Un acróbata de masa M, se impulsa hacia arriba con una velocidad v0 desde un

trampolín. Mientras sube, a una altura h sobre el trampolín, recoge a un mono entrenado de masa m. ¿Cuál es la altura máxima que alcanzan el mono y el acróbata?

Answers

Answer 1

Answer:

La altura máxima que alcanzan el mono y el acróbata es [tex]z = \frac{1}{2}\cdot \left(\frac{M}{M+m} \right)\cdot v_{o}^{2}+\left(1-\frac{M\cdot g}{M+m} \right)\cdot h[/tex].

Explanation:

Asumamos que tanto el acróbata, el mono y el sistema acróbata-mono son conservativos y que el acróbata comienza su acción a una altura de cero. El estudio se divide en dos etapas: (i) El acróbata se dirige al mono, (ii) El acróbata recoge al mono y alcanzan una altura máxima.

Para resolver esta cuestión, nos valemos del Principio de Conservación de la Energía.

Parte I

La energía cinética traslacional inicial ([tex]K_{1,a}[/tex]) es igual a la suma de la energía cinética traslacional final ([tex]K_{2, a}[/tex]) y la energía potencial gravitacional final ([tex]U_{g,2,a}[/tex]).

[tex]K_{1,a} = K_{2,a} + U_{g,2,a}[/tex] (1)

[tex]\frac{1}{2}\cdot M \cdot v_{o}^{2} = \frac{1}{2}\cdot M\cdot v_{1}^{2} + M\cdot g \cdot h[/tex] (1b)

Donde:

[tex]M[/tex] - Masa del acróbata.

[tex]g[/tex] - Constante gravitacional.

[tex]v_{o}[/tex] - Rapidez inicial del acróbata.

[tex]v_{1}[/tex] - Rapidez del acróbata justo antes de recoger al mono.

[tex]h[/tex] - Altura inicial del mono.

Parte II

La suma de las energías iniciales cinética traslacional ([tex]K_{2, a}[/tex]) y potencial gravitacional de acróbata ([tex]U_{g,2,a}[/tex]) y la energía inicial potencial gravitacional del mono ([tex]U_{g,2,m}[/tex]) es igual a la suma de las energías potenciales gravitacionales iniciales del sistema acróbata-mono ([tex]U_{g,3,a+m}[/tex]), es decir:

[tex]K_{2,a} + U_{g,2,a}+U_{g,2,m} = U_{g,3,a+m}[/tex] (2)

[tex]\frac{1}{2}\cdot M\cdot v_{1}^{2} + (M+m)\cdot g \cdot h = (M+m)\cdot g \cdot z[/tex] (2b)

Donde:

[tex]m[/tex] - Masa del mono.

[tex]z[/tex] - Altura máxima del sistema acróbata-mono.

De (1b) tenemos que la rapidez del acróbata justo antes de recoger al mono es:

[tex]\frac{1}{2}\cdot M \cdot v_{o}^{2} = \frac{1}{2}\cdot M\cdot v_{1}^{2} + M\cdot g \cdot h[/tex]

[tex]v_{o}^{2} = v_{1}^{2}+2\cdot g\cdot h[/tex]

[tex]v_{1} = \sqrt{v_{o}^{2}-2\cdot g\cdot h}[/tex]

Finalmente, la altura máxima alcanzada por el sistema acróbata-mono es:

[tex]\frac{1}{2}\cdot M\cdot v_{1}^{2} + (M+m)\cdot g \cdot h = (M+m)\cdot g \cdot z[/tex]

[tex]z = \frac{M\cdot v_{1}^{2}}{2\cdot (M+m)\cdot g}+h[/tex]

[tex]z = \frac{1}{2}\cdot \left(\frac{M}{M+m} \right)\cdot (v_{o}^{2}-2\cdot g\cdot h)+ h[/tex]

[tex]z = \frac{1}{2}\cdot \left(\frac{M}{M+m} \right)\cdot v_{o}^{2}+\left(1-\frac{M\cdot g}{M+m} \right)\cdot h[/tex]

La altura máxima que alcanzan el mono y el acróbata es [tex]z = \frac{1}{2}\cdot \left(\frac{M}{M+m} \right)\cdot v_{o}^{2}+\left(1-\frac{M\cdot g}{M+m} \right)\cdot h[/tex].


Related Questions

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Deposition is the process in which sediments, soil and rocks are added to a landform or landmass. When previous weathers surface material , is deposited to a building layer of sediment .

IF SOMEONE CAN'T FIND THE ANSWER I WILL COMMIT ARSON PLEASE HELP MEE
Brainliest + random amount of points please help me It's a crossword

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Answer:

Freefall

Explanation:

Hi the answer is freefall, hope this helps :)

Un cuerpo cuya masa es de 20 kg se lleva primero a la luna y luego a marte. Teniendo en cuenta el factor que liga masa y peso en marte es de 3,8 N/Kg

Answers

Answer:

W = 76 N

Explanation:

In this exercise you are asked to find the weight of the body.

Mass is a quantity that is invariant, it measures the same everywhere, the weight depends on where it is measured, a simple way to find the weight of a body is

          W = g m

where g is the constant of the place, in this case we have the weight of the body on Mars and its mass which is constant on Earth and on Mars

            W = 3.8 20

            W = 76 N

Which of the following decreases the dissolving rate of a solid in water?

A.
crushing the solid

B.
raising the temperature

C.
using larger pieces of solid

D.
stirring constantly

Answers

It can’t be b because that will increase the dissolving rate

Answer:

Answer is C

Explanation:

Using larger pieces of the solid creates more area for dissolving therefore causing the decrease in dissolving...

Hope this helps

The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wheel has a diameter of 150m and takes approximately 30 minutes to make a full circle. Determine the speed of the riders (in m/s) on the Singapore Flyer.

Answers

Answer:

The speed of the riders on the Singapore Flyer is approximately 0.262 m/s

Explanation:

The dimensions of the tallest Ferris wheel in the world are;

The diameter of the Ferris wheel, D = 150 m

The tine it takes the Ferris wheel to make a full circle, T = 30 minutes = 30 min × 60 s/min = 1,800 seconds

The angular velocity of the Ferris wheel, ω = 2·π/T

The linear velocity of the Ferris wheel, v = r·ω = The speed of the riders

Where;

r = The radius of the Ferris wheel = D/2

D = 150 m

∴ r = 150 m/2 = 75 m

∴ v = r·2·π/T

∴ v = 75 m × 2 × π/(1,800 s) ≈ 0.262 m/s

The speed of the riders on the Singapore Flyer, v ≈ 0.262 m/s

A KG object has a speed of 24 M/S if it has 14 J of kinetic energy what is the mass

Answers

k.E=1/2mV2
14=1/2 m(24)^2
14=m576/2
14*2=m576
28/576=m
m=0.048 kg

If a cat falls off a ledge, the Earth pulls the cat to the ground with the force of gravity. According to Newton's Third Law there must be a reaction force. What is that reaction force?
A. The cat pulls on the Earth
B. The cat’s acceleration is decreased by air resistance
C. The Earth hits the cat
D. The cat falls to the ground
E. The cat hits the Earth

Answers

Answer:

The answer Is B.

Explanation:

The cats acceleration is decreased

by air resistance.

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THE
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Students are asked to create a model that shows the components that help an organism process sensory input.
Organize the components in order from simplest to more complex that help an organism process sensory input.
brain
nervous system
brain tissue
nerve cell

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Brain brain tissue nerve cell nervous tissue

Stress is __________.
A.
positive or negative, depending on circumstances
B.
a body's automatic physical response
C.
a negative reaction to outside influences
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A and B only

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Answer:

(A)

Explanation:

Depending on the circumstances, there are such things called good stress and bad stress.

Electrical potential is measured in units called what

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Answer:

Electrical potential is measured in units called volts.

An atom's atomic mass (mass number) is its number of

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Answer:

Is equal to the sum of the number of protons and neutrons in the nucleus.

Explanation:

A man digs a hole in the soil next to a bush. How does the shovel make work easier for the man digging the hole? Check all that apply. The shovel changes the direction of the force the man applies. The man can apply less force. The man has to apply more force. The force applied by the end of the shovel decreases. The force applied by the end of the shovel increases.

Answers

Answer:

Following are the solution to the given points:

Explanation:

The shovel shifts the course of the man's force.

Man can use less power.

The strength at the end of the shovel is growing.

Its shovel is a tool that is used to excavate and transfer its large particles. This streamlines the job for all the men to find the pit.

Its machines modify their method that uses force. Its man must therefore use less force to lift the bulk material.

Answer:

The shovel changes the direction of the force the man applies.

The man can apply less force.

The force applied by the end of the shovel increases.

(a,b,e)

Explanation:

edge 2021

2. 3. 4. 5. 6. 7. A(n)results when a vehicle loses part or all of its grip on the road. is a technique that can be applied when trying to move your vehicle out of deep snow. The action of a vehicle's rear end sliding out to a side is called a(n) is a technique of reducing your speed as quickly as possible while maintaining control of your vehicle. Driving at a speed where the stopping distance of your vehicle is longer than the distance you can see with your headlights is called occurs when a tire loses road surface contact and rises on top of water. It is a(n)when your front tires begin 1 18 1 1 to plow and your vehicle is not responding, or not responding as quickly as it should, to a steering input.

Answers

Answer:

1) Skid

2) Rocking

3) Oversteer situation

4) Controlled breaking

5) Overdriving headlights

6) Hydroplaning

7) Understeer situation

Explanation:

1) A skid results when a vehicle loses part or all of its grip on the road

2) Rocking is a technique that can be applied when trying to move your vehicle out of deep snow

3) The action of vehicle's rear end sliding out to a side is called an oversteer situation

4) Controlled breaking is a technique of reducing your speed as quick as possible while maintaining control of your vehicle

5) Driving at a speed where the stopping distance of your vehicle is longer than the distance you can see with your headlights is called overdriving headlights

6) Hydroplaning occurs when a tire loses road surface contact and rises on top of water

7) It is an understeer situation when your front tires begin to plow and your vehicle is not responding or not responding as quickly as it should, to a steering point

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Answers

Answer:

C. it makes vegetation grow out of control

Explanation:

please mark this answer as brainliest

If it takes 35J to lift up an object to some height, then how much gravitational potential energy will that object have?

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35j because if it takes so much to lift it’s that much pullin down

Help pls sand quickly plssssss

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Answer:

The magnet produces an electric current in the wire

Explanation:

Answer: the first one is right

Explanation:

7. A jogger runs three blocks south, two blocks east, 4 blocks north and
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Answers

Answer:

11 blocks

Explanation:

distance is adding up the numbers while displacement is the difference in starting and ending points

Can some one help me ;-;

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Answer: The first answer for the first problem, and the 2nd answer for the second problem

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For the second one, the temperature of the sample will increase due to the movement.

Car accelerates uniformly from 22.5 m/s to 46.1 m/s in 2.47
seconds. Determine the acceleration of a car.

Answers

a=Vf-Vi/t
a= 46.1-22.5/2.47
a=23.6/2.47
a=9.55m/s2

An object travels a distance d with acceleration a over a period of time t according to the equation: d = at² After 2.3 seconds with an acceleration of 9.8 m/s2, how far does an object travel (rounding the answer to two significant figures)?​

Answers

Answer:

A 26m

Explanation:

firstly the answer will not be part c as distance unit will be meters (m)

next, substitute the values of a and t as shown

[tex]\frac{1}{2} (9.8)(2.3)^2 = 25.921[/tex]

the answer rounded off to 2 significant figures will be hence 26m

Help hurry help pls it’s timed

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I think it's the yellow one

Question 5 of 10
What happens when a loop of wire turns between two permanent magnets in
a generator?
A. A current flows through the loop of wire.
O B. Electrical energy transforms into mechanical energy.
O C. A current flows through the permanent magnets.
D. Mechanical energy transforms into electromagnetic radiation.

Answers

Answer:

B. Electrical energy transforms into mechanical energy.

Explanation:

In the case when the wire loop transforms between the two permanent magnets in a generator so here the electrical energy turns to mechanical energy as there is a working principle behind the generator that the electrical energy would turns into mechanical energy

Therefore as per the given scenario, the option b is correct

And, the rest of the options are wrong

Which is the best description of a high pressure system?



A.
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B.
Air warms and rises.

C.
Air cools and sinks.

D.
Air warms and sinks.

Answers

Answer:

The Answer is gonna be B.

Air warms and rises.

Ingrid says that a red ball of clay appears red because the clay reflects red wavelengths. Simon says that the clay appears red because it allows red wavelengths to pass through it.

Which statement best explains who is correct?

Ingrid is correct. The clay appears red because it reflects red wavelengths.
Ingrid is correct. The clay appears red because it is a type of matter.
Simon is correct. The clay appears red because it allows red wavelengths to pass through it.
Simon is correct. The clay appears red because it is a solid.

Answers

Answer: (A) Ingrid is incorrect. The clay appears red because it reflects red wavelengths.

Explanation:

Edge 2021

Ingrid is correct. The clay appears red because it reflects red wavelengths.

Hence option A is correct.

What is wave ?

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave. Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a Transverse wave.

Ingrid says that a red ball of clay appears red because the clay reflects red wavelengths. this statement is true.

Hence option A is correct.

To know more about absorption :

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What kind of energy does an electromagnet use to pick up metallic objects?

Answers

Answer:

Magnetic energy is used by an electromagnet  to pick up metallic objects

Explanation:

An electromagnet generates its own magnetic field in presence of electric current.

As an electric current is induced in an electromagnet , it  magnetic dipole arrange themselves in order to behave as a magnet and hence generate magnetic field with a proper north and south. This leads to attraction of metallic object.

Hence, it can be said that Magnetic energy is used by an electromagnet  to pick up metallic objects

What does it take to be classified as a rouge wave

Answers

Answer: A 'rogue wave' is large, unexpected, and dangerous.

At the time, surface winds were light at 15 knots. ... Most reports of extreme storm waves say they look like "walls of water." They are often steep-sided with unusually deep troughs.

Explanation:

Answer:

Rogues, called 'extreme storm waves' by scientists, are those waves which are greater than twice the size of surrounding waves, are very unpredictable, and often come unexpectedly from directions other than prevailing wind and waves.

Focus Question: How are physical properties used to compare and classify substances?​

Answers

Answer:

Properties that can be determined without changing the composition of a substance are referred to as physical properties. Characteristics such as melting point, boiling point, density, solubility, color, odor, etc. ... Physical and chemical properties can be used to classify a substance as ionic or molecular.

Explanation:

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3. A large crane lifts a 25,000 kg mass in the air. The amount of work that must be done by the
crane's lifting components is 2.2 X 10'J (Wo). If the efficiency of the crane is 22%, how much
useful work is done on the mass (Wou)?

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Efficiency.

Here we can see that, the Input work is given as 2.2 x 10^7 J and the efficiency is given as 22%

The efficiency is => 22% => 22/100.

so we get as,

E = W(output) /W(input)

hence, W(output) = E x W(input)

so we get as,

W(output) = (22/100) x 2.2 x 10^7

=> W(output) = 0.22 x 2.2 x 10^7 => 0.484 x 10^7

hence, W(output) = 4.84 x 10^6 J

The useful work done on the mass is 4.84 x 10^6 J

 Find the average acceleration of a northbound subway train that slows down from 12 m/s to 9.6 m/s in 0.8 seconds.​

Answers

Answer:

[tex]a=-3\ m/s^2[/tex]

Explanation:

Given that,

Initial speed of a train, u = 12 m/s

Final speed of a train, v = 9.6 m/s

Time taken, t = 0.8 s

We need to find the average acceleration of the train. We know that the rate of change of velocity is equal to acceleration. So,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{9.6-12}{0.8}\\\\a=-3\ m/s^2[/tex]

So, the average acceleration of the train is equal to [tex]-3\ m/s^2[/tex].

I’m offering 15 points for this 1 multiple choice question. The answer is not D. Pls answer, though I think I know the the answer, but I just want to make sure.

Answers

Answer:

I wanna say C

Explanation:

because A would be getting it nowhere and B would just take more time but when you use C it would be the greatest force.

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