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?
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].
A block of density 8.9g/cm³ measures 5cm by 2cm, Given that the force of gravity is 10N/kg. Determine the maximum pressure
Answer:
Maximum pressure = 4450 N/m²
Explanation:
We'll begin by calculating the volume of the block. This can be obtained as follow:
Volume (V) = 5 cm × 3 cm × 2 cm
V = 30 cm³
Next, we shall determine the mass of the block. This can be obtained as follow:
Density = 8.9 g/cm³
Volume = 30 cm³
Mass =?
Density = mass /volume
8.9 = mass / 30
Cross multiply
Mass = 8.9 × 30
Mass = 267 g
Next, we shall covert 267 g to Kg.
1000 g = 1 Kg
Therefore,
267 g = 267 g × 1 Kg / 1000
267 g = 0.267 Kg
Thus, the mass of the block is 0.267 Kg
Next, we shall determine the force.
Force of gravity (g) = 10 N/Kg
Mass (m) = 0.267 Kg
Force (F) =?
F = mg
F = 0.267 × 20
F = 2.67 N
Next, we shall determine the minimum area since we are trying to obtain the maximum pressure. This can be obtained as follow:
Minimum area = 3 cm × 2 cm
Covert each measurement to metre (m) by dividing each measurement by 100
Minimum area = 0.03 m × 0.02 m
Minimum area = 0.0006 m²
Finally, we shall determine the maximum pressure. This can be obtained as follow:
Force (F) = 2.67 N
Minimum area = 0.0006 m²
Maximum pressure =?
Maximum pressure = Force /minimum area
Maximum pressure = 2.67 / 0.0006
Maximum pressure = 4450 N/m²
what type of charge will an object have if the object contains less protons than electrons?
Answer:
Hello, I believe it would have a negative charge considering protons have a positive charge while elctrons have a negative charge
Explanation:
The energy transferred to the water in 100 seconds was 155 000 J. specific heat capacity of water = 4200 J/kg °C
Determine the mass of water in the kettle.
Use Figure 10.
Give your answer to 2 significant figures.
Any help would be appreciated
Answer:
0.37 kg
Explanation:
I'm not a professor myself, but this is how I worked it out:
using the graph, after 100 seconds, the temperature is 100 degrees Celsius.
If we now substitute everything into the specific heat capacity equation, making the mass "m", we would come up with:
4200 = 155000/(m x 100)
If we rearrange and solve for m, we get 0.37 kg.
I'm not sure if I have done this correctly, feel free to correct me.
Hope this helps!
By using the specific heat capacity formula, the mass of water in the kettle is 0.47 kg
Give that the energy transferred to the water in 100 seconds was 155 000 J and the specific heat capacity of water = 4200 J/kg °C
From the graph;
The initial temperature of the water at time zero is 22 degree Celsius
The final temperature of the water at time 100s is 100 degree Celsius
Change in temperature (T) = 100 - 22 = 78 degree Celsius
To determine the mass of water in the kettle, use the heat energy formula below
E = mcT
Substitute all the parameters into the equation
155000 = 4200 x 78 M
Make M the subject of the formula
M = 155000/327600
M = 0.47 kg
Therefore, the mass of water in the kettle is 0.47 kg
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Who do you think had the most influence on modern science: Descartes or Newton? And why? i'll give brainliest
Answer: Newton
Explanation:
Isaac Newton is viewed as one of history's most persuasive researchers. During his lifetime, Newton created the hypothesis of gravity, the laws of movement (which turned into the establishment of material science), another strategy for arithmetic known as analytics, and leap forwards in optics like the reflecting telescope.
How does a “super-crest” form?
a) It is the meeting of two waves coming from two different points, traveling at the same frequency.
b) It is the separation of two waves coming from the same point, traveling at the same frequency.
Answer Quickly, Please!!!
Answer:
a.) It is the meeting of two waves coming from two different points, traveling at the same frequency.
Explanation:
Correct me if I'm wrong, it's just my own opinion. Thankyouu!
Answer:
A. It is the meeting of two waves coming from two different points, traveling at the same frequency.
Explanation:
If the crest of 1 wave meets the crest of a second wave at a given instant in time and location along the medium, a "super crest" is formed, hope this helps....
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
Identify which method of thermal energy transfer would be fastest through a vacuum, which would be fastest through a gas, and which would be fastest through a solid.
Answer:
vacuum-radiation
gas-convection
solid-conduction
Explanation:
A machine designed to stretch a stiff spring uses 1,550 J of energy to stretch the spring. If the work output is 1,200 J, what is the machine’s efficiency?
Answer:
77%
Explanation:
efficiency= work output/work input X 100%
e = 1,200j/ 1,550 j x100%
e = 1,200/1,550= 0.77
e = 0.77 x 100%
e = 77%
6
Which of these statements is true?
А
Acceleration in the direction of motion slows you down
B.
Acceleration in the direction of motion speeds you up
C
Acceleration against the direction of motion has no effect
on your speed
D
Acceleration against the direction of motion speeds you up
Answer:
B. Acceleration in the direction of motion speeds you up
Explanation:
Acceleration is defined as when something gains speed. For example, when a car speeds up. Deceleration is when the car slows down, and looses speed. When defining these terms, think of a car going faster, then slowing down at a red light.
A KG object has a speed of 24 M/S if it has 14 J of kinetic energy what is the mass
Three resistors of 4.0 ohms, 6.0 ohms, and 12 ohms are connected in parallel to an applied potential difference of 12 volts. (1) Calculate the equivalent resistance. (2) Determine the potential difference across each resistor. (3) Calculate the current through each resistor.
Answer:
(1) 2 ohms
(2) 12 Volts Across each resistor
(3) I₁ = 3 A, I₂ = 2 A, I₃ = 1 A
Explanation:
From the question,
(1) Equilvalent Resistance (Rt) for parallel connection is
1/Rt =(1/R₁)+ (1/R₂) + (1/R₃)
Where R₁ = 4 ohms, R₂ = 6 ohms, R₃ = 12 ohms
1/Rt = 1/4 +1/6 +1/12
1/Rt = (3+2+1)/12
1/Rt = 6/12
1/Rt = 1/2
Rt = 2 ohms.
(2) Since the resistors are connected in parallel, They will have the same potential difference across them,
Hence the P.d across each resistor = 12 Volts.
(3) For R₁,
I₁ = V/R₁ = 12/4
I₁ = 3 A.
For R₂,
I₂ = V/R₂
I₂ = 12/6
I₂ = 2 A
For R₃,
I₃ = V/R₃
I₃ = 12/12
I₃ = 1 A
Volleyball took some of its characteristics from handball and tennis
True
False
Answer:
True Because if we observe carefully we will see that some moves of volleyball are similar to handball and tennis
2-Write True(T) if the sentence is true. Write False(F) if the sentence is
false.
Momentum is a measure of the motion of a body equal to the product of its
mass and acceleration due to gravity.
Impulse is defined as the force times the time interval.
The tendency of an object to resist a change in motion is called Force
If the speed of an object is doubled, its momentum is multiplied by 2
Sudden change in momentum in a collision, results in a large force that can
cause injury.
Safety features of modern cars ensures that energy is not absorbed when vehicles
stop:
Crumple zones are built into cars to increase the duration of crashes.
tic energy
15.The energy changes that take place when a stone falls freely from rest to
the ground can be orderly arranged as
A. Kinetic energy → Potential energy
B. Sound energy → Potential energy
C. Potential energy
→ Sound energy
D. Potential energy
16.A ductile material is that which
→ Sound energy
→ Heat.
→ Kinetic energy → Heat.
→ Kinetic energy → Heat.
→ Kinetic energy → Heat energy
→ Sound.
Answer:
15. potential- kinetic -potential
16. I don't understand
Ductile materials are materials that can be drawn into wire e.g copper
Answer:
15.A
Explanation:
a falling objects posses kinetic energy whiles objects at rest has potential energy
Which of the following are strategles that will help you in the process of losing weight?
-watch TV while eating
-monitor your progress
-go to restaurants often to build your will power
- inform your friends about your
weight-loss plan
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.
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
Decribe what must happen inside of an aluminum can in order for it to be attracted to a positively-charged and to a negatively-charged object
Answer:
The PROTONS in the can attract to the negatively charged object, so then the can becomes polarized and the ELECTRONS in the can attract the positively charged object.
Explanation:
The PROTONS inside the can entice to the negatively charged object, so then the can will become polarized and the ELECTRONS in the can appeal to the undoubtedly charged item.
How are proton and electron associated?The number of protons within the nucleus of the atom is identical to the atomic range. The variety of electrons in an impartial atom is identical to the number of protons. The mass range of the atom (M) is equal to the sum of the wide variety of protons and neutrons inside the nucleus.
Protons definitely charged subatomic particles that live in the nucleus. Neutrons: Neutrally charged subatomic particles that are living in the nucleus. Electrons: Negatively charged subatomic debris found inside the electron shells surrounding the nucleus.
An electron is a negatively charged factor of an atom while the proton is an undoubtedly charged frame. The electrons are present out of doors the nucleus inside the orbiting shells. But the protons alongside neutrons shape the nucleus of the atom and are gifted in the middle of the atomic nuclei.
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what is the most dense type of stars?
Answer:
A neutron star is the most intensely dense object in all the universe. Of course, the argument can be made that a black hole is the most dense, but considering that a black hole is technically beyond the event horizon, it is neutron stars that get the top spot for the being the ‘most dense’.
Explanation:
:) please mark me as brainliest, thanks
The mineral quartz has a chemical formula of SiO2. What is the formal name
for this compound?
Answer:
Silicon Dioxide
Answer:
Silicon dioxide
Explanation:
Electrical potential is measured in units called what
Answer:
Electrical potential is measured in units called volts.
Describe the forces that are acting on a person who is standing still on a sidewalk, and identify whether the forces are balanced or unbalanced. Describe how the forces would change if the person started walking.
Answer:
a. i His weight and the normal force on him due to the ground
ii The weight and the normal force are balance
b. There are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.
Explanation:
a. i Describe the forces that are acting on a person who is standing still on a sidewalk
His weight and the normal force on him due to the ground act on him while the person is standing on the sidewalk
ii. identify whether the forces are balanced or unbalanced.
The weight and the normal force are balance because, the person does not move in the vertical or horizontal direction.
b. Describe how the forces would change if the person started walking.
When the person starts walking, the backward push due to his leg on the ground and the frictional force between his feet and the ground now acts on him in the horizontal direction. The frictional force acts in the forward direction and tends to move him forward. His weight and normal force on his feet still act vertically and are both balanced since he does not move in the vertical direction.
So, there are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.
Which is an example of a trace fossil?
animal burrow
skin of organism
preserved bone
petrified wood
Answer: The correct answer is A). Animal burrow because burrow fossils represent the preserved byproducts of behavior rather than physical remains, they are considered a kind of trace fossil. One common kind of burrow fossil is known as Skolithos, and the similar Trypanites, Ophiomorpha and Diplocraterion.
Animal burrow is an example of a trace fossil.
What is fossil?The preserved remnants of plants and animals that were submerged in sediments like sand and mud beneath ancient seas, lakes, and rivers are known as fossils. Any preserved sign of life that is typically older than 10,000 years is considered a fossil.
After death, soft body parts degrade quickly, while hard body parts, including bones, shells, and teeth, can be replaced by minerals that solidify into rock. Soft components like feathers, ferns, or other signs of life, such footprints or faeces, may also be preserved in extremely rare circumstances. Both less familiar fossils like ammonites and trilobites as well as microscopic-sized ones like single-celled foraminifera or pollen grains can be found in the remains.
What is trace fossil?A trace fossil, also known as an ichnofossil, is a record of biological activity preserved in the fossil record but without the actual preserved plant or animal remains. Contrasting with body fossils, which are the preserved remains of portions of an organism's body that were typically modified by later chemical activity or mineralization, are trace fossils. Ichnology, the study of such trace fossils, is the field of study of iconologists.
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GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 23pts-
What variable do you think made this airplane fly the farthest?
Answer:
How does the weight of the nose on a paper
airplane affect the distance it will travel
when measured in centimeters?
EXPERIMENT CONCLUSION: (Explain whether or
not your data supports, or fails to support your identified
prediction. Explain why, including facts and details!)
The distance did increase when I added 1 paper clip.
However, I was surprised that the distance decreased
when I added a second paper clip. I believe this
happened because the nose of the plane became too
heavy. When the plane was released, the nose of the
plane descended much quicker. I think the plane was
more balanced in weight when only 1 clip was on the
nose.
Greg can't remember how tall his 9-month-old niece is. He guesses that she is 100 cm tall. Which of the following is true?
Age (months)
Height (cm)
3 61.1
6 67.8
9 72.3
12 76.1
A.
Based on the data, Greg's guess is reasonable.
B.
Based on the data, Greg's guess is not reasonable.
C.
Based on the data, Greg's niece should be around 61.1 cm tall.
D.
Based on the data, Greg's niece should be around 76.1 cm tall.
Answer:
C
Explanation:
Ten examples of luminous objects
Answer:
Sun, fireflies, glow worms ,Stars ,a lighter torch ,a kerosene Oil Lamp, burning candle, vapor light, a bulb
Answer:
Sun
Flame in an oil lamp
tube light
bulb
fireflies
lighted candle
LEDs
laser
jellyfish
Fire
Explanation:
luminous objects are objects that produce light and are responsible for vision.
what is the name often given to the force exerted by the first objection a second object
Answer:
Newton's Third Law
Explanation:
When one object exerts a force on another object, the second object exerts a force on the first object that is equal in magnitude, but opposite in direction; for every action, there is an equal, but opposite reaction; called the law of action-reaction.
Function: y = x2 + 5x - 7
Vertex:(
Solutions:(
and
Answer:=7x−7
Explanation:
=2x+5x+−7
=(2x+5x)+(−7)
=7x+−7
g The ant has traveled 10 cm horizontally and 6 cm vertically from its starting point on a twig with a slope of 0.5. If this is the only information the ant has, what function best approximates the geometry of the twig at the point the ant is on? b) The ant can use its model of the environment to plan its movements. In particular, it wants its next step to take it no higher than 0.1 cm above its current location. How far can the ant travel horizontally and still accomplish this?
Answer:
a) a right triangle, b) x = 0.167 m
Explanation:
a) It is asked to find which geometry figure describes the movement of the ant.
Let's use trigonometry with the angles measured in radians
tan θ = y / x
tan θ = 6/10
θ = tan⁻¹ 0.6
θ = 0.54 rad
this value is equal to the upward slope therefore the geometric body that describes the movement is a right triangle
b) it is asked to find the horizontal displacement for a vertical displacement of y = 0.1 cm x = y / tan tea
x = 0.1 / tan 0.54
x = 0.1668 m
x = 0.167 m