student will be reported !!!!
A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)
If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The
wavelength of the wave is 1.69m.
What is the wavelength?The wavelength of a wave can be determined using the equation:
Wavelength = velocity / frequency
To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.
frequency = 1 / time
frequency = 1 / 0.230
frequency ≈ 4.35 Hz
Substitute the values into the wavelength equation:
wavelength = velocity / frequency
wavelength = 7.33 / 4.35
wavelength ≈ 1.69m
Therefore the wavelength of the wave is approximately 1.69 meters.
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The momentum of a truck is 6.36 * 10 ^ 4 * kgm / s The truck is traveling at a speed of 21.2m / s What is the mass of the truck?
The mass of the traveling truck is approximately 3000 kilograms.
What is the mass of the traveling truck?Momentum is simply the product of the mass of an object and its velocity.
Its is expressed mathematically as;
P = m × v
Where m is the mass of the object and v is its velocity.
Given that:
Momentum of truck P = 6.36 × 10⁴ kgm/s
Velocity of the truck v = 21.2 m/s
Mass of the truck m = ?
Substitute the given values into the equation above and solve for mass.
P = m × v
m = p / v
m = ( 6.36 × 10⁴ ) / 21.2
m = 3 × 10³ kg
m = 3000 kg
Therefore, the truck has a mass of 3000 kg.
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Calculate how much work the force of gravity does on the sphere from B to C .
(a) The work done by the force of gravity from A to B is 4.41 Joules.
(b) The work done by the force of gravity from B to C is zero.
(c) The work done by the force of gravity from A to C is 4.41 Joules.
a) To calculate the work done by the force of gravity from A to B, we need to consider the change in potential energy. The potential energy at point A is maximum due to the maximum angle of 35.0∘ to the left of vertical, while at point B, the string is vertical, and the potential energy is zero.
The change in potential energy (ΔPE) is given by:
ΔPE = m * g * h
where m is the mass of the sphere (0.500 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the change in height.
Since the potential energy at point A is maximum, the change in height is equal to the length of the string (0.900 m).
ΔPE = 0.500 kg * 9.8 m/s^2 * 0.900 m = 4.41 J
Therefore, the work done by the force of gravity from A to B is 4.41 Joules.
b) From B to C, the change in height is zero since the string is already vertical. Hence, the work done by the force of gravity from B to C is zero.
c) The total work done by the force of gravity from A to C is the sum of the work done from A to B and from B to C.
Total work = Work from A to B + Work from B to C = 4.41 J + 0 J = 4.41 J
Therefore, the work done by the force of gravity from A to C is 4.41 Joules.
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I think it is the question:
A Pendulum Is Made Up Of A Small Sphere Of Mass 0.500 Kg Attached To A String Of Length 0.900 M. The Sphere Is Swinging Back And Forth Between Point A, Where The String Is At The Maximum Angle Of 35.0∘ To The Left Of Vertical, And Point C, Where The String Is At The Maximum Angle Of 35.0∘ To The Right Of Vertical. The String Is Vertical When The Sphere Is At
A pendulum is made up of a small sphere of mass 0.500 kg attached to a string of length 0.900 m. The sphere is swinging back and forth between point A, where the string is at the maximum angle of 35.0∘ to the left of vertical, and point C, where the string is at the maximum angle of 35.0∘ to the right of vertical. The string is vertical when the sphere is at point B.
a) Calculate how much work the force of gravity does on the sphere from A to B.
b) Calculate how much work the force of gravity does on the sphere from B to C.
c) Calculate how much work the force of gravity does on the sphere from A to C.
If an elevator accelerates upward at 10 ms−2 , what is the average blood pressure in the brain? What is the average blood pressure in the feet? If the elevator accelerates downward with the same acceleration, what is the average blood pressure in the brain and feet? take g = 10
The average blood pressure in the brain will be higher than the average blood pressure in the feet. the average blood pressure in the brain will be lower than the average blood pressure in the feet.
When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain and feet of a person changes.
Similarly, when the elevator accelerates downward with the same acceleration, the blood pressure in the brain and feet of a person changes.
Let's discuss them one by one:Blood Pressure When Elevator Accelerates Upward at \(10 ms^{-2}\)
When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain of a person increases, while the blood pressure in the feet of a person decreases.
This happens due to the gravitational force acting on the body.
Since the gravitational force on the head is greater than the gravitational force on the feet, the blood pressure in the brain increases while the blood pressure in the feet decreases.
Therefore, the average blood pressure in the brain will be higher than the average blood pressure in the feet.
Blood Pressure When Elevator Accelerates Downward at \(10 ms^{-2}\) When the elevator accelerates downward at \(10 ms^{-2}\), the blood pressure in the brain of a person decreases, while the blood pressure in the feet of a person increases.
This also happens due to the gravitational force acting on the body. Since the gravitational force on the head is less than the gravitational force on the feet, the blood pressure in the brain decreases while the blood pressure in the feet increases.
Therefore, the average blood pressure in the brain will be lower than the average blood pressure in the feet.
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1.
Define the terms gravity and gravitation?
Explanation:
The terms gravitation and gravity are often used interchangeably for the attraction between everything with energy or mass. While gravity is specifically the pull of an object toward the Earth, gravitation describes this fundamental force more generally
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Answer:
The terms gravitation and gravity are often used interchangeably for the attraction between everything with energy or mass. While gravity is specifically the pull of an object toward the Earth, gravitation describes this fundamental force more generally.
Explanation:
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1. Odysseus traveled from Troy to Ithaca. What
was the acceleration of Odysseus' ship if its mass
was 900,000 kg and it moves across the water with
a force of 300,000 N?
Answer: 0.33 m/s^2
Explanation:
The acceleration of Odysseus' ship as it moves across the water from Troy to Ithaca is 0.33m/s²
Given the data in the question;
Mass of Odysseus' ship; \(m= 900000kg\)Force with which Odysseus' ship moves across the water; \(F = 300000N\)Acceleration; \(a = ?\)To determine the acceleration of the ship, We the equation from Newton's Second Law of Motion:
\(F = m\ *\ a\)
Where F is the force, m is the mass and a is the acceleration
Lets make acceleration ''a'', the subject of the formula
\(a = \frac{F}{m}\)
Now, we substitute our given values into the equation
\(a = \frac{300000N}{900000kg}\)
We know that, A newton is defined as \(1 kg.m/s^2\)
\(a = \frac{300000 kg.m/s^2}{900000kg} \\\\a = 0.33m/s^2\)
Therefore, the acceleration of Odysseus' ship as it moves across the water from Troy to Ithaca is 0.33m/s²
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Una turbina de vapor
recibe vapor con un flujo másico de 30 kg/s a 6205 kPa, 811 K, con una velocidad a la
entrara de 10 m/s. El vapor a la entrada tiene una energía interna específica de 3150.3
kJ/kg y un volumen específico de 0.05789 m3
/kg. El vapor sale de la turbina a 9.859 kPa,
318.8 K. El vapor sale a 200 m/s con una energía interna específica de 2211.8 kJ/kg y
un volumen específico de 13.36 m3
/kg. Encuentre la potencia producida por la turbina
si ésta pierde calor a una tasa de 30 kW.
Este problema está describiendo una turbina de vapor a la que entra vapor a 30 kg/s, 6.205 kPa y 811 K con una velocidad de 10 m/s y sale a 9.859 kPa, 318.8 K y con una velocidad de 200 m/s. Adicionalmente, tanto el volumen específico como la energía interna son dados para ambas corrientes.
Con lo anterior, resulta posible escribir un balance de energía para esta turbina, despreciando todo efecto por energía potencial ya que no hay diferencia significativa entre la altura de la entrada (1) y la salida (2), pues están practicamente al mismo nivel:
\(mh_1+\frac{1}{2} mv^2_1=mh_2+\frac{1}{2} mv^2_2+Q_2+W_2\)
Aquí vemos que la incógnita es \(W_2\) como la potencia que produce la turbina. Ahora, el primer cáculo a realizar es el de las entalpías de las corrientes de entrada y salida, dada la energía interna, presión y volumen específico:
\(h_1=3150.3\frac{kJ}{kg}+6205kPa*0.05789\frac{m^3}{kg} =3509.51\frac{kJ}{kg}\\\\h_2=2211.8\frac{kJ}{kg}+9.859kPa*13.36\frac{m^3}{kg} =2342.72\frac{kJ}{kg}\)
Ahora, podemos reacomodar el balance de energía con el fin de resolver \(W_2\):
\(W_2=m(h_1-h_2)+\frac{1}{2} m(v^2_1-v^2_2)-Q_2\)
Finalmente, reemplazamos los valores para obtener:
\(W_2=10\frac{kg}{s} (3509.51-2342.72)\frac{kJ}{kg} +\frac{1}{2} *10\frac{kg}{s} [(10\frac{m}{s}) ^2-(200\frac{m}{s} )^2]*\frac{1kJ}{1000J} -30\frac{kJ}{s}\\\\W_2=11438.4 kJ/s=11438.4kW\)
Es de precisar que la energía cinética como 1/2 m*v² resulta en Joules, por lo que hay que convertir a kilojoules para tener unidades consistentes de kilowatts al final.
Aprende más:
https://brainly.com/question/21902769https://brainly.com/question/24322350a) A bus of mass 760 kg requires 120 m to reach certain velocity value Vf. Ignore friction and drag forces and assume the bus engine exerts a constant forward force F. When the bus is towing a 330-kg small car, how long distance needed to reach same Vf? b) If the Vf of the bus is 28 m/s, what is the tension in the tow cable between bus and small car?
Answer:
Given : A bus of mass 760 kg requires 120 m to reach certain velocity value Vf.
the bus engine exerts a constant forward force F.
To Find : When the bus is towing a 330-kg small car, how long distance needed to reach same Vf?
Solution:
V² - U² = 2aS
V = Vf
U = 0
S = 120 m
=> Vf² - 0 = 2a(120)
=> Vf² = 240a
m = 760 kg
Force = F
F = ma
=> F =760 a
=> a = F/760
Vf² = 240F/760
Case 2 :When the bus is towing a 330-kg small car,
m = 760 + 330 = 1090 kg
a = F/1090
Vf² = 2aS
=> 240F/760 = 2 (F/1090) S
=> S = 120 x 1090 /760
=> S = 172.1 m
172.1 m distance needed to reach same Vf
Explanation:
What does it mean when an object is magnified?
The object appears darker.
The object appears larger.
The object appears lighter.
The object appears smaller.
Answer:
The object appears larger
Explanation:
B
Think of a hydropower dam . How is electrical energy produced from potential and kinetic energy ?
hydroelectric dam converts the potential energy stored in a water reservoir behind a dam to mechanical energy—mechanical energy is also known as kinetic energy. ... The generator converts the turbine's mechanical energy into electricity.
Hope this helps!
Answer:
Potential energy and kinetic energy are constituents of mechanical energy.
When a turbine is switched on, it rotates with mechanical energy.
Since a motor runs the turbine, it converts this mechanical energy to electrical energy.
An apple is dropped from the top of a 200 m tall building. Its acceleration plotted against height fallen is shown in the following graph.
At what height (to one significant figure) above the ground is terminal velocity reached? Give your answer with an appropriate unit.
Answer:
Explanation:
From the graph, acceleration is zero if a distance of 130 m is overcome. The maximum speed at a height from the ground equal to 200 m - 130 m = 70 m. Further, the apple falls evenly!
According to the graph, if a distance of 130 m is overcome, acceleration is zero. The maximum speed at a height of 200 m - 130 m = 70 m from the ground. In addition, the apple falls evenly.
Terminal velocity is the constant maximum velocity reached by an object falling through a fluid (such as air) when the force of gravity pulling the object downward is balanced by the opposing force of air resistance. Initially, as an object falls, its velocity increases due to the acceleration from gravity. However, as the object accelerates, the air resistance acting upon it also increases. Eventually, a point is reached where the air resistance becomes equal to the force of gravity, resulting in zero net force and a constant velocity. This constant velocity is the terminal velocity.
The graph of acceleration plotted against the height fallen provides information about the changing acceleration of the falling apple as it travels down the building. To determine the height at which terminal velocity is reached, you would need to look for the point on the graph where the acceleration levels off or approaches zero. This indicates that the net force acting on the apple is becoming negligible, implying that terminal velocity has been reached.
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Which one is evidence that electricity is flowing?
A motor in a circuit is not moving
The battery is connected
A light bulb shines
Answer:
C. A light bulb shines
Explanation:
When electricity flows through a circuit and powers the light bulb, the light bulb would shine.
The answer isn't B because if the battery was only connected to the circuit without the circuit being turned on by the switch, electricity would not flow from the battery to the light bulb.
Samir is waiting for a slow reaction to finish. What is the best way to make the reaction go faster?
Question 12 options:
Put it in the fridge where it is cold
Cover it with a blanket so it's dark
Warm it up on the stove
There is nothing you can do to change the speed of the reaction
In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.
Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct
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Jacie made a model to show the water cycle. The model she made is shown
below.
Which process in the model represents condensation?
A. As water vapor transfers heat to ice cubes, it forms clear droplets outside the
plastic wrap.
B. As water vapor gains heat from ice cubes, it forms clear droplets outside the
plastic wrap.
C. As water vapor transfers heat to ice cubes, it forms colored droplets inside the
plastic wrap.
D. As water vapor gains heat from ice cubes, it forms colored droplets inside the
plastic wrap
Answer:
option C
Explanation:
as water vapor transfer heat, colored drops are seen inside the wrap.
pls help need it last question on my test
The force that results in the decrease in speed from the midpoint to the end of the track is friction. The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.
The force that would cause the Hot Wheels car to slow down from the midpoint of the track to the end of the track is friction between the car's wheels and the track.
Friction is a force that opposes motion between two surfaces in contact.
In this case, the wheels of the car and the surface of the track are in contact, and the friction force acts in the opposite direction of the car's motion, which slows it down.
As the Hot Wheels car travels down Track #2 during the Speed Lab activity, its initial velocity decreases due to friction.
Friction is a resistance force that opposes motion.
It is caused by the interaction between the surfaces in contact. In this case, the surface of the track and the wheels of the car are in contact.
When the car is moving, there is friction between the two surfaces.
The direction of the friction force is opposite to the direction of motion of the car.
This means that the friction force slows the car down.
In conclusion, the force that results in the decrease in speed from the midpoint to the end of the track is friction.
The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.
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Define Refraction and give some knowlegde about it
explain what happent to the pressure exerted by an object when the area over which it is exerted:
a) increase
b) decrease
1 A body of mass 1 kg has weight 10N at a certain place.
What is the weight of
a 100g,
b 5kg,
c 50g?
Answer:
1 kg body has weight 10 N
Multiply through by 5
5 kg body has weight 50 N
And amazingly - that is your answer
Hope it helps!
what is 100+10000000000000000000
Answer:
200000000000000000000000
Explanation:
Answer:
10000000000000000100
Explanation:
According to Steinberg, which of the following statements is true about creative people
They appreciate art and music.
They always take popular stands.
They accept ideas at fàce value.
They accept their limitations,
An object with a mass of m = 3.85 kg is suspended at rest between the ceiling and the floor by two thin vertical ropes.
The magnitude of the tension in the lower rope is 12.8 N. Calculate the magnitude of the tension in the upper rope.
The tension in the upper rope is determined as 50.53 N.
Tension in the upper rope
The tension in the upper rope is calculated as follows;
T(u) = T(d)+ mg
where;
T(u) is tension in upper ropeT(d) is tension in lower ropeT(u) = 12.8 N + 3.85(9.8)
T(u) = 50.53 N
Thus, the tension in the upper rope is determined as 50.53 N.
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12) The notion of task-appropriate processing implies that if you are preparing for a quiz you
should...
Can the potential of a non uniform charged sphere be the same as that of a point charge? Explain in details
No. The potential of a non-uniform charged sphere cannot be the same as that of a point charge.
Non-uniform charged sphere as a point chargeThe potential at any point in space is determined by the distribution of charge within the system, and a non-uniform charged sphere has a different charge distribution than a point charge.
A point charge has all of its charges concentrated at a single point, while a non-uniform charged sphere has charge distributed throughout its volume.
As a result, the electric field and potential will be different for these two systems, even if they have the same total charge. Therefore, the potential of a non-uniform charged sphere cannot be the same as that of a point charge.
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What role does friction play in the conservation of enérgy?
The law of conservation of energy asserts that total energy remains constant in an isolated system. That is, energy cannot be generated or destroyed, but it may be transferred from one form to another. Frictional forces can dissipate energy, which raises the question of whether it violates the law of conservation of energy. No, it does not. When there is friction, energy is transferred from one form to another. There will be no energy loss. To illustrate this issue, consider the following scenario: two buses collide. The buses are no longer moving as a result of the collision. Where does all of this energy go? The solution is simple: the friction between buses and between buses and the road allows energy to be transferred from one form to another. You may be aware that when we rub our hands together, heat is produced; what occurs here is frictional energy converting to heat energy. This is what happens in bus accidents, where the energies can be changed to thermal energy, acoustic energy, or any other type of energy owing to friction and impact. So the energy we believed we had wasted was really converted to heat and sound. Bus collisions are not only noisy, but they also cause a lot of friction on the ground and in the bent metal. Both heat and sound are types of energy.
NOTE:The nearest neighboring star to the Sun is about 4 light-years away. If a planet happened to be orbiting this star at an orbital radius equal to that of the Earth-Sun distance, what minimum diameter would an Earth-based telescope's aperture have to be in order to obtain an image that resolved this star-planet system? Assume the light emitted by the star and planet has a wavelength of 550 nm
. The Earth-Sun distance is 149.6×106km
, and 1ly=9.461×1015m
.
To resolve the star-planet system at a distance of 4 light-years, a telescope on Earth would need an aperture with a minimum diameter of 55.88 mm.
What does microscopy's Rayleigh criterion mean?In optical microscopy, the Rayleigh criterion is frequently used to estimate the resolution of the microscope. The resolution limit imposed by this criterion has long been regarded as a roadblock to using an optical microscope to study biological phenomena at the nanoscale.
We can use the Rayleigh criterion,
θ = 1.22 λ / D
θ = angular resolution
λ = wavelength of light
D = diameter of the telescope's aperture
θ = arctan (r / d)
r = radius of the planet's orbit
d = distance to the star
Now, we use the given values,
r = 149.6×106 km = 149.6×109 m
d = 4 × 9.461×1015 m = 3.7844×1016 m
λ = 550 nm = 550×10-9 m
θ = arctan (r / d)
=arctan (149.6×109 / 3.7844×1016) = 0.000012 radians
we can use the Rayleigh criterion,
θ = 1.22 λ / D
D = 1.22 λ / θ
D = 1.22 × 550×10-9 / 0.000012
D = 55.88 mm
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the force of gravity depends on the mass of objects and the distance between them. true or false; the earth’s gravity is pulling on you. are you pulling on the earth? explain your reasoning.; true or false the force of gravity increases when the mass of an object decreases; true or false the force of gravity increases as objects move closer together; the electric force increases as objects move closer together true or false; how does force change with changes in the distance between two objects?; the force of gravity increases as an objects mass increases true or false; the sun has more gravity than the earth because it is more massive.
1) The size of an object and the separation between the things have an impact on gravity. The force of gravity increases in proportion to an object's mass. The object with the greater weight will land first if its weight is greater than that of the other.
2) You may not be conscious of it, but you are also drawing upon the Earth. You are pulling up on the Earth with a gravitational force of 500 N, for instance, if the Earth is drawing down on you with a gravitational force of 500 N. The third law of Newton is a result of this fantastic event.
3) The square of the distance between two things has an inverse relationship with the force of gravity, which depends directly on the masses of the two items. This translates to an increase in gravity force with mass but a decrease in gravity force with increasing distance between objects.
4) The square of the distance between two things has an inverse relationship with the force of gravity, which depends directly on the masses of the two items. This translates to an increase in gravity force with mass but a decrease in gravity force with increasing distance between objects.
5) In electrostatics, the electrical force exerted between two charged objects is inversely proportional to their separation. The power of attraction or repulsion between two items reduces as the separation distance between them increases.
6) We know that the force between any two objects of mass M and m is directly proportional to their masses and inversely proportional to the square of the distance between them in accordance with the law of gravitation.
7) The size of an object and the separation between the objects have an impact on gravity. The force of gravity increases in proportion to an object's mass. The object with the greater weight will land first if its weight is greater than that of the other thing.
8) More than 99% of the solar system's mass is accounted for by the Sun. The Sun's immense size causes it to have a strong gravitational pull on the planets, which causes them to revolve around it.
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If you want to make a strong battery, should you pair two metals with high electron affinities, low electron affinities, or a mix? Explain your answer.
Pls help!!
Which situation describes a system with increasing gravitational potential energy?
a boy jumping down from a tree limb
a girl stretching a horizontal spring
a bicyclist riding up a steep hill
a train speeding up on a flat track
C) a bicyclist riding up a steep hill
The metaphor for a system with rising gravitational potential energy is "a bicyclist riding up a steep hill." Let's get into greater detail:
A cyclist faces resistance from gravity as they ride up a steep slope. The cyclist's elevation, or height above the ground, rises as they cycle and climb uphill. Gravity is pulling the cyclist down the hill by exerting downward force. The cyclist must apply force to the pedals in order to move forward and overcome the pull of gravity. In order to do this, the bicyclist must transform chemical energy from their body into mechanical energy. The distance of the cyclist from the centre of the Earth grows as they ride up the hill. The height and mass of an object affect its gravitational potential energy. In this scenario, as the bicyclist's height rises, their gravitational potential energy also rises.
Due to the higher elevation, the energy input from the biker is stored as increased potential energy. When the bicycle descends the hill or does work, this potential energy can be transformed back into kinetic energy or other types of energy.
A 3.5 kilogram is loaded with a 0.52 kilogram ball. The cannon and ball are initially rolling forward with a speed of 1.27 m/s. The cannon is fired and launches the ball forward with a total speed of 75 m/s. Determine the post-explosion velocity of the cannon.
The cannon and ball are initially moving at a speed of 1.27 m/s. The cannon is fired, propelling the ball forward at a speed of 75 m/s. The post-explosion velocity of the gun is 6.18 m/s.
Total momentum prior = Total momentum subsequent
(3.5 kg + 0.52 kg) × 1.27 m/s = 3.5 kg × \(v_{cannon}\) + 0.52 kg × 75 m/s
where \(v_{cannon}\)is the velocity of the gun following the explosion.
When we simplify and solve for \(v_{cannon}\), we get:
\(v_{cannon}\) = (0.52 kg × 75 m/s - (3.5 kg + 0.52 kg) × 1.27 m/s) / 3.5 kg
\(v_{cannon}\) = 6.18 m/s.
Velocity is a measure of how quickly an object changes its position in a particular direction. It is commonly represented as a vector quantity with both magnitude and direction. The magnitude of velocity is the speed at which an object is moving, while the direction is the path it is following.
In physics, velocity is a fundamental concept used to describe motion in various contexts, including mechanics, kinematics, and dynamics. It is calculated as the rate of change of displacement with respect to time, expressed in meters per second (m/s) or other units.
Velocity is a critical parameter in understanding the behavior of objects and systems, such as vehicles, projectiles, fluids, and celestial bodies. It affects their acceleration, force, energy, and other characteristics that determine their motion and interactions. Engineers, scientists, and other professionals use velocity to design, analyze, and optimize a wide range of applications, from transportation to manufacturing to space exploration.
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A killer whale flips a 30kg baby seal with its tail. It exerts a force of 600N for 0.4s. If the seal is launched by the predator at an angle of 40 degrees, how far from where it is launched does it land? Assume it lands at the same height it was thrown from.
Answer:
The first step is to calculate the initial velocity of the seal. We can use the impulse-momentum theorem, which states that the change in momentum of an object is equal to the impulse applied to it. The impulse is equal to the force multiplied by the time, so:
Impulse = Force x Time
Impulse = 600 N x 0.4 s = 240 Ns
The change in momentum of the seal is equal to its final momentum minus its initial momentum. We can assume that the seal was initially at rest, so its initial momentum is zero. The final momentum can be calculated using the formula for projectile motion:
Final Momentum = Mass x Velocity
Final Momentum = 30 kg x V
V = sqrt(2gh), where g is the acceleration due to gravity and h is the height the seal is launched from. We can assume that the height is zero, so h = 0.
V = sqrt(2gh) = sqrt(2 x 9.81 m/s^2 x 0 m) = 0 m/s
Final Momentum = Mass x Velocity = 30 kg x 0 m/s = 0 kg m/s
So the change in momentum is:
Change in Momentum = Final Momentum - Initial Momentum = 0 kg m/s - 0 kg m/s = 0 kg m/s
Now we can use the impulse-momentum theorem to find the final velocity of the seal:
Impulse = Force x Time = Mass x Change in Velocity
240 Ns = 30 kg x Change in Velocity
Change in Velocity = 8 m/s
The final velocity of the seal can be broken down into its horizontal and vertical components. The horizontal component is:
Vx = V cos(40) = 8 cos(40) = 6.11 m/s
The vertical component is:
Vy = V sin(40) = 8 sin(40) = 5.13 m/s
Now we can use the kinematic equations to find how far the seal travels horizontally before landing. We can assume that the seal lands at the same height it was launched from, so its final height is zero. The time it takes to reach this height can be found using the vertical component of the velocity and the acceleration due to gravity:
Vy = Voy + a*t
0 = 5.13 m/s - 9.81 m/s^2 * t
t = 0.52 s
The horizontal distance traveled can be found using the horizontal component of the velocity and the time of flight. The time of flight is twice the time it takes for the seal to reach its maximum height, which can be found using the vertical component of the velocity and the acceleration due to gravity:
Vy = Voy + a*t
0 = 5.13 m/s - 9.81 m/s^2 * t
t = 0.52 s
The time of flight is:
Time of Flight = 2 x t = 2 x 0.52 s = 1.04 s
Now we can find the horizontal distance traveled using the formula:
Horizontal Distance = Vx x Time of Flight
Horizontal Distance = 6.11 m/s x 1.04 s = 6.35 m
So the seal lands 6.35 meters from where it was launched.