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

2. Why is alcohol thermometer not suitable to measure high temperature?​

Answers

Answer:

Alcohol thermometers are used rather than mercury thermometers in very cold regions because alcohol has a lower freezing point than mercury. Pure ethanol freezes at -115 degrees C, while mercury freezes at -38 degrees C.

Explanation:

It is less durable because alcohol evaporates faster than mercury. It cannot measure high temperature because of a low boiling point. It wets the walls of the thermometer, which can adversely impact the accuracy of readings

So what is 27+22? Is it
A 8338
B 8282
C 8228
D 8234

Answers

Answer:

You put the add sign, so it would be 49. I don't believe that is what you meant to put though.

Explanation:

i gotchu, 27+22 so you take the 8 and multiply that by the number of times you blink every 2 minutes and then divide that by 0×1 and carry the 3 and that gives you -7

The carbon cycle relies on producers and consumers to survive. What is the role of each in the carbon cycle?

Answers

ANSWER: (ROLE of Producers in the cycle:totake in carbon dioxide from the atmosphere during photosynthesis and release carbon dioxide during respiration,ROLE of Consumers:to contribute to the carbon cycle when they perform respiration and expel carbon dioxide into the atmosphere)
Hope this Helps SOMEONE!!
,Thank you

what is conservation of energy in physics?

Answers

Answer:

https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy

Explanation:

Look at this website it gives you all the details! :)


A dog sits on a flat surface. If the dog has a mass of 13 kg, what is the normal force acting on it?
85 N
13 N
127 N
41 N

Answers

Answer:

127

Explanation:

f(n)=mg

(13)*(9.81)

127.4N

will give Brianliest answer. help.

consider a collusion in one dimension that invoves two objects of masses 4.5 kg and 6.2 kg the larger mass is originally at rest, and the smaller mass has an initial velocity of 16 m/s [E]. the final velocity of the larger object is 10.0 m/s [E]. calculate the final velocity of the smaller object after the collision.​

Answers

Answer:6.2

Explanation:

PLZZ HELP ME PLZ I NEED YALL HELP WITH THIS LAST QUESTION

Answers

Answer:

The 5 Forces

Explanation:

The five forces that influence wind speed and direction are: Pressure gradient force (flow from high to low pressure) Coriolis force (apparent deflecting force due to the rotation of the Earth) Turbulent drag (Earth's surface or objects like trees or grass resist air flow and decrease wind speed near the ground)

Forces at a Distance
Use Equation: e-r/T
If the distance between the two foci in an orbit is 4 AU, and the length of the major axis is 9 AU, what is the eccentricity of the orbit?

O 0.888
O 0.222
O 2.25
O 0.444

Answers

I think it’s the third answer your Welcome mark me brainliest please

When the Asthenosphere transfers heat, what happens?

Convection Currents, Earthquakes, volcanic eruptions, or weathering?

Answers

The hot rock flows along the bottom of the lithosphere, transferring its heat to the cold rocks by conduction.

NO LINKS OR UNUSEFUL ANSWERS
What is the trade off between the input and output forces when someone uses a screw?

Answers

It is the ratio of the output force to the input force. ... The trade-off is that more turns of the screw are needed to do the job because the distance over which the input force must be applied is greater.

Water is a great conductor of electricity. True or False

Answers

Answer:

False

Explanation:

Think about every warning on electrical products, which is 'DO NOT KEEP NEAR WATER'

Answer:

FALSE

Explanation:

Pure water is not a good conductor of electricity. ... Because electrical current is carried by ions in solution, conductivity increases as the ion concentration increases. In such a way, that the conductivity when water dissolves ionic compounds.

what is the difference between storm spotter and storm chaser?

Answers

Answer:

this is just a guess

Explanation:

a storm spotter only spots the storm and a storm chaser looks for the storm????

Which statement compares the strengths of electric forces between particles of matter?

Please don't just guess for points, if your answer is wrong i'll report it.
A. Hydrogen bonds are stronger than ionic bonds but weaker than Van der Waals forces.
B. Metallic bonds are stronger than hydrogen bonds but weaker than ionic bonds.
C. Hydrogen bonds are weaker than Van der Waals forces but stronger than metallic bonds.
D. Metallic bonds are weaker than hydrogen but are stronger than ionic bonds.

Answers

B. Metallic bonds are stronger than hydrogen bonds but weaker than ionic bonds.

The statement is discussing the relative strengths of different types of electric forces that can exist between particles of matter.

Metallic bonds are formed by the sharing of electrons between atoms in a metal, and are considered relatively strong. Hydrogen bonds are formed between molecules that contain hydrogen and are relatively weak compared to metallic bonds.

Ionic bonds are formed between positively and negatively charged ions and are generally considered to be the strongest of these three types of bonds. Thus, the statement concludes that metallic bonds are stronger than hydrogen bonds but weaker than ionic bonds in terms of their relative strengths.

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A commercial jet liner takes off with an average acceleration of 3 g. How long does it take to reach the end of its runway which is 1524 meters away?

Answers

Answer:

The time taken for the commercial Jet liner to reach the end of its runway is 10.18 s.

Explanation:

Given;

average acceleration of the commercial Jet liner, a = 3g = 3 x 9.8 m/s² = 29.4 m/s²

distance traveled by the commercial Jet liner, s = 1542 m

The time taken for the commercial Jet liner to reach the end of its runway is calculated as follows;

s = ut + ¹/₂at²

where;

u is the initial velocity of the commercial Jet liner = 0

s = 0 + ¹/₂at²

s = ¹/₂at²

2s = at²

[tex]t = \sqrt{\frac{2s}{a} } \\\\t = \sqrt{\frac{2 \times 1524}{29.4} } \\\\t = 10.18 \ s[/tex]

Therefore, the time taken for the commercial Jet liner to reach the end of its runway is 10.18 s.

A meteor moving through space speeds up as it gets closer to Earth. What force causes the meteor's speed to increase the closer it gets to Earth?

PLS Help

Answers

Answer:

gravity

Explanation:

its hard to explain its one of the resons we do gravity assists for space probes and such the meteor will catch earths gravity and be pulled in by it if you look at sednas orbit as it gets closer to the sun it speeds up.

The force that causes the meteor's speed to increase as it gets closer to Earth is the gravitational force of earth.

What is meant by gravity ?

Gravity is defined as the force by which a planet attracts another body towards its center.

Here,

The meteor was moving through space and the speed of the meteor started increasing as it moves closer to the earth.

This is because of the gravitational force of earth that is being exerted on the meteor. Gravitational force of earth is defined as the force of attraction that the earth exerts on another body in its gravitational field and draws them towards the center of the earth.

As the meteor moves towards the earth's , it gets accelerated by the earth's gravitational field such that the speed of the meteor increases and thus it attains more kinetic energy. As a result, the meteor moves faster when it gets closer to earth. This is because of the force of gravity of the earth.

Hence,

The force that causes the meteor's speed to increase as it gets closer to Earth is the gravitational force of earth.

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4. Given that the specific heat of copper is 385J/kg/K and if 81.2J of heat is applied to 17.8g of copper by how much will the temperature of the copper increase?

Answers

Answer:

11.85 k

Explanation:

11.85 k

1. Heat energy is also known as
energy.
?​

Answers

Heat energy is also called thermal energy.

Heat energy is also called thermal energy, also depending on its source it can also be photo energy

Sara travels east 6 miles and then goes south 3 miles and then north 8 miles. What is her displacement? Round
your answer to two significant figures.
a
Ob
6.3 miles SW
7.8 miles SW
0 miles
5.7 miles SW
7.8 miles NE
6.3 miles NE
od
Оe
Of
5.7 miles NE
Oh
9.1 miles sw
9.1 miles NE

Answers

Answer:

Explanation:

so her displacement is the distance from the start... she's now at a point (6,5) away from the start..  so what's the length of the side of the right triangle made by one side of 6 and the other of 5

Yes.. use Pythagoras theorem to solve this

C =  √([tex]6^{2}[/tex]+[tex]5^{2}[/tex])

C = √(36 + 25)

C = √61

C = 7.810  miles.. north east of where she started

C = 7.8 miles NE   :P

A girl runs 40m due south in 40 seconds an d then 20m due north in 10 secondsCalculate.
the average speed,
her average velocity .
in her change in velocity for the whole journey!​

Answers

The average speed of the girl is 1.2 m/s.

Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).

Given;

Total distance = 40 + 20 = 60 M

Displacement = 40 - 20 = 20 m south

total time = 40 + 10 = 50 seconds

Average speed =  total distance / total time

                          = 60/50

                          = 1.2 m/s

average velocity = total displacement / total time

                            = 20 / 50

                             = 0.4 m/s due south.

Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.

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anyone good at physics that can help me plss

Answers

what is the question ?

Answer:

Where is the question?

-_-

-_-

-_-

-_-

-_-

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 concept does the image above show?

Answers

there is no image??? i think you forgot it attach it

A family is driving from Vancouver to Calgary, a distance of 907.3 km. During the first 300 km, they average 92 km/h. They stop for lunch for 38 min. They arrive in Calgary 8 h and 21 min after their lunch break.. What was their average speed (in km/h) for the entire journey, including the break?

Answers

Answer:

89 i would say

Explanation:



Recommend An architect wants to design a conference room that
reduces noise coming from outside the room. Suggest some design
features that should be considered in this project.

Answers

Answer:

Install sound absorbers such as foam or acoustical panels

Explanation:

They could install some sound absorbers such as foam or acoustical panels in the walls, floors, and ceiling of the conference room.

A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measured to be 8.5 s. What is the height of the tower

Answers

Answer:

 L = 17.94 m

Explanation:

The angular velocity of a simple pendulum is

          w = [tex]\sqrt{ \frac{g}{L} }[/tex]

the angular velocity is related to the period

         w = 2π / T

we substitute

         [tex]\frac{4\pi ^2 }{T^2} = \frac{g}{L}[/tex]

         L = [tex]\frac{g T^2}{4 \pi ^2}[/tex]

let's calculate

         L = 9.8 8.5² / 4π²  

         L = 17.94 m

Can you please answer my question correctly ASAP​

Answers

Answer:

1) C, 2) C, 3) B, 4) D, 5) A/B, 6) D, 7) D, 8) A, 9) B, 10) A

Explanation:

1) Seconds, minutes and days are time units. (Correct answer: C)

2) The displacement is shortest distance between the point of origin and the point of destination. (Correct answer: C)

3) The velocity is the rate of change of position in time. (Correct answer: B)

4) Graphs are a very useful ressource to infer characteristics inherent to a studied physical variable. (Correct answer: D)

5) There are two possible answers, since both milimeters and meters are units for distance. (Correct answers: A/B)

6) The distance is the arc length of the entire path that object travelled. (Answer: D)

7) Traditionally, in a position vs. time graph we plot time in the x-axis. (Answer: D)

8) In this case, we use a distance-time graph, where travelled distance is the dependent variable and time is the independent variable. (Answer: A)

9) The point of origin is the initial position of the object. (Answer: B)

10) The point of destination is the final position of the object. (Answer: A)

A 1.3 kg book has 11.7 joules of potential energy relative to the floor when it's sitting on top of
Brenda's dresser. Calculate how tall Brenda's dresser is?

Answers

0.92 m. See the picture below

What is atomic composition

Answers

Answer:

The atom consists of a tiny nucleus surrounded by moving electrons. The nucleus contains protons, which have a positive charge equal in magnitude to the electron's negative charge. The nucleus may also contain neutrons, which have virtually the same mass but no charge.

Explanation:

8. An electric force F exists between two objects, both having thecharge, q. If the charge on one object is doubled to 2q, the force
between the objects becomes
A. 1/4 F
B. 1/2 F
C. 2F
D. 4F

Answers

the answer is A 1/4f because it is doubled to 2q and you need to flip it

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
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