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

Explain retrograde motion and why it confused early astronomers as they viewed the motion of objects in the sky.

Answers

Answer:

Explanation:

Retrograde motion in astronomy is, in general, orbital or rotational motion of an object in the direction opposite the rotation of its primary, that is, the central object (right figure). It may also describe other motions such as precession or nutation of an object's rotational axis. Prograde or direct motion is more normal motion in the same direction as the primary rotates. However, "retrograde" and "prograde" can also refer to an object other than the primary if so described. The direction of rotation is determined by an inertial frame of reference, such as distant fixed stars.

Retrograde motion occurs when a planet far from another planet and from which it is seen rotates at lower speed, creating the impression that it is "retrograding" with respect to the other planet.

Early astronomers get confused as they viewed the motion in the sky because they tried to explain it in terms of the geocentric theory.

Let suppose that we have a planetary system formed by a star and two planets rotating uniformly around the star. Besides, we assume that both planets are rotating at different velocities, and that planet A is more far away from the star than planet B, then the velocity of the planet A relative to planet B is:

[tex]\vec v_{A/B} = \vec {v}_{A}- \vec {v}_{B}[/tex] (1)

A retrograde motion of planet A occurs when [tex]\|\vec v_{A/B}\|\ne 0[/tex] and if [tex]\|\vec v_{A}\| < \|v_{B}\|[/tex] at least. In other words, retrograde motion exists when speed of planet A is less than speed of planet B, creating the impression that planet A is "retrograding" with respect to planet B.  This question is easy to solve and to explain by considering the star as an inertial framework, base of the heliocentrical model.

Early astronomers were confused and unable to explain the phenomenon due to their adherence to geocentrical model, which assumed the Earth was the center of the solar system.

We kindly invite to check this question on retrograde motion: https://brainly.com/question/13586212

Waldo needs to know how much force to apply in order to move a 4000-kg object at 2 m/S2. Which law should he refer to
A.
law of gravity
B.
second law
C.
third law
D.
first law

Answers

bebe xd mexico gana siempre

A copper atom has an atomic number of 29 and an atomic mass of 64. What
is the structure of this atom?
A. It has a central nucleus composed of 29 protons and 64 neutrons,
surrounded by an electron cloud containing 29 electrons.
B. It has a central nucleus composed of 35 protons and 29 neutrons,
surrounded by an electron cloud containing 29 electrons.
O C. It has a central nucleus composed of 29 protons and 35 neutrons,
surrounded by an electron cloud containing 29 electrons.
OD. It has a central nucleus composed of 29 protons and 29 neutrons,
surrounded by an electron cloud containing 35 electrons.

Answers

Answer:

The answer is B.

Explanation:

It has a central nucleus composed of 29 protons and 35 neutrons, surrounded by an electron cloud containing 29 electrons.

MIDDLE SCHOOL: What are the three types of energy used when cleaning? (Please write them in order of occurrence)

Answers

Answer:

Chemical, mechanical, thermal i guess

Flossie blew a tire 5 minutes into the second leg, up to that point she had traveled 10 km making her speed 2 km/m. It took 2 minutes to fix her tire. Flossie had to finish within 2 minutes in order to stay even with the evil Mabel. If Flossie had 8 km left what speed will she need to win?

Answers

Answer:

4km/m

Explanation:

She was going at 2km/m, so 2 kilometers per minute. She has 2 minutes therefore she needs to double her rate to 4 kilometers per minute.

True or False? Index Fossils are used to help constrain the relative age of the rocks in an area?

Answers

The answer to this question is True

One of the most dangerous side effects of an erupting volcano is a

Answers

Answer:

One of the most deadly effects of a volcano is the ash coming from the eruption, which carries poisonous gases that are harmful to humans, plants, and animals alike.

Explanation:

:))))))))

If the two forces on an object are equal in size and opposite in direction, the forces are balanced, and no change
in motion results. Which of the following situations is an example of balanced force acting upon an object?
O A rope being pulled from both sides with equal force
O An 11-gram pen falling off a table onto the floor
O A car moving constantly at 30 miles per hour
O A rock accelerating as it rolls down a hill

Answers

Answer:

a rope being pulled from both sides with equal force

Explanation:

:)

7. Your friend shows you a special kind of paper that can change color. He says that it will change
color if it is out in the sun. Can light from the sun cause the paper to change color?
a
Yes. Light from the sun can pull energy out of the paper, causing it to change color.
b
Yes. The paper can take in energy from the light, causing it to change color.
С
No. Light is not a physical thing, so it cannot change physical things like paper.
d
No. Light can only change things by warming them up, so it cannot cause the paper to
change color.

Answers

Answer:

d no light can only change things by warming them up , so it cannot cause the paper to change colur

What is sin(77°)? plz help​

Answers

Answer:

Value of Sin(77 degree) = 0.97437006

Degree / Radian Function

(angle in degree) (angle in radian) Sin Cos Tan Cot Sec Cosec SinH CosH TanH CosecH SecH CotH Arc Sin Arc Cos Arc Tan Arc Cosec Arc Sec Arc Cot

how dose storing waste underground can be effected by ground water in aquifers

Answers

Answer:

it can contaminate the water

Explanation:

I hope this helps ;)

A 1,100kg car is going at 22 m/s. What force is needed to stop it in 20
seconds?

Answers

F=ma

for a Velocity/time
22/20
1.1

F=1.1. * 1100
F=1210newton

A 1,100 kg car is going at 22 m/s. Force is needed to stop it in 20

seconds is 1210 N.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Using equation of motion,

v = u +  at

0 = 22 + a.20

a = 1.1 m/sec²

force = mass.acceleration

force = 1100.(1.1)

force = 1210 N.

A 1,100 kg car is going at 22 m/s. Force is needed to stop it in 20

seconds is 1210 N.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

A truck skids for a distance of 25m with the road pushing on its tires with force of 1500N as its brakes are applied. What is the change in kinetic energy for the truck?

Answers

Answer:

37500 J

Explanation:

Law of conservation of energy: Its states that energy can neither be created nor destroyed but it can be transformed from one form to another.

Applying the law of conservation of energy.

The change in kinetic energy for the truck  =  Net work done by the truck skids

ΔK.E = F×d.................... Equation 1

Where ΔK.E = Change in kinetic energy, F = Force, d = distant.

Given: F = 1500 N, d = 25 m

Substitute these values into equation 1

ΔK.E = 1500×25

ΔK.E = 37500 J

Name two things that Arjun and Diya did to get accurate measurements of the angles in their experiment

Answers

Answer:

i dont know them

Explanation:

What is the question. What angle?

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

Answers

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

Ayala is making salad dressing. She mixes oil and vinegar in a blender until a smooth consistency is formed. Explain whether this is a heterogeneous or a homogeneous mixture and why

Answers

Answer:Hetero

Explanation: Honestly, same as the last guy said

pls help Which one of the following is NOT acceleration
A.
a change in mass
B.
a change in direction
C.
an increase in velocity
D.
a decrease in velocity

Answers

Answer:

C

Explanation:

Am increase in velocity?

Answer:

change in mass is not acceleration

Ammonia is a common____?

Answers

Answer:

Base

Hope this helps! :)

Ammonia (NH3) is a common toxicant derived from wastes (see Figure 1), fertilizers and natural processes. Ammonia nitrogen includes both the ionized form (ammonium, NH4+) and the unionized form (ammonia, NH3). ... Temperature also affects the toxicity of ammonia to aquatic life.

Calculate the weight of a 2.3 kg squirrel

Answers

Answer:

Lemme think rq

*inserts writing noises*

*insert intese thinking*

*insert big brain moment*

Well the weight IS 2.3 kg so I think the weight of a squirrel is 2.3 kg

Your spaceship has run out of fuel and comes to a halt halfway between the earth and the moon. Will you and your spaceship (a combined mass of 5000 kg) fall towards the moon or towards the earth? Show calculations to support your answer.

Answers

Answer:

moon

Explanation:

cause yes


Which objects generate magnetic fields? Choose more than one
answer.

Magnet

Electric wire with no
current

Electric wire with current

Electromagnet

Paper clip

Metal coin

Answers

1,3,4 ...............

magnets' persistent magnetic fields.Things that create their own persistent magnetic fields are known as permanent magnets.They have a north and a south pole and are built of magnetized ferromagnetic elements, such as iron and nickel.

More than one solution to the question "what causes a magnetic field?"

may be true.Charged particles that are in motion produce all magnetic fields.Due to the continually moving electrons inside, even the magnet on your refrigerator is magnetic. A magnetic field is produced along the axis of a wire loop by a current flowing through it.Curling the fingers of the right hand in the direction of the current through the loop and pointing the thumb in the direction of the magnetic field will reveal the direction of the field inside the loop. The magnetic field strength of an electromagnet or solenoid, depends on the number (N) of coil turns, the strength of current flowing through the coil in amperes, and its length L. This gives us: H = (NI)/L where NI represents the ampere-turns value.Items made of iron, cobalt, nickel, and steel are drawn to magnets.Paperclips are magnetic because they are often constructed of galvanized steel wire. Any of the following techniques can create a magnetic field:I Any type of magnet, including round, horseshoe, and bar magnets, may be employed.(ii) A current-carrying wire generates a field all around it.(iii) A current-carrying loop or solenoid Electric charges in motion are what generate magnetism.The smallest building blocks of matter are called atoms.There are electrons in every atom, which are charged particles.The electrons that make up an atom's nucleus, or core, spin like tops. Ampere noted that whenever an electrical charge is moving, a magnetic field is created.Similar to how an electrical current flowing through a wire creates a magnetic field, the spinning and circling of an atom's nucleus accomplishes the same.The magnetic field's orientation is determined by the spin and orbit directions. There are only two ways to create a powerful magnetic field.In the first, a solenoid is used, whereas in the second, a solenoid with an iron core is used. Magnetic materials found in nature are connected to magnetic fields.Instead of static charges, a magnetic field can be produced by moving charges.F = QVB, where Q is the charge and V is the charge's velocity perpendicular to the field B, describes the force acting on moving charges in a magnetic field.

       To learn more about magnetic field refer

      https://brainly.com/question/14411049

       #SPJ2

A 15-meter length of aluminum wire is at 20 degrees C. The radius of the wire is 4.2 x 10-4 meters. What’s the resistance of the wire?

Answers

Answer:

Idek figure it out

Explanation:

Why u so lazy?

An electric toy with a resistance of 2.50\,\Omega is operated by a 3.00\,\text{V} battery. (c) How much energy was delivered to the toy [over four hours]?

Answers

Answer:

Energy = 51840 J = 51.84 KJ

Explanation:

The electrical energy delivered to the toy can be found out by the following formula:

[tex]Energy = (Power)(time)\\Energy = (VI)(t)\\Enegry = VIt\\[/tex]

where,

V = Voltage = 3 V

R = Resistance = 2.5 Ω

I = Current = V/R (Ohm's Law) = 3 V/2.5 Ω = 1.2 A

t = time = (4 h)(3600 s/1 h) =  14400 s

Therefore,

[tex]Energy = (3\ V)(1.2\ A)(14400\ s)\\[/tex]

Energy = 51840 J = 51.84 KJ

NO LINKS!!!!!! Help its urgent, PLEASE HELP!!!!!!!!!!!!!!!!

Answers

Answer:

I think ur answer would be B

Explanation:

srry if wrong

hope this helps

If a chemical reaction has a AH value of -125 kJ, it would be considered what?

Answers

Answer:  

Exothermic Reaction  

Explanation:  

ENDOTHERMIC REACTION: A chemical reaction is considered endothermic if the energy is absorbed during the reaction. In other words, if the energy is required by the reactants to proceed with the reaction, then the reaction is endothermic.

The value of enthalpy change ΔH is positive in such reactions showing intake of energy.

EXOTHERMIC REACTION: A chemical reaction is considered exothermic if the energy is released during the reaction. In other words, if the energy is produced as a product of the reaction, then the reaction is exothermic.

The value of enthalpy change ΔH is negative in such reactions showing the release of energy.

Since, the value of ΔH = -125 KJ, is negative for the given reaction.

Therefore, it would be considered as Exothermic Reaction.

PLZ HELPPPPP (NO BS)​

Answers

Answer:

its kainda blurry aploude another pic

Answer:

2

Explanation:

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

Answers

Answer:

(A)

Explanation:

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

Which of these are part of the electromagnetic spectrum?

Question options:

gamma rays


visible light


microwaves


sound waves


radio waves

Answers

Answer: A, C, E

Explanation:

Gamma rays, Microwaves, and Radio waves

everything except visible light.

Which of the following is not a unit of volume?
A. L

B. mL

C. m^3
​​

D. cm^2
​​

Answers

Cm2 it is unit of area not volume

Explanation:

D. cm^2

It's a unit for quadruple centimeters. All of the others are used to charge the amount of water in a specific bowl etc.

how to do this please​

Answers

Answer:

  1) see the diagram below

  2) (b) the length of the wire being tested

Explanation:

1) An ammeter is connected in series with the circuit branch in which you want to measure current. "Conventional current" enters the positive terminal of the ammeter. (You can think of it as a voltmeter across a small resistor. The polarity of the voltage matches the polarity of the current.)

A voltmeter is connected in parallel with the circuit element of interest. Here, you want to measure the voltage across the wire, so the voltmeter is placed in parallel with the wire. The positive terminal of the voltmeter is connected to the end of the circuit element that has the higher (more positive) potential.

__

2) The wording of the problem tells you which variable is independent:

  "A varies with B" means the independent variable is B

Here, the independent variable is the length of the wire.

Other Questions
Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression. Intitial set up equation:Final equation (\angle of depression = ) Which shapes make up this composite figure?A cylinder and 2 half spheres.a cylinder and a conea cylinder and two conesa half sphere, a cylinder, and a conea sphere and a cylinder Prior to becoming President, what wasDwight D. Eisenhower's position?A. Commanding Admiral of the Pacific FleetB. Supreme Allied Commander of the Allied ForcesC. Vice President to Harry Truman What gas in the air is used by plants to make their own food? (2 points)NitrogenWater vaporCarbon dioxideOxygen Select the correct answer.What has affected almost every aspect of modern sports?A.technology.InjuriesC. politicsD.weather Which statements about Saddam Hussein are accurate? Check all that apply.1-He was a dictator.2-He was president of Iran.3-He was overthrown.4-He invaded Iraq in 1980.5-He committed war crimes. Ellos ____ tres hermanos.tenemostienentiene Describe the movement of the plates at a divergent boundary Classify the following polynomial by the degree and number of terms.2x3+3x2-5x+20 I will give brainliest for correct answer please help me out, thank you so much whoever does :))) ( I have a couple of questions and I don't want to make separate ones and waste points)Q1. A large can of soup contains 19 fl. oz. A serving is about 8 oz. How many cans should you buy if you want to serve 7 people?Q2. A container of strawberry ice cream holds 36 fl. oz. A container of chocolate ice cream holds 2 pt. Which one has more ice cream? How much more? Q3. A day-care worker wants to give 15 children each 6 fl.oz. of milk. How many quarts of milk does she need?Q4. This morning, the day-care supervisor bought 3 gal. of milk. the kids drank 2 gal. 3 c. How much milk is left for tomorrow?Q5. Harriet bought 3 gal. 2 qt. of paint for her living room. She used 2 gal. 3 qt. How much paint is left over?Q6. Jason's favorite punch takes a pint of raspberry sherbet. If he wants to make 1 1/2 times the recipe, how many fl. oz. of sherbet does he need? Solve the equation for x:2(x+3)12=18 How are they alike and different? Be sure to use specific examples from the text to support your claims. Why do you think O. Henry chose the twenty-year rendezvous in New York as the setting? Which statement best explains why ice cubes will melt in a glass of tea?The tea becomes saturated.The ice cubes gain energy.The teas freezing point increases.The ice cubes melting point decreases. Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake? How might the excess water pollution in the Yangtze and other major rivers in Southern and Eastern Asia affect the economies in these countries?Group of answer choicesPolluted water that is used can cause major health issues and create huge medical costs which is money that could have been spent on something else.Agriculture has all but stopped due to farmers not wanting to use polluted water.none of these statements are truePolluted water is actually a good resource for dumping industrial waste which helps industries. what two spheres are interacting when ocean water evaporates into the air1. geosphere2. hydrosphere3. atmosphere 4. biosphere PLEASE HELP MEEEE A woman is laying on the ground relaxing and looking up at a plane that is passing by. If the planes altitude is 30,000 feet and the womans eyes are located 13,800 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the womans line of sight to the plane? US companies are prohibited from trading or doing business with __________. A. Brazil B. Mexico C. Colombia D. Cubanevermind its D What is the frequency of a wave with a period of 8s?