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

BRAINLIEST TO THE CORRECT QUESTION

Answers

Answer:

the answer is B

visible light

Which of the following refers to the concentration of a substance?

A.the maximum amount of a solute that can be dissolved in a solvent at a given temperature

B.the minimum volume of solvent dissolved per liter of solution at a given pressure

C.the grams of solute dissolved per 100 g of solvent

D.the size of the particles that make up a substance

Answers

D!!!!!!!!!!!!!!!!!!!!!!!

The statement which refers to the concentration of a substance is the maximum amount of a solute that can be dissolved in a solvent at a given temperature. Thus, the correct option for this question is A.

What is a Substance?

A substance may be defined as a type of chemical element and its compounds in the natural state or the result of a manufacturing process. In a manufacturing process, a chemical reaction is usually required in order to form a substance.

The concentration of a substance is the quantity of solute present in a given quantity of solution. Concentrations are usually expressed in terms of molarity, defined as the number of moles of solute in 1 L of solution.

Therefore, the maximum amount of a solute that can be dissolved in a solvent at a given temperature is a statement that refers to the concentration of a substance. Thus, the correct option for this question is A.

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A piece of steel is 11.5cm long at 22C. It is heated to 1221C, close to its melting point. How long is it, in cm, at the high temperature?

Answers

Answer:

The length at the final temperature is 11.7 cm.

Explanation:

We need to use the thermal expansion equation:

[tex]\Delta L=\alpha L_{0}\Delta T[/tex]

Where:

L(0) is the initial lengthΔT is the differential temperature, final temperature minus initial temperature (T(f)-T(0))ΔL is the final length minus the initial length (L(f)-L(0))α is the coefficient of linear expantion of steel (12.5*10⁻⁶ 1/°C)  

So, we have:

[tex]L_{f}-L_{0}=\alpha L_{0}(T_{f}-T_{0})[/tex]

[tex]L_{f}=L_{0}+\alpha L_{0}(T_{f}-T_{0})[/tex]

[tex]L_{f}=0.115+(12.5*10^{-6})(0.115)(1221-22)[/tex]

[tex]L_{f}=0.117\: m[/tex]

Therefore, the length at the final temperature is 11.7 cm.

I hope it helps you!

Determine whether a moving tennis ball and a racket held by the player have the same momentum or different momentum. If different, determine which object has more momentum.

Answers

Answer:

key points:1.momentum and impulse

2.condition for conservation of momentum and why

3.how to solve collision problems

4.centre of mass

Explanation:

momentum is a vector

force of a tennis ball

for a top player,a tennis ball may leave the racket on the with a speed of 55m/s(about 120mi/h).if the ball has a mass of 0.060kg and is in contact with the racket for about 4ms(4×10)s.estimate the average force on the ball

The distance between two subway stations is 3 miles. If a train travels between the two stations at an average speed of 60 mph, how many minutes does it take for the train to finish the trip between the two stations?

Answers

Answer:3 minutes

Explanation:60 miles an hour, 60 minutes in an hour, 1 mile per minute

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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i need help asap !

Work output has a force of 5 N and distance of 5 m. Work input has a force of 10 N and distance of 10 m. What is the efficiency?
100%

25%

125%

0.25%

Answers

Answer:

the answer is 100%!

your welcome

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

Answers

Answer:

I think ur answer would be B

Explanation:

srry if wrong

hope this helps

an electric bulb is marked 40volts ,230w another bulb is marked 40w,110v
a.calculate the ratio of their resistance
b.the ratio of their energy
c.find the charge on each bulb
d.which of the two bulbs can hold enough .​

Answers

Answer:

a. The ratio of their resistance is 2783:64

b. The ratio of their energy is 4:23

c. The charge on the first bulb is 5.75 C

The charge on the second bulb is [tex]0.\overline {36}[/tex] C

Explanation:

The voltage on one of the electric bulbs, V₁ = 40  volts

The power rating of the bulb, P₁ = 230 w

The voltage on the other electric bulbs, V₂ = 110 volts

The power rating of the bulb, P₂ = 40 w

a. The power is given by the formula, P = I·V = V²/R

Therefore, R = V²/P

For the first bulb, the resistance, R₁ = 40²/230 ≈ 6.96

The resistance of the second bulb, R₂ = 110²/40

The ratio of their resistance, R₂/R₁ = (110²/40)/(40²/230) = 2783/64

∴ The ratio of their resistance, R₂:R₁ = 2783:64

b. The energy of a bulb, E = t × P

Where;

t = The time in which the bulb is powered on

∴ The energy of the first bulb, E₁ = 230 w × t

The energy of the second bulb, E₂ = 40 w × t

The ratio of their energy, E₂/E₁ = (40 w × t)/(230 w × t) = 4/23

∴ The ratio of their energy, E₂:E₁ = 4:23

c. The charge on a bulb, 'Q', is given by the formula, Q = I × t

Where;

I = The current flowing through the bulb

From P = I·V, we get;

I = P/V

For the first bulb, the current, I = 230 w/40 V = 5.75 amperes

The charge on the first bulb per second (t = 1) is therefore;

Q₁ = 5.75 A × 1 s = 5.75 C

The charge on the first bulb, Q₁ = 5.75 C

Similarly, the charge on the second bulb, Q₂ = (40 W/110 V) × 1 s = [tex]0.\overline {36}[/tex] C

The charge on the second bulb, Q₂ = [tex]0.\overline {36}[/tex] C.

d. The question has left out parts

Help pls sand quickly plssssss

Answers

Answer:

The magnet produces an electric current in the wire

Explanation:

Answer: the first one is right

Explanation:

a bed that has an area of 3.75 m2 and weighs 1,025N, what pressure would the bed exert on the floor?

Answers

Answer:

0.03964

Explanation:

Let us calculate the pressure exerted on the bottom by the weight of the fluid. That pressure is the weight of the fluid mg divided by the area A supporting it (the area of the bottom of the container): P=mgA P = mg A.

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)

what two factors directly affect the acceleration of an object?

Answers

The acceleration of an object depends on the mass of the object and the amount of the force applied to it. It states that the acceleration of an object increases with increased force and decreases with increased mass.

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

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

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.

principle of quantization of charge​

Answers

Charge quantization is the principle that the charge of any object is an integer multiple of the elementary charge. Thus, an object's charge can be exactly 0 e, or exactly 1 e, −1 e, 2 e, etc., but not, say, 12 e, or −3.8 e, etc.

Answer:

Quantization is the process of replacing analog samples with approximate values taken from a finite set of allowed values.

Explanation:

Which of the following are devices that utilize electromagnets? Select all that apply?
relay switches
doorbells
crane pulleys
security locks

Answers

Doorbells and security locks!

Water tends to moderate climate. Why is it warmer in the winter and cooler in the summer in cities located near the ocean or large lakes?
A.Water has a low specific heat and therefore changes temperature faster than most other substances.
B.Water has a low specific heat and therefore changes temperature slower than most other substances.
C.Water has a high specific heat and therefore changes temperature more slowly than most other substances.
D.Water has a high specific heat and therefore changes temperature more quickly than most other substances.

Answers

Is c,,,,,,,,,,,,,,,,,,

It is warmer in the winter and cooler in the summer in cities because water has high specific heat and therefore changes temperature more slowly than most other substances. The correct option is C.

What is climate?

Climate is the average weather over a longer period of time in a particular area. A description of a climate includes details such as the typical temperature in each season, the amount of rainfall, and the amount of sunshine.

Coastal weather tends to be more moderate than continental weather, with fewer hot and cold extremes, because the ocean warms and cools more slowly than the atmosphere.

The majority of rain clouds are produced by ocean evaporation, particularly in the tropics, which affects where wet and dry regions on land are located.

Therefore, the correct option is C. Water has a high specific heat and therefore changes temperature more slowly than most other substances.

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Consider two soap bubbles having radii r1 and r2 (r1 < r2) connected via a valve. What happens if we open the valve?

Answers

Answer:

Explanation:

The radius of the smaller bubble, r1 will decrease and that of the bigger bubble, r2 will increase.

The pressure that is present in the smaller bubble usually is greater than the pressure that exists inside that of the bigger bubble. This then makes air to flow from r1 to r2 thereby making the radius of the smaller bubble r1, to decrease while keeping that of the bigger bubble r2 higher.

A small block with mass 0.0350 kgkg slides in a vertical circle of radius 0.550 mm on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point AA, the magnitude of the normal force exerted on the block by the track has magnitude 3.90 NN . In this same revolution, when the block reaches the top of its path, point BB, the magnitude of the normal force exerted on the block has magnitude 0.670 NN . Part A How much work was done on the block by friction during the motion of the block from point AA to point BB

Answers

Answer:

 W_net = μ 5.58,   μ = 0.1     W_net = 0.558 J

Explanation:

The work is defined by the related

          W = F. d ​​= F d cos θ

where bold indicates vectors.

In the case, the work of the friction force on a circular surface is requested.

The expression for the friction force is

              fr = μ N

the friction force opposes the movement, therefore the angle is 180º and the cos 180 = -1

               W = - fr d

the path traveled half the length of the circle

               L = 2 π R

               d = L / 2

               d = π R

we substitute

                 W = - μ N d

Total work is initial to

                W_neto = - μ π R (N_b - N_a)

let's calculate

                W_net = - μ π 0.550 (0.670 - 3.90)

                W_net = μ 5.58

for the complete calculation it is necessary to know the friction coefficient, if we assume that μ = 0.1

                W_net = 0.1 5.58

                W_net = 0.558 J

A skateboarder is traveling at a velocity of 8 m/s. She slows down and comes to a stop in 4 seconds. Calculate the skater’s acceleration.

Answers

Answer:

Go to this link it has many examples - https://staff.retsd.mb.ca/public/or4xe53elrzxg5ldmjuwe3i/Lists/SharedDocuments/Physics/14.2.PDF

Explanation:

Link ^

A chocolate bar has nutritional energy content of 100KJ. If an 50kg mountain climber eats this chocolate bar and converts it all to potential energy. What altitude(height) can she climb on a mountain using this energy? Consider g=10m/s^2

Answers

Answer:

h = 200 m

Explanation:

The energy content of the chocolate is completely converted to the potential energy of the climber. Therefore:

[tex]Energy\ of\ Chocolate = Potential\ Energy\\Energy\ of\ Chocolate = mgh[/tex]

where,

m = mass of climber = 50 kg

Energy of Chocolate = 100 KJ = 100000 J

g = acceleration due to gravity = 10 m/s²

h = height = ?

Therefore,

[tex]100000\ J = (50\ kg)(10\ m/s^2)h\\\\h = \frac{100000\ J}{500\ N}[/tex]

h = 200 m

What does the object below model?
O A. The heart
O B. The skeletal system
C. The brain
O D. The lungs

Answers

Answer:  c

Explanation: it is c because i used my brain to answer it

Answer: The Brain

Explanation:

Its the brain

4. An automobile gasoline engine is able to do 225 J of useful work with each stroke of its
pistons. If the engine has an efficiency of 29%, what is the amount of work that must be done on
the pistons in the engine?

Answers

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

Actually Welcome to the concept of Efficiency.

We know that, efficiency is given as,

E (eta) = Output work / Input Work

hence, here, E = 29% and Output work = 225

hence, 29% = 29/100 in real..

hence, the work done on piston is given as,

29/100 = 225/I

therefore, I = 225*100/29 ==> I = 22500/29 ==> I = 775.8 joules

hence, the work done on the pistons is 775 J

What is the average speed of a car that travelled 400 miles in 6 hours?

Answers

Answer:

About 66 miles per hour

Explanation:

Based on the information given we can assume the car traveled the same number of miles every hour meaning all we need to do is divide.

400/6 ≈ 66 miles per hour

Answer

66 mph

Explanation:

400 ÷ 6 = 66.666666666666666.......

7. A jogger runs three blocks south, two blocks east, 4 blocks north and
two blocks west. What is the DISTANCE the jogger ran? *

Answers

Answer:

11 blocks

Explanation:

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

Help it is timed help

Answers

Answer:

It is an object that remains a magnet forever.

Explanation:

A man lifts a 5 Newton bag of groceries
from the floor to the top of the countertop,
which is 1.1 meters tall. What is the work
done by this person in lifting groceries?

5
5.5
4.5
6

Answers

Well I can’t bee any so the closest one is 6 but the answer should be 6.1 and also I’m a middle schooler so I want to learn more stuff like this but I recommend 4.5

I’m giving 15 points for this one multiple choice question! Pls Help! It’s not A.

An electric food processor uses 250 joules of electrical energy every second. Due to friction and other causes, the energy available to spin the blades to cut food is reduced to 200 joules per second. The efficiency of the food processor is
A. 0.8%
B. 8%
C. 80%
D. 800%

Answers

it should be answer c!
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