A boat travels 60 miles downstream in the same time as it takes it to travel 40 miles upstream. The boat's speed in still water is 20 miles per hour. Find the stream of the current.

Answers

Answer 1

The equation of the boat upstream is 20-s.

The equation downstream is 20+s.

Where s is the speed of the current.

Then, we know that the time spent is equal in both cases, and we also know that time equals distance divided by the speed. So, we express the following.

[tex]\frac{40}{20-s}=\frac{60}{20+s}[/tex]

Solve for s.

[tex]\begin{gathered} 40(20+s)=60(20-s) \\ 800+40s=1200-60s \\ 60s+40s=1200-800 \\ 100s=400 \\ s=4 \end{gathered}[/tex]

Therefore, the speed of the current is 4 miles per hour.


Related Questions

A. How many Coulombs are there in one fundamental/elementary charge?B. How many electrons are there in one coulomb of negative charge?

Answers

(A). The number of Coulombs in one fundamental charge of an electron is,

[tex]1e\text{ = 1.}6\times10^{-19}\text{ C}[/tex]

(B). The charge in terms of the number of electrons is,

[tex]q=ne[/tex]

where q is the net charge, e is the fundamental charge and n is the number of electrons,

For the net charge of q = 1 Coulomb, the number of electrons is,

[tex]\begin{gathered} 1\text{ C=n}\times1.6\times10^{-19}\text{ C} \\ n=\frac{1}{1.6\times10^{-19}} \\ n=0.625\times10^{19} \\ n=6.25\times10^{18}\text{ } \end{gathered}[/tex]

Thus, the number of electrons in the 1 Coulomb of charge is,

[tex]6.25\times10^{18}[/tex]

One coulomb (1 C) is equal to approximately 6.24 x 10 18 elementary charges. Thus, an elementary charge is approximately 1.60 x 10 -19 C.

The unit of electrical charge quantity in the International System of Units is the coulomb. Coulomb is the SI unit of electric charge which is equal to the amount of charge transported by a current of one ampere in one second. It can be also, a property of a matter due to which electrical and magnetic effects are produced. It is denoted by C. Mathematically, 1 Coulomb = 1 Ampere × 1 second.

To illustrate the magnitude of 1 Coulomb, an object would need an excess of 6.25 x 1018 electrons to have a total charge of -1 C. And of course, an object with a shortage of 6.25 x 1018 electrons would have a total charge of +1 C. The charge on a single electron is -1.6 x 10 -19 Coulomb.

Charge on an electron(e)=  1.6∗10^−19 C  approximately.

By quantization property of charge(Smallest unit is e),

Charge (Q) = 1C  where n-number of electrons.

Electron (e) = 1.6× 10^-19

A number of electrons (n) =?

Q= ne

1 C = n × 1.6×10^-19 C

n = 1/(1.6×10^-19)

Which gives, n=  6.25*10^18  electrons

To learn more about coulomb charge visit,

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a block sliding on the ground where uk= 0.193 experiences a 14.7N friction force. what is the mass of the block in kg

Answers

Answer:

F = ma

14.7N = m(0.193)

m = 76.3 kg

If a microwave is determined to use 840 W of power on a 120 V circuit, how many amperes does it need to run?

Answers

ANSWER:

7 amperes

STEP-BY-STEP EXPLANATION:

Given:

Power (P) = 840 W

Voltage (V) = 120 V

We can calculate the current value as follows:

[tex]\begin{gathered} I=\frac{P}{E} \\ \\ \text{ We replacing:} \\ \\ I=\frac{840}{120} \\ \\ I=7\text{ A} \end{gathered}[/tex]

Therefore, the number of amperes is 7

A tractor travels at a constant speed of 6m/s. Find the power supplied by the engine if it can supply a maximum force of 467 kN.

Answers

speed = v = 6m/s

Force = 467 kn = 467000N

Power = Work/ time

Work = Force x distance

Speed = distance / time

Isolating Distance:

Distance = Speed * time

P =[ Force * (speed * time ) ] / time

P = Force * speed

Replacing:

P = 467000 N * 6 m/s = 2,802,000 W

Calculate the answer to the correctnumber of significant digits.1.899+ 0.58

Answers

ANSWER

2.48

EXPLANATION

We have to add like we normally do with whole numbers and put the decimal point in the same place it is in each summand:

The significant digits start with the first digit different from zero, reading from left to right:

This number has 4 significant digits in total: 2, 4, 7 and 9

Note that the numbers added don't have the same number of decimal places. The first one has three decimal places while the second one has two decimal places. This means that we have to round the answer to the second decimal place - which is hte 3rd significant digit. SInce the 4th significant digit is more than 5, we have to add one to the third significant digit:

[tex]2.479\Rightarrow2.48[/tex]

Which statement is not true of the reactions on the Sun?A.They are fusion reactions.B.They occur between helium atoms.C.Fast-moving nuclei collide.D.Hydrogen atoms are reacted.

Answers

Answer and explanation:

A correct option is an option (B). Option b is not true of the reaction on the sun because the reactions do not happen in between helium atoms.

All other options (A), (C), and (D) are incorrect because, in sun, the nuclear fusion reaction takes place between hydrogen atoms. Due to the sun's gravitational force and high temperature, the nuclei of helium move vary fast.

Conclusion:

The correct option is option (B).

Solve using a system of linear equationsA motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? Rate of the boat in still water=( )mi/h Rate of the current=( )mi/h

Answers

Let's use the constant motion equation: d = v*t, to express the equation for each case. But first, let's find the speed.

[tex]v=\frac{d}{t}=\frac{108mi}{3hr}=36\cdot\frac{mi}{hr}[/tex]

The speed going upstream is 36 mi/hr.

[tex]v=\frac{108mi}{2hr}=54\cdot\frac{mi}{hr}[/tex]

The speed going downstream is 54 mi/hr.

Observe that the distance traveled is the same.

Once we have the speed for each case, we can form the following system of equations.

[tex]\begin{gathered} x-y=36 \\ x+y=54 \end{gathered}[/tex]

The first equation represents the difference between the motorboat speed in still water (x) and the rate of the current (y).

The second equation represents the addition between these two rates x and y. One equation represents the situation where the speeds are in opposite direction, and the other one represents when the

If frictional forces and air resistance were acting upon the falling ball in #1 would the kinetic energy of theball just prior to striking the ground be more, less, or equal to the value predicted in #1?

Answers

Given that the ball is falling in two different situations.

Kinetic energy is the energy that an object possesses due to its motion and it is proportional to the square of the velocity of the object.

The frictional force and the air resistance are the forces that will be opposing the motion of the ball. That is these forces act in the opposite direction of the motion of the ball thus reducing the net acceleration acting on the ball.

As the acceleration decreases the final velocity of the ball decreases.

Thus the kinetic energy of the ball just prior to striking the ground will be less than before.

Hello, is it possible to help me solve this question? -A 475-gram ball is traveling horizontally at 12.0 m/s to the left when it is suddenly struck horizontally by a bat, causing it to reverse direction and initially travel at 8.50 m/s to the right. If the bat produced an average force of 1275 N on the ball, for how long (in milliseconds) was it in contact with the ball

Answers

Change in momentum = ΔP

ΔP = F t

Where:

F= force

t = time

Pf - Pi = Ft

M vf - m vi = F t

m= mass = 475 g = 0.475 kg

t = M vf - M vi / F

t = M (vf-vi) / f

Replacing:

t = 0.475 ( 8.50 - (-12 ) )/ 1275 = 0.0076 s = 7.64 ms

Solve the inequality for x. Show each step of the solution.10x>9(2x-8)-20

Answers

Given,

[tex]10x>9(2x-8)-20[/tex]

On simplifying the above equation,

[tex]\begin{gathered} 10x>18x-72-20 \\ \Rightarrow10x>18x-92 \\ \Rightarrow10x-18x>-92 \\ \Rightarrow-8x>-92 \end{gathered}[/tex]

On further simplifying,

[tex]\begin{gathered} 8x>92 \\ \Rightarrow x>\frac{92}{8} \\ \Rightarrow x>11.5 \end{gathered}[/tex]

Thus on solving the given inequality, we get, x>11.5

Kinematics question. Please note I’ve never done kinematics before so lots and lots of explanation very necessary.

Answers

Given figure is Time -velocity graph that indicate acceleration .

Now, according to problem

1) A graph line is parallel to time axis i.e. velocity is not changing with passes of time , so acceleration (a) = 0.

Here,

acceleration (a)= 0

time (t)= 20 sec

starting speed (u)= 40 m /s

final speed (v)= 40m /s

distance covered( s)= ?

Now using formula for linear motion ,we get

[tex]\begin{gathered} s=ut+\text{ }\frac{1}{2}at^2; \\ s=\text{ 40}\times20+\text{ 0}\begin{cases}a={0} \\ t={20}\end{cases} \\ s=800m; \end{gathered}[/tex]

Answer is 800m

2) For graph line B---

Starting speed(u)= 25 m/s ( when time =0)

final speed (v) = 50 m/s (when time =20 s)

time (t)= 20 sec

acceleration (a)= ?

distance travelled (s)= ?

Now acceleration is given by

[tex]\begin{gathered} a=\frac{v-u}{t}; \\ a=\frac{50-25}{20}=\text{ }\frac{25}{20}=\text{ 1.25ms}^{-2} \end{gathered}[/tex]

Again distance travelled in 20 s is given by

[tex]\begin{gathered} s=ut\text{ +}\frac{1}{2}at^2; \\ s=\text{ 25}\times20+\frac{1}{2}\times1.25\times20^2; \\ s=500+250=750\text{ m} \end{gathered}[/tex]

Answer is a= 1.25m/s² and s= 750m

3) when t= 20 sec then distance travelled by A=800m and distance travelled by B= 750 m . Therefore A is ahead of B

4) distance travelled by car A in 40 sec is given by

[tex]\begin{gathered} s=ut\text{ +}\frac{1}{2}at^2 \\ s=\text{ 40}\times40+0\begin{cases}a={0} \\ u={40}\end{cases} \\ s=1600m \end{gathered}[/tex]

Now distance travelled by B is given by

[tex]undefined[/tex]

A crane used 136.65 watts of power to raise a 16.22 N object in 4.97 seconds. Through what vertical distance was the object displaced?

Answers

Given,

Power, P = 136.65 watts

Force, F = 16.22 N

Time, t = 4.97 seconds

The work done is calculated by the given formula,

[tex]W=F\times d[/tex]

Now, the formula of power is given by

[tex]\begin{gathered} \text{Power = }\frac{W\text{ork done}}{\text{Time}} \\ \text{P = }\frac{F\times d}{T} \\ d=\frac{P\times t}{F} \\ d=\frac{136.65\text{ W}\times4.97\text{ s}}{16.22\text{ N}} \end{gathered}[/tex]

Thus, the vertical distance is

[tex]d=41.87\text{ m}[/tex]

Find the equivalent resistance of thiscircuit.R₁www400 ΩIR₂600 ΩReq = [?] 2R3www500 Ω

Answers

We are given the following information.

Resistor: R₁ = 400 Ω

Resistor: R₂ = 600 Ω

Resistor: R₃ = 500 Ω

We are asked to find the equivalent resistance of the given circuit.

Notice that the resistors R₁ and R₂ are in parallel and this parallel combination is in series with resistor R₃.

First, let us find the parallel resistance of R₁ and R₂.

[tex]R_p=\frac{R_1\times R_2}{R_1+R_2}=\frac{400\times600}{400+600}=\frac{240000}{1000}=240\;\Omega[/tex]

Finally, let us find the series resistance of Rp and R₃.

[tex]\begin{gathered} R_{eq}=R_p+R_3 \\ R_{eq}=240+500 \\ R_{eq}=740\;\Omega \end{gathered}[/tex]

Therefore, the equivalent resistance of the given circuit is 740 Ω.

A 87 kg person sits at rest at the top of a 51m high amusement park ride. How much energy does the person have at this point

Answers

We will calculate potential energy, in this case, using the next formula

[tex]PE=\text{mgh}[/tex]

where m is the mass, g is the gravity and h is the height

in our case

m=87 kg

g=9.8 m/s^2

h=51m

we substitute

[tex]PE=87(9.8)(51)=43482.6J[/tex]

ANSWER

The energy is 43482.6J

Question 1: Assume that the pendulum of a grandfather clock acts as one of Planck'sresonators. If it carries away an energy of 8.1 x 10-15 eV in a one-quantumchange, what is the frequency of the pendulum? (Note that an energy this smallwould not be measurable. For this reason, we do not notice quantum effects in thelarge-scale world.)

Answers

Given:

Energy = 8.1 x 10⁻¹⁵ eV.

Let's find the frequency of the pendulum.

To find the frequency, apply the formula for the energy of a light quantum:

[tex]E=hf[/tex]

Where:

E is the energy

h is Planck's constant = 6.63 x 10⁻³⁴ m² kg/s

f is the frequency.

Where:

1 eV = 1.6 x 10⁻¹⁹ J.

Rewrite the formula for f and solve:

[tex]f=\frac{E}{h}[/tex]

Thus, we have:

[tex]f=\frac{8.1\times10^{-15}*(1.6\times10^{-19})}{6.63\times10^{-34}}[/tex]

Solving further:

[tex]\begin{gathered} f=\frac{8.1\times10^{-15}*(1.6\times10^{-19})}{6.63\times10^{^{-34}}} \\ \\ \\ f=1.95\text{ Hz.} \end{gathered}[/tex]

Therefore, the frequency of the pendulum is 1.95 Hz.

ANSWER:

1.95 Hz

In a smartphone, how many megabytes (MB) are there in thirty-one gigabytes (GB) of memory?

Answers

We know that for each Gb there are 1000 Mb, thus in 31 Gb there will be 31000 Mb.

A train car with a mass of 5 kg and speed of 5 m/s is traveling to the right. Another train car with a mass of 2 kg is standing still. After the collision, the 5 kg train car is stuck to the 2 kg train car, what is their combined Final Velocity?

Answers

From the Law of Conservation of Linear Momentum, we have:

[tex]m_1v_1+m_2v_2=m_1v_1^{\prime}+m_2v_2^{\prime}[/tex]

If the two particles have the same velocity after the collision, then v₁'=v₂'.

Let v be equal to the final velocity of the particles. Then:

[tex]\begin{gathered} m_1v_1+m_2v_2=m_1v+m_2v \\ \\ \Rightarrow m_1v_1+m_2v_2=(m_1+m_2)v \end{gathered}[/tex]

Since v is unknown, isolate it from the equation:

[tex]v=\frac{m_1v_1+m_2v_2}{m_1+m_2}[/tex]

Replace the data to find the value of v:

[tex]\begin{gathered} m_1=5kg \\ v_1=5\frac{m}{s} \\ \\ m_2=2kg \\ v_2=0 \\ \\ \Rightarrow v=\frac{(5kg)(5\frac{m}{s})+(2kg)(0)}{5kg+7kg}=\frac{25kg\frac{m}{s}}{12kg}=2.08333...\frac{m}{s} \end{gathered}[/tex]

Therefore, the combined final velocity of both train cars is approximately 2.1m/s.

A 1 kg mass has a kinetic energy of 1 Joule when its speed isA. 0.45 m/sB. 1.4 m/sC. 1 m/sD. 4.4 m/s

Answers

Kinetic energy = 1/2 x mass x velocity^2

Where:

Kinetic energy = 1 J

mass = 1 kg

Isolate v (speed)

KE = 1/2 m v^2

√(2KE/m) = v

v = √(2KE/m)

Replacing with the values given:

v = √(2*1/1)

v= √2 = 1.4 m/s

Answer: 1.4 m/s (B)

I have finished most of this question just need help on making sure it’s correct and the last 2

Answers

Given

m: mass

m = 50 kg

KE: kinetic energ

PEg: gravitational potential energy

v: speed

Procedure

Point A

KE = 0

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 100 m

PEg = 50000 J

v = 0 m/s

Point B

h = 60 m

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 60 m

PEg = 30000 J

KE = 20000 J

[tex]\begin{gathered} v=\sqrt[]{\frac{2\cdot KE}{m}} \\ v=\sqrt[]{\frac{2\cdot20000\text{ J}}{50\text{ kg}}} \\ v=\sqrt[]{800\text{ }} \\ v=28.28\text{ m/s} \end{gathered}[/tex]

Point C

h = 30 m

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 30 m

PEg = 15000 J

KE = 35000 J

[tex]\begin{gathered} v=\sqrt[]{\frac{2\cdot KE}{m}} \\ v=\sqrt[]{\frac{2\cdot35000\text{ J}}{50\operatorname{kg}}} \\ v=37.41\text{ m/s} \end{gathered}[/tex]

Point D

h = 60 m

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 60 m

PEg = 30000 J

KE = 20000 J

[tex]\begin{gathered} v=\sqrt[]{\frac{2\cdot KE}{m}} \\ v=\sqrt[]{\frac{2\cdot20000\text{ J}}{50\text{ kg}}} \\ v=\sqrt[]{800\text{ }} \\ v=28.28\text{ m/s} \end{gathered}[/tex]

Point E

h = 0

PEg = 50 kg * 10 m/s^2 * 0

PEg = 0 J

KE = 50000 J

[tex]\begin{gathered} v=\sqrt[]{\frac{2\cdot KE}{m}} \\ v=\sqrt[]{\frac{2\cdot50000\text{ J}}{50\text{ kg}}} \\ v=44.72\text{ m/s} \end{gathered}[/tex]

A jet plane has a maximum deceleration rate of -7.30 m/s/s. It touches down on a runway with a speed of 122 m/s. From the instant it touches the runway, what is the minimum time needed before it comes to rest??

Answers

The maximum time needed before the jet plane that has a maximum deceleration of -7.30 m/s² comes to rest is 16.71 seconds.

What is time?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

To calculate the maximum time needed for the jet to come to rest, we use the formula below.

Formula:

t = (v-u)/a........... Equation 1

Where:

t = Maximum time needed for the jet to come to restv = Final speedu = Initial speeda = Maximum deceleration of the jet

From the question,

Given:

v = 0 m/s (to rest)u = 122 m/sa = - 7.30 m/s²

Substitute these values into equation 1

t = (0-122)/(-7.3)t = -122/7.3t = 16.71 seconds

Hence, the maximum time needed is 16.71 seconds.

Learn more about time here: https://brainly.com/question/26046491

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Two positive charges of 10 C are separated by 12 meters. What is the force between the charges?

Answers

In order to calculate the force between the charges, we can use the formula below:

[tex]F=K\cdot\frac{q_1\cdot q_2}{d^2}[/tex]

Where F is the force (in Newtons), K is the Coulomb constant (K = 9 * 10^9), q1 and q2 are the charges (in Coulombs) and d is the distance between them (in meters).

So, for q1 = q2 = 10 C and d = 12 m, we have:

[tex]\begin{gathered} F=9\cdot10^9\cdot\frac{10\cdot10}{12^2} \\ F=\frac{900\cdot10^9}{144} \\ F=6.25\cdot10^9\text{ N} \end{gathered}[/tex]

Therefore the force between the charges is 6.25 * 10^9 N.

What common unit is used to measure sound intensity? Answer here

Answers

Answer:

Decibel (dB)

Explanation:

Sound intensity is the power carried by sound waves per unit area in a perpendicular direction to that area.

The unit of sound intensity is the decibel

A ball of mass 1.86 kilograms is attached to a cord 1.29 meters long and swung in a vertical circle at a constant speed of 5.27 meters per second. What is the centripetal force acting on the ball? Include units in your answer. What is the tension in the cord when the ball is at the bottom of its path? Include units in your answer. What is the tension in the cord when the ball is at the top of its path? Include units in your answer. All answers must be in 3 significant digits.

Answers

[tex]\begin{gathered} centripetal\text{ force= 40.044 Newtons} \\ T_{bottom}=58.291\text{ Newtons} \\ T_{\text{top}}=21.79\text{ Newtons} \end{gathered}[/tex]

Explanation

Step 1

Draw

so

a)centripetal force:

the centripetal force is given by.

[tex]\begin{gathered} F=ma \\ F=m\frac{v^2}{r} \\ \text{where } \\ F_{C\text{ }}\text{ is the centripetal force} \\ m\text{ is the mass } \\ v\text{ is the velocty } \\ r\text{ is the radius} \end{gathered}[/tex]

now, replace

[tex]\begin{gathered} F=m\frac{v^2}{r} \\ F=1.86\text{ kg }\frac{(\text{ 5.27 }\frac{m}{s})^2}{1.29\text{ m}} \\ F=40.044\text{ Newtons} \end{gathered}[/tex]

so, the centripetal force is 40.0446 Newtons

b) What is the tension in the cord when the ball is at the bottom of its path?

to find the tension in bottom, we need to add the weigth of the ball,so

[tex]\begin{gathered} \text{weigth}=\text{ mass}\cdot accelofgravity \\ w=mg \end{gathered}[/tex]

hence, the tension would be

[tex]\begin{gathered} T_{bottom}=m\frac{v^2}{r}+mg \\ \end{gathered}[/tex]

replace

[tex]\begin{gathered} T_{bottom}=m\frac{v^2}{r}+mg \\ T_{bottom}=40.044\text{ N+(1.86 kg}\cdot9.81\text{ }\frac{\text{m}}{s^2}) \\ T_{bottom}=40.044\text{ N+18.2466 N} \\ T_{bottom}=58.291\text{ N} \end{gathered}[/tex]

c)What is the tension in the cord when the ball is at the top of its path?

to find the tension in the top we need to subtract the weigth, so

[tex]\begin{gathered} T_{\text{top}}=m\frac{v^2}{r}-mg \\ replace \\ T_{\text{top}}=40.044\text{ N-18.2466 N} \\ T_{\text{top}}=21.79\text{ Newtons} \end{gathered}[/tex]

I hope this helps you

How high should you be if you want to drop a tennis ball and have it hit the ground with a velocity of -25.0 mi/hr?

Answers

Data: Final velocity = 11.176m/s (or 25 mi/hr)

Firstly, we need to replace our values on the third given equation. It is convenient to use all the values on their SI units.

[tex]11.176^2=0^2-2*9.81*\Delta x\Rightarrow\Delta x=\frac{11.176^2}{-2*9.81}=-6.366m[/tex]

Thus, the ball would need to be dropped from a height of 6.366m, or 20.89ft

A train accelerates uniformly from rest to a velocity of 40 m s^-1, in 5 seconds.a)Find the acceleration of the train during the 5 seconds.b) Find the distance travelled by the train during the 5 seconds.

Answers

Answer:

a) 8 m/s²

b) 100 m

Explanation:

The acceleration of the train can be calculated as

[tex]a=\frac{v_f-v_i}{t}[/tex]

Where vf is the final velocity, vi is the initial velocity, and t is the time. Replacing vf = 10 m/s, vi = 0 m/s, and t = 5 s, we get:

[tex]a=\frac{40\text{ m/s - 0 m/s}}{5\text{ s}}=\frac{40\text{ m/s}}{5\text{ s}}=8\text{ m/s}^2[/tex]

Then, the distance traveled can be calculated using the following equation

[tex]x=v_it+\frac{1}{2}at^2[/tex]

Replacing vi = 0 m/s, t = 5 s, and a = 8 m/s², we get

[tex]\begin{gathered} x=(0\text{ m/s\rparen\lparen5 s\rparen + }\frac{1}{2}(\text{ 8 m/s}^2)(5\text{ s\rparen}^2 \\ x=0\text{ m + }\frac{1}{2}(8\text{ m/s}^2)(25\text{ s\rparen} \\ x=0\text{ m+100 m} \\ x=100\text{ m} \end{gathered}[/tex]

Therefore, the distance traveled by train was 100 m.

Calculate the mass of an object with a weight of 467 N.

Answers

We will have that the mass of the object is:

[tex]\begin{gathered} m=\frac{467N}{9.8m/s^2}\Rightarrow m=\frac{2335}{49}kg \\ \\ \Rightarrow m\approx47.65kg \end{gathered}[/tex]

So, the mass of the object is 2335/49 kg, that is approximately 47.65 kg.

If your favorite radio station is on the FM Dial at100 MHz (Mega Hertz) Calculate the wave length for this Radio station. Hint use the equation c = Lf, Where L is the wavelength and c is given at the top of the exam.

Answers

In order to calculate the wavelength, let's use the given formula, using c = 3 * 10^8 m/s (speed of light in vacuum) and f = 100*10^6 Hz:

[tex]\begin{gathered} 3\cdot10^8=L\cdot100\cdot10^6\\ \\ L=\frac{3\cdot10^8}{100\cdot10^6}=\frac{3\cdot10^8}{1\cdot10^8}=3\text{ m} \end{gathered}[/tex]

Therefore the wavelength is 3 meters.

lc. A student makes a claim that states the first hill of a roller coaster is always the tallest(Point A) provided there is no mechanical assistance at any point after Point A on the track.Do you accept or reject her claim? Explain your answer. (2 points)

Answers

We accept the claim. This comes from the fact that if there is no mechanical assistance after point A (that is the tallest) then we make sure that the potential energy converts in kinetic energy and that way we make sure that the rollercoaester reaches all the other hills. If the tallest point is not the first one and there's no mechanical assitances then the rollercoester won't reach the hills that are taller than the first one (the kinetic energy won't be enough to reach it).

When an arrow is released from its bow, its energy is transformed from potential energy to kinetic energy. Determine if the statement is correct.

Answers

Let's determine if the statement ''When an arrow is released from its bow, its energy is transformed from potential energy to kinetic energy'' is correct.

Let's first define kinetic and potential energies.

Potential energy is the energy stored in an object due to its position which depends on the relative position of various parts of the system.

Kinetic energy is the energy possesed by an object in motion.

Therefore, before the arrow is released from the bow, it is at rest and the energy is stored.

Hence, it posssess potential energy.

When the arrow is now released from the bow, it is now in motion. Since it is now in motion, the potential energy is now transformed to kinetic energy.

Therefore, the statement ''When an arrow is released from its bow, its energy is transformed from potential energy to kinetic energy'' is correct.

Which law of thermodynamics states that absolute zero cannot be reached? Also a hot cup of tea absorbs thermal energy from a cold room? True false

Answers

The third law of thermodynamics states that the absolute zero-temperature 0 K cannot be reached by a finite number of steps.

Thus, the answer is the third law of thermodynamics.

Also, a hot cup of tea absorbs thermal energy from a cold room. The given statement is false.

Thus, the given statement is False.

Other Questions
f(x) = -4x 7 find the equation for the inverse function Every month Pablo earns $40 for walking his neighbors dog after school how much does he earn from his job in one year? Joanie believes that you cannot use cross products to solve the proportion 50 / 3 equals 75 over x 4x she says that if you multiply both sides of the equation by X you get 50 x / 3 equals 75 then if you multiply both sides of the equation by 3 you get 50 x equals 75 which is a different equation then you would get if you cross multiply what mistake did Yuri make in her reasoning? the author believes that the basque are a distinct group of people.Does the author provide suffcient evidence to support this viewpoint.Is the evidence relevant or does he include unrelated details? The function of a circle is ysquared +x?=r? where r is the radius (any number). Make a circle with a radius of 16. Where does the circle intersect the X and Y axis? What is the relationship between where the circle intersects the axes and the radius (16)? IThe function of a circle is y?+x?=r? where r is the radius (any number). Make a circle with a radius of 16. Where does the circle intersect the X and Y axis? What is the relationship between where the circle intersects the axes and the radius (16)? When designing a set which of the following is not necessary?a. reading the scriptb. knowing the dimensions of the stagec. discussing your design with the directord. knowing who will be cast in the play You are going to write a speech to influence or change the way a person thinks, feels or behaves(a persuasive speech). You must choose a topic from the list of topics attached. It should be at least three paragraphs long. Please answer, this is my 7th time posting this here50points!!! Analyze Documents E and F. Why were many Creoles unwilling to support anti-Spanish rebellion from non-Europeans "coloured people" living in Latin America (such as the Indians, the mestizos, the mulattos, or the African slaves)?AWithout the Spanish monarchy to keep law and order, the Creoles anticipated potential uprising from their servants. Therefore, they limited the political freedom of Non-European servants in order to maintain their social status.BThey did not wish to associate themselves with Father Hidalgo and the colored protesters in Mexico in case they lost the rebellion.CThey opposed the Non-Europeans' right to rebel because they fully supported the Spanish monarchy.DThey could not financially support the colored people in their military campaign against the Spanish. A garden that is 10/3 of an acre is to be divided into 5 equal-size areas. What is the size of each area? what is the greatest mass of groceries that can be lifted safely with this bag given that the bag is raised with an acceleration of 1.80 m/s^2 which refers to all living things that live together in a stable community? a. biosphereb. ecosystemc. habitatd. population help me with this question please Does the coordinate (-2,5) land on the linear equation y = 2x + 9 ?yesnomaybe Perform the following division and write the quotient in trigonometric form. Write the magnitude inround it to two decimal places if necessary.- 8i4 + 5i Which of the following mathematical properties is described by the statement, whatever is done on one side of the equation must also be done on the other side of the equation? Identity Property of AdditionAssociative PropertyCommunitive PropertyProperty of Equalitytoday guys please A dairy farmer wants to mix a 75% protein supplement and a standard 25% protein ration to make 1500 pounds of a high grade 45%protein ration. How manypounds of each should be use! 1) Frank walks to school 35% of the time. If there are 180 days in a school year, how many days did he walk to school? How does Bilbos ancestry influence his personality? Specifically, how do the two sides of his family contribute to Bilbos duality? Cite evidence from the text to support your answer. If Charlies Chocolate Fudge costs $1.95 perpound, how many pounds can you buy for $10.00?Set up a proportion.Make sure that the units match going across.Cross multiply to solve,X =_____ pounds for $10. Will mark As Brainliest pls answer the 5 questions