The skateboard that moves a greater distance will have done more work than the one that moves a smaller distance.
Work is defined as the amount of energy required to move an object over a certain distance, and it is calculated by multiplying the force applied to the object by the distance over which the force is applied.
In this case, if the same force is applied to two skateboards, the skateboard that rolls across the room will have done more work than the other one that moves a few feet and comes to stop.
This is because the work done is directly proportional to the distance over which the force is applied, the skateboard that moves a greater distance will have done more work than the one that moves a smaller distance.
Note that work is a scalar quantity and not a vector one, it means that work can be positive or negative but the direction is not important, also the force applied and the distance over which the force is applied must be in the same direction.
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true/false. a three-dimensional isotropic harmonic oscillator with hamiltonian is an instance of quantum mechnaical systems where a particle mass m is exposed to a spherically-symmetric potential
True that a three-dimensional isotropic harmonic oscillator with Hamiltonian is an instance of quantum mechanical systems where a particle is exposed to a spherically-symmetric potential.
What is an isotropic harmonic oscillator, exactly?The defining matrix referring of U has a component called the N-dimensional isotropic harmonic oscillator (N). The energy is confined, similar to the one-dimensional situation. Using the analogy of N separate one-dimensional oscillators, we would anticipate that the ground state energy is N times the one-dimensional ground energy.
What does a harmonic oscillator's Hamiltonian look like?The Hamiltonian is given the form H = p2 2m + m2 x2 2, resulting in the Hamiltonian operator, H = p2 2m + m2 x2 2. thus gives the Hamiltonian operator, H = p2 2m + m2 x2 2, which is one of the most real challenges in quantum mechanics.
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the diameter of a hose is 10.0 times that of its nozzle. if the nozzle is 1.00 m higher than the pump which pushes the water, and the water flows through the hose at 0.400 m/s, what is the gauge pressure of the water at the pump?
The gauge pressure of the water at the pump 10.96 Pa.
What is gauge pressure?Gauge pressure is a type of pressure measurement that is relative to atmospheric pressure. It is calculated by taking the absolute pressure of a system and subtracting the atmospheric pressure from it. Gauge pressure is often used to measure the pressure of a closed system, like a tire or an air conditioning unit, because it is easier to measure than absolute pressure.
The pressure at the pump is equal to the difference in height between the pump and the nozzle multiplied by the acceleration due to gravity (9.8 m/s2) plus the kinetic energy of the water in the hose. The kinetic energy is equal to the velocity of the water squared, divided by two.
So the pressure at the pump is:
Pump Pressure = (1.00 m * 9.8 m/s2) + (0.400 m/s)2 / 2
Pump Pressure = 9.8 + 0.160
Pump Pressure = 10.96 Pa
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A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20 degree pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. a. Determine the force FB, assuming the shall is running at a constant speed.b. Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supporters. c. Draw shear-force and bending-moment diagrams for the shaft. If needed. make one set for the horizontal plane and another set tor the vertical plane. d. At the point of maximum bending moment, determine the bending stress and the torsional shear stress. e. At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.
The force FB, assuming the shall is running at a constant speed is 750lbf.
What are torsional stress and bending stress?The segment flexes due to the bending moment, and the section rotates due to the torque (torsional moment). A machine member is said to be in torsional when it is subjected to two equal and opposite couplings acting in a parallel plane. Torsional shear stress is the name for the tension that torsion creates. At the centroidal axis, it is zero, and at the outside surface, it is highest.
Ф= 20∘
FA=300 lbf
d=1.25in
summation Mt => f cos 20∘ x 4 = 300 cos20∘ x 10
Fb => 750lbf.
What forces are at work when bearing?a technique for determining out the optimal number of preload or initial axial compression between two tapered roller bearings. Two forces often act on a bearing since it typically enables a shaft to easily rotate about a rotational axis: a circular
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what innovation helped galileo observe the detail preserved in these sketches? (1 point) math that measured the size of planets mathematical theories by newton philosophical principles by descartes improved telescope technology
The telescope. The telescope is one of humankind's most important inventions. The earliest known telescope arose in 1608 in the Netherlands. Galileo invented it to prove that they were more than one planets.
Who was Galileo Galilei?Galileo Galilei was an Italian astronomer, physicist and engineer. He is popularly known as the "father of observational astronomy", "father of modern physics", "father of the scientific method", and the "father of modern science". He used to work by using the telescope for scientific observations of celestial objects.
Which telescope are capable of seeing saturn rings?The rings of Saturn are visible in even the smallest telescope at 25x. A good 3-inch scope at 50x can show them as a separate structure detached on all sides from the ball of the planet.
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you are given a hammer a battery above wires and switch how will you distinguish between samples of metal and nonmetal with the help of a hammer?
Answer:
One way to distinguish between samples of metal and nonmetal with the help of a hammer is by conducting a simple test called the "ring test." This test involves striking the sample with the hammer and listening for the sound it makes. Metals typically produce a clear, ringing sound when struck, while nonmetals produce a dull, thudding sound. Additionally, you can use a magnet to test if the sample is metal or not. If the sample is attracted to the magnet, it's likely to be a metal, if not it's likely to be a nonmetal.
A bullet moving with a speed of 200m/s can penetrate a plank 4cm thick. What should be the speed to penetrate the same plank up to 10 cm?
a coaxial cable is filled with lossless teflon, having a relative permittivity of 2.1. (teflon is nonmagnetic, so the relative permeability is unity.) how long with it take a signal to travel a one-meter length of the cable?
It would take 1.449 ns (newton-second) for a signal to travel one-meter length of the coaxial cable filled with lossless Teflon.
What is speed of light?The speed of light is a fundamental constant of physics that represents the fastest possible speed at which energy, matter, and information can travel in a vacuum. The speed of light is approximately 299,792,458 meters per second, or about 670,616,629 miles per hour.
The speed of an electromagnetic wave in a medium is given by the equation:
c is equal to 1 / sqrt (mu*epsilon r).
where c is the speed of light in a vacuum, mu_r is the relative permeability of the medium, and epsilon_r is the relative permittivity of the medium.
In this case, the medium is lossless Teflon, which has a relative permittivity of 2.1, and a relative permeability of 1 (since Teflon is nonmagnetic). Therefore, the speed of a signal in the cable is:
c = 1 / sqrt (1 * 2.1)
c = 1 / sqrt (2.1) = 1 / 1.447 = 0.69
The speed of signal in the coaxial cable is 0.69 times the speed of light in a vacuum.
To determine the time, it would take for a signal to travel one-meter length of the cable, we can divide the distance by the speed:
t = d / c
t = 1m / (0.69 * c)
t = 1.449 ns
So, it would take 1.449 ns for a signal to travel one-meter length of the coaxial cable filled with lossless Teflon.
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You face north and look down at the compass in your hands. Is the north end of the compass needle pointing in front of you, behind you, to your left or to your right?
Since you face north and look down at the compass in your hands. The north end of the compass needle would be pointing in front of you if you are facing north and looking down at the compass in your hands.
What is the compass about?A compass is a navigation tool that uses a magnetized needle to indicate the direction of magnetic north. The needle is suspended within a casing, which typically has a rotating bezel or housing marked with cardinal directions such as north, south, east, and west. The north end of the needle is typically painted or labeled differently than the south end to help identify it.
Therefore, When you face north and look down at the compass in your hands, the north end of the needle will point in the direction of magnetic north. Since you are facing north, the north end of the needle will point in front of you, towards the direction you are facing. This is because the needle aligns itself with the Earth's magnetic field and points towards the magnetic north pole.
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A book is on the table. If the weight of the book is 25 newtons, what is the magnitude and direction of the normal force?A.2.5 newtons in the downward directionB.2.5 newtons in the upward directionC.25 newtons in the upward directionD.25 newtons in the downward directionE.25 newtons perpendicular to the gravitational force
The normal force has a 25 N force magnitude and an upward force direction.
The force the book exerts on the table is downward-directed and equal to its weight, which is 25 N.
According to Newton's third law, every force an object A applies to an object B is balanced out by an equally strong force applied in the opposite direction to object A.
The book is object A in this instance, while the table is object B. According to Newton's third law, the table pulls on the book with a force that is both equal to and opposite to that of the force exerted by the table. As a result, the normal force's magnitude is the same as the weight of the book (25 N), while its direction is opposite.
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If the Sun's core suddenly shrank a little bit, what would happen in the Sun?
a.) The core would heat up, causing it to radiate so much energy that it would shrink even more.
b.) The core would heat up, fusion rates would increase, the core would re-expand.
c.) The density of the core would decrease, causing the core to cool off and expand.
d.) The core would cool off and continue to shrink as its density increased.
b.) The core would heat up, fusion rates would increase, the core would re-expand.
What is fusion?
Fusion is the process by which atomic nuclei come together to form a heavier nucleus, releasing large amounts of energy in the process. This is the process that powers the sun and other stars. The most common fusion reaction in the sun is the fusion of hydrogen nuclei to form helium. This reaction takes place in the sun's core, where the temperature is about 15 million degrees Celsius and the pressure is about 340 billion times Earth's atmospheric pressure.
If the sun's core suddenly shrank, the pressure and temperature inside the core would increase. This would cause the fusion rates of hydrogen nuclei to increase, releasing more energy and causing the core to heat up. The increased heat would cause the core to re-expand, as the increased energy would push against the outer layers of the core. The increase of fusion rates would also result in more helium being produced, which would cause the core to shrink again, but this is a slower process than the initial shrinkage.
Hence, if the core shrank a bit fusion rates would increase, the core would re-expand.
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Find the direction of the sum of these two vectors: 3.14 m B 30.0° -60.0° 2.71 m
PLEASE I NEED HELP! JUST FOR DIRECTION!!!
Answer:
-28.3°.
Explanation:
To find the direction of the sum of two vectors, we can use the head-to-tail method. This involves placing the tail of one vector at the head of the other vector and drawing a vector from the tail of the first vector to the head of the second vector.
Given the vectors: 3.14 m B 30.0° -60.0° 2.71 m
We can find the x and y components of the vectors first:
Vector 1: 3.14 m B 30.0°
x-component: 3.14 m * cos 30.0° = 2.67 m
y-component: 3.14 m * sin 30.0° = 1.57 m
Vector 2: -60.0° 2.71 m
x-component: 2.71 m * cos -60.0° = -1.36 m
y-component: 2.71 m * sin -60.0° = -2.12 m
To find the sum of the vectors, we add their x-components and y-components
x-component = 2.67 m + (-1.36 m) = 1.31 m
y-component = 1.57 m + (-2.12 m) = -0.55 m
The direction of the vector is the angle that the vector makes with the positive x-axis, so we can use the arctan function to find the angle:
Direction = arctan(y-component/x-component) = arctan(-0.55/1.31) = -28.3°
So the direction of the sum of the vectors is -28.3°.
how can I be used as an alternative energy sourcehow can I be used as an alternative energy source
Energy may be produced using solar, wind, hydropower, biomass, and geothermal energy without using fossil fuels, which overheat the globe.
How can water be utilised as a different energy source?There are two categories into which the two most popular water energy systems may be placed: hydropower and tidal power. Hydropower is a form of electrical energy produced by falling or moving water (kinetic energy). A turbine that is attached to a generator is turned by the flow of water.Since fossil fuels are not renewable and are exploited on a big scale, they will eventually run out of energy. We will be left with nothing when non-renewable energy sources run out, thus we are working to create alternative energy sources.To learn more about alternative energy refer to:
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how fast would a 4.2-m-long sports car have to be going past you in order for you to measure its length as only 3.948-m long?
So order for you measure length the sports car's length as being only 3.948 m long, it must be moving past you at cc.
What is used to measure length?Measuring length refers to determining the length of the any object using measuring instruments, such as a ruler, measurement tape, etc. For instance, a ruler can be used to calculate the width of a pencil in inches. A foot scale can be used to gauge each student's height in the class.
Where should length be measured?The length between two places or locations can be expressed as a metre (m), centimeter, or kilometer. A metre (m) is made up of 100 equal portions, each of which is known as a centimeter (cm).
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kennedy needs to rotate a picture by 45 degrees. she should do which of the following? a. flip the picture horizontally. b. flip the picture vertically. c. specify the amount of rotation in the layout dialogue box.
She should provide the amount of rotate in the Structure dialogue box in accordance with the provided statement.
What is the horizontal side?Horizontal refers to everything that is perpendicular to the horizon. Anything that forms a 90-degree connection (lateral relationship) well with horizontal or the zenith is referred to as vertical because it's the opposite of the horizontal. The line that spans as left to right is therefore considered to be horizontal.
What is the form of horizontally?A line graph is one that spans the page from left to right. A horizontal line in geometry is the one that crosses the page from left to right. In the notion that white lines are parallel toward the horizon, it stems from the term "horizon." Horizontally oriented.
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two negatively-charged bodies with - 5.0 x 10- 5 care 0.20 m from each other. what force acts on each particle?
According to the question the force acts on each particle is 561N.
What in science is a force?At this level, calling a force a push and perhaps a pull is entirely appropriate. A charge is not a feature an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.A shove or pull that an object experiences as a result of interacting with another item is known as a force.
Q = 5.0×[tex]10^{-5}[/tex]
d= .20 m
as we know that
F = (K Q1 Q2)/r^2
k = 8.99 × [tex]10^{9}[/tex] N m^2/c^2
F = (8.99 × [tex]10^{9}[/tex] × 5.0×[tex]10^{-5}[/tex] × 5.0×[tex]10^{-5}[/tex])/ [tex].20^{2}[/tex]
= 561N
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The virtual image produced by a convex mirror is one-quarter the size of the object. If the object is 31 cm in front of the mirror, what is the image distance? What is the focal length of this mirror?
Image separation approximately -7.75 cm. The above mirror's focal length measures -10.33 cm.
Definition of Focal Length:The focal length of your camera seems to be the range (in millimeters) between its point of convergence and the sensor or film used to capture the image. How much of a scene that camera can record depends on the telephoto lens of a films or internet camera lens.
How is the focal length determined?The maximum aperture of the lens, which is often given in millimeters, is really the length between the perspective and the sensor when the image is in focus. The minimal and maximum lens lengths of telephoto lenses are specified, for instance, 18-55 mm.
magnification = image / object
= - distance of image / distance of object
m = 1/4
= -di/31
di = -7.75 cm
image distance = 7.75 cm
lens equation,
1/f = 1/v + 1/u
1/f = - 1/7.75 + 1/31
f = -10.33 cm
focal length = 10.33 cm
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3. explain why very small cloud droplets of pure water evaporate even when the relative humidity is 100 percent.
Except in cases where the air is supersaturated (the relative humidity is greater than 100%), smaller cloud droplets will evaporate fast.
Air that is saturated with regard to a flat surface is unsaturated with respect to a curved cloud droplet due to the curvature effect.
Even if embryonic droplets of pure water as large as 0.01 micrometers in radius formed by the chance collisions of water molecules, they would be well below the critical radius necessary for survival in air that is just a few percent supersaturated because the supersaturations that develop in natural clouds due to the adiabatic ascent of air rarely exceed a few percent.
According to the theory's premise, salt particles and other hygroscopic aerosols that become deliquescent (i.e., absorb water vapor and dissolve into aqueous solution droplets) under subsaturation are what create cloud droplets. For instance, sodium chloride particles deliquescence point is 75% RH.
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When you used a stiffer or tighter elastic material, what effect did this have on the duration of the impulse? What affect did this have on the maximum size of the force? Can you develop a general rule from these observations? When comparing graphs from the two different bands, why is it important that the starting velocities be similar? If the thinner band had a much larger initial velocity than the thicker band, why would it be difficult to compare the results?
When you switched from elastic material to string, the effect is that the elasticity of the two materials is different because impulse is a physical vector quantity defined as the product of the average force applied to a body and the time interval. Impulse can also be defined from the variation in the amount of movement suffered by a body.
The use of a stiffer or tighter elastic material caused the duration of the impulse to be shorter, making the maximum force larger. The general rule that can be established is that the force required to produce the same impulse increases with decreasing time.
Impulse is a physical quantity that measures the change in the amount of movement suffered by a body on which a force acts (F) during a time interval (Δt).
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determine the magnitude of the electric field (in n/c) along the long axis of the rod at a point 27.0 cm from its center.
The magnitude of the electric field along the long axis of the rod at a point 27.0 cm from its center is -4,444,444 N.
What is referred to as an electric field?When charge is present in any form, each point in space has an electric field that is connected to it. The value of E, also known as the electric field strength, electric field intensity, or just the electric field, is used to express the size and direction of the electric field.
A charged rod's electric field can be calculated using the following formula:
E (electric field ) = k Q/[D (D + L)]
Where,
E is electric field
k is Coulomb’s constant = 9×10⁹ Nm²/c²
Q is total charge = -20.0 µc = -20.0 × 10⁻⁶c
L is length of rod = 12.0 cm = 0.12 m
D is distance from the center = 27.0 – 12.0 cm = 0.15m
Substituting the values in the formula:
E = (9×10⁹ Nm²/c²) × (-20.0×10⁻⁶c) / [0.15m (0.15m + 0.12m)]
E = -4,444,444 N.
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Complete question is" A rod 12.0 cm long is uniformly charged and has a total charge of -20.0 µc. determine the magnitude and direction of the electric field along the axis of the rod at a point 32.0 cm from its center".
two identical bodies with a mass of 2.0 x 104 kg are 2.0 m apart (center to center). what is the gravitational force between them?
The gravity attraction force between the two is directly related to the product of respective weights and is inversely related to the square of their masses, according to Newton's Inverse Square Law.
A gravitational field is what?
Learn the vocabulary you need to speak with assurance. The region where gravity acts, such as the space surrounding a planet, is known as the gravitational field. Gravity and gravitational force are the same thing. The power that an item has because it is located in a position where gravity could effect it is known as gravitational potential energy.
Exists gravitation, or not?
Furthermore, although the influence of gravity is weaker as objects are moved away, its range is infinite. Sir Isaac Newton was the first to notice this force of attraction, and his discovery became known as Newton's law.
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a class 1 power-limited circuit shall be supplied by a source that has a rated output of not more than 30 volts and ? .
A class 1 power-limited circuit shall be supplied by a source that has a rated output of not more than 30 volts and 1000 volt-amperes.
What is circuit?A circuit is a loop in which current can move. The energy needed for the circuit to function comes from a power source, like a battery. In a circuit, electrons move from a power source's negative side to its positive side before returning to the negative side. The circuit is complete once the electrons have gone back to the power source.
Electrons for powering the circuit are supplied by the voltage source, which also serves as its electron source. Electric connections like outlets and batteries are common sources of voltage.
The load is what uses the energy that the voltage source produces. Loads are what cause a circuit to operate in various ways, such as by making a sound or lighting up.
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a powerful motorcycle can accelerate from rest to 25.8 m/s (58 mi/h) in only 1.90 s. (for each answer, enter a number.) (a) what is its average acceleration in m/s2? 13.5789473684 correct: your answer is correct. m/s2 (b) how far (in m) does it travel in that time? 49.02 incorrect: your answer is incorrect. m
If a powerful motorcycle can reach 13.57m/s² (58 mi/h) from rest in under 1.90 seconds, its average acceleration is 4.20 m/s2, and it will travel 24.51 m.
What does the acceleration mean?The rate at which velocity varies is termed acceleration. Acceleration usually signifies a shift in speed, but not usually. An item that follows a circular course while maintaining a constant speed is still moving forward as the direction of its motion is fluctuating.
given,
initial speed,u = 0 m/s
final speed,v = 25.8 m/s
time, t= 1.90 s
a) acceleration,
a = v-u/t
a = 25.8-0/1.90
a = 13.57 m/s²
(b) distance to travel in that time
using equation of motion
v² = u² + 2 as
25.8² = 0² + 2 x 13.57 x s
13.57 s = 332.7
s = 24.51 m
the motorcycle will travel 24.51 m
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always use significant figure rules. remember that these rules apply to all numbers that are measurements. one complete wave passes a putrefying pile of poached pickerel in 0.50 seconds. the piled pickerel protrude 20 cm along the beach. calculate the period of the wave. s
The time T is identical to 0.50 seconds since one whole wave completes in 0.50 seconds. F = 1/D = 1/0.5 = 2 Hz, where T = 0.5 Frequency.
What exactly is a wave?A wave, according to Webster's dictionary, is a perturbation or variation that gradually transfers energy from one place to another inside a medium. It can be a multiple and complex or a change in pressure, magnetic or electrical strength, electric potential, or heat.
How is a wave formed?Water moves in a circular pattern as a result of energy traveling through it, creating waves. Water does not, however, literally move in waves. Without obstruction, waves can potentially flow across the ocean, transmitting energy rather than water.
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if you walk for 30 second at speed of 2m/s and run for 2minutes at 1.5m/s along the same straight track .find the average speed your self?
Answer:
1.6 m/s
Explanation:
Avg. Speed = total distance/total time
d1 = speed x time = (2 m/s)(30 s) = 60 m
d2 = (1.5 m/s)(120 s) = 180 m
d-total = 60 m + 180 m = 240 m
t-total = 30 s + 120 s = 150 s
Avg speed = 240 m / 150 s = 1.6 m/s
If the mass of an object is 10 lbm, what is its weight, in lbf, at a location where gravity is 32. 0 ft/s2?
what is its weight, in lbf, at a location where gravity is 32. 0 ft/s2?
The weight of the object in lbf at a location with gravity 32.0 ft/s2 is 320 lbf (10 lbm x 32.0 ft/s2).
What is gravity?Gravity is a natural phenomenon by which all objects with mass in the universe attract each other. It is the force that keeps us and all other objects on the Earth’s surface and is responsible for the movement of celestial bodies. Gravity is an invisible force that acts on every object in the universe, no matter how small or large. It is the force that gives objects their weight and keeps them in orbit around other objects, such as planets or stars. Gravity is one of the four fundamental forces of nature, along with the strong and weak nuclear forces, and electromagnetism.
The weight of an object is equal to its mass multiplied by the gravitational acceleration at the location.
Therefore, the weight of the object in lbf at a location with gravity 32.0 ft/s2 is 320 lbf (10 lbm x 32.0 ft/s2).
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Part A: At what angle θ1 to the normal would the first dark ring be observed?
answer is .442o
Part B: Suppose that the light from the pinhole projects onto a screen 3 meters away. What is the radius of the first dark ring on that screen? Notice that the angle from Part A is small enough that sinθ≈tanθ .
Answer is 23.2mm
Part C: The first dark ring forms the boundary for the bright Airy disk at the center of the diffraction pattern. What is the area A of the Airy disk on the screen from Part B? answer must be in mm2
The area of the disk is 72.5mm², the radius of the ring is 23.2 m and the angle formed is 442 degrees.
The area of the Airy disk is calculated by multiplying the radius of the first dark ring by pi.
The radius of the first dark ring from Part B is 23.2mm, so the area of the Airy disk is
A = pi×23.2mm²
= 72.5mm².
This area represents the region on the screen where light is the brightest. As the angle θ1 increases, the radius of the first dark ring and the area of the Airy disk increase as well, resulting in a larger and brighter image.
The area of the Airy disk is also directly proportional to the intensity of the light source, so a brighter light source will result in a larger Airy disk.
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since the net force expressed in newton's second law is provided by the coulomb force between the charged disks, we can substitute the expression for the coulomb force into newton's second law and solve for the acceleration. what is the algebraic representation of the acceleration of the disc? your answer should be in terms of the charge on disc 1, q1, the charge on disc 2, q2, the distance between them, r, and the mass of a disc, m.
coulomb force into newton's second law and solve for the acceleration. what is the algebraic representation of the acceleration of the disc? your answer should
q1 and q2 are the charges of the two discs, m is the mass of a disc, and r is the distance between the discs. epsilon_0 is the electric permittivity of free space.
What is electric permittivity?Electric permittivity, also known as the dielectric constant, is a measure of how easily an electric field can pass through a material.
The algebraic representation of the acceleration of the disc is given by the following expression:
a = (q1*q2)/(4*pi*epsilon_0*m*r^2)
This expression is derived from Newton's Second Law, which states that the net force is equal to the mass of the object multiplied by its acceleration, F = ma. The net force in this case is the Coulomb force between the two charged disks, which is given by the expression F = (q1*q2)/(4*pi*epsilon_0*r^2). Substituting this expression into Newton's Second Law, we can solve for the acceleration: a = (q1*q2)/(4*pi*epsilon_0*m*r^2).
Here, q1 and q2 are the charges of the two discs, m is the mass of a disc, and r is the distance between the discs. epsilon_0 is the electric permittivity of free space.
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From the given position -time graph it is clear that, Amiya covers a distance of 40 meters within 12 seconds.
What is position -time graph ?A position - time graph is used to determine the change in position with respect to the time. We can calculate the average speed of the object from the position -time graph.
Speed is the measure of distance covered within unit time. Hence, it is the ratio of change in position to the change in time. Speed has the unit of m/s .It can also defined as the rate of displacement of an object.
From the given plot, it is clear that the Amiya is 40 meters far after 12 seconds run. After that she stops and the position gets constant. Hence, option A is correct.
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Ball P of mass of 0,16kg moving east at a speed of 10m.s collide head on with another ball Q of mass 0,2kg moving west at a speed of 15m.s. After the collision ball P moves west at a speed of 5m.s.
a. Calculate the velocity of the ball Q after the collision.
b. Calculate the magnitude of impulse of ball P during the collision
a) The momentum after collision of the ball Q is 12.8 m/s
b) The impulse on the ball P is 0.448 Ns.
What is the momentum?We know that the momentum of the object can be obtained as the product of the mass and the velocity of the object. In this case, we can see that we have; Ball P of mass of 0,16kg moving east at a speed of 10m.s collide head on with another ball Q of mass 0,2kg moving west at a speed of 15m.s.
Given that;
Momentum before collision = Momentum after collision
(0.16 * 10) + (0.2 * 15) = (0.16 + 0.2) v
V = velocity after Collison
v = 1.6 + 3/0.36
v = 12.8 m/s
What is the impulse;
Impulse = Mv - Mu
Impulse = 0.16(12.8 - 10)
= 0.448 Ns
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how fast are we traveling around the galaxy, in km/hr ? express your answer in kilometers per hour to three significant figures.
ow fast are we traveling around the galaxy, in km/hr ? express your answer in kilometers per hour to three significant figures.
We are located about 27,000 light-years from the galactic center and we orbit the center about once every 230 million years. We are traveling at about 800,000 km/hr.
In this problem, they inform us of the rotation of the galaxy about its core; hence, if we assume that the galaxy was revolving in a circle, they inform us that the distance from the center is such that the circle's radius is 27,000 light years. 230 million years are needed for us to complete one full cycle. We must thus determine our current speed, which is equal to the circumference of this circle divided by the time it takes to complete the circle. Therefore, a circle's circumference is equal to two pi times its radius, which is 27,000 light years in this case.
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