F

Answers

Answer:

A. \(1.88\times 10^{-11}\,F\).

Explanation:

By definition of Electric Capacitance, the capacitance of the system (\(C\)), in farads, is described by the following formula:

\(C = \frac{q}{V}\) (1)

Where:

\(q\) - Electric charge, in coulombs.

\(V\) - Voltage, in volts.

If we know that \(q = 9.4\times 10^{-10}\,C\) and \(V = 50\,V\), then the capacitance of the system is:

\(C = \frac{9.4\times 10^{-10}\,C}{50\,V}\)

\(C = 1.88\times 10^{-11}\,F\)

The correct answer is A.

a woman stands on a scale in a moving elevator. her mass is 66.0 kg, and the combined mass of the elevator and scale is an additional 784 kg. starting from rest, the elevator accelerates upward. during the acceleration, the hoisting cable applies a force of 9030 n. what does the scale read (in n) during the acceleration?

Answers

The scale will read 8,996 N during the acceleration.

The force applied to the woman by the scale is the sum of her weight and the weight of the elevator and scale (66.0 kg + 784 kg = 850.0 kg). This can be calculated using the equation

Force = Mass x Acceleration (F = ma).

The acceleration is given by the force applied (9030 N) divided by the total mass (850.0 kg), which gives a result of 10.6 m/s2.

We then multiply this acceleration by the mass of the woman (66.0 kg) to get the force applied to the woman by the scale, which is 696 N.

We then add this to the weight of the elevator and scale (784 kg) to get the total force that the scale reads, which is 8,996 N.

To know more about Force click on below link:

https://brainly.com/question/13191643#

#SPJ11

What is the final velocity of a lab cart that starts from rest and accelerates at a rate of
5m/s² across a 2 m long lab bench?

Answers

The final velocity of a lab cart that starts from rest and accelerates at a rate of 5m/s² across a 2 m long lab bench 4.72 m/s.

as in the given, we have  

initial velocity, u=0

final velocity, v=?

acceleration , a=5m/s²

distance, s=2m

now we will use kinematics equation to find final velocity

v^2-u^2=2as

v^2=2as

v^2=2×5×2

v^2=20

v=4.72m/s

Acceleration is the rate of change of velocity.Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.No matter how quickly you're moving, you can't possibly be accelerating if you're not also altering your direction and speed. As a result, even if a jet is traveling at a high rate of speed—in this case, 800 miles per hour—it experiences no acceleration since its velocity is constant.

To know more about  acceleration visit : https://brainly.com/question/3046924

#SPJ1

You are a lifeguard and spot a drowning child 30 meters along the shore and 60 meters from the shore to the child. You run along the shore and for a while and then jump into the water and swim from there directly to child. You can run at a rate of 5 meters per second and swim at a rate of 1 meter per second. How far along the shore should you run before jumping into the water in order to save the child? Round your answer to three decimal places.

Answers

Answer:

The lifeguard should run approximately 17.752 meters along the shore, before, jumping in the water

Explanation:

The given parameters are;

The rate at which the lifeguard runs = 5 m/s

The rate at which the lifeguard swims = 1 m/s

The horizontal distance of the child from the lifeguard = 30 meters along the shore

The vertical distance of the child from the lifeguard = 60 meters along the shore

Let x represent the distance the lifeguard runs

We have;

The distance the lifeguard swims = √((30 - x)² + 60²)

Time = Distance/Speed  

The time the lifeguard runs = x/5

The time the lifeguard swims = √((30 - x)² + 60²)/1

The total time = √((30 - x)² + 60²) + x/5

The minimum time is given by finding the derivative and equating the result to zero, as follows;

Using an online application, we have;

d(√((30 - x)² + 60²) + x/5)/dx = 1/5 - (30 - x)/(√((30 - x)² + 60²)) = 0

Which gives;

1/5 - (30 - x)/(√(x² - 60·x + 4500) = 0

(30 - x)/(√(x² - 60·x + 4500)) = 1/5

5×(30 - x) = √(x² - 60·x + 4500)

We square both sides to get;

(5×(30 - x))² = (x² - 60·x + 4500)

(5×(30 - x))² - (x² - 60·x + 4500) = 0

25·x² - 1500·x + 22500 - x² + 60·x - 4500 = 0

24·x² - 1440·x + 18000 = 0

Dividing n=by 24 gives;

24/24·x² - 1440/24·x + 18000/24 = 0

x² - 60·x + 750 = 0

By the quadratic formula, we have;

x = (60 ± √((-60)² - 4×1×750))/(2 × 1) =

Using an online application, we have;

x = (60 ± 10·√6)/(2)

x = 30 + 5·√6 or x = 30 - 5·√6

x ≈ 42.25 m and x ≈ 17.752 m

At x = 42.25

Time = √((30 - 42.247)² + 60²) + 42.247/5 ≈ 69.69 seconds

At x = 17.75

Time = √((30 - 17.752)² + 60²) + 17.752/5 ≈ 64.79 seconds

Therefore, the route with the shortest time is when the lifeguard runs approximately 17.752 meters (rounded to three decimal places) along the shore, before, diving in the water

Which type of wave is not reflected by the ionosphere?

Answers

Answer:

skip zone

Explanation:

Why is nuclear energy able to be used for practical purposes? the reactions are controlled to regulate energy output. the reactions are uncontrolled for maximum energy output. all of the products are fed back into the reaction to keep it going. all of the products are immediately removed to inhibit more reactions.

Answers

Nuclear energy is is used practically for many energy requirements because the reactions are controlled to regulate energy output

What is nuclear energy?

Nuclear energy is the energy reaelesed during nuclear relations.

Nuclear energy is a clean form of energy which is available in enormous amounts.

Nuclear energy is is used practically for many energy requirements because the reactions are controlled to regulate energy output.

Therefore, the control of nuclear reactions make the use if nuclear energy possible.

Learn more about nuclear reactions at: https://brainly.com/question/25387647

#SPJ4

Answer: A or the reactions are controlled to regulate energy output.

Explanation: did it on edge!

A tiger has a momentum of 1000 kg-m/s. If the tiger has a mass of 315 kg, what is the speed of the tiger?

Answers

Answer: Trust I been here before the answer is 24 speed

Explanation:

Say we have two objects. Object A and B are the same size and shape. However object B is much heavier than Object A. If i were to Put each of these objects in different containers with the same amount of water, which would displace more liquid and why? (They are both denser than water so they will both sink.)

Answers

Answer:

Two objects that are the same volume will displace the same amount of water even if they have different masses.

Other Questions
what is an example of an energy system to power a flashlight Calculate the temperature for which the minimum escape energy is 8 times the average kinetic energy of an oxygen molecule. How many molecules of water are required for the polymerization of a 22 monomer-long cellulose molecule assume that the number of babies born in a randomly selected day at a local hospital follows a poisson distribution with parameter . in a random sample of 4 days, there are (5, 0, 3, 2) babies born. let be the probability that 2 babies are born in a single day. find the maximum likelihood estimate of based on this sample. 25x2 36y 8 25, x, squared, minus, 36, y, start superscript, 8, end superscript We can factor the expression as (U+V)(U-V)(U+V)(UV)left parenthesis, U, plus, V, right parenthesis, left parenthesis, U, minus, V, right parenthesis where UUU and VVV are either constant integers or single-variable expressions. What are UUU and VVV? Suppose the upper surface of the plastic material is covered with a layer of liquid with an index of refraction of 1.20. What happens in this case Microbiology has taught us that lemon juice, or some other kind of acidic substance like vinegar, will keep certain sugary fruits like apples from turning brown through the oxidization process.(Culinary arts) PLEASE HELP ASAP!TrueFalse A diver running at 3.6 m/s dives out horizontally from the edge of a vertical cliff and reaches the water below 2.5 s later.how high was the cliff Identify whether each phrase is an expression, equation, or inequality. B. Using audit sampling, a subset of the population is selected for testing to derive generalisations about the population. Required: Determine FIVE (5) elements to be assessed during the sample selection. (5 marks ) Consider a horizontal plate that is 1.50 m wide and 4.49 m long and the average temperature of the exposed surface of the plate is 38C. Determine the heat transfer coefficient (h) from the surface of the plate by natural convection during a calm day when the ambient air temperature is 9C, and the Rayleigh number is 595 309.720 The air fluid properties are K = 0.030 W/mC Pr= 0.72 ladbou Forces the cause geologic change include...(select all that are correct)a.)erosionb.)natural selectionc.)volcanic activityd.)tectonic plate movemente.)windf.)meteorite impacts The quadratic function of y= ? The story of an hour mrs mallard coped with her husband death and found freedom? Simplify the following expression: 69 + 12 - 49 + 5 Please answer i will brainliest:DJeremy is training for a race.When he trains,He runs on a path that is 1.25 miles long.Last week,Jeremy ran on the path 5 times,plus an extra 1.37 miles.How many miles did Jeremy run on the path last weekA.6.255B.6.38C.7.62D.19.95This is Lesson 4.5 5th grade go math book LaShawn solved the equation below to the determine the solution.3 x minus 8 = negative x + 4 (x minus 2)How many solutions does LaShawns equation have? True/False: the memory requirements for a linked list are larger than the memory requirements for an array-based list. Directions: Complete each of the following.1. Create an arithmetic sequence.1. Write the first five terms of your arithmetic sequence.2. What is the common difference of the arithmetic sequence you created?2. Create an arithmetic sequence based on the fact that the third term of the sequence is 27.1. What are the first five terms of your sequence?2. What is the common difference of the arithmetic sequence you created?3. Create a growing pattern that is not an arithmetic sequence.1. Write the first five terms of your sequence.2. What is the pattern in your sequence?4. Create an arithmetic sequence in which each term is smaller than the one before it.1. Write the first five terms of your arithmetic sequence.2. What is the common difference of your arithmetic sequence?5. Create an algebraic expression in terms of n to represent the nth term in an arithmetic sequence.1. What is the algebraic expression you created?2. What are the first five terms in your sequence?3. What is the common difference in your sequence? What the fundamentals of the piano?