A rope is held tightly and shook until the standing wave pattern shown in the diagram below is established within the rope. The length of the rope in the
diagram is 3.27 m. The speed at which waves move along the rope is 2.62 m/s. Determine the frequency of the standing wave pattern.
L = 3.27 m
Hz
1 2
3

Explanation:

We can use the formula for the speed of waves on a string:

v = sqrt(T/μ)

where v is the speed of the wave, T is the tension in the string, and μ is the linear mass density (mass per unit length) of the string.

Let's denote the tension in both strings by T. Since the pulses must reach the ends of both strings simultaneously, we must have:

L1/v1 = L2/v2

where L1 and L2 are the lengths of the strings, v1 is the speed of the wave on string 1, and v2 is the speed of the wave on string 2.

Using the formula above and solving for T, we can eliminate T from this equation to get:

sqrt(μ1/ T)/ L1 = sqrt(μ2/T)/ L2

Squaring both sides and rearranging, we obtain:

L2/L1 = sqrt(μ2/μ1)

Substituting the given values for μ1 and μ2, we get:

L2/L1 = sqrt(3.30/2.60) = 1.126

Solving for one of the lengths, say L1, in terms of the other, we get:

L1 = L2/1.126

Now we need to find the values of L1 and L2 that satisfy the condition that both pulses reach the ends of the strings simultaneously. To do this, we can use the fact that the time it takes for a wave to travel a distance L on a string is given by:

t = L/v

where v is the speed of the wave on the string.

Therefore, if the pulses are to arrive at the ends of the strings simultaneously, we must have:

L1/v1 + L2/v2 = 2L1/v1

Simplifying this equation using the relation L1 = L2/1.126 and the formula for v, we get:

sqrt(T/μ1)L2/1.126/2.60 + sqrt(T/μ2)L2/3.30 = 2L2/1.126sqrt(T/μ1)

Simplifying further and eliminating T, we obtain:

L2 = (2.60/3.30)^2(1.126) L1

Substituting the expression for L1 in terms of L2 that we found earlier, we get:

L2 = (2.60/3.30)^2(1.126) L2/1.126

Solving for L2, we find:

L2 = 2.196 L1

Finally, using the relation L1 = L2/1.126, we get:

L1 = 1.91 m

L2 = 4.20 m

Therefore, the length of string 1 should be 1.91 m and the length of string 2 should be 4.20 m in order for both pulses to reach the ends of the strings simultaneously.

Answer:

D

Explanation:

Cells are the smallest unit of organizaiton, followed by tissues, organs, organ systems, and then organisms themselves.

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 30 × 2.4

We have the final answer as

Hope this helps you

On one cookie containing 50 calories, you could potentially go approximately 298 meters

Given that one food calorie is equivalent to 4184 joules, we can calculate the total energy in joules contained in the 50 calorie cookie:

50 food calories * 4184 J/calorie = 209,200 joules

Assuming an average efficiency of around 25% (meaning 25% of the energy is effectively used for movement), and a body weight of 70 kilograms, we can use a rough estimation that it takes about 1 joule of energy to move 0.4 meters (based on the energy cost of walking).

Distance = (Energy obtained from the cookie * Efficiency) / (Energy cost per meter * Body weight)

Distance = (209,200 J * 0.25) / (1 J/m * 0.4 m/kg * 70 kg)

Distance ≈ 298 meters

Therefore, on one cookie containing 50 calories, you could potentially go approximately 298 meters

Learn more about calories on

https://brainly.com/question/11460467

#SPJ1

Answer:

These destructive frequencies entrain the thoughts towards disruption, disharmony, and disunity. Additionally, they also stimulate the controlling organ of the body — the brain — into disharmonious resonance, which ultimately creates disease and war.

The average stopping force is 16,500 N

Initial velocity of car (v₁)= 32m/s

Final velocity (v₂) = 0m/s

Time to stop= 4.8 seconds

Mass of car= 2500 kg

we need to apply the concept of laws of motion

Acceleration of car (a)= Change in velocity/time

a= v₂-v₁/t

a= 0-32/4.8

a= -6.6 m/s² ( deceleration)

Force= mass x acceleration

Force= 2500x 6.6

Force= 16500 N

Therefore the average stopping force is 16,500 N.

To know more about force, click on https://brainly.com/question/25239010

A covalent bond forms between two atoms that can share a pair

of valence electrons, while a hydrogen bond forms between two

atoms that can form ions.

When two atoms share valence electrons, do covalent bonds form?

An electron exchange that results in the formation of electron pairs between atoms is known as a covalent bond. Bonding pairs or sharing pairs are the names given to these electron pairs. Covalent bonding is the stable equilibrium of the attractive and repulsive forces between atoms when they share electrons.

Not a covalent link to a hydrogen atom, hydrogen bonding is an unique kind of dipole-dipole interaction between molecules. It comes about as a result of the attraction between two extremely electronegative atoms, such as N, O, or F, and a hydrogen atom that is covalently bound to one of them.

To learn more about covalent bond use:

https://brainly.com/question/3447218

#SPJ1

The power output is given 2000 watt and voltage is 240 v. Then the current through the heating element is 8.3 A and the resistance is 29 ohms.

The power used by an object is the rate of its work done or energy. It is the energy divided by time. The power output in a circuit is the product of the potential difference V and current I.

P = I V

Given,

P = 2 kw = 2000 W

v = 240 V.

Then I = P/v

I = 2000 w/240 v = 8.3 A.

According to Ohm's law, voltage v is the product of the current and resistance through the material.

hence,

V = I R

then, R = V/I

R = 240 V/8.33 A

  = 29 Ω.

Therefore, the current and resistance through the heating element are 8.3 A and 29 ohms respectively.

Find more on power;

https://brainly.com/question/24110214

#SPJ9

Ohm's law :

V = I x R

V= voltage = 134 V

R = resistance = 8 Ω

I = current

I = V / R

Replacing:

I = 134/8 = 16.75

Current = 16.75 Ampere [A]

Answer:

For a phase change from solid to liquid, the bonds do not break completely and the particles can still slide past each other

Explanation:

I took the quick check

Answer:

B

Explanation:

The iris controls the amount of light that enters the eye by opening and closing the pupil. The iris uses muscles to change the size of the pupil. These muscles can control the amount of light entering the eye by making the pupil larger (dilated) or smaller (constricted).

Answer:

D.

Explanation:

The iris has special muscles that are constantly contracting and expanding to adapt to the amount of light entering your eyes. That's why your iris dialates when you're in the dark, its becomes larger to adapt to the low lighting so you are able to see better

Use the kinetic energy formula:

KE = 1/2 m v^2

m= mass = 49 kg

v = speed

and the potential energy formula:

PE = m g h

g = 9.8 N

h= height = 6 m

PE = 49 x 9.8 x 6 = 2,881.2 J

Since PE = KE

2,881.2 J = KE

2,881.2 = 1/2 x 49 x v^2

2,881.2 = 24.5 x v^2

2,881.2 / 24.5 = v^2

117.6 = v^2

√117.6 = v

v= 10.84 m/s

Explanation:

Let's calculate the components of the football's velocity:

\(v_{0x} = (23.9\:\text{m/s})\cos{51.5°} = 14.9\:\text{m/s}\)

\(v_{0y} = (23.9\:\text{m/s})\sin{51.5°} = 18.7\:\text{m/s}\)

a) The time it takes for the football to travel 36.0 m horizontally is

\(t = \dfrac{x}{v_{0x}} = \dfrac{36.0\:\text{m}}{14.9\:\text{m/s}} = 2.4\:\text{s}\)

During this time, the y-displacement of the football is

\(y = v_{0x}t - \frac{1}{2}gt^2\)

\(\:\:\:\:= (18.7\:\text{m/s})(2.4\:\text{s}) - \frac{1}{2}(9.8\:\text{m/s}^2)(2.4\:\text{s})^2\)

\(\:\:\:\:= 16.7\:\text{m}\)

This means that the football cleared the crossbar by 16.7 m - 3.05 m = 13.7 m

b) To determine whether the football was rising or falling while clearing the crossbar, let's look at the y-component of its velocity after 2.4 s:

\(v_y = v_{0y} - gt = 18.7\:\text{m/s} - (9.8\:\text{m/s}^2)(2.4\:\text{s})\)

\(\:\:\:\:\:\:= -4.82\:\text{s}\)

Since its sign is negative, this means that the football was already on its way down.

Answer:

nuclear fusion

Explanation:

converting hydrogen to helium.

Answer: Mechanical waves must travel through a medium, but electromagnetic waves do not require a medium to travel.

Explanation: 'Electromagnetic' waves do not need any medium to travel whereas 'mechanical waves' need a medium or matter for transmission. Electromagnetic waves are produced by the 'vibrations' of the charged particles. They can even travel in vacuum.  

On the contrary, mechanical waves are caused by the 'wave amplitude'. Mechanical wave can travel in solid, liquid and gas and are considered to be periodic disturbance.

Answer:

I don't believe it is any of those because sound waves all do that as well as electromagnetic waves

Explanation:

1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.

3. The cost of electricity from the automobile battery is 38.6 cents per kWh.

4. The current that would be carried through the body is 0.8 mA if dry.

1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.

Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.

3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.

Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.

4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.

To learn more about electricity, here

https://brainly.com/question/27545813

#SPJ1

Answer:

The difference between (a) and (b) is the deviation caused by the actual pulley not being a perfect solid disk. In (a), we took into account the additional frictional torque and calculated the more accurate moment of inertia. In (b), we made a rough estimate assuming the pulley to be a solid disk, which disregards factors such as the mass distribution and the presence of the axle. The difference between the two values is the deviation caused by these factors.

Answer:

The below diagram shows pure spectrum with white light

Explanation:

jacob first stack is 1

Answer:

help

Explanation:

me

Answer:

Conservation of Energy: Like all things, Stirling Engines follow the conservation of energy principle (all the energy input is accounted for in the output in one form or another). ... The hot one supplies all of the energy QH, while the cold one removes energy QC (a necessary part of the cycle).

Explanation:

Answer: Yes

Explanation: All the energy input is accounted for in the output in one form or another

Answer:

1. telescope

2.

\(f = \frac{r}{2} \)

\(f = \frac{r}{2} \)f- focal length

\(f = \frac{r}{2} \)f- focal length r- the radius of curvature of the mirror

\( \frac{1}{f} = \frac{1}{p} + \frac{1}{l} \)

p-the distance of the object from the vertex of the mirror

l-the distance of the figure from the vertex of the mirror

Answer:

Explanation:

check the attachment for the diagram of the set up for proper clarification.

From the diagram, the man's distance from the pole is labelled AB.

To get AB =, we need to get side CB first which is equal to ED i.e ED = CB.

From ΔCDE, opposite side = 45 feet and the adjacent is ED.

USing TOA, according to trig function SOH, CAH, TOA;

tan 16° = opp/adj = BD/ED

tan 16° = 45/ED

ED = 45/tan 16°

ED = 156.93 feet

Since ED = CB, hence CB = 156.93 feet

From ΔABC, adj = CB and hypotenuse = AB. According to CAH;

cos 12° = adj/hyp = CB/AB

cos 12° =  156.93/AB

AB =  156.93/cos 12°

AB = 160.44 feet

Hence the man's distance from the pole is 160.44 feet

Answer:

When object is placed between the focus (F) and pole (P) of a concave mirror, magnified and erect image of the object is formed on the back of the mirror.

When object is placed between the centre of curvature and the principal focus of a concave mirror, magnified and inverted image is formed in front of the mirror.

Explanation:

The order of the average surface temperature of the given planets as Mercury, Earth, Mars, Jupiter, and Neptune based on their distance from the sun.

The Solar System can be described as the gravitationally bound system of the Sun and the plants are the objects that orbit it. The solar system is formed 4.6 billion years ago from the gravitational collapse of a giant interstellar cloud.

Most of the mass of the solar system is contained in the Sun and the remaining mass is in the planet Jupiter. The four inner planets Mercury, Venus, Earth, and Mars are terrestrial planets, made primarily of rock and metal.

The two largest planets Jupiter and Saturn, are gas giants, made mainly of hydrogen and helium. The next two, Uranus and Neptune, are ice giants, made of volatile substances with hydrogen and helium, such as ammonia, water, and methane.

The average surface temperature of Mercury is 333°F (167°C), Earth 59°F (15°C), Mars -85°F (-65°C), Jupiter -166°F (-110°C), and Neptune -330°F (-200°C)

Learn more about the solar system, here:

https://brainly.com/question/12075871

#SPJ1

A group of people pulling up on by pulley is way easier than by pulling directly because a pulley system is a freight lift system that allows objects to be hoisted to higher floors with less force. The pulley mechanism is used for Wells to hoist the bucket out of the well. In order to operate, certain forms of gym equipment use pulleys. In order to lift and position heavy goods, building pulleys are used.

A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. The supporting shell is known as a block, and the pulley may also be referred to as a sheave or a pulley wheel when it is supported by a frame or shell but does not transmit power to a shaft. For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the drive component of a pulley system. It is example of  simple machines.

To know more about Pulley, visit;

brainly.com/question/20541356

#SPJ1

Answer:

If we are upset, often our mind cannot think straight. we need to take deep breaths, and focus on reality. When we are upset we do things out of anger.

Explanation:

Hope this helps!

A car is moving north at 5.2 m/s². SI unit in this value is m/s² (meter per second square), expressing Acceleration. Thus, Option D is the correct answer.

Here Acceleration of any object is given by the Rate of change in velocity in relation to time.

\(Acceleration = \frac{velocity}{time}\) ............(i)

The standard Indian (SI) unit of Acceleration is meter per second square(m/s²).

The velocity of any object is displacement per unit time.

\(velocity = \frac{Displacement}{Time}\)............(ii)

The standard Indian (SI) unit of Velocity is meter per second(m/s)

The Displacement of any object is the shortest distance covered by any object considering the direction of motion also.

The standard Indian (SI) unit of displacement is meter(m).

The standard Indian (SI) unit of Time is Second(s).

We can find standard Indian (SI) unit of Acceleration using formula as follows:

\(Acceleration= \frac{Velocity}{time*time}\)  (we got this formula from (i), (ii) )

The standard Indian (SI)  units of acceleration are \(=\frac{m}{s*s}\)

\(=m/s^{2}\)

Read more about Acceleration:

https://brainly.com/question/605631