The work done by the ordinary and electric bicycle are 235 KJ and 250 KJ respectively and the output power of ordinary and electric bicycle are 0.3 KW and 0.35 KW respectively.
W = F d cos θ
P = W / t
W = Work done
F = Force
d = Distance
P = Power
t = Time
θ = 0
d = 5 km = 5000 m
For Electric bicycle
F = 50 N
t = 12 min = 720 s
W = 50 * 5000 * cos 0
W = 250000 J
W = 250 KJ
P = 250 / 720
P = 0.35 KW
For ordinary bicycle,
F = 47 N
t = 13 min = 780 s
W = 47 * 5000 * cos 0
W = 235000 J
W = 235 KJ
P = 235 / 780
P = 0.3 KW
Therefore, the work done by the ordinary and electric bicycle are 235 KJ and 250 KJ respectively and the output power of ordinary and electric bicycle are 0.3 KW and 0.35 KW respectively.
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A 100.0 g arrow is pulled back 30.0 cm against a bowstring. The bowstring's spring constant is
1250 N/m. What speed will the arrow have when it leaves the bowstring if the arrow is shot horizontally?
Velocity of the arrow while leaving the bow is 33.54 m/s.
What is kinetic energy?Kinetic energy is the energy that an object has when it is in motion. If you want to accelerate an object you have to apply a force. To add strength, we need our work. When the work is done, the energy is transferred to the object and it moves at a new constant speed.
Energy stored in the string = Kinetic energy of the arrow.
1/2(ke²) = 1/2(mv²)
Where k = spring constant of the bowstring
e = extension
m = mass of the arrow
v = velocity of the arrow.
Let's make v the subject of this equation
v = √(ke²/m)
Given: k = 1250 N/m
e = 30 cm or 0.3 m
m = 100 g or 0.1 kg
Substitute the values into the equation:
v = √(1250×0.30²/0.1)
v = √(1125)
v = 33.54 m/s
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when the top 2 waves are added together, the result is the bottom wave. the bottom wave is an example of
When two waves collide while moving across the same medium, wave interference is the result.
What happens when 2 waves meet?When two waves collide, they cause each other's displacement to change, creating a totally new wave in the process. The amplitude of the resulting wave at each point is determined by adding the amplitudes of each wave, according to the principle of superposition.Sound waves interact when they share a space with one another.The waves pass through each other instead than off of one another. Depending on how the waves align, a wave will result.The two waves will combine into a temporary, larger wave with an amplitude equal to the sum of their individual amplitudes if their crests and troughs completely line up. Constructive interference is what this is.To Learn more About wave interference refer to :
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the 20-g centrifuge at nasa's ames research center in mountain view, california, is a horizontal, cylindrical tube 58.0 ft long and is represented in the figure below. assume an astronaut in training sits in a seat at one end, facing the axis of rotation 29.0 ft away. determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 10.6g.
In rotations per second, the rotation rate is The angular speed in revolutions per second can then be converted to radians per second by dividing that time by 10.
Explain about the centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any object moving in a circle with an acceleration vector pointing in the direction of the circle's center.
An object must continuously change directions in order to maintain circular motion. Changes in direction result in changes in velocity because velocity is a vector. Centripetal acceleration is the term for the change in velocity caused by circular motion.
A net force that keeps an object moving in a circular motion is known as a centripetal force. Examples of centripetal force include the rotation of the top and the moon's orbit around the earth.
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a 0.20-kg ball on a stick is whirled on a vertical circle at a constant speed. when the ball is at the three o'clock position, the stick tension is 16 n. find the tensions in the stick when the ball is at the twelve o'clock and at the six o'clock positio
The tension when the stick is at six o clock will be 17.96 N and when the stick will be on 12 o clock the tension will be 14.04 N.
What is tension and how the tensions are calculated out to be so ?Tension is actually the force acting and that both have same unit Newton whose formula is T =mg + ma.Here the question is saying that0.20 kg ball in a stick is whirled on a circle at a constant speed.When the stick would be at 6 position , T6 = mg+T3 = 0.2 x 9.8 +16 = 17.96 N.When the stick would be at 12 position, T12 = T3-mg = 16- o.2x9.8 = 14.04N.Hence when a 0.20 kg ball on a stick whirling on a verticle circle at constant speed , the tension at six and twelve will be 17.96 N and 14.04N respectively.To know more about speed visit:
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a small truck has a mass of 2095 kg. how much work is required to decrease the speed of the vehicle from 25.0 m/s to 15.0 m/s on a level road?
The vehicle needs to do 515872.5 Joule of labor in order to reduce its speed from 25 m/s to 12 m/s when a small truck has a mass of 2095 kg.
What exactly is speed?
the rate at which the position of an object changes in any direction. The ratio of distance traveled to the time required to travel that distance is known as speed. Speed is a scalar quantity because it has no magnitude and only a direction. The SI unit of speed is made up of the fundamental units of time and distance. The speed measurement in the metric system is measured in meters per second. Work is defined as the energy that is moved to or from an item by exerting force along a displacement. It is easiest to express as the product of force magnitude and distance traveled with a constant force acting in the same direction as the motion.
According to the International System of Units, a joule is a unit of work.
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Which statement is true regarding a distance vs. time graph? (1 point)
O The graph should show distance on the vertical axis.
O The graph can include only straight line segments.
O The graph must have a horizontal segment.
O The graph needs to start at the origin.
The statement that is true regarding a distance vs. time graph is option A: The graph should show distance on the vertical axis.
Where is the plot of distance?How far an object has come in a certain amount of time is displayed on a distance-time graph. Time is represented on the X-axis and Distance is plotted on the Y-axis (left) (bottom).
On a distance-time graph, an object's motion is indicated by a sloping line. The slope or gradient of the line in a distance-time graph is equal to the object's speed. The object is travelling more quickly the steeper the line is (and the bigger the gradient).
Note that the distance-time graph shows the relationship between distance and time by plotting distance on the y-axis and time on the x-axis.
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Answer:
(Question) Which quantity is scalar?
(Answer) Energy
(Question) Which option describes a vector quantity?
(Answer) It has magnitude, units, and direction.
(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?
(Answer) It describes displacement, which is a vector quantity.
(Question) Which statement is true regarding a distance vs. time graph?
(Answer) The graph should show distance on the vertical axis.
(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates
(Answer) motion in the positive direction.
Explanation:
just finished the quick check UwU
if the sun were replaced by a one-solar-mass black hole, group of answer choices our clocks would all stop. we would immediately escape into deep space, driven out by its radiation. we would still orbit it in a period of one year. all terrestrial planets would fall in immediately. life here would be unchanged.
we would still orbit it in a period of one year if the Sun were to be replaced with an equally huge black hole.
What if Sun is replaced by black hole?All of the planets would continue to orbit the black hole in their current positions at a safe distance if the Sun were to be replaced with an equally huge black hole.Without the Sun's heat and light, life would be impossible, yet Earth would still exist.The Sun would still be in the center of Earth's orbit.It goes without saying that the Earth's temperature would alter and that we wouldn't be affected by solar winds or solar magnetic storms.we would still orbit it in a period of one year if the Sun were to be replaced with an equally huge black hole.To learn more about Black hole refer,
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3) mary looked in her science book at a picture of the solar system. the planets were large and colorful but she knew it was not an accurate model. why?
mary looked in her science book at a picture of the solar system. the planets were large and colorful but she knew it was not an accurate model. The planets should have been much farther apart.
The gravitationally bound system of the Sun and the satellites in its orbit is referred to as the Solar System. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. The Sun is the system's primary mass, accounting for 99.86% of its total mass, with Jupiter making up the majority of the remaining mass. Mercury, Venus, Earth, and Mars are the four planets in the inner solar system, and they are all terrestrial planets with rocky and metallic cores. In comparison to the terrestrial planets, the four giant planets of the outer solar system are significantly bigger and more massive. The two biggest, Jupiter and Saturn, are gas giants made primarily of hydrogen and helium; the next two, Uranus and Neptune, are ice giants made primarily of highly volatile substances.
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the airplane in the image below is flying horizontally (parallel to the ground) with a velocity of 65.0 m/s and an altitude of315 m when it releases a care package. if we ignore air resistance, how far (measured in meters)will the package travel along the horizontal,x-dimension (range) before hitting the ground?
The package travel along the horizontal 516.1 m before hitting the ground.
When an object was released from a plane with a constant speed, the object also has a gravity force. So the object has a projectile motion.
Along the x-axis, the object gets uniform velocity.If the problem didn't give the magnitude of the acceleration due to gravity, we can assume it's 10 m/s².
Calculate elapsed time.
[tex]h = \frac{1}{2} gt^2[/tex]
[tex]315 = \frac{1}{2} \times 10 \times t^2[/tex]
315 = 5 × t²
[tex]t^2 = \frac{315}{5}[/tex]
t² = 63
[tex]t = \sqrt{63}[/tex]
t = 7.94 s
Calculate the displacement.
d = uₓ × t
d = 65.0 × 7.94
d = 516.1 m
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What single color of light illuminating a ripe banana will make it appear black?.
The single color of light illuminating a ripe banana will make it appear black will be blue light.
When lit with blue light, ripe bananas appear black. Yellow is a combination of red and green, so if blue light is flashed onto a yellow banana, the fruit will absorb the blue light, leaving nothing for the banana to reflect. The banana seems black to the eyes because there is nothing for them to reflect back to them. So, when viewed with blue light, a ripe banana appears black.
A red shirt would seem black if only blue light were shined on it because no red light would be there to reflect the blue light, which would otherwise absorb it. Ripe bananas adhere to the same standard and also white objects, which seem white because they reflect all colors.
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a horizontal spring with spring constant 250 nv/m is compressed 12 cm and used to launch a 250 g box across the floor. the coefficient of kinetic friction between the box and the floor is 0.23. what is the box's launch speed?
Therefore, the lunch speed of the box is 3.72m/s
What is kinetic friction ?
Kinetic friction is a force that exists between moving surfaces. A body moving on the surface is subjected to a force that is directed in the opposite direction of its movement. The size of the force is determined by the kinetic friction coefficient of the two materials.
Friction is simply the force that holds a sliding object back. Kinetic friction is present in everything and interferes with the motion of two or more objects. The force acts in the opposite direction of the object's desire to slide.
The integration of force due to spring with respect to spring is equal to the potential energy of the spring.
U=∫-Fdx
Here, U is the potential energy.
U= 1/2k[tex]x^{2}[/tex]
U= 1.8J
The final kinetic energy of the box is,
K= 1/2m[tex]v^{2}[/tex]
v=3.72m/s
The system's total potential energy equals the work done owing to kinetic friction. Using the law of conservation of energy, the sum of the energies obtained before compressing the spring equals the sum of energies obtained after expanding the spring.
Therefore, the lunch speed of the box is 3.72m/s
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a plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive direction of an x axis. the electric field, of amplitude 300 v/m, oscillates parallel to the y axis. what are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) what is the amplitude of the magnetic field component? (e) parallel to which axis does the magnetic field oscillate? (f) what is the time-averaged rate of energy flow in watts per square meter associated with this wave? the wave uniformly illuminates a surface of area 2.0 m2. if the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure on the surface?
Since, we know that magnetic field is always perpendicular to the z axis or electric field.
Calculation:-
lambda = 2.8m
v = 3*10^8m/s
v = f(lambda)
(a) f = 1.07*10^8hz
(b)angular frequency = 2pif
= 6.72*10^8rad/s
(c) wave number = 2pi/lambda
= 2.24
(d) B=E/c
= 300/(3*10^8)
=10^-6Tesla
(e) Magnetic discipline is perpendicular to wave propagation and electric powered subject
The magnetic discipline is perpendicular to the z-axis.
Electromagnetic waves are non-mechanical waves. Electromagnetic waves do no longer require a medium to propagate and may without problems pass via a vacuum. Electromagnetic waves propagate in all guidelines from the source of interference. The wave will keep transferring till something interrupts it. Electromagnetic waves vary from mechanical waves in that they do no longer require a medium for propagation.
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a child pulls a friend in a little wagon with constant speed. if the child pulls with the force of 16 n for 10.0 m and the handle of the wagon is inclined 25 degrees with respect to the horizontal, how much work does the child do on the wagon?
The work done by the child on the wagon is 158.4 J
Work done is defined as the product of the force applied on the object and the component of distance traveled by the object in the direction of the force. Mathematically,
W = FdCosθ
where,
W = work done = ?
F = force applied = 16 N
d = displacement = 10 m
θ = angle of inclination = 25°
Therefore,
W = (16 N) (10 m)Cos(25°)
W = 158.4 J
Hence, work done by the child on the wagon is 158.4 J
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an astronaut weighs 99 n on the moon, where the acceleration of gravity is 1.62 m/s2. how much does she weigh on earth? group of answer choices 600 n 440 n 61 n 16 n 99 n
On the moon, where gravity accelerates at 1.62 m/s2, an astronaut weighs 99 n, but their weight on Earth is 600 Newton(option a is correct).
Work done = Mass * Acceleration due to gravity
99=m*1.62
m=61.11kg
W=mg 61.11*9.8=598.89N = 600N= Weight on Earth
The acceleration of an item refers to the pace at which its velocity with respect to time varies. The number of accelerations in a vector (in that they have magnitude and direction). An object's acceleration in respect to a net force is determined by the direction of that force. Newton's Second Law states that the combined effects of two elements determine how much an item accelerates:
The amount of this net resultant force is exactly proportional to the size of the net balance of all external forces operating on that item. Depending on the materials used in construction, mass and mass are inversely connected.
Acceleration is measured in meters per second squared (m/s2).
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a he-ne laser emits wavelength of 633 nm. its beam diameter is 1 mm. find the minimum angular spread due to diffraction.
The minimum angular spread due to diffraction is 633×10⁻⁹m.
What is diffraction-induced spread?The spread of the spot (obtained on the opposite wall of the camera) is thought to equal the total of its geometrical spread and the spread caused by diffraction when the hole is lit by a parallel beam of light with wavelength lambda.
When waves flow through an aperture or around objects, they spread out, which is referred to as diffraction. It happens when the wavelength of the incident wave and the size of the aperture or obstruction are on the same order of magnitude. The majority of the wave is blocked at extremely small aperture diameters.
Minimum angular spread due to diffraction (θ) = λ/b
Given.
Wavelength = 633nm = 633×10⁻⁹m
Beam diameter is 1mm.
Minimum angular spread due to diffraction (θ) = 633×10⁻⁹m/1
Minimum angular spread due to diffraction (θ) = 633×10⁻⁹m.
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For a skateboard with a negative acceleration, which of the following statements is always true?
1. The initial velocity of the skateboard will be greater than it’s final velocity.
2. The skateboard will have a negative displacement.
3. The final velocity of the skateboard will be positive.
4. The final velocity of the skateboard will be negative
5. The skateboard is losing speed
With a negative acceleration, the skateboard's beginning velocity will be higher than its end velocity.
The correcty answer is 1
How do you calculate beginning velocity in the absence of time?Based on the assumption that the object's energy is conserved, its velocity equals the square root of twice square product of the its acceleration or the distance it travels. This relationship also depends on the object's initial velocity.
What are starting and final velocities?When gravity first exerts force on an object, its initial velocity indicates how quickly it moves. The final velocity, on the other hand, is a vector quantity that determines the rate and direction of the a moving body when it has reached its maximum velocity.
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in a solar system far, far away the sun's intensity is 200 w/m2 for an inner planet located a distance r away. what is the sun's intensity for an outer planet located at a distance 6 r from the sun?
The sun's intensity for an outer planet located at a distance 6r from the sun is 5.55 W/m². The result is obtained by using the inverse square law formula.
What is the Inverse Square Law formula?The Inverse Square Law formula describes the intensity of light is inversely proportional to the square of the distance. It can be expressed as
[tex]\frac{I_{1} }{I_{2} } = \frac{d_{2}^{2} }{d_{1}^{2}}[/tex]
Where
I₁ = Intensity at distance 1 (W/m²)I₂ = Intensity at distance 2 (W/m²)d₁ = distance 1 from a light source (m)d₂ = distance 2 from a light source (m)Given the case the sun's intensity is 200 W/m² for an inner planet at the distance r. If an outer planet is at a distance 6r, what is the sun's intensity?
By using the inverse square law formula, the sun's intensity for an outer planet is
[tex]\frac{I_{1} }{I_{2} } = \frac{d_{2}^{2} }{d_{1}^{2}}[/tex]
[tex]\frac{200 }{I_{2} } = \frac{(6r)^{2} }{r^{2}}[/tex]
[tex]\frac{200 }{I_{2} } = \frac{36r^{2} }{r^{2}}[/tex]
[tex]I_{2} = \frac{200} {36}[/tex]
I₂ = 5.55 W/m²
Hence, the sun's intensity for a planet at a distance 6r from the sun is 5.55 W/m².
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what is the average flow rate in cm3/s of gasoline to the engine of a car traveling at 104 km/h if it averages 8.0 km/l? (you do not need to enter any units.)
The average flow rate is 3.611 cm^3/s
The speed V is = 104Km/h
The velocity of vehicle z is = 8km/l
Qavg = V/Z
= 104/8 =13
= 13 (1000)/1(3600)
Qavg = 3.611 cm^3/s
The physical parameters flow rate and velocity are linked yet very distinct. Consider a river's flow rate to help you understand the difference. The flow rate of the river increases as water velocity increases. However, the size of the river also affects the flow rate. The Amazon River in Brazil, for instance, carries much more water than a swift alpine stream. When A is the cross-sectional area and v is the average velocity, the flow rate Q and velocity v are precisely related. This equation seems to make sense. According to the relationship, the size of a river, pipe, or other body of water as well as the magnitude of the average velocity (hereinafter referred to as the speed) directly affect the flow rate.
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an ideal spring is used to stop blocks as they slide along a table without friction. a 0.90 kg block traveling at a speed of 2.4 m/s can be stopped over a distance of 0.14 m once it makes contact with the spring. a rectangular block on a level surface moves at velocity v to the right towards a spring that rests on the surface and is attached to a fixed mount on the right. what distance would a 1.15 kg block travel after making contact with the spring if the block is traveling at a speed of 3.6 m/s before it makes contact with the spring?
The distance moved by the block as follows by using Law of conservation energy is 0.0173N/m.
Apply law of conservation energy is,
1/2m1v1^2 = 1/2 k1x1^2
k1 = m1 v1^2/x1^2
=117.5 N/m
1.15 Kg block :-
1/2m2v2^2 = 1/2 k1x2^2
x2 =[tex]\sqrt{m2v2^{2} }[/tex]/ k1
x2 = 0.0173 N/m
According to the law of conservation of energy, a system that isn't connected to any other system has a fixed amount of total energy that is considered to be preserved over time. Energy cannot be created or destroyed; it can only be transformed or transferred from one form to another, Traditionally, conservation of mass and energy were separate concepts. However, special relativity demonstrated how mass and energy are related to one another through the equation E = mc2, and as a result, science now holds that mass-energy are conserved as a whole. This implies that any mass-containing object can theoretically transform into pure energy and vice versa. However, it is thought that this is only feasible under the most extreme physical circumstances, such as those that probably existed in the universe right after the Big Bang or when black holes emit Hawking radiation.
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A metal block of mass 5kg lies on a horizontal platform. if a horizontal force of 8n applied to the block through its centre of mass just slides the block on the platform. what will be the coefficient of limiting friction between the block and the platform
Answer: the coefficient would be either 4 or 5
Explanation:
1. why does each light beam pass through the flat surface without deviation, but get refracted (i.e. deflected) at the curved surface on the far side?
Light beam pass through the flat surface without deviation, but get refracted (i.e., deflected) at the curved surface on the far side as it may be at 90° to the curved surface.
What is Refraction of light?Refraction is the term for the bending of light as it passes through transparent materials (it also occurs with sound, water, and other waves).We are able to create lenses, magnifying glasses, prisms, and rainbows because of this bending caused by refraction. Even our eyes rely on this light bending. We wouldn't be able to concentrate light onto our retina without refraction.When light enters a material with a differing refractive index at an angle, it refracts (optical density).A shift in speed is what led to this direction change. For instance, light slows down as it passes through water from air and continues to move at a new angle or direction.Two factors determine how much bending occurs:Change in speed: A substance will refract (bend) or speed up or slow down the light more if it does so.Angle of the incident ray: The amount of refraction will also be more apparent if light is entering the substance at a larger angle.On the other hand, the light will continue to slow down and remain pointed in the same direction if it enters the new substance straight on (at 90° to the surface).To learn more about Refraction of light, refer to
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What accounts for the light and dark bands produced when monochromatic light reflects from a glass pane atop another glass pane?.
The waves that are reflected off the glass on the top and bottom surfaces of the air wedge interfere, which results in these bands. Interference between light waves reflected from the thin film's two sides.
Define monochromatic light.Electromagnetic radiation of a certain wavelength, whether visible or invisible, is monochromatic light.
Although in theory monochromatic light has exactly one wavelength, this is not practical, hence monochromatic light always comprises of a (relatively) narrow bandwidth of wavelengths. The color that the human eye can see when monochromatic light is in the visible spectral range is referred to as the spectral color. Lasers produce monochromatic light directly; a monochromator separates monochromatic light from a broadband light source.
Monochromatic light should only have one wavelength, according to theory. Monochromatic light is actually defined as having a narrow bandwidth.
A monochromator can be used to separate monochromatic light from polychromatic light.
In the visible wavelength range, monochromatic light is regarded as having spectral color.
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what is the average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second?
The average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second is 4.16 ms.
What is the average rotational latency?Half as long as it takes the disk to complete a full spin, that is how long the rotational delay is. Rotational speed is the rate at which an object revolves or rotates. It is determined by how many rotations an item completes in a given amount of time, unlike linear speed. Rotational speed is calculated as rotations per unit of time, whereas linear speed is calculated as distance per unit of time.Rotational delay is at its worst at 7200 RPM and is typically half that at 8.33 milliseconds (4.17 ms).Rotational lag on average: 4.16 msTypical search time: 8 msMax seek: 10.5 msTo learn more about rotational latency refer to:
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rgb color television and computer displays use cathode ray tubes that produce colors by mixing red, green, and blue light. if we look at the screen with a magnifying glass, we can see individual dots turn on and off as the colors change. using a spectrum of visible light, determine the approximate wavelength of each of these colors. what is the frequency and energy of a photon of each of these colors?
The frequency and energy of a photo of each of the colors indicated above are calculated using the formula for the frequency of light and the formula for energy in relation to Planck's constant.
What is the equation for energy and Frequency?
In this case, the formula for energy and frequency is given as follows:
E = Hv
Where
E - Energy (in eV)
h - Planck's constant (4.1357 x 10⁻15 eVs)
v-frequency (in Hz)
v = c/λ
Where,
v - frequency (Hz)
c - speed of light (3x 10⁸) ms⁻¹
λ - wavelength (in meters)
The energy of the photon for Red light is given as follows:
E = (4.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 1.902 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[650x×10⁻¹⁹m]
v = 4.6 x 10¹⁴Hz
For Green light:
Energy is given as:
E = (5.4 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.234 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[550x×10⁻¹⁹m]
v = 5.4 x 10¹⁴Hz
For Blue light:
Energy is given as:
E = (6.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.729 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[450x×10⁻¹⁹m]
v = 6.6 x 10¹⁴Hz
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what is the lift (in newtons) due to bernoulli's principle on a wing of area 87 m2 if the air passes over the top and bottom surfaces at speeds of 250 m/s and 170 m/s , respectively?
Bernoulli's principle produces a lift of 3770928N on a 87m²wing.
What constitutes Bernoulli's principle's foundation?According to Bernoulli's principle, areas of a fluid flow that are moving more quickly will experience less pressure than areas that are moving more slowly.
The following memorable word equation serves as a concise summary of Bernoulli's equation in its simplified form: Total pressure equals static pressure plus dynamic pressure. Regardless of the fluid speed at a given position, every point in a constantly flowing fluid has a distinct static pressure (p) and dynamic pressure (q).
Bernoulli's principle states that the following expression represents force:
F = A × d × V²₂ - V₁²/2
F = 87 × 1.29 × (250² - 170²)/2
F = 112.23 × 33600
F = 3770928N
As a result, a wing with an area of 87 m² has a lift of 3770928N.
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Explain the relationships you see in your data tables, and whether they agree with Newton’s Second Law of Motion (Fnet=ma).
3rd and 6th row in second table do not agrees with the equation ( Force = mass * acceleration ) , rest follows the equation
There is a relation between force , mass and acceleration of the body , in a such a way that it agrees with newton's third law which is Force = mass * acceleration
All the given data in the table follows this relation except where
mass = 150 kg
a = 0.67 [tex]m/s^{2}[/tex]
F (given ) = 100 N
calculated force = ma = 150 * 0.67 = 100.5 N
mass = 300 kg
force (given) = 100 N
a = 0.33 [tex]m/s^{2}[/tex]
calculated force = ma = 300 * 0.33 = 99 N
rest of the data completely follow the equation F = ma
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a solid sphere has a radius of 0.200 m and a mass of 150 kg. how much work is required to get the sphere rolling with an angular speed of 50.0 rad/s on a horizontal surface? assume the sphere starts from rest and rolls witho
Work done on sphere is 10500 J.
Kinetic energy = 1/2 [tex]iw^{2}[/tex] + 1/2 [tex]m v^{2}[/tex]
I = 2/5 [tex]m R^{2}[/tex]
w = [tex]\frac{v}{r}[/tex]
Now, put these values in formula KE = 1/2 [tex]iw^{2}[/tex] + 1/2 [tex]m v^{2}[/tex]
KE = 10500 J
Now, by work energy theorem
Work done = 10500 - 0 = 10500 J
Hence, Work done on sphere is 10500 J.
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1. If you wanted to make a piece of silk fabric become negatively charged, what might you rub it with? Explain your reason.
2. If you wanted to make a piece of silk fabric become positively charged, what might you rub it with? Explain your reason.
The silk can get a negative charge if it is rubbed against iron rod and it can get a positive charge if it is rubbed against hair.
How to make charges?We know that a charge is made when there is either an excess or a deficit of electrons. When there is an excess of the positive charge on an object, we can say that the object ha become positively charged. If there is an excess of negative charges, we can say that the material is negatively charged. We now want to determine how we could make silk to become positively or negatively charged.
If we want the silk to have a negative charge then we have to rub the silk with a glass rod. If the silk is rubbed with a glass rod, what would happen is that electrons would be transferred from the rod to the silk leaving the silk with a negative charge.
If you want the silk to have a positive charge, you could rub it against hair. In that way, the hair would get an negative charge while excess electrons are transferred to the silk making it to have a positive charge.
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Calculate the efficiency of a machine that requires 20 J of input work to do 10 J of output work. What is the efficiency of the machine? (in percent, but write the number only)
The efficiency of the machine is ξ= 50%.
Given - 20 joules and 30 joules are input and output work of the system respectively.
To find the efficiency of the system.
principle ;- Efficiency represents the capability of a system to do work .
Mathematically , efficiency has an equation that relates the input and output work and accurately provides the result.
Formula - ξ= οₙ/Iₙ x 100
οₙ = output work , Iₙ= input work
Calculations :- ξ= { 10/20 }x 100
ξ= 50%
Result- The Efficiency of the machine is 50%.
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What is the velocity of an orange that falls from the rest for 2.17 seconds
The final velocity of the orange will be equal to 21.27 m/s.
What is the equation of motion?The equations of motion have established the relationship between the acceleration, velocity, time, and displacement (s) of a moving object.
The equations of motions can be mathematically expressed as:
[tex]v = u +at\\S=ut +\frac{1}{2}at^2\\ v^2-u^2=2aS[/tex]
Given, the velocity of the orange was at rest initially, therefore, u = 0
The time taken by the orange to fall, t = 2.17 s
The acceleration of orange due to gravity, g = 9.8 m/s²
From the first equation of motion, we can find the final velocity after 2.17 s:
v = u +gt
v = 0 + (9.8) × 2.17
v = 21.27 m/s
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