A dog is running in a circle around a tree, trying to catch a rabbit. The dog's owner notices the
dog completes 4 laps around the tree in 32 seconds and the radius of the dog's circular path is
3 meters. What is the tangential velocity of the dog?

Answers

Answer 1

Answer: 2.35 m/s

Explanation:

Given

Dog completes 4 laps around the tree in  32 seconds

Radius of the circular path is 3 m

Time period for single lap is  [tex]\frac{32}{4}=8\ s[/tex]

Length of the track is equivalent to the perimeter of the path

[tex]\Rightarrow L=2\pi r\\\Rightarrow L=2\pi \times 3\\\Rightarrow L=6\pi\ m[/tex]

Tangential velocity is given by

[tex]\Rightarrow v_t=\dfrac{L}{t}\\\\\Rightarrow v_t=\dfrac{6\pi}{8}\\\\\Rightarrow v_t=2.35\ m/s[/tex]

Thus, the tangential velocity is 2.35 m/s


Related Questions

How much time would it take for an object to fall 4.7 meters

Answers

Answer:

4.7 is 10 as much as the number 0.47.

If you multiply 0.47 x 10 it will equal 4.7

Explanation:

In which of the two situations described is more energy transferred?
Situation A - a cup of hot chocolate with a temperature of 40 °C inside a freezer at -20 °C
Situation B - the same cup of hot chocolate at 90 °C in a room at 25°C

Answers

Answer:

More energy is transferred in situation A

Explanation:

Each of the situations are analyzed as follows;

Situation A

The temperature of the cup of hot chocolate = 40 °C

The temperature of the interior of the freezer in which the chocolate is placed = -20 °C

We note that at 0°C, the water in the chocolate freezes

The energy transferred by the chocolate to the freezer before freezing is given approximately as follows;

E₁ = m×c₁×ΔT₁

Where;

m = The mass of the chocolate

c₁ = The specific heat capacity of water = 4.184 kJ/(kg·K)

ΔT₁ = The change in temperature from 40 °C to 0°C

Therefore, we have;

E₁ = m×4.184×(40 - 0) = 167.360·m kJ

The heat the coffee gives to turn to ice is given as follows;

E₂ = m·[tex]H_f[/tex]

Where;

[tex]H_f[/tex] = The latent heat of fusion = 334 kJ/kg

∴ E₂ = m × 334 kJ/kg = 334·m kJ

The heat required to cool the frozen ice to -20 °C is given as follows;

E₃ = m·c₂·ΔT₂

Where;

c₂ = The specific heat capacity of ice = 2.108 kJ/(kg·K)

Therefore, we have;

E₃ = m × 2.108 ×(0 - (-20)) = 42.16

E₃ = 42.16·m kJ/(kg·K)

The total heat transferred = (167.360 + 334 + 42.16)·m kJ/(kg·K) = 543.52·m kJ/(kg·K)

Situation B

The temperature of the cup of hot chocolate = 90 °C

The temperature of the room in which the chocolate is placed = 25 °C

The heat transferred by the hot cup of coffee, E, is given as follows;

E = m×4.184×(90 - 25) = 271.96

∴ E = 271.96 kJ/(kg·K)

Therefore, the total heat transferred in situation A is approximately twice the heat transferred in situation B and is therefore more than the heat transferred in situation B

Energy transferred in situation A = 543.52 kJ/(kg·K)

Energy transferred in situation B = 271.96 kJ/(kg·K)

Energy transferred in situation A ≈ 2 × Energy transferred in situation B

∴ Energy transferred in situation A > Energy transferred in situation B.

Energy can enter and exit which of the following systems?
A. Both open and close
B. Both open and isolated
C. Open Only
C. Isolated only

Answers

Answer:

A. Both open and close

Explanation:

just took the test

Khalid has been studying the gravitational attraction between three pairs of objects. The table shows the distance between each pair and the gravitational attraction between them relative to the other pairs. Which two objects have the greatest
gravitational force, Explain Your Answer?

Answers

Answer:

Explanation:

Probably the most famous force of all is gravity. We humans on earth think of gravity as an apple hitting Isaac Newton on the head. Gravity means that stuff falls down. But this is only our experience of gravity. In truth, just as the earth pulls the apple towards it due to a gravitational force, the apple pulls the earth as well. The thing is, the earth is just so massive that it overwhelms all the gravity interactions of every other object on the planet. Every object with mass exerts a gravitational force on every other object. And there is a formula for calculating the strengths of these forces, as depicted in the diagram below:

Diagram of gravitational forces between two spheres

Diagram of gravitational forces between two spheres

Let’s examine this formula a bit more closely.

F refers to the gravitational force, the vector we ultimately want to compute and pass into our applyForce() function.

G is the universal gravitational constant, which in our world equals 6.67428 x 10^-11 meters cubed per kilogram per second squared. This is a pretty important number if your name is Isaac Newton or Albert Einstein. It’s not an important number if you are a ProcessingJS programmer. Again, it’s a constant that we can use to make the forces in our world weaker or stronger. Just making it equal to one and ignoring it isn’t such a terrible choice either.

m_1m  

1

​  

m, start subscript, 1, end subscript and m_2m  

2

​  

m, start subscript, 2, end subscript are the masses of objects 1 and 2. As we saw with Newton’s second law (\vec{F} = M\vec{A}  

F

=M  

A

F, with, vector, on top, equals, M, A, with, vector, on top), mass is also something we could choose to ignore. After all, shapes drawn on the screen don’t actually have a physical mass. However, if we keep these values, we can create more interesting simulations in which “bigger” objects exert a stronger gravitational force than smaller ones.

\hat{r}  

r

^

r, with, hat, on top refers to the unit vector pointing from object 1 to object 2. As we’ll see in a moment, we can compute this direction vector by subtracting the location of one object from the other.

r^2r  

2

r, squared refers to the distance between the two objects squared. Let’s take a moment to think about this a bit more. With everything on the top of the formula—G, m_1m  

1

​  

m, start subscript, 1, end subscript, m_2m  

2

​  

m, start subscript, 2, end subscript—the bigger its value, the stronger the force. Big mass, big force. Big G, big force. Now, when we divide by something, we have the opposite. The strength of the force is inversely proportional to the distance squared. The farther away an object is, the weaker the force; the closer, the stronger.

Hopefully by now the formula makes some sense to us. We’ve looked at a diagram and dissected the individual components of the formula. Now it’s time to figure out how we translate the math into ProcessingJS code. Let’s make the following assumptions.

We have two objects, and:

Each object has a PVector location: location1 and location2.

Each object has a numeric mass: mass1 and mass2.

There is a numeric variable G for the universal gravitational constant.

Given these assumptions, we want to compute a PVector force, the force of gravity. We’ll do it in two parts. First, we’ll compute the direction of the force \hat{r}  

r

^

r, with, hat, on top in the formula above. Second, we’ll calculate the strength of the force according to the masses and distance.

Remember when we figured out how to have an object accelerate towards the mouse? We're going to use the same logic.

a wave having a wavelength of 4.7 meters and an amplitude of 2.5 meters travels a distance of 28 meters in 7 seconds. determine the frequency and period of the wave

Answers

Answer:

T(Period) = 1.33sf(Frequency) = 0.75Hz (cycles/second)

Explanation:

Given:λ = 4.0mAmplitude = 25md = 24ms = 8.0sRequired:f = ?T = ?Analysis:v = λff =N/tT = 1/fv = d/tSolve:v = d/t = 24/8.0 → v = 3.0m/sv =λf → f = v/λ = 3.0/4.0 → f = 0.75HzT = 1/f = 1/0.75 → T = 1.33sHopes this helps. Mark as brainlest plz!

Does light travel faster in Barium glass or Crown glass? Explain

Answers

Answer:

Crown glass. The material which the velocity of light greatest is AIR. Because the speed of light in crown glass is the speed of light in a vacuum divided by the index of refraction of crown glass, which is 1.52. This works out to 1.97 times 10 to the 8 meters per second is the speed of light in crown glass.

Confused about this question. Can someone help? :)

Answers

Answer:

1 it could have been the way he put them in and 2it could be the directions there in.

A 12-ohm resistor is connected in series with a 23-ohm resistor. They are placed across a 120-volt power source. What is the current in the circuit?

A) 35 amps

B) 10 amps

C) 5.2 amps

D) 3.4 amps

Answers

Answer:

3.43 A

Explanation:

Applying,

V = IR'.............. Equation 1

Where V = Voltage, I = current, R' = Total resistance

Make I the subject of the equation

I = V/R'........... Equation 2

From the question

Given: V = 120 volt, R' = (12+23) = 35 0hm

Substitute these values into equation 2

I = 120/35

I = 3.43 A

An Abrams tank has a mass of 62,Ō00 kg. If its top speed is 20.0 m/s, what is its momentum at top speed?

Answers

Answer:

1240000 kg * m/s

Explanation:

p = momentum

p = mass * velocity in kg* m/s

62,000 kg * 20 m/s = 1240000 kg * m/s

Why do you think fixed boundaries ""flip"" waves and loose boundaries do not?

Answers

Answer:

When the obstacle is fixed, the law of action and reaction, makes the reflected wave is inverted.

When the obstacle is mobile, he mobile point, it moves in the direction of the wave, therefore there is no inversion of it.

Explanation:

Waves when they reach an obstacle behave like a shock, therefore if we use the conservation of momentum the wave must reverse its speed, this explains that the speed changes sign, the wave is reflected.

When the obstacle is fixed, the wave when it reaches the obstacle exerts a force on the point, by the law of action and reaction the point exerts on the wave a force of equal magnitude but in the opposite direction, this reaction force which makes the reflected wave is inverted.

When the obstacle is mobile, this is without friction, when the wave arrives it exerts a force on the mobile point, it moves in the direction of the wave, reaching the maximum amplitude of the incident wave, when it is reflected the point begins to go down along with the wave, therefore there is no inversion of it.

Oil is used in industrial hydraulic systems, because
A.) It naturally plugs any leaks in the system.
B.) It can be vented to the atmosphere.
C.) It is environmentally safe.
D.) It does not compress.

Answers

D it is environmental safe

Oil is used in industrial hydraulic systems, because It is environmentally safe. Option C is correct.

What is hydraulic systems?

Hydraulic systems work and accomplish tasks by utilizing a pressured fluid. Another way to say it is that the pressurized fluid makes everything operate.

Because of the tremendous power of liquid fuel in hydraulics, hydraulics are often utilized in heavy machinery.

Oil is used in industrial hydraulic systems, because It is environmentally safe.

Hence,option C is correct.

To learn more about hydraulic systems, refer:

https://brainly.com/question/9439349

#SPJ2

A 4800 Watt heater is supposed to be plugged into a 120 volt outlet to work correctly. If the heater was plugged into a 90 volt source instead, the amount of heat produced would

Answers

Answer:

3600

Explanation:

90 of 120 is 3/4 so 4800 - 1200 is 3600.

Which of these would NOT produce visible light? A) flint B) lightning C) microwave D) sun

Answers

Answer:

A microwave

Explanation

The human retina can only detect incident light that falls in waves 400 to 720 nanometers long, so we can't see microwave or ultraviolet wavelengths. This also applies to infrared lights which has wavelengths longer than visible and shorter than microwaves, thus being invisible to the human eye.

Answer:

C.) Microwave

Explanation:

USAtestprep

When a wave is allowed to pass through a medium, the wave has been
a)transmitted
b)reflected
c)absorbed
d)encoded

Answers

A) Transmitted through the medium

Danny measures the temperature of a 1.0-kg sample of sand and a 1.0-kg sample of soil. He then leaves both samples in the Sun for the 2.0 hours. At the end of this time, he measures their temperatures again.


A.
The soil absorbed more heat than the sand.
B.
The sand absorbed more cold energy than the soil.
C.
The soil absorbed more cold energy than the sand.
D.
The sand absorbed more heat than the soil.

Answers

Answer:

The sand absorbed more heat than the soil.

Explanation:

your welcome

Give an example of a genotype for a person with brown hair. (brown is dominant)

Answers

Answer:

Bb can be an example

Explanation:

That is Because brown is dominated, so it is in Capital.

a wave is a disturbance that carries energy from one place to another true or false​

Answers

A wave is a disturbance in matter which carries energy but does not displace the original object which it moves through so true
True.. took the test

What work is done by a forklift raising a 574 kg crate to a height of 1.3m in a time of 2.0 seconds?

Answers

Answer: [tex]7312.76\ J[/tex]

Explanation:

Given

Mass of crate is m=574 kg

The crate is raised up to a height of 1.3 m

time taken t=2 s

Work done to raise the crate is equal to the change in its potential energy

[tex]\Rightarrow \text{Work done W=}mgh\\\Rightarrow W=574\times 9.8\times 1.3\\\Rightarrow W=7312.76\ J[/tex]

Elements in Group
are common alkaline earth metals.
Answer here

Answers

Alkaline earth metals are found in group 2

What feature means the Earth wire will take current away from the case reducing the chance of accidental electrocution?


A:
A high resistance
B:
A fuse connected to it
C:
A very low resistance
D:
Stops the flow of the current
«

Answers

the answer should be A

According to the law of reflection, what is the angle of incidence?

It is the angle the incident ray makes with a line drawn perpendicular to the viewer.

It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface.

It is the angle the incident ray makes with a line drawn parallel to the reflecting surface.

Answers

the angle of incidence is always equal to the angle of reflection,

Explanation:

Important Information. When light is reflected from a surface, the angle of incidence is always equal to the angle of reflection, where both angles are measured from the path of the light to the normal to the surface at the point at which light strikes the surface. This equality is known as the law of reflection.

Answer:

It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface

14 What is the weight of each of
the following masses on Eth?
a) 2 kg
b) 3.5kg
c) 5.25 kg
Newton’s

Answers

Explanation:

On earth,

g=10 m/s^2

When M=2 kg,

weight on earth=2×10

=20N

When M=3.5 kg,

weight on Earth=3.5×10

=35N

When M=5kg,

weight on Earth=5.25×10

=52.5N

What is the wavelength?

Answers

Wavelength can be defined as the distance between two successive crests or troughs of a wave. It is measured in the direction of the wave. ... This means the longer the wavelength, lower the frequency. In the same manner, shorter the wavelength, higher will be the frequency.

Can you help me please? I'll mark brainiest

Answers

Answer:

picture isn't rlly clear :/

Answer:

Don't know this but I will do research

Due in a few minutes plzzzz help! Will mark brainliest

Answers

Answer:

1. 960

2. 16.6666

3. 0.41666666666

4. 10

Explanation:

A*V=W

A*120=50

V=I*R

R being resistance

(I'm not a 100% sure on 2 & 3)

Suppose you take
a short piece of wire that is not
attached to anything and move it up and down in a
magnetic field. Explain whether or not a current will be
induced, and why.

Answers

Answer:

a current will be induced.

Explanation:

Answer:

Explanation:Sample Response: A current will not be induced because the wire is not part of a closed circuit. The electrons have no place to flow to.

What did you include in your response? Check all that apply.

A current will not be induced.

The wire is not part of a closed circuit.

A gold pendulum swings with angular acceleration a, and a point on the edge has tangential acceleration a. A silver pendulum swings with angular acceleration 3a, and a point on the edge has tangential acceleration 5a. How does the radius of the gold pendulum r gold compare with the silver pendulum r silver ?

A 1/15
B 5/3
C 15
D 3/5​

Answers

Answer:

D - 3/5r

Explanation:

Khan Academy

How come we can see orange? In simple words.

Answers

Answer:

When sunlight shines through an orange solution, the violet, blue and green wavelengths are absorbed. The other colors pass through.

2. Perform the following:
2. 1111+1102

Answers

2213

just add with a calculator

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

1,111+1,102

= 2,213

Thanks Pls mark as brainliestHope it helps

Why can elastic band particles stay together​

Answers

Answer:

The particles are held rigidly in place by all the other particles around them so they can't slip past one another or move apart. This gives solids a fixed shape and a fixed volume.

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