Answer:
0.495m
Explanation:
The kinetic energy of the stone will be equal to the work done by the spring
Mathematically;
W = KE
1/2ke² = 1/2mv²
ke² = mv²
k is the spring constant = 150N/m
e is the extension
m is the mass = 0.015kg
v is the velocity = 70m/s
Substitute
150e² = 1/2 * 0.015 * 70²
150e² = 36.75
e² = 36.75/150
e² = 0.245
e = √0.245
e = 0.495m
Hence the extension of the catapult is 0.495m
A 2kg block is initially at rest on a horizontal frictionless table. A force of 15N is then exerted on the block at an angle of 37° below the horizontal. The change in kinetic energy after moving 3m is?
Answer:
Approximately [tex]36\; {\rm J}[/tex].
Explanation:
Under the assumption, there is no friction to hinder the motion of the block. As a result, the increase in the kinetic energy of the block would be equal to the external work done on the block.
Let [tex]F[/tex] denote this magnitude of this force, let [tex]s[/tex] denote the magnitude displacement, and let [tex]\theta[/tex] denote the angle between this force and displacement. To find the work that this force has done on the block, use the formula:
[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta)\end{aligned}[/tex].
For example, since the block in this question is moving along a horizontal table, displacement of the block would be in the horizontal direction. It is given that the angle between this force and the horizontal direction is [tex]37^{\circ}[/tex]. Thus, the angle between the force and the displacement would be [tex]\theta = 37^{\circ}[/tex].
Magnitude of this force is [tex]F = 15\; {\rm N}[/tex], while magnitude of displacement is [tex]s = 3\; {\rm m}[/tex]. The work done on this block would be:
[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta) \\ &= (15\; {\rm N})\, (3\; {\rm m})\, \cos(37^{\circ}) \\ &\approx 36\; {\rm N\cdot m} = 36\; {\rm J}\end{aligned}[/tex].
Hence, the kinetic energy of this block would increase by [tex]36\; {\rm J}[/tex].
Una atracción de feria consiste en lanzar un trineo de 2 kg por una rampa ascendente que forma un ángulo de 30º con la horizontal. Si el coeficiente de rozamiento es 0,15 ¿con qué velocidad hay que lanzar el trineo para que ascienda 4 m por la rampa?
Answer:
La velocidad con la que se debe lanzar el trineo es aproximadamente 9.96 m/s
Explanation:
La masa del trineo, m = 2 kg
El ángulo de inclinación del trineo, θ = 30 °
El coeficiente de fricción, μ = 0,15
La altura a la que debe ascender el trineo, h = 4 m
La reacción normal del trineo en la rampa, N = m · g · cos (θ)
La fuerza de fricción [tex]F_f[/tex] = N × μ
Dónde;
g = Th aceleración debida a la gravedad ≈ 9.81 m/s²
∴ [tex]F_f[/tex] = 0.15 × 2 kg × 9.81 m/s² × cos (30°) ≈ 2.55 N
La longitud de la rampa que se mueve el trineo, l = h/(sin(θ))
∴ l = 4/(sin(30°)) = 8
La longitud de la rampa que se mueve el trineo, l = 8 m
El trabajo realizado sobre la fricción, [tex]W_f[/tex] = [tex]F_f[/tex] × l
[tex]W_f[/tex] = 2.55 × 8 ≈ 20.4
El trabajo realizado sobre la fricción, [tex]W_f[/tex] ≈ 20.4 Julios
El trabajo realizado para levantar el trineo a 4 metros de altura, P.E. = m·g·h
∴ P.E. = 2 kg × 9.81 m/s² × 4 m ≈ 78.48 Joules
El trabajo realizado para levantar el trineo a 4 metros de altura, P.E. ≈ 78.48 Joules
El trabajo total requerido para levantar el trineo 4 metros por la rampa, [tex]W_t[/tex] = [tex]W_f[/tex] + P.E.
[tex]W_t[/tex] = 20.4 J + 78.84 J ≈ 99.24 J
Energía cinética, K.E. = 1/2 × m × v²
La energía cinética necesaria para mover el trineo por la rampa, K.E. se da de la siguiente manera;
K.E. = 1/2 × 2 kg × v² ≈ 99.24 J
∴ v² ≈ 99.24 J/(1/2 × 2 kg)
La velocidad con la que se debe lanzar el trineo para que ascienda 4 metros por la rampa, v ≈ 9.96 m/s
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
According to the question the rotational kinetic energy of a 12-kg motorcycle wheel is 809.14 J
What does rotational kinetic energy?The SI unit for rotational kinetic energy is the joule (J). The rotating kinetic energy formula has a similar structure to a translational kinetic energy equation. Kinetic energy is created by spinning objects around an axis. This type of energy is influenced by the object's mass, weight, and center of mass angle with respect to the axis.
Given data -
Mass = 12-kg
Angular velocity (ω) -120rad/s
inner radius = 0.280 m
outer radius = 0.330 m.
By using the formula
I = ½*M (r1² + r2²)
I = ½ *(12) * (0.2802 + 0.3302)
I = 1.1238 Kgm2
K.E = ½*Iω2
K.E = ½ * (1.1238)*(120)2
K.E = 809.14 J
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A net force of 10 newtons accelerates an object at 5.0 meters per second^2. What net force would be required to accelerate the same object at 1.0 meters per second^2
The proper answer is that a force of 16 N net would be needed to accelerate the same item at 1.0 m/s2.
How is the net force needed to accelerate calculated?Newton's second law of motion condenses these relationships. The answer to the acceleration equation above can be written as Net Force = Mass Acceleration, or F = m a.
You know that force(F) & acceleration(a) are connected through mass(m),
F=ma
Here you have:
10 = 5 m
so, m = 10/5 = 2 Kg
Then if you have a = 8 m/s^2
you get:
F=2×8=16 N
Force = 16N
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What additional kind of energy makes Cv larger for a diatomic gas than for a monatomic one?
O Charismatic energy
O Translational energy
O Heat energy
O Rotational energy
O Solar energy
Answer:
translational energy
Explanation:
because is diatomic
A 1.41-kg block slides across a rough surface such that it slows down with an acceleration of 1.10 m/s2. What is the coefficient of kinetic friction between the block and the surface
The coefficient of kinetic friction between the block and the surface is 0.11.
The coefficient of kinetic friction can be found using the equation:
friction = force of friction = coefficient of kinetic friction * normal force
The normal force is equal to the weight of the object, which can be calculated as weight = mass * acceleration due to gravity
The force of friction can be calculated using the equation:
friction = force of friction = coefficient of kinetic friction * weight
The coefficient of kinetic friction can be found by rearranging the equation and substituting the known values:
coefficient of kinetic friction = friction / weight
= (1.10 m/s2) / (1.41 kg * 9.8 m/s2)
= 0.11
So, the coefficient of kinetic friction between the block and the surface is 0.11.
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What is the relationship between mass thermal energy transfer kinetic energy and temperature?
The relationship between mass thermal energy transfer kinetic energy and temperature is: When the temperature of an object raises, the average kinetic energy of its particles raises. When the average kinetic energy of its particles raises, the object's thermal energy raises.
The thermal energy in a substance is the whole kinetic energy of all the particles in the substance. If we warm a substance or object, as each particle speeds up, the average speed of the particles (temperature) raises, and accordingly the total speed (kinetic energy) of the particles (thermal energy).
The total of heat transferred is also directly proportional to the mass. To make an equivalent temperature change in a doubled mass, we need to add twice the heat.
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an explorer walks 22 km north, then 47 km at 55o south of east. what is her resultant displacement?
Answer:
Below
Explanation:
Vertical components
22 - 47 sin 55 = - 16.5 km
Horizontal components
47 cos 55 = 26.96
Use Pythagorean Theorem
d^2 = (-16.5)^2 + 26.96^2
d = 31.6 km
he period of a wave is equal to the time it takes for one wavelength to pass by a fixed point. You stand on a pier watching water waves and see 10 wavelengths pass by in a time of 40 seconds. a. What is the period of the water waves?b. What is the frequency of the water waves?c. If the wavelength is 3 meters, what is the wave speed?
The period of water waves is 4 seconds. The frequency of water waves is 0.25 Hz. The wave speed is 0.75 m/s.
What is a period of waves and frequency?
Period of waves or wave period represents the time taken by the wave to complete one cycle. It is also defined as the time is taken for two successive crests or troughs (one wavelength) to pass through the specific point.
The wave period is measured in seconds. Hence, its unit is seconds (s). The period of a wave is the ratio of the wavelength and velocity. The wave period is inversely proportional to the frequency.
Frequency is defined as the number of waves passes through the medium in a given time. Frequency equals the number of cycles per second. The unit of frequency is hertz (Hz).
Frequency is inversely proportional to the wave period. If the frequency increases, the wave period decrease, and the wave period increases by decreasing the wave period.
The wave speed equals the product of wavelength and frequency. Wave speed is defined as the distance of wave travels in a given time. The unit of wave seed is m/s.
From the givens,
time = 40 seconds, wavelength = 10m
Wave period = time/wavelength
= 40/10
Wave period = 4 seconds.
Frequency = 1 / wave period
= 1 / 4
Frequency = 0.25 Hz.
Wave speed = wavelength × frequency
= 3×0.25
= 0.75 m/s
Wave speed = 0.75 m/s.
Hence, the wave period is 4s, the frequency is 0.25 Hz, and the wave speed is 0.75 m/s.
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If the refractive index from air to water, nw = 1.3 and the velocity of light in the air is
3 x 108 m/s, what is the velocity of light in water?
Answer:
[tex]n _{w} = \frac{c}{v} \\ 1.3 = \frac{3 \times {10}^{8} }{v} \\ v = \frac{3 \times {10}^{8} }{1.3} \\ v = 2 \times {10}^{8} \: m {s}^{ - 1} [/tex]
Plz help me !!!!!!!!!!
Answer:
A. These vibrations can travel through solids, liquids, and gases, but not through empty space.
Your twin sister (who has the same weight as you) and you decided to go up to a very tall building. You take the elevator straight up. Your twin sister decide to walk up the spiral stairway. Compare the gravitational potential energy of you and your sister, after you both reach the top. assuming that you and your friend have equal masses.
Both of you have the same amount of potential energy since your masses are the same.
Define potential energy?In physics, potential energy is the power that a substance retains as a result of its position in respect to other things, internal pressures, electric charge, or other substances. Potential energy is a type of stored energy that depends on the interactions of various system elements.
The potential energy of a spring rises when it is crushed or stretched. The potential energy of a steel ball increases if it is raised above the ground as opposed to falling to it. Potential energy is the name for the energy that exists in everything that is raised from rest and can be released at a later time.
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What details can you add to your model of sound? model being a slinky
Answer:
I really hope this helps
Explanation:
How much of the world's energy is hydroelectric?
According to the United Nations Environment Programme, hydropower accounted for 16.6% of global electricity generation in 2018.
This is equivalent to a total installed capacity of 706 GW, making it the second largest energy source after thermal sources.
Hydropower is a renewable energy source and is often seen as a more sustainable alternative to thermal sources, as it does not release any greenhouse gases into the atmosphere. Additionally, hydropower is a reliable source of energy, and can be used to meet peak energy demand.
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A container is filled to a depth of 24.0 cm with water. On top of the water floats a 34.0 cm thick layer of oil with specific gravity 0.900. What is the absolute pressure at the bottom of the container
The Absolute pressure at the bottom of the container filled with water which has a thick layer of oil on the top will be 2735.21 Pa.
Information given as:
Height (h) = 31 cm = 0.31 m
Acceleration due to gravity (g) = [tex]9.8 m/s^{2}[/tex]
Specific gravity of oil = 0.900
So density of oil (ρ)= [tex]0.9X1000 = 900 kg/m^{3}[/tex]
We know that absolute pressure is given by the formula, here
So absolute pressure will be equal to [tex]P_{o} = 1.01 X 10^{5} Pa[/tex]
So absolute pressure of the oil will be 2735.21 Pa
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In a comic book, Superman carries a bus (with a bomb on board) up into the air, hovers for a second and then
throws the bus over the horizon while he stays hovering. How does this situation break the law of conservation
of momentum? What should have happened instead? Why?
This situation breaks Newton's Second Law of motion which states that for every action there is an equal and opposite reaction.
It could have been ideal if the force exerted on the bus by superman should also be exerted on superman by the bus because if we use the equation F=m*a, since superman's mass is so much less than the mass of the bus, he should experience a much higher acceleration than the bus does.
What is the second law ?Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body and it states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Newton’s second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and a (acceleration) are both vector quantities.
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analisis morfologico palabra yo gane el primer premio
Answer:
eres raro jajaja pero eres realmente genial y ordenado espero que esto te ayude jajaja
Explanation:
Answer:
wait what.... what ever the person said before i answer lol
Explanation:
After seeing the fur rubbed with the rod attract the neutral paper, imagine you had an instrument that lets you zoom in enough to see what the paper and rod are made of. Draw a model that shows what happens to the neutral paper to cause it to move towards the charged rod. Make sure to label everything in your model
Seeing the fur rubbed with the rod attracts neutral paper, this happens because the friction of the rod with the rubbed can produce a static electric force. It is this static electric force that causes the pieces of paper to be attracted and rod up.
If the rod or ruler has been rubbed into the hair, then brought closer to the paper, then the paper will lift and stick. Indeed, this can happen due to the presence of an electric charge. When you rub a plastic ruler over your hair, it becomes electrically charged, causing the paper to pull and stick.
The electric charge consists of two types of charge, namely negative charge, and positive charge. However, some objects have an equal amount of negative charge and positive charge. Objects that have the same amount of positive and negative charges are called neutral objects. Initially, a plastic ruler is also an electrically neutral object.
When you rub the ruler against dry hair, it gets an electric charge, because of that electric charge the plastic ruler can exert a force on the paper and pull it closer.
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Classify the phase-change scenarios according to the direction of the heat flow in each case. No net transfer of heat occurs Heat is transferred from the water to the surroundings Heat is transferred to the water from the surroundings
When working through these problems, think about the heat in terms of movement of the molecules of water.
Heat is transferred from the water to the surroundings --- water molecules slowing down.
Heat is transferred to the water from the surroundings --- water molecules heating up.
a cloud of steam condenses into liquid water - Heat is transferred from the water to the surroundings. Steam has more molecules moving around than liquid water. Therefore the molecules had to slow down, thereby transferring heat to the surroundings.a block of ice sublimates into water vapor - Heat is transferred to the water from the surroundings --- water molecules are heating upa block of ice melts - Heat is transferred to the water from the surroundings. The water molecules are basically not moving. Therefore heat has to be introduced to the molecules, which causes the melting.a puddle of water evaporates - Heat is transferred to the water from the surroundings. The water molecules are moving in the liquid state. However, when more heat is introduced to the liquid, the molecules move more rapidly and evaporate.a puddle of water freezes into ice - Heat is transferred from the water to the surroundings --- water molecules slowing down as they go from a liquid state to a solid state. ABOUT HEAT TRANSFERHeat transfer is the transfer of energy due to the difference of temperature between two different places. The main discussion in heat transfer is how the energy in heat can move places and the rate of transfer under certain conditions. Heat transfer includes the processes of inflow and outflow of heat. In industrial processes, heat transfer is used to achieve the required temperature in the industrial process and maintain the required temperature throughout the process.
Heat transfer from one object to another can occur by conduction, convection, and radiation. The determinant of heat transfer is the temperature difference. The direction of heat transfer starts from a medium with a high temperature to a medium with a lower temperature. Heat transfer can occur with a single process or multiple processes.
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A imple pendulum ha a period of 3 econd. If the value of ‘g’ i taken a 9. 98 m-2 calculate the length of the pendulum
Answer:
T (Period) = 2 π (L / g)^1/2 for a simple pendulum
L = g * T^2 / (4 π^2)
L = 9.98 m/s^2 * 9 s^2 / 39.5 = 2.27 m
At an outdoor physies demonstration, a delay of 0.50 second was observed between the time sound waves left a loudspeaker and the time these sound waves reached a student through the air. If the air is at STP, how far was the student from the speaker? (1) 1.5 × 10-m (91.7 × 102 m (3) 6.6 × 10? m (4) 1.5 × 108 m
The distance that is covered by the sound is 1.66 * 10^2 m.
What is the distance?We know that sound is a mechanical wave. The implication of this is that sound woulod need to have a medium through which the sound can be able to travel. The speed of sound in the various media through which the sound travels is not the same.
We know that the speed of sound in air is 331 m/s and we have to use this in our calculations.
Distance = speed * time
Distance = 331 m/s * 0.5 s
= 1.66 * 10^2 m
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If a bird lands on a tree, is that an example of speed, velocity, or acceleration?
Mercury thermometer is not suitable to measure the temperature of very cold place. Why?
The use of a mercury thermometer is not suitable for the purpose of determining the temperature of extremely cold ice because at such low temperatures, mercury transforms into a translucent state, making it impossible to read.
Another reasons why mercury thermometer is not suitable to measure the temperature of the very cold place are:
Since mercury freezes at a temperature of -38.83 degrees Celsius, a mercury thermometer will not work in extremely cold temperatures. We are unable to use a thermometer that contains mercury at low temperatures because the glass could shatter at those temperatures.The body whose temperature we are measuring with the thermometer does not radiate heat in the opposite direction.When exposed to low temperatures, mercury takes on a transparent appearance, making it more challenging to obtain accurate readings.To learn more about mercury thermometer, click here:
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how would you describe the atmosphere to a friend.
-We are discussing the book Paulo's Parachute Mission-
Answer:
its a shield that can protect us from super hot rays and all though ita not that strong atleast we wont get burned to death lol :)
a typical gps satellites orbit at an altitude of 2.0 x10^7 m. find (a) the orbital period, and (b) the orbital speed of such a satellite
the orbital period is 7200sec or 2hours and orbital speed is 7,27m/s
(a) The orbital period of a satellite is the time it takes for the satellite to make one full orbit around the Earth. To calculate the orbital period, we can use the equation: T = 2 * pi * (a^3/GM)^(1/2) where T is the orbital period, a is the semi-major axis of the orbit (which is equal to the altitude of the satellite), pi is approximately 3.14, G is the gravitational constant (approximately 6.67 x 10^-11 m^3/kgs^2), and M is the mass of the Earth (approximately 5.98 x 10^24 kg).Plugging in the given altitude of 2.0 x 10^7 m for a and the known values for pi, G, and M, we get:
T = 2 * pi * (2.0 x 10^7 m)^3/ (6.67 x 10^-11 m^3/kgs^2 * 5.98 x 10^24 kg)^(1/2)
Simplifying, we get:
T = 2 * pi * (8.0 x 10^21 m^3/ (4.03 x 10^34 kg*m^3/s^2))^(1/2)
T = 2 * pi * (1.98 x 10^13 s^2/kg)^(1/2)
T = 7200 sec (or 2 hours)
(b) The orbital speed is the distance traveled by the satellite in one hour. We can calculate the orbital speed using the equation v = 2πa/T
Plugging in the values of a and T we get :
v = 2π (2.0 x 10^7 m) / 7200 sec
v = 7,27 m/s
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Runner A is initially 2.0 mi west of a flagpole and is running with a constant velocity of 8.0 mi/h due east. Runner B is initially 9.0 mi east of the flagpole and is running with a constant velocity of 4.0 mi/h due west. How far are the runners from the flagpole when they meet?
The definition of constant velocity is the speed of a moving object that doesn't change over time. The system travelling at a constant speed is subject to zero net acceleration.
What distinguishes instantaneous velocity from average velocity?In contrast to instantaneous velocity, which is determined by slope of tangent line, average speed is defined as the shift in location (or displacement) during the course of transit.
Which of the four main claims about how a body can accelerate even when it has no velocity is untrue?Speed is the measure of velocity in magnitude. As a result, it is impossible to have two objects moving at the same velocity. The right response is therefore option A.
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In the four-stroke internal combustion engine, fuel is ignited during the ~A. Compression B. Power C. Intake D.~ Exhaust stroke.
Answer:
Explanation:
Compression
Answer:
The answer is power
Explanation:
The power stroke is when fuel is ignited
For a series circuit, as lights are added, the voltage across each bulb increases/ decreases/ remains the same ?
For a series circuit, as lights are added, the current across each bulb increases/ decreases/ or remains the same ?
For a series circuit, as lights are added, the current across each bulb decreases.
1 pts What is the work required to raise a 25.0 kg object from the surface of the Earth to a height of 3.33 m
The work required to raise a 25.0 kg object from the surface of the earth to a height of 3.33 m
Formula: F = 25.0, D = 3.33, and W =?
W = F x D
Putting values together equals 25.0 x 3.33 W = 83.25 j.
Work = force times distance, or W = Fd.
F = W/d for force
Distance: W/F = d
W = work, F = force, and D = distance.
The integral of such a force applied over a displacement distance is referred to as "work." When one engages in work, they are doing something that requires them to use their strength or force.
When energy is transferred to an item, it is considered to have undergone work in science.
The integral of such a force applied over a displacement distance is referred to as work. When one engages in work, they are doing something that requires them to use their strength or force.
When energy is transferred to an item, it is considered to have undergone work in science.
The physics formula for work
The physics equation or formula is:
W = Fd
Work (force times distance)
For force, F = W/d.
Distance: W/F = d
The scalar dot product of force and displacement also yields work.
FDCos = W
Work-related SI unit :
Joule is the SI unit of work (J). The work performed by a force of one newton operating over a distance of one meter is defined as one joule in this context. kgm2s-2 is the SI base unit of work.
Work can be defined as the quantity of energy that a force transfers. Calculate work Another name for physics is the joule calculator. Work is represented by the letter "W."
Work is defined as a motion that is caused by a resisting force and is quantified by the force's product into the motion component that is resolved in the force's direction. The size of it is ML2T-2.
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The direction of the velocity of the planet is _______________________ (alwaysThe direction of the velocity of the planet is _______________________ (always, seldom, never) perpendicular to the net force acting upon the planet., seldom, never) perpendicular to the net force acting upon the planet.
According to the satellites' orbits and the speed at which they move, it either happens frequently or always.
As we begin to examine satellite orbits, we find that a circular orbit places the satellite always perpendicular to the object's net force and speed.
The orbit is stretched, just like in elliptical orbits. This informs us that the orbit has four points. As a result, the satellite rarely faces the satellite's net force in a perpendicular direction.
Rarely and always for elliptical orbits. According to the satellites' orbits and the speed at which they move, it either happens frequently or always.
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