a boy wishes to cross a river in the shortest possible time, without necessarily landing directly across from his starting point. he can row at 2 m/s in still water and the river is flowing at 1 m/s. at what angle θ should he point the bow (front) of his boat?

Answers

Answer 1

He should bow his boat at 90° to cross the river.

While the water will push him in side ways, it will not affect the time it takes to actually cross the river.

Hence, the correct answer is  90°.

Factors that have an effect on the velocity of a river consist of the slope gradient, the roughness of the channel, and tides. Rivers generally tend to drift from a higher elevation to a lower elevation. The gradient is the drop of the elevation of a river.

Reverberation is the time taken for the sound to fall beneath the minimal audibility measured from the immediate whilst the supply stopped sounding. Therefore if the reverberation time will become too massive it produces an echo.

Due to velocity of water drift in river, a person either swimming or floating stationary within the river reports a pushing force alongside the flow direction.

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Related Questions

How much thermal energy does a 2 kg steel block (c = 450 J/kg°C) lose when it cools from 300°C to
20°C?

Answers

Answer:

see below

Explanation:

x J  /  (2 kg * (300-20 C) =  450  J / (kgC)

x = 450 * 2(280) = 252000 J = 252 kJ

Answer:

Thermal energy lost = 252,000 J

Explanation:

change in thermal energy = mass x specific heat capacity x change in temperature

ΔE = mcΔθ

ΔE = change in thermal energy (J)

m = mass (kg)

c = specific heat capacity (J/kg℃)

Δθ = change in temperature (℃)

ΔE = 2 x 450 x (300-20)

ΔE = 252,000 J

Thermal energy lost = 252,000 J

A toy plane is displaced 12m to the right and then 16m upward.
What is the magnitude of the resultant displacement?

Answers

Answer:
20m [E 53 degree N]

I attached a photo to answer you question. Hope this helps!

You are on a hike in the mountains. You have 3.23 km left to go before your next camp-site. The sun will set in 5.34 h.
What average speed must you walk to get to camp at sunset

Answers

Average speed corresponds to the total distance traveled in a specific time interval. Given distance and time information just divide it.

Average speed = 3.23KM/5.34h = 0.604km/h

Hence, you should not have a speed of less than 0.604km/h if you want to catch the sunset.

Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment. Average speed measures the average speed while moving. Average speed is calculated by dividing the total distance traveled by the time interval. For example, the average speed of a person who takes him 40 minutes to travel 20 miles north and then 20 miles south (to reach the same place) is 40 miles divided by his 40 minutes.

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The character laying on the ground has just been burnt by a chemical known as potassium hydroxide, made from a potassium atom, an oxygen atom, and a hydrogen atom. This means that potassium hydroxide (like most substances) is a _____.

Answers

This means that potassium hydroxide is a Compound. Option A.

Water is formed from the chemical combination of hydrogen and oxygen. A water molecule is a chemical bond of two hydrogen atoms and one oxygen atom. Hydrogen polyoxides, also called oxidants oxyhydrogen or explosive gases, are composed only of hydrogen and oxygen atoms, joined only by single bonds, are saturated and acyclic, and have a molecular structure containing no rings or loops increase.

Hydrogen is an element consisting of a group of hydrogen atoms, and oxygen is an element consisting of oxygen atoms. But water is a compound of water molecules. Molecules that make up a compound are made up of different types of atoms, but molecules can also be made up of the same type of atoms. Two hydrogen atoms and one oxygen atom combine to form water. two hydrogen atoms and two oxygen atoms combine to form hydrogen peroxide,

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Is sonic faster than flash

Answers

Answer: Flash

Explanation:

sonic can run 767mph

the flash can run roughly 8.3 million mph

Answer:

Sonic.

Explanation:

There is no direct answer, but Sonic leaves a bigger trail behind him than flash and Sonic has a boost and power-ups.

Students measured the temperature of the water at different depths in lake hale and found that the temperature varied

Answers

The independent variable in this condition of a varied temperature of the lake include the following:

DepthSun intensity.

What is Independent variable?

This is the type of variable which doesn't depend on the condition of others and is usually altered by scientists so as to causal effects on the other types of variables which are present in the experiment.

In this scenario, the independent variables are those which are responsible for the temperature difference of the Lake hale and they include the depth and sun intensity. An increase in depth means the temperature will be lower while an increase in sun intensity means increase in temperature.

The dependent variable is the temperature which is affected by the changes in the parameters listed above.

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The other part of the question is:

What is the independent variable?

20 points!! Pls help
An object has a mass of 40 kilograms. What is its weight on the Moon? (The acceleration due to
gravity on the moon is 1.8 m/s².)
Select one:
a. 72 newtons
B. 97 newtons
c. 108 newtons
d. 235 newtons

Answers

Answer:  [tex]w=72N[/tex]

Explanation:

[tex]m=40\ kg\\g=1.8\ m/s^2\\w=mg\\w=40*1.8\\w=72N[/tex]

a small button placed on a horizontal rotating platform with diameter 0.530 m will revolve with the platform when it is brought up to a speed of 39.0 rev/min , provided the button is no more than 0.230 m from the axis.

Answers

To begin, change the rotational speed () to rev/sec: 13/20 revs per second is equal to 39 revs per minute multiplied by 1 minute and 60 seconds.

The equation is then updated with all the values: = rw^2/g\s

=(0.230*13/20)/9.8

=0.015255

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Antonio has been told that he needs to work on his self- awareness. What might he do to most improve this skill

Answers

For Antonio to improve his self-awareness skills he should be able to recognise hie strengths and his weaknesses.

What is self awareness?

Self awareness is the act of being able to recognise your feelings and keep your character under control.

To be a self awareness leader, one should be able to have the following qualities:

They should be able to recognize their strengths and challenges.They should be able to recognise other people's needs and feelings,They should be able to notice how their behaviour affects the people around them.

Therefore, it can be said for Antonio to improve his self awareness skills, he should be able to recognise his strength and weaknesses and observe how his character affects the people around him.

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if you walk 6.0 km in a straight line in a direction north of east and you end up 2.0 km north and several kilometers east. how many degrees north of east have you walked?

Answers

According to the given statement 19e degrees north of east have you walked.

The correct option is A

What is called straight line?

A straight line is, to put it simply, a line without bends. An uncurved line that extends to infinity on both sides is said to be straight.

What are some straight line examples?

Even though they have no start or finish, straight lines are represented in everyday life by things like train tracks and freeways.

What four varieties of straight lines are there?

Focuses on four basic types of straight lines: vertical, horizontal, diagonal from left to right, and diagonal from right to left, as well as potential groupings of each.

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The complete question is -

If you walk 6.0 km in a straight line in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walked?

A) 19e

B) 45e

C) 60e

D) 71e

spike claims that dimensional analysis shows that the correct expression for change in velocity, , is , where m is mass, t is time, and f is the magnitude of force. carla says that can't be true because the dimensions of force are . which one, if either, is correct? group of answer choices

Answers

Carla says that can't be true because the dimensions of force are Carla because [tex]$[\overrightarrow{\mathrm{v}}]=\left[\frac{\mathrm{L}}{\mathrm{T}}\right]$[/tex].

The correct option is C.

What do dimensions mean?

In physics, a mathematical space's dimension is formally defined as the smallest set of coordinates required to specify any given point. As a result, a line has a dimension of one since a point on it may be specified by a single coordinate, such as the point at 5 on a number line.

Describe the dimension formula:

The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit. Dimensional force is one example. F = [M L T-2] It's because Netwon, or kg*m/s2, is the unit of force.

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The complete question is-

Spike claims that dimensional analysis shows that the_ correct expression for change in velocity,  is , where m is mass, t is time, and f is the magnitude of force. Carla says that can't be true because the dimensions of force are ML/T2. which one, if either, is correct? group of answer choices

A-Spike because [tex]$[\overrightarrow{\mathrm{V}}]=\left[\frac{\mathrm{ML}}{\mathrm{T}}\right]$[/tex]

B- Spike because[tex]$[\overrightarrow{\mathrm{v}}]=\left[\frac{\mathrm{T}^2}{\mathrm{~L}}\right]$[/tex]

C- Carla because [tex]$[\overrightarrow{\mathrm{v}}]=\left[\frac{\mathrm{L}}{\mathrm{T}}\right]$[/tex]

D- Carla because [tex]$[\overrightarrow{\mathrm{v}}]=\left[\frac{\mathrm{L}}{\mathrm{MT}}\right]$[/tex]

E- Spike because the dimension of force are [tex]$[\overrightarrow{\mathrm{F}}]=\left[\frac{\mathrm{T}^2}{\mathrm{ML}}\right]$[/tex]  

Give an example of periods (periodic table)

Answers

Horizontal rows on the periodic table.
Example: Row 1, which includes Hydrogen and Helium.

Answer:

helium, hydrogen, nitrogen, oxygen,iron,uranium,

Explanation:

there are 118 elements but here are some

mrs. hogan has given you a box of materials and challenged you to use the materials to determine what effect increasing the current in a wire has on the magnetic field generated around the wire. describe how you can use some, or all, of the materials to determine what effect increasing the current in a wire has on the magnetic field generated around the wire. In your description, be sure to include the following:

Describe how you would use each of the materials you choose to use

Identify your independent and dependent variables, and at least two controlled variables

Create a data table that can be used to record your data

Materials in the Box

4 batteries

wire

directional compass

10 iron nails

a strong permanent magnet

a weak permanent magnet

a voltmeter

a box of paper clips

Answers

The magnetic field is the area around a magnet in which there is magnetic force. Moving electric charges can make magnetic fields.

we are able to make this magnetic field more potent by using growing the quantity of electrical cutting-edge going thru the twine or we are able to grow the variety

A magnetic area is a vector field that describes the magnetic affect on shifting electric costs, electric-powered currents, and magnetic materials. A shifting charge in a magnetic area reviews a force perpendicular to its very own velocity and to the magnetic field.

The force is perpendicular to each the velocity v of the price q and the magnetic field B. 2. The significance of the force is F = qvB sinθ where θ is the angle < a hundred and eighty levels among the rate and the magnetic field.

Examples of magnetic force is a compass, a motor, the magnets that maintain stuff at the fridge, teach tracks, and new roller coasters. All transferring expenses supply upward thrust to a magnetic subject and the charges that flow through its regions, revel in a force

This discipline is shaped via the magnetic strains of pressure which run from the north pole to the south pole. these traces can be located to be most crowded at the 2 ends of the magnet which might be the poles i.e the north pole and the south pole.

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a person stands at the base of a hill that is a straight incline making an angle with the horizontal (fig. 3-48). for a given initial speed vq, at what angle 0 (to the hori- zontal) should objects be thrown so that the distance d they land up the hill is as large as possible?

Answers

θ = sin⁻¹√2gd

V2 = u2 + 2as is derived from one of the equations of motion, which is equation 1.

The initial velocity u would change to V0 sin because the item is moving at an angle of to the horizontal and the acceleration a would change to -g since the object is going against gravity.

Equation 1 would yield the following results if we entered all these parameters:

(u sin )2 - 2gd = v2

(u sin )2 equals 2gd

(u sin )2/2g = d

sin² θ = 2gd

sin θ = √2gd

θ = sin⁻¹ √2gd

The rate at which the velocity of an object changes in relation to time is known as acceleration. They are accelerations and vector quantities. The object's acceleration is determined by the direction of the net force acting on it.

All objects with mass or energy are attracted to one another by gravity, which is a fundamental interaction.

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What causes the build up of static electricity in clouds?

a
The negative charge of Earth
b
Magnets
c
Friction
d
Conservation of charge

Answers

c or d

Explanation:

friction or conservation

derive an expression for the speed v of the object just before it strikes the ground for general α0 . express your answer in terms of some or all of the variables v0 , α0, h, and the acceleration due to gravity g.

Answers

The speed of the object just before it hits the ground will be equal to,

v = √ ( v₀² + 2 g H )

What are newton's equations of motion?

Equations of motion describe the concept of the motion of an object such as the position, velocity, or acceleration at various times. Three equations of motion are derived for the motion of an object in 1D, 2D, and 3D.

To derive components are displacement(s), velocity, time(t), and acceleration(a). :

The 1st equation of motion is : v = u + at

The 2nd equation of motion is : S = ut + (1/2)at²

The 3rd equation of motion is : v² = u² + 2 g S

Given, the initial velocity of an object u = v₀ in an upward direction so it will be negative, u = - v₀

The displacement of an object is the height of the object from the ground S = H and It is downward so it will be positive.

The acceleration = g as the object moving towards the ground ( positive in downwards ). The final velocity of the object is V before it hits the ground.

Using the 3rd equation of motion to find the velocity of the object,

v² = u² + 2 g S

v² = (- v₀ )² + 2 g h

v = v₀² + 2 g H .

v = √ ( v₀² + 2 g H )

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Answer with explanation pls

Answers

Car moves 3m after 5 seconds.

What is a Straight Line Motion?

If an object's location changes over time in respect to its surroundings, it is said to be in motion. An object's position changes over time. There is just one kind of motion, and that is linear motion.

Immediately Speed and Immediately Velocity:

Immediately Speed. Instantaneous speed is the velocity of an item at a certain instant in time.

A particle's instantaneous velocity is its speed at any given moment in time or location along its route.

Final velocity: 0 m/s

Initially moving at 15 m/s

Acceleration equals 2 m/s^2.

Arrange to address the time problem:

t = 5 seconds

Use the following to calculate an distance at a constant rate:

Distance is equal to ( Vf +Vo)/ Time

Distance: (0 + 15 m/s)/ 5 sec

d=3-meter distance

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Which of the following correctly completes box #2 in the chart above?

Answers

City - A city is defined as a group of people living in one place within a county sharing many common characteristics, especially the system of government. Cities are part of counties and counties are part of states.

A 2D column chart shows the evolution of a data series over time or compares multiple items. Element types are arranged horizontally and data values ​​are displayed vertically to emphasize changes over time. Scatter charts have two value axes. It displays one set of numerical data along the horizontal axis and another set along the vertical axis.

Combine these values ​​into individual data points and display them in irregular intervals or clusters. The main function of charts is to display data and explore topics in more detail. Charts are used when a simple table cannot adequately represent important relationships or patterns between data points.

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b. When a certain amount of violet light and yellow light shine on a metal surface, only violet light
produces an electric current. Write 3-4 sentences describing how an increase in the intensity of
each type of light will affect the amount of current produced. How does quantization help to explain
these observations? (6 points)

Answers

Answer:when a certain amount of violet light and yellow light shine on a metal surface only violet light produces an electric current describe how an increase in the intensity of each type of light will affect the amount of current produced, how does quantization help to explain these observations? Question thumb_up 100%

Explanation:

An increase in the intensity of violet light will lead to a proportional increase in the amount of electric current produced, as more violet photons will have enough energy to liberate electrons through the photoelectric effect.

However, an increase in the intensity of yellow light will not affect the electric current, as even with higher intensity, yellow photons do not possess sufficient energy to release electrons from the metal surface. This observation can be explained by quantization, which states that light energy is quantized into discrete packets called photons.

Each photon must possess a minimum energy threshold (the work function) to cause electron emission. Violet light photons have higher energy and can overcome the work function, while yellow light photons do not have enough energy and thus cannot produce a current, regardless of their intensity.

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a force of 5.0 n is applied to a point object at 30o with the horizontal. another force of 10.0 n is applied at 120o . a) determine the net force (the magnitude and angle)

Answers

The net force calculated is 5 N. The total of all forces exerted on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion.

The combined effect (the sum) of all pushing and pulling forces that are really operating on an object is known as the net force. An object will accelerate in the direction of the net force if the pushing and pulling forces acting on it are not equal (a net force acts).When there are a lot of forces acting on a system, the term "net force" is employed.

We now have a 30° - 60° /90° right triangle because this force does produce a 30° angle with the y-axis.

The force of 10N (hyp.) or sin 30 = x/10N

x = 10N sin 30

x = 5 N is used to find the magnitude of x.

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A scientist decides to replicate an experiment completed by another scientist. Which statement describes something that would not affect the results of the replicated experiment?
A) The two experiments were completed by two different people.
B) The variables were not kept the same in both experiments.
C) The two scientists did not use the same equipment.
D) There were some measurements that were different in the two experiments.

Answers

The statement describes something that would not affect the results of the replicated experiment is option A. (The two experiments were completed by two different people)

What is an experiment?

An experiment can be defined as a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.

Experiments helps in the provision of insight into the cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.

If two experiments were completed by two different people, it would not affect the results if the experiment is replicated.

The purpose of any experiment is to test or verify a hypothesis

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I will gib brainlyest or whatever.
A cannonball is launched from the top of a 35m cliff at an angle of 11.2 degrees above the horizontal with a velocity of 153m/s. Find:

a. How far it goes

b. How high it goes

c. How long it's in the air

d. Its final velocity

Answers

Answer:

Range of the projectile: approximately [tex]1.06 \times 10^{3}\; {\rm m}[/tex].

Maximum height of the projectile: approximately [tex]80\; {\rm m}[/tex] (approximately [tex]45.0\; {\rm m}[/tex] above the top of the cliff.)

The projectile was in the air for approximately [tex]7.07\; {\rm s}[/tex].

The speed of the projectile would be approximately [tex]155\; {\rm m \cdot s^{-1}}[/tex] right before landing.

(Assumptions: drag is negligible, and that [tex]g = 9.81\; {\rm m\cdot s^{-1}}[/tex].)

Explanation:

If drag is negligible, the vertical acceleration of this projectile will be constantly [tex]a_{y} = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex]. The SUVAT equations will apply.

Let [tex]\theta[/tex] denote the initial angle of elevation of this projectile.

Initial velocity of the projectile:

vertical component: [tex]u_{y} = u\, \sin(\theta) = 153\, \sin(11.2^{\circ}) \approx 29.71786\; {\rm m\cdot s^{-1}}[/tex]horizontal component: [tex]u_{x} = u\, \cos(\theta) = 153\, \cos(11.2^{\circ}) \approx 150.086\; {\rm m\cdot s^{-1}}[/tex].

Final vertical displacement of the projectile: [tex]x_{y} = (-35)\; {\rm m}[/tex] (the projectile landed [tex]35\: {\rm m}[/tex] below the top of the cliff.)

Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find the final vertical velocity [tex]v_{y}[/tex] of this projectile:

[tex]{v_{y}}^{2} - {u_{y}}^{2} = 2\, a_{y}\, x_{y}[/tex].

[tex]\begin{aligned} v_{y} &= -\sqrt{{u_{y}}^{2} + 2\, a_{y} \, x_{y}} \\ &= -\sqrt{(29.71786)^{2} + 2\, (-9.81)\, (-35)} \\ &\approx (-39.621)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

(Negative since the projectile will be travelling downward towards the ground.)

Since drag is negligible, the horizontal velocity of this projectile will be a constant value. Thus, the final horizontal velocity of this projectile will be equal to the initial horizontal velocity: [tex]v_{x} = u_{x}[/tex].

The overall final velocity of this projectile will be:

[tex]\begin{aligned}v &= \sqrt{(v_{x})^{2} + (v_{y})^{2}} \\ &= \sqrt{(150.086)^{2} + (-39.621)^{2}} \\ &\approx 155\; {\rm m\cdot s^{-1}} \end{aligned}[/tex].

Change in the vertical component of the velocity of this projectile:

[tex]\begin{aligned} \Delta v_{y} &= v_{y} - u_{y} \\ &\approx (-39.621) - 29.71786 \\ &\approx 69.3386 \end{aligned}[/tex].

Divide the change in velocity by acceleration (rate of change in velocity) to find the time required to achieve such change:

[tex]\begin{aligned}t &= \frac{\Delta v_{y}}{a_{y}} \\ &\approx \frac{69.3386}{(-9.81)} \\ &\approx 7.0682\; {\rm s}\end{aligned}[/tex].

Hence, the projectile would be in the air for approximately [tex]7.07\; {\rm s}[/tex].

Also the horizontal velocity of this projectile is [tex]u_{x} \approx 150.086\; {\rm m\cdot s^{-1}}[/tex] throughout the flight, the range of this projectile will be:

[tex]\begin{aligned}x_{x} &= u_{x}\, t \\ &\approx (150.086)\, (7.0682) \\ &\approx 1.06 \times 10^{3}\; {\rm m} \end{aligned}[/tex].

When this projectile is at maximum height, its vertical velocity will be [tex]0[/tex]. Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find the maximum height of the projectile (relative to the top of the [tex]35\; {\rm m}[/tex] cliff.)

[tex]\begin{aligned}x &= \frac{{v_{y}}^{2} - {u_{y}}^{2}}{2\, a} \\ &\approx \frac{0^{2} - 29.71786^{2}}{2\, (-9.81)} \\ &\approx 45.0\; {\rm m}\end{aligned}[/tex].

Thus, the maximum height of the projectile relative to the ground will be approximately [tex]45.0\; {\rm m} + 35\; {\rm m} = 80\; {\rm m}[/tex].

A company is creating a new mosquito repellent, and needs to figure out how much is needed to stop mosquito bites. They find volunteers from the nearby college. Each person is given either 1mL, 2mL, or 3mL of the repellent to rub on their arm. Some volunteers are given no repellent. Each person is then put in a room with mosquitoes for 10 minutes. Numbers of bites are measured for each volunteer.

In Experiment 1 above, what is the independent variable?

Answers

The independent variable is the different amount of repellent each person is given. This is because it does not depend on any variable. The dependent variable is what they are measuring, which would be the number of bites on each volunteer.
I hope this helps! :)

A cannon ball is fired horizontally from a cannon sitting on a cliff with a velocity of 30 m/s. The cannon ball lands 533 meters away. How long (t) was the cannon ball in the air?

Answers

The time that the cannon ball spends in the air is 17.7 seconds.

What time does the cannon ball spend in the air?

The cannon ball in flight is a projectile.

Projectiles are objects that follow a parabolic path during their motion.

The time that the cannon ball spends in the air is calculated as follows:

The cannon ball is released with a horizontal velocity, u = 30 m/s

The cannon ball travels a horizontal distance, d = 533 m

When the cannonball was fired, it undergoes two types of motion:

a vertical downward motion at constant acceleration due to gravitya horizontal motion with initial velocity, u = 30 m/s and final velocity, v = 0 m/s

The time spent in the air or time of flight, t, is the same for both the horizontal and vertical motion of the cannonball.

Horizontal distance = velocity * timetime = Horizontal distance / velocity

Time = 533 / 30

Times spent in the air = 17.7 seconds.

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What is the minimum wave amplitude amin such that the ant will become momentarily weightless at some point as the wave passes underneath it? assume that the mass of the ant is too small to have any effect on the wave propagation.

Answers

The ant will become weightless when the normal force between the string and the ant becomes zero .

What is the explanation?

On the center of a tightrope used in circus acts, a sizable ant is standing. A rope has mass for every unit of length. A tightrope walker steps up and down at the end of the tightrope in an attempt to shake the ant off the rope, creating a sinusoidal transverse wave of wavelength and amplitude A.

Assume that g is the gravity-induced acceleration's force. What is the smallest wave amplitude Amin required for the ant to briefly lose its weight while the wave passes beneath it? Assume that the ant's bulk is insufficient to affect the wave's propagation in any way. In terms of Ts,, g, and the smallest wave amplitude, write the expression.

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An engine of a train has to apply a force of 4000 newton to overcome friction. To run at a uniform rate of 60km/hr, What is the power developed by the engine?

Answers

Answer:

Power = 4000×60× 5/18

Explanation:

The reason for this result is because:

power=force × velocity.

This means that power = 400 × 60 × 5/18

Tarzan (m = 80 kg) is on a quest to save Jane. He runs towards a rope with a velocity of 12 m·s-1 . He grabs onto the rope. To what height will Tarzan swing?

Answers

The height to which Tarzan swings with a mass 80 kg and a velocity of 12 m / s is 7.2 m

K = 1 / 2 m v²

U = m g h

E = K + U

E = Total mechanical energy

K = Kinetic energy

U = Potential energy

m = Mass

g = Acceleration due to gravity

h = Vertical height

v = Velocity

Since Tarzan swings, it represents half the motion of pendulum. Therefore total mechanical energy is constant.

[tex]E_{i}[/tex] = [tex]E_{f}[/tex]

m = 80 kg

[tex]v_{i}[/tex] = 12 m / s

[tex]v_{f}[/tex] = 0

[tex]h_{i}[/tex] = 0

g = 10 m / s²

According to Law of conservation of Energy,

[tex]K_{i}[/tex] + [tex]U_{i}[/tex] = [tex]K_{f}[/tex] + [tex]U_{f}[/tex]

( 1 / 2 * m * [tex]v_{i}[/tex]² ) + ( m g [tex]h_{i}[/tex] ) = ( 1 / 2 * m * [tex]v_{f}[/tex]² ) + ( m g [tex]h_{f}[/tex] )

( 1 / 2 * 80 * 12² ) + 0 = 0 + ( 80 * 10 * [tex]h_{f}[/tex] )

[tex]h_{f}[/tex] = 5760 / 800

[tex]h_{f}[/tex] = 7.2 m

Therefore, Tarzan will swing to a height of 7.2 m

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based on law of conservation of mass: when you burn a candle, all that remains is a small puddle of wax. the puddle of wax has less mass than the original candle. the rest of the original candle’s mass was :

Answers

The rest of the original candle’s mass was changed to gases.

What is law of conservation of mass?

The law of conservation of mass states that during a chemical reaction in an enclosed medium that there is neither generation or lost if it's mass but that it can be transformed.

Mass is defined as the scalar quantity that defines the quantity of matter found in a particular component or object.

The candle is made up of carbonic compounds that decreases in mass to form a puddle of wax when burnt.

The original mass of the candle was not lost but while some where converted to puddle of wax the rest escaped as gas to the atmosphere.

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a fast moving object has/ a potential energy \ b or more kinetic energy

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Answer:

Faster-moving objects have more kinetic energy than slower objects.

Explanation:

A faster-moving object has:

a. more potential energy

b. more kinetic energy

c. equal kinetic and potential energies

d. energy based on the weight of the object

Hope this helps.

A race car travels on a racetrack at 44 m/s and slows at a constant rate to a velocity of 22 m/s over 5.5 seconds. How far does it move during this time?

Answers

 The distance traveled by the race car would be 181.5 meters,

What are the 3 equations of motion?First equation of motion: v = u + at.Second equation of motion: s = ut + 12 at2Third equation of motion: v2 = u2 + 2as.Equations of motion are used to describe how a physical system behaves in terms of how its motion changes over time. The behavior of a physical system is described in more detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables. These variables typically consist of space, time, and sometimes elements of momentum. Generalized coordinates, which can be any useful variable a part of the physical system, are the most versatile option. In classical mechanics, the functions are defined in a Euclidean space; in relativity, curved spaces are used instead. The equations are the answers to the differential equations describing the motion of the dynamics if the dynamics of a system are known.

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