1 point
An object has 50 J of kinetic energy and 20 J of potential energy. What is
the total energy possessed by the object?
30 J
35 J
50 J
70 J

Answers

Answer 1

Answer:

30 j

Explanation:

I LOVE HELPING

Answer 2

The kinetic energy of an object is 50 J, and the potential energy is 20 J. The total energy of the object is 30J.

What is potential energy?In physics, potential energy is the energy that an object retains due to its position in relation to other objects, internal tensions, electric charge, or other elements.Potential energy is a type of stored energy that is determined by the interactions of various system components. When a spring is crushed or stretched, its potential energy increases. A steel ball has more potential energy if it is raised above the ground rather than falling to the ground.Potential energy, which is the latent energy in an object at rest, is one of the two types of energy. Kinetic energy, on the other hand, is the energy expressed by a moving object.

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Related Questions

Which of the following experiments demonstrates Newton's Third Law? Select two answers
a rocket goes forward by burning fuel behind it
A student jumps 2 feet by using his muscles to exert a force on the ground
Matter cannot be created or destroyed
A person claps because they enjoy Physical Science

Answers

1) Matter cannot be destroyed or created.
2) a rocket goes by burning fuel behind it.

Which scenario is an example of a scientific way of thinking ?

Answers

A example of a scientific way of thinking is making observations, forming questions, making hypotheses, doing an experiment, analyzing the data, and forming a conclusion.

is there gravity in water?

Answers

Gravity works the same way in water that it works in air or a vacuum -- but you have to consider the force of gravity on the water as well as on the object you put into it

A diffraction grating has 300 lines per mm. If light of wavelength 630 nm is sent through this grating, what is the highest order maximum that will appear? A diffraction grating has 300 lines per mm. If light of wavelength 630 nm is sent through this grating, what is the highest order maximum that will appear? 5 6 2 8 5.3A diffraction grating has 300 lines per mm. If light of wavelength 630 nm is sent through this grating, what is the highest order maximum that will appear? A diffraction grating has 300 lines per mm. If light of wavelength 630 nm is sent through this grating, what is the highest order maximum that will appear? 5 6 2 8 5.3

Answers

Answer:

The order of maximum is   [tex]n = 5[/tex]

Explanation:

From the question we are told that

  The  diffraction grating is  k  =  300 lines per mm  =  300000 lines per m

   The wavelength is  [tex]\lambda  =  630 \  nm  =  630 *10^{-9} \  m[/tex]

   Generally the condition for constructive interference is mathematically represented as

      [tex]dsin \theta = n  * \lambda[/tex]

Here n is the order maximum

d is the distance the grating which is mathematically represented as

    [tex]d =  \frac{1}{k}[/tex]

=>   [tex]d =  \frac{1}{300000}[/tex]

=>    [tex]d =  3.3*10^{-6}\  m [/tex]

So

   [tex]n  = \frac{dsin \theta}{ \lambda}[/tex]

at maximum  [tex]sin\theta  =  1[/tex]

     [tex]n  = \frac{d}{\lambda}[/tex]

=>   [tex]n  = \frac{3.3*10^{-6}}{630 *10^{-9}}[/tex]

=>   [tex]n = 5[/tex]

 

Think of a person standing still at the end of a diving board, getting ready to make a dive into a pool. When the diver is ready, the diver will make 3 small jumps on the diving board, and then dive into the water. Where is the amount of potential energy increasing? Where is the amount of potential energy decreasing and the amount of kinetic energy increasing? Where are the points of maximum kinetic energy? Where are the points of maximum potential energy?

Answers

Answer:

The amount of potential energy is increasing when they jump on the board. The amount of potential energy is decreasing and the amount of kinetic energy is increasing when they are falling towards the water. The point of maximum kinetic energy is right before they splash into the water. The point of maximum potential energy is when they jump the highest into the air.

Explanation:

The points of maximum potential energy when they jump highest into the air, their potential energy is at its highest.

What is  potential energy?

Potential energy develops in systems where the configuration, or relative position of the pieces, determines the amount of the forces they exert on one another. Potential energy directly proportional to height of object higher the object higher the potential energy with respect to same reference point.

When they jump onto the board, potential energy is building. When they are descending toward the sea, their potential energy is dwindling and their kinetic energy is rising. Just before they splash into the water is when they have the most kinetic energy. When they jump highest into the air, their potential energy is at its highest.

Potential energy is highest at its highest point of jump.

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What is a way to boost your self-esteem.
Worry about others opinions
Exhibit risky behaviors
Maintain a negative attiude
From close relationships
20 points

Answers

Answer:

I say...D!~

Explanation:

I think you mean form*

Hope it helps~ (Sorry if you get it wrong-)

~The Confuzzeled homan

the answer should be D.) :)!

Your friend has been hired to design the interior of a special executive express elevator for a new office building. This elevator has all the latest safety features and will stop with an acceleration of g/3 in the case of an emergency. The management would like a decorative lamp hanging from the unusually high ceiling of the elevator. He designs a lamp which has three sections which hang one directly below the other. Each section is attached to the previous one by a single thin wire, which also carries the electric current. The lamp is also attached to the ceiling by a single wire. Each section of the lamp weighs 7.0 N. Because the idea is to make each section appear that it is floating on air without support, he wants to use the thinnest wire possible. Unfortunately the thinner the wire, the weaker it is. Since he knows that you have taken a course in physics, he asks you to calculate the force on each wire in case of an emergency stop.

Required:
Calculate the force.

Answers

Answer:

Sorry, don't understand the question

Explanation:

A raging bull of mass 700 kg runs at 36 km/h .How much kinetic energy does it have ?

Answers

Answer:

Use equation for kinetic energy: Ek=mV²/2

m=700 kg

V=10m/s

Ek=700kg*100m²7s²/2

Ek=35000 J=35kJ

Explanation:

Hope this helps you

Do mark me as brainliest

35000 joules. Kinetic energy = Ek = mV^2/2. m=700 kg. V = 10 m/s. Ek= 700 kg*100 m^2 7s^2/2. Ek = 35000 J


For the following distance vs time graph

Answers

Answer:

3

5

4

Explanation:

x = (8=(9+9)

(9+9) = 4, 5, 3

Light travels fast and in a _______________.

straight line

compression wave

wavy line

blue line


{its for my sis shes stu!pd}

Answers

Answer:

Straight Line

Light travels in straight lines called rays. Light travels "at the speed of light." This speed is about 186,000 miles per second (670 million miles per hour), or about 300,000 kilometers per second.

Have an amazing day!!

Please rate and mark brainliest!!

What is the reactance of a 60.0- mH inductor when connected to an AC current source that has a frequency of 180 Hz

Answers

Answer:

67.9 Ω

Explanation:

L = 60 mH = 60 x 10⁻³ H = 0.060 H

f = 180 Hz, ω = 2πf = 1131 rad/s

reactance = ωL = 1131 x 0.060 = 67.9 Ω

it's raining in 60 degree and man is walking in an inclined plain of base angle 30 degree find angle with vertical at which the man must hold his umbrella to be safe

Answers

Isn’t it 90 degrees since 60 + 30 is 90 degrees?

What is the atomic number of this element?

Answers

The atomic number is the number of protons in the nucleus of an atom. The number of protons define the identity of an element (i.e., an element with 6 protons is a carbon


So I believe it’s 6 hope this helps if not reply back

Two students are discussing how the speed of the car compares to the speed of the truck when both vehicles are in front of the house. Student 1 says, "The distance traveled by the car and the truck is the same, and the time is the same, so they must have the same speed." Student 2 says, "I don’t see how that can be. The car catches up to the truck, so the car has to be going faster."

a. Which aspects of Student 1’s reasoning, if any, are correct? Support your answer in terms of relevant features of your graphs in part (a).
b. Which aspects of Student 2’s reasoning, if any, are correct? Support your answer in terms of relevant features of your graphs in part (a).
c. Derive an expression for the acceleration of the car. Express your answer in terms of D and vt
d. Determine the time at which the speed of the car is equal to the speed vt of the truck. Express your answer in terms of tD. Justify your answer.

Answers

Answer:

a) Student 1 is right in the way he calculates the speed cid d of the truck, since going at constant speed

b) Student 2 is right that for the car to reach the truck it must have some relationship,  

c)   t = √d/a

 

Explanation:

In this exercise you are asked to analyze the movement in a mention using kinematics.

a) Student 1 is right in the way he calculates the speed cid d of the truck, since going at constant speed he can use the equation

         v = d / t

b) Student 2 is right that for the car to reach the truck it must have some relationship, which is given by

        v = v₀ + a t

        x = v₀ t + ½ a t²

c)    let's use the equations

      v = d / t

       v = v₀ + at

      d / t = vo + at

If we can assume that the car starts from rest, so v₀ = 0

       d / t = a t

        t² = d / a

        t = √d / a

if the speed of the car is not zero the result is a little more complicated

      d = vo t + a t²

      at² + vo t - d = 0

let's solve the quadratic equation

      t = [-v₀ ± √ (v₀² + 4a d)] / 2a

Theweight ofof body is 420N .Calculate its mass​

Answers

Answer:

42.87

Explanation:

Google

OR

420/9.8 which equals 42.87.

A 5-kilogram bowling ball is traveling down a lane with a velocity of 40ms. What is the kinetic energy and momentum of the bowling ball

Answers

The Kinetic energy of the bowling ball is 4000 J while the momentum of the ball is 200 kg m/s

what is kinetic energy?

Kinetic energy, KE is the energy exerted by a body in motion. This is represented mathematically as half the product of mass, m and velocity, v squared.

Kinetic energy

KE =  1 / 2 m v^2

m = 5 kg

v = 40 m/s

KE = 0.5 * 5 *40 ^2

KE = 4000 J

Momentum, M

M = mass * velocity

M = 5 * 40

M = 200 kg m/s

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If the orbit of a rocket is a circle around the earth with a radius
= 8 x 106m, and the mass of the earth is 5.97 x 1024 kg while
that of the rocket is 0.5 x 106 kg, then what is the speed of the
rocket under uniform circular motion (in m/s, G = 6.67 * 10-11 N
(m/kg) ?)?

Answers

Speed of the rocket under uniform circular motion is 4.97 × [tex]10^7[/tex] m/s.

What is centrifugal force?

A fictitious force that moves in a circle and is directed away from the center of the circle is called centrifugal force. When measurements are taken in an inertial frame of reference, the force does not exist. It only becomes relevant when we switch from a ground/inertial reference frame to a rotating reference frame.

As the rocket is in uniform circular motion, the gravitational force due to earth and centrifugal force must be equal in magnitude.

The magnitude of gravitational force due to earth, [tex]F_G = \frac{G M m}{R^2}[/tex]

And, the magnitude of centrifugal force, [tex]F_C = \frac{mv^2}{R}[/tex]

Where,

G = universal gravitational constant =   6.67 * 10-11 N (m/kg)².

M = the mass of the earth = 5.97 x [tex]10^{24[/tex] Kg.

m =  the mass of the rocket = 0.5 x [tex]10^6[/tex]kg.

R = the orbit of the rocket = [tex]{8*10^6}[/tex]m.

For uniform circular motion,

[tex]\frac{G M m}{R^2}[/tex] = [tex]\frac{mv^2}{R}[/tex]

⇒ v² = [tex]\frac{GM}{R}[/tex]

⇒v² =[tex]\frac{6.67 * 10^{-11 } *5.97 x 10^{24 } }{8*10^6}[/tex]

⇒ v = 4.97 × [tex]10^7[/tex] m/s.

Hence, the speed of the rocket is 4.97 × [tex]10^7[/tex] m/s.

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What is the symbol that is used to indicate the fulcrum in a lever?

Answers

A triangle is the symbol used to indicate a fulcrum in a lever, a triangle has three sides and three vertices.

What is a fulcrum?

A fulcrum is a pivot that has a base and a point that serves as a balance for  a lever.

What is a lever?

Basically a lever is a simple machine that is a beam with two sides pivoted to fulcrum.

A lever has Load, Effort and the last part is fulcrum

Learn more about fulcrum here:

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How is the speed of an object related to the amount of
kinetic energy the object has?

Answers

Answer:

directly proportional to the square of its speed.

Explanation:

;)

pls tell the answer asap

Answers

The maximum force acts between B and C as the graph is steepest showing maximum deceleration

Which statement describes the influence of latitude on temperature?

Answers

The correct answers are: •Latitude determines the duration of daylight.
•Latitude creates polar and temperate zones.
•Latitude influences the movement of warm and cool air over land.

Latitude is defined as the distance of a place on the earth surface from the equator. So, from the poles to the Equator the amount of sunlight changes in (decreases from season to season). Different latitudes receive different amounts of sunlight, so higher latitudes receive less heat than lower latitude areas (nearer the equator). Also, the angle at which the sun's rays strike the earth's surface is dependent on latitude.

Latitudes are angles that range from zero degrees at the equator to 90 degrees North or South at the poles.

Temperature is inversely related to latitude. As latitude increases, the temperature falls, and vice versa.

Generally, around the world, it gets warmer towards the equator and cooler towards the poles.

a 3000 kg car accelerates uniformly from 15 m/s to 60 m/s in 5 seconds. determine the net force on the car during this time ​

Answers

Answer:

F = 2700 N

Explanation:

Given that,

Mass of a car, m = 3000 kg

Initial velocity, u = 15 m/s

Final velocity, v = 60 m/s

Time, t = 5 s

We need to find the net force on the car during this time ​. The net force on an object is given by the product of mass and acceleration. So,

F = ma

a is acceleration, a = (v-u)/t

[tex]F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{3000\times (60-15)}{5}\\\\F=27000\ N[/tex]

So, 27000 N is the net force on the car during this time .

a.
13. A planet orbiting the sun
Newton's 1st Law
b. Newton's 2nd Law
c. Newton's 3rd Law

Answers

Newtons first law of motion.

A small object with mass m, charge q, and initial speed v0 = 5.00 * 103 m>s is projected into a uniform electric field between two parallel metal plates of length 26.0 cm (Fig. P21.78). The electric field between the plates is directed downward and has magnitude E = 800 N>C. Assume that the field is zero outside the region between the plates. The separation between the plates is large enough for the object to pass between the plates without hitting the lower plate. After passing through the field region, the object is deflected downward a vertical distance d = 1.25 cm from its original direction of motion and reaches a collecting plate that is 56.0 cm from the edge of the parallel plates. Ignore gravity and air resistance. Calculate the object’s charge-to-mass ratio, q>m

Answers

Answer:

q/m = 2177.4 C/kg

Explanation:

We are given;

Initial speed v_o = 5 × 10³ m/s = 5000 m/s

Now, time of travel in electric field is given by;

t_1 = D_1/v_o

Also, deflection down is given by;

d_1 = ½at²

Now,we know that in electric field;

F = ma = qE

Thus, a = qE/m

So;

d_1 = ½ × (qE/m) × (D_1/v_o)²

Velocity gained is;

V_y = (a × t_1) = (qE/m) × (D_1/v_o)

Now, time of flight out of field is given by;

t_2 = D_2/v_o

The deflection due to this is;

d_2 = V_y × t_2

Thus, d_2 = (qE/m) × (D_1/v_o) × (D_2/v_o)

d_2 = (qE/m) × (D_1•D_2/(v_o)²)

Total deflection down is;

d = d_1 + d_2

d = [½ × (qE/m) × (D_1/v_o)²] + [(qE/m) × (D_1•D_2/(v_o)²)]

d = (qE/m•v_o²)[½(D_1)² + D_1•D_2]

Making q/m the subject, we have;

q/m = (d•v_o²)/[E((D_1²/2) + (D_1•D_2))]

We have;

E = 800 N/C

d = 1.25 cm = 0.0125 m

D_1 = 26.0 cm = 0.26 m

D_2 = 56 cm = 0.56 m

Thus;

q/m = (0.0125 × 5000²)/[800((0.26²/2) + (0.26 × 0.56))]

q/m = 312500/143.52

q/m = 2177.4 C/kg

The ratio of the charge to mass of the object will be equal to:

[tex]\dfrac{q}{m}=2177.4\ \frac{C}{kg}[/tex]

what is electric field?

The electric field is defined as the whenever an atom carries a charge whether positive or negative the their influence of force is spread around the charge at a particular distance this effect of force is called as the electric field.

We are given;

Initial speed  [tex]V_o[/tex] = 5 × 10³ m/s = 5000 m/s

Now, time of travel in electric field is given by;

[tex]t_1=\dfrac{D_1}{v_o}[/tex]

Also, deflection down is given by;

[tex]d_1=\dfrac{1}{2}at^2[/tex]

Now,we know that in electric field;

F = ma = qE

Thus,  [tex]a=\dfrac{qE}{m}[/tex]

So;

[tex]d_1=\dfrac{1}{2}\times(\dfrac{qE}{m})(\dfrac{D_1}{v_o})^2[/tex]

Velocity gained is;

[tex]V_y=(a\timest_1)=(\dfrac{qE}{m})\times (\dfrac{D_1}{v_o})[/tex]

Now, time of flight out of field is given by;

[tex]t_2=\dfrac{D_2}{v_o}[/tex]

The deflection due to this is;

[tex]d_2=V_y\times t_2[/tex]

Thus, [tex]d_2=(\dfrac{qE}{m}\times (\dfrac{D_1}{v_o})\times(\dfrac{D_2}{v_o})[/tex]

[tex]d_2=(\dfrac{qE}{m})\times (\dfrac{D_1\times D_2}{(v_o)^2}[/tex]

Total deflection down is;

[tex]d=d_1+d_2[/tex]

[tex]d=[\dfrac{1}{2}\times(\dfrac {qE}{m}) \times (\dfrac{D_1}{v_o^2})]+[(\dfrac{qE}{m})\times (\dfrac{D_1\times D_2}{v_o^2}})][/tex]

Making q/m the subject, we have;

[tex]\dfrac{q}{m}=\dfrac{(d\times v_o^2)}{[E(\dfrac{D_1^2}{2})+(D_1\times D_2))]}[/tex]

We have;

E = 800 N/C

d = 1.25 cm = 0.0125 m

D_1 = 26.0 cm = 0.26 m

D_2 = 56 cm = 0.56 m

Thus;

[tex]\dfrac{q}{m}=\dfrac{(0.0125\times 5000^2)}{[800((\dfrac{0.26^2}{2})+(0.26\times 0.56))]}[/tex]

[tex]\dfrac{q}{m}= 2177.4[/tex]

Hence the ratio of the charge to mass of the object will be equal to:

[tex]\dfrac{q}{m}=2177.4\ \frac{C}{kg}[/tex]

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A plastic rod of length d = 1.5 m lies along the x-axis with its midpoint at the origin. The rod carries a uniform linear charge density λ = 3.5 nC/m. The point P is located on the postive y-axis at a distance y0 = 15 cm from the origin. The z-axis points out of the screen. 25% Part (a) By symmetry the electric field at point P has no component in the _____________. 25% Part (b) Choose the correct expression for the y-component of the electric field at P due to a thin slice of the rod of thickness dx located at point x. 25% Part (c) Integrate your correct choice in part (b) over the length of the rod and choose the correct expression for the y-component of the electric field at point P. 25% Part (d) Calculate the magnitude of the electric field at point P, in newtons per coulomb.

Answers

Answer:

a)  The electric field at point P has no component in the x and z directions.

b) dEy = kλdxy₀ / (√( x² + y₀²))^3/2

c)Ey = = 2kλd / y₀( d² + 4y₀²))^1/2

d) Ey = 411.84 N/C

Explanation:

a)

from the uploaded image;

the electric field will only be in y-direction.

Therefore the electric field at P have no component in the  x and z directions.

b)

dEy = dEsin θ

dE = kdq / r²

from figure

sinθ = y₀ / √( x² + y₀²)

r = √( x² + y₀²)

dq = λdx

dEy = kdq sinθ / r²

dEy = kλdxy₀ / (√( x² + y₀²))^3/2

c)

the net electric field at p is ,

Ey = ∫^d/2_-d/2  kλdxy₀ / (√( x² + y₀²))^3/2

= kλy₀ ∫^d/2_-d/2  dx / (√( x² + y₀²))^3/2

= 2kλd / y₀( d² + 4y₀²))^1/2

d)

let y₀ = 15 × 10⁻²m,  λ = 3.5 nC/m , d = 1.5m

Ey = 2kλd / y₀( d² + 4y₀²))^1/2

Ey = 2(9×10⁹ N.m²/C²)(3.5×10⁻⁹m)(1.5m) / 0.15×(1.5)² + 4(0.15)²))^1/2

Ey = 411.84 N/C

A crate (100 kg) is in an elevator traveling upward and slowing down at 6 m/s2. Find the normal force exerted on the crate by the elevator. Assume g

Answers

Answer:

380 N

Explanation:

Forces: gravity mg (downward), Normal force N (upward)

Acceleration: Note velocity is up, but slowing down, so acceleration is opposite to velocity, or downward

Newton's 2nd law:

mg - N = ma

N = m(g - a) = 100(9.8 - 6) = 380 N

“Relative” is an important word. Block L of mass mL = 1.90 kg and block R of mass mR = 0.460 kg are held in place with a compressed spring between them. When the blocks are released, the spring sends them sliding across a frictionless floor. (The spring has negligible mass and falls to the floor after the blocks leave it.) (a) If the spring gives block L a release speed of 1.10 m/s relative to the floor, how far does block R travel in the next 0.740 s? (b) If, instead, the spring gives block L a release speed of 1.10 m/s relative to the velocity that the spring gives block R, how far does block R travel in the next 0.740 s?

Answers

Answer:m

R

ν

R

+m

L

ν

L

=0   ⇒    (0.500kg)ν

R

+(1.00kg)(−1.20m/s)=0

which yields ν

R

=2.40m/s . Thus , Δx=ν

R

t=(2.40m/s)(0.800s)=1.92m .

(b) Now we have m

R

ν

R

+m

L

R

−1.20m/s)=0 which yields

        ν

R

=

m

L

+m

R

(1.2m/s)m

L

=

1.00kg+0.500kg

(1.20m/s)(1.00kg)

=0.800m/s .

Consequently , Δx=ν

R

t=0.640m .

Explanation:

1.which of the following terms is the measure of the distance between two neighboring Crest or trough?
A.wavelength
B.amplitude
C.hertz
D.Frequency

2.What wave can travel space?
A.mechanical
B.transverse
C.longitude
D.elctromagnet

3.what is being transferred by a wave?
A.energy
B.matter
C.particles
D.light

4.what is the speed of a wave with a frequency of sound?
A.645 m/s
B.576 m/s
C.875 m/s
D.975 m/s

Paki Sagot po​

Answers

Answer:

A

D

A

Is all the information here?

If so than I do not know

The first 3 are correct though

Explanation:

The small piston of a hydraulic lift has a crosssectional area of 2.87 cm2 and the large piston 314 cm2 . What force must be applied to the small piston for the lift to raise a load of 2.4 kN

Answers

Answer:

P1 = P2      pressure is uniform

F1 / A1 = F2 / A2

F1 = F2 (A1 / A2) = 2,400 N * (2.87 / 314) = 21.9 N

A boat and a trailer are being pulled over an undulating road at a velocity v. The contour of the road is such that it can be approximated by a sine wave having a wavelength of l = 10 ft and an amplitude of Y = 0.5 in. The total static deflection of the springs and tires of the trailer due to the weight of the boat and trailer has been measured as 1.5 in. Assume that the damping inherent in the system is viscous and the damping ratio is 0.05. Determine: (a) The speed v at which the amplitude of the boat and the trailer will be a maximum; (b) The value of this maximum amplitude referred to in part (a); (c) The amplitude when the boat and trailer are traveling at the speed of 55 mph

Answers

Answer:

a) v = 25.54 ft/s

b) Xmax = 0.4180

c) Xmax = 0.0048 ft

Explanation:

a) determine the speed v at which the amplitude of the boat and the trailer will be a maximum;

to calculate the distance travelled

S = vt

given an expression of wavelength

l = vt

l = 2πv / ω

ω = 2πv / l

equation for counter of the road

y = Y sin ωt

= Y sin ( (2πv / l)t)

next we calculate the angular frequency

ω = √ ( k/m)

=  √ ( g / Sst )

= √( 32.2 / ( 1.5/12))

= 16.05 rad/s

Now we calculate the speed v at which amplitude of the boat will be maximum

ω = 2πv / l

16.05 = (2 × π × v ) / 10

160.5 = 2πv

v = 160.5 / 2π

v = 25.54 ft/s

b)

we calculate the maximum amplitude using the following expression;

X/Y =  [ √( 1 + ( 2Sr)²)] / [ √(( 1  - r²)² +  ( 2Sr)²))]

Xmax / (0.5/12) = [ √( 1 + ( 2×0.05×1)²)] / [ √(( 1  - 1²)² +  ( 2×0.05×r)²))]

Xmax / 0.0416 = 1.004987 / 0.1

Xmax 0.1 = 0.0418

Xmax = 0.0418 / 0.1

Xmax = 0.4180

c)

we convert speed of the boat from mph velocity m/s

v = 55 mph × 1.46667ft/s  / 1mph

v = 80.66 ft/s

next we calculate angular velocity

ω = 2πv / l

= 2π × 80.66 / 10

= 50.68 rad/s

next is the frequency ratio

r = 50.68 / 16.05

= 3.16

finally we find the amplitude of the boat

X/Y =  [ √( 1 + ( 2Sr)²)] / [ √(( 1  - r²)² +  ( 2Sr)²))]

Xmax / (0.5/12) = [ √( 1 + ( 2×0.05×3.16)²)] / [ √(( 1  - 3.16²)² +  ( 2×0.05×3.16)²))]

Xmax / 0.0416  = √1.0998 / √ ( 80.74 + 0.0998)

Xmax / 0.0416 = 1.0487 / 8.9910

Xmax 8.9910 = 0.0436

Xmax = 0.0436 / 8.9910

Xmax = 0.0048 ft

Other Questions
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