The mass of Bob and his bike is 57.27 kg.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Total mass of Tommy and his bike: m = 126 kg
Velocity of Tommy and his bike before collision: u = 8.4m/s.
Velocity of Bob and his bike before collision: U = 6.8m/s.
Velocity of them when they stuck together: v = 7.9 m/s.
We have to find: mass of Bob and his bike: M = ?
From principle of conservation of momentum in inelastic collision:
mu + MU = (m+M)v
⇒ 126×8.4 + 6.8 M = (126 +M)×7.9
⇒ M(7.9-6.8) = 126(8.4-7.9)
⇒M = 57.27 kg
Hence, the mass of Bob and his bike is 57.27 kg.
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35 grams of salt is dissolved in 500 grams of total solution. What is the percent by mass of salt?
The percentage by mass of the salt in the solution is 7%
How do I determine the percentage of the salt?Percentage composition can be obtained by using the following formula:
Percentage = (mass of solute / mass of solution) × 100
Now, we shall determine the percentage of the salt as illustrated below:
Mass of salt = 35 gramsMass of solution = 500 gramsPercentage of salt =?Percentage = (mass of solute / mass of solution) × 100
Percentage of salt = (35 grams / 500 grams) × 100
Percentage of salt = 7%
Thus, we can conclude that the percentage of the salt is 7%
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What's the temperature 32 degrees Fahrenheit in degrees Celsius?
A)
20°C
B)
0°C
C)
–10°C
D)
10°C
Answer:B) 0
Explanation:
The milky way galaxy is described as a disk of stars orbiting a central point on the disk. Which of these best explains why people on earth cannot see the entire shape of the milky way?.
As stated in the preceding statement The galaxy's core has a very modest number of stars.
How do you define a galaxy?Countless stars, solar systems, gasses, and dust make up a galaxy. Gravity binds a galaxy together. Additionally, the Milky Way, the galactic core of our galaxy, has a supermassive black hole. As you scan the stars at night for stars, you notice more stars within the Milky Way.
The number of galaxies in the universe.The original estimate of the number of galaxies was revised in 2021 to around 200 billion galaxies (21011). The majority of galaxies are 1,000 to 100,000 parsecs in diameter (roughly 3,000 to 300,000 light years), and are separated by distances on the order of billions of light years.
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one end of a string is attached to a ball, with the other end held by a student such that the ball is swung in a horizontal circular path of radius r at a constant tangential speed. at a later time, the tension force exerted on the ball remains constant, but the length of the string is decreased to r4. what is the new tangential speed of the ball?
According to the given statement Half the original speed is the new tangential speed of the ball.
Why is it called tangential speed?Any item moving along the circular path has a linear component to its speed called tangential velocity. An object's velocity is always pointed tangentially when it travels in a circle at a distance rr from the center. Tangential velocity is the name given to this.
Is tangential speed a constant quantity?Although the tangential velocity vector's direction changes as the item spins, the tangential speed remains constant. Note that along the circular motion's radius vector, the centripital speed is constantly moving inward. Two vectors combine to form circular motion as one of their components. The first is when anything moves forward (the tangential velocity).
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a vehicle with will take longer to stop. a. worn brakes b. under-inflated tires c. worn tires d. all of the above
The vehicle with take longer to stop is worn brakes , under-inflated tires and worn tires
Which braking system do you usually use to slow down your vehicle while driving?Controlled braking is a hard braking technique that applies just the right amount of pressure to slow your car without throwing it off balance. This lets you keep both your front and back wheels effectively traction. With the cover brake technique, the change from accelerating to braking is smooth.
The master cylinder's hydraulic pressure squeezes the brake pads on either side of the rotor cylinder acting on a caliper, which is located slightly outside the rotor and holds the brake pads. Friction between the pads and the rotor causes the car to slow down and halt.
The secret to doing this is to apply normal braking until the vehicle slows to about walking speed, at which point you should lift the brake pedal slightly to reduce the force of the brakes.
The complete question is : What are four factors that affect breaking?
a vehicle with will take longer to stop. a. worn brakes b. under-inflated tires c. worn tires d. all of the above
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During a protostar's T Tauri phase, it
a. begins a period of reduced activity.
b. expands dramatically.
c. may develop very strong winds.
d. changes its spin direction.
e. lies on the main sequence.
c
During a protostar's T Tauri phase, it may develop very strong winds.
The prostate is placed just underneath the bladder and in front of the rectum. it is about the size of a walnut and surrounds the urethra (the tube that empties urine from the bladder). It produces fluid that makes up part of semen. As a person has a long time, the prostate tends to increase in size.
Acute prostatitis is generally triggered when bacteria within the urinary tract enter the prostate. The urinary tract includes the bladder, kidneys, the tubes that join the kidneys to the bladder (ureters), and the urethra.
The prostate performs an essential function in male fertility and intercourse existence. although men can survive without a prostate, unfortunately, for lots of men, prostate elimination outcomes in terrible nice of existence, issues like erectile dysfunction, and more.
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A 90 Kg Painter Is Standing On 4 Kg Board, Which Is 12 M Long And Suspended On Each End By A Rope. The Painter Is Standing 3 M From The Left Side, Closer To The First Rope. Q1) Find The Tension In The First Rope. Q2) Find The Tension In The Second Rope. Q3) The Painter Climbs Down From The Board, Just Before The Second Rope Suddenly Snaps. Find The instantaneous angular acceleration of the board
The board's instantaneous angular acceleration is 1.225 rad/sec, with the first rope's tension being 681.1 N and the second rope's tension being 240.1 N.
A force along a medium's length is known as tension, particularly a force carried by a flexible medium like a rope or cable. The equivalent of linear acceleration in rotation is called angular acceleration. Angular acceleration is the rate of change of angular velocity, whereas linear acceleration describes the rate of change of linear velocity.
T2*12 - 90g*3 - 4g*6 =0
T2 = 240.1N for the Second Rope's Tension
T1+T2 = 921.2
T1 = 681.1N for the first rope's tension
The board's instantaneous angular acceleration is given by T = I(alpha), which is equal to T = 4(12)^2/3 6*9.8*3/144 = alpha.
The board's instantaneous angular acceleration is equal to 1.225 rad/sec.
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when a particular metal is illuminated with photons, one electron is observed for each absorbed photon. what effect would decreasing the wavelength and number of photons have on the electrons leaving the surface?
The numbers of electrons leaving the surface would decrease if number of photons and wavelength will be decreased.
Since, number of electrons ejects out from the surface which is expose to photons attack is totally dependent on the amount of photons striking that open area in per unit time.
When count of photons would decrease, in that case count of those photons which have frequency greater than the threshold frequency will be lesser and due to that count of electrons will also decrease.
Similarly, photons which are able to eject the electrons from the surface have certain wavelength which is greater than threshold wavelength. In that case count of photons which are able to eject out the electrons will also decrease.
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a uniform block of granite in the shape of a book has face dimensions of 18 cm and 13 cm and a thickness of 1.2 cm. the density (mass per unit volume) of granite is 2.64 g/cm3. the block rotates around an axis that is perpendicular to its face and half way between its center and a corner. its angular momentum about that axis is 0.104 kg · m2/s. what is its rotational kinetic energy about that axis?
The rotational kinetic energy is 0.62 J.
How do you find rotational kinetic energy?The rotational kinetic energy, also known as "rotational mass," is the moment of inertia, or "rotational mass," of a rotating rigid body or system of particles, and is given by the formula K=12I2 K = 1 2 I 2.The definition of rotational energy, sometimes referred to as angular kinetic energy, is as follows: It is the portion of an object's total kinetic energy that results from rotation. The rotational inertia and the square of the angular velocity have a direct relationship with rotational kinetic energy.Moment of inertia, I = 8.04 times 1037 kg m2, and angular velocity, omega = 7.29 times 10-5 rad per second. As a result, the rotational kinetic energy is 2.13 x 1029 J.Step 1: Given Data
l = 20 cm = 0.2 m
w = 15 cm = 0.15 m
t = 1.2 cm = 0.012 m
ῤ = 2.64 g / [tex]cm^{3}[/tex] = 2.64 x [tex]10^{-3}[/tex] x [tex]10^{6}[/tex] kg / [tex]m^{3}[/tex]
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why do you fall backward on a bus when it accelerates from rest? why do you fall forward when the driver decelerates to rest?
Due to inertia, passengers on a bus often slide backward when it suddenly starts to move.
Explain about the inertia?The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed.
A feature of matter known as inertia is the ability to maintain either a state of rest or uniform motion in a straight line without the assistance of an external force. A body's inertia is a quality that prevents it from changing its state of motion or rest.
A body at rest or travelling in a straight line at a constant speed will continue to do so unless it is acted upon by a force, according to the law of inertia, often known as Newton's first law, a physics postulate.
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which lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object
Diffused lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object.
What is Diffused lighting method ?Light that has been filtered by something is known as diffused light or soft light. Diffused sunlight passes through a sheer curtain. Compared to the direct light of a bare bulb, the light that comes from behind a lampshade is diluted. The light is softened and dispersed by the lampshade. Golden hour, for instance, has softer sunlight because the sun is at an angle and the surrounding environment works as a diffuser.
Similar to this, a diffusion sheet can be used to filter the harsh light from the sun or another light source to create a soft, uniform glow that complements any time of day.
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an astronomer has calculated the radius of a black hole to be 51.0 au by observing its period of variability in brightness. what period, in hours, did she observe?
The astronomer will take 0.086 hours to observe the radius of the black hole.
A black hole is a place in space where gravity pulls so hard that even light cannot escape.
The astronomer has calculated the radius of a black hole to be 51.0 au by observing its period of variability in brightness.
'au' is the abbreviation for astronomical unit which is a unit of length used to measure the distance from Earth to sun.
1 au = 93 million kilometers
Also the radius is calculated on the variability in brightness, i.e. speed of light can be considered
Speed of light = 3 * [tex]10^{8}[/tex] m/s
So according to the formula of speed, time can be calculated as
time = distance / speed
time = 93 * [tex]10^{9}[/tex] / 3 * [tex]10^{8}[/tex]
time = 310 seconds
1 second = 0.0002 hour
310 seconds = 0.086 hour
The astronomer observed for 0.086 hours.
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3. an object starts from rest and accelerates forward at a rate of 8.3 m/s/s. how far will the object move in 3 seconds of travel? (3 pts)
Distance equals 1/2(a) (t) 2. How far an object will go in 3 seconds if it accelerates forward at a speed of 8.3 m/s/s from rest: Distance = 1/2(8.3)(52), Distance = 103.75m.
What does the word "accelerates" mean?
To accelerate one's movement; to gather up speed. The car started to speed up gradually. Recently, the pace of change has accelerated, making it necessary to follow a fast educational curriculum and go through the grades more quickly than is typical. verb in motion
Does "moving" imply "accelerating"?
Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by speeding up your acceleration or by reversing your acceleration. Because velocity consists of both a speed and a direction, this is the case.
Briefing:
Distance = 1/2(a)(t)^2
Distance = 1/2(8.3)(5^2)
Distance = 103.75m
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lc circuit, part h 0 points possible (ungraded) what is the current in the circuit when the magnetic energy stored in the coil is exactly equal to the electric energy stored in the capacitor?
The magnetic field that is created around the inductor is where this energy is actually kept. Again, think about the circuit we created with two coils wound on base of one another.
, what is an energy?Energy is characterized as having the "ability to accomplish effort, which is the capacity to apply a force sufficient to move an object." Despite this unclear definition, the concept is actually quite straightforward: energy is merely the force that moves objects. Potential and kinetic energy are the two different categories.
What makes energy crucial?Because it is a fundamental human requirement, energy is crucial to our daily activities. Not only do we utilize energy to heat the buildings we have built, but we also use it to cool them. In order to get out of bed, walk down the street, or even lift your finge, you need energy.
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An old version of stellar evolution, popular at the beginning of the twentieth century, maintained that stars begin their lives as large, cool spheres of gas, like the giant stars on the H-R diagram. They then contract and heat up under the pull of their own gravity to become hot, bright blue O stars. For the remainder of their lives they lose energy, becoming dimmer and redder with age. As they slowly move down the main sequence, they eventually end up as cool, dim red M stars. Explain how observations of stellar clusters, plotted on the H-R diagram, contradict this idea.
Every star goes through distinct evolutionary stages that are determined by its internal structure and method of energy production depending on its initial mass. The temperature and luminosity of the star change with each of these stages, and as the star develops, it can be seen moving to various locations on the HR diagram.
One of the most crucial tools for studying stellar evolution is the HR diagram, also known as the Hertzsprung-Russell diagram (HR diagram). It was independently created by Ejnar Hertzsprung and Henry Norris Russell in the early 1900s and plots either the colour of stars (or spectral type) against their absolute magnitude or the temperature of stars against their luminosity.
The HR diagram is dominated by the main sequence, which extends from the upper left (hot, luminous stars) to the bottom right (cool, faint stars). In their cores, stars spend about 90% of their lives converting hydrogen to helium.
In the area above the main sequence, red giant and supergiant stars of luminosity classes I through III can be found. The Stefan-Boltzmann law states that because of their low surface temperatures and high luminosities, they also have large radii. Once a star's core has run out of hydrogen fuel and has begun to burn helium and other heavier elements, it enters this stage of evolution.
Low-mass stars reach their final evolutionary stage as white dwarf stars (luminosity class D).
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______require high temperatures and pressures to react with other elements.
Inert gases require high temperatures and pressures to react with other elements.
What are inert gases?A gas is considered to be inert if, under a specific set of circumstances, no chemical reactions occur. The noble gases, formerly known as the inert gases, frequently do not react with a wide variety of substances as argon and neon (at normal conditions).
Because they contain a fully filled valence shell and an electronic configuration of ns²np⁶, inert gases do not react with other chemicals.
As a result, they are referred to as noble gases and are in the periodic table's group 18.
But under high temperatures and pressures Inert gases react with other elements.
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. the magnetic field at a distance of 2 cm from a current carrying wire is 4 μt. what is the magnetic field at a distance of 4 cm from the wire? a) 1/2 µt
The magnetic field at a distance of 4 cm from the wire is B'=2 μT.
What is magnetic field?
The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field.
Given that
Distance ,d= 2 cm
magnetic field ,B= 4 μT
we know that magnetic filed at a distance d is given as
[tex]B=\frac{\mu I}{2 \pi d}----1[/tex]
I=Current
When the distance become 4 cm
d' = 4 cm
d'= 2 d
[tex]$$\begin{aligned}B^{\prime} & =\frac{\mu I}{2 \pi d^{\prime}} \\B^{\prime} & =\frac{\mu I}{2 \pi \times 2 d}--2\end{aligned}$$From equation 1 and 2$$\begin{aligned}& \frac{B^{\prime}}{B}=\frac{\frac{\mu I}{2 \pi \times 2 d}}{\frac{\mu I}{2 \pi \times d}} \\& B^{\prime}=\frac{B}{2} \\& B^{\prime}=\frac{4 \mu}{2} T\end{aligned}$$[/tex]
B'=2 μT
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two cups are filled to the same level with water. one of the two cups has plastic balls floating in it. if the density of the plastic balls is less than that of ice, which of the two cups weighs more?
Two cups are filled to the same level with water. one of the two cups has plastic balls floating in it. if the density of the plastic balls is less than that of ice, the two cups will; tend to weighs the same.
What is density?The mass contained in a given volume determines a material's density. Due to their tight structure and stronger intermolecular force than that of liquids and gases, solids often have denser molecules than liquids. However, compared to ice, which is a solid form of water, liquid water has a higher density.
Therefore, two cups have the same weight since the weight of the plastic ball is precisely equal to the weight of the displaced water, according to Archimedes' Principle sue to the fact that the Buoyant force need to be equal the weight of the ball.
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which force, in real life, will have the least effect on a bowling ball rolling down a lane toward bowling pins?(1 point)
In reality, a bowling ball travelling down a lane toward bowling pins will be least affected by magnetic force.
What is force ?
In terms of a physical action or movement, force is essentially a push or pull that acts on an item or energy. When two things come into contact, it occurs. Additionally, a body is in motion when it is moving.
Electromagnetic force is a result of charge motion, which also produces magnetic force. When electrically charged particles are in motion, a magnetic force, attraction, or repulsion results from their motion. It is the fundamental force behind phenomena like how electric motors operate and how magnets are drawn to iron.
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the density of a test gas is to be determined experimentally at 303.2k using an apparatus constructed of a 3.000 l glass bulb volume
14.286 g/L is the density of a test gas determined experimentally.
What is density ?
Density of a substance is defined as the mass of the substance per unit volume i.e. Density= mass/ volume.
Solution:Given
temp=303.2k
volume of glass bulb =3.000 l
Mass =21.072 g
hence the density will be = mass/ volume
When test gas is filled the mass will increase due to pressure of 0.0750 atm to 21.310 kg
Hence
density= 21.310-21.072/3.000
density =14.286 g/L
Hence, 14.286 g/L is the density of a test gas determined experimentally.
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I understand your complete question, which is :
The density of a test gas is to be determined experimentally at 302.2 K using an apparatus constructed of a 3.000 L glass bulb volume that is attached to a vacuum pump. The mass of the bulb when vacuumed is 21.072 g.?
Oil is spilled from an oil rig in the Gulf of Mexico andspreads in a circle with the circumference changing at a rate of 40m/sec. How fast is the area of the spill increasing when thecircumference of the circle is 100Ï€ meters?
The area of the spill increasing when the circumference of the circle is 100π meters at a rate of 2000 sq. m/sec.
What is circumference ?The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.
The curve length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge.
Given parameters:
circumference changing at a rate = 2π dr = 40m/sec.
the circumference of the circle is = 2πr = 100π meters
Hence, the rate of area of the spill increasing = 2πrdr
= 100π meters × 40m/sec/2π
= 2000 sq. m/sec.
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if a roller coaster has a min speed of 12,/s, what does the radius of curvature need to be at the top of a loop to ensure that passengers stay safely in the ride
The radius of the curvature will be 1.49 m. Because to balance the passengers safely, acceleration due to gravity (mg) should be equally balanced by centripetal force (Fc).
What is Centripetal force?
The force applied to an item in curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.
[tex]F = \frac{Mv^{2}}{r}[/tex]
What is acceleration?
It is a vector quantity that can be described as the speed at which an object changes its speed. When an object's velocity changes, it is said to be accelerating.
What are the calculations?
[tex]F_{c} = m a_{c} \\mg = ma_{c} \\g = a_{c} \\9.8 m/s = a_{c} \\V = 12 m/s (given)\\a_{c} = \frac{V^{2} }{r} * r\\V = \sqrt{a_{c} r } \\12 m/s = \sqrt{9.8* r} \\\frac{12}{9.8} ^{2} = r\\\\1.49 m = r[/tex]
Hence, the radius of the curvature will be 1.49 m.
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what evidence suggests that the protogalactic cloud that formed the milky way resulted from several collisions among smaller clouds?
The fact that the age and heavy element content of halo stars vary but do not appear to be correlated with the stars' distance from the galactic center indicates that the protogalactic cloud that gave rise to the Milky Way was the product of multiple collisions between smaller clouds .
How is it an indicating element?It makes plausible to think that the protogalactic cloud that gave birth to our Galaxy was nearly spherical given that the oldest stars, those in the halo and in globular clusters, are spread in a sphere of galaxy.Since the oldest stars in the halo are between 12 and 13 billion years old, we infer that the Galaxy first formed about that time.Other proof that galaxies in general started forming a bit more than 13 billion years ago can be found in the chapter on The Big Bang.The protogalactic cloud eventually condensed and created a thin revolving disk, much like in the case of star formation. Stars born before the cloud disintegrated did not take part in the disintegration, but have continued to orbit in the halo to the present day.Gas in the thin disk was broken up by gravitational forces into clouds or clumps with masses akin to star clusters. Later, these distinct clouds broke up even further to create stars.Due to the fact that the oldest stars in the disk are almost as old as the youngest stars in the halo, the collapse must have occurred quickly from an astronomical perspective, possibly taking only a few hundred million years.What are halo stars?The galaxy's outermost points, or halo stars, are simply regions where the imperium cannot spread since the astronomical's light does not shine. Several xenos races that the imperium has never encountered essentially make up its population.
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A runner accelerates toward the finish line. Identify the action force in the example.
The runner's feet pressing against the ground serves as the example's action force.
Describe a force.A push or pull of an item or physical body may be described as a force. This change in motion, known as acceleration, often arises from the interaction of the object or physical body with another.
Newton's Second Law of Motion states that a physical body's acceleration and mass have a significant impact on the force acting on it.
An example of an action force in this situation is the pressure put on the ground by the runner's feet as they sprint faster toward the finish line.
The runner's feet pressing against the ground serves as the example's action force.
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Shear Force and Bending Moment diagrams for Simply Supported Beams subjected to different types of loading
(i) Simply Supported Beam subjected to concentrated load at mid span
(ii) Simply supported beam subjected to a concentrated load placed eccentrically on the span
(iii) Simply supported beam subjected to more than one concentrated load
(iv)Simply supported beam subjected to uniformly distributed load of w per unit run over the whole span
(v)Simply supported beam subjected to a uniformly distributed load over some part of the span
(vi)simply supported beam subjected to two couples.
The following are the diagrams:
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(i) Simply Supported Beam subjected to concentrated load at mid span
(ii) Simply supported beam subjected to a concentrated load placed eccentrically on the span
(iii) Simply supported beam subjected to more than one concentrated load
(iv)Simply supported beam subjected to uniformly distributed load of w per unit run over the whole span
(v)Simply supported beam subjected to a uniformly distributed load over some part of the span
(vi)simply supported beam subjected to two couples.
These all are explained through the given diagrams:
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if the distance between two charges is tripled, what will happen to the force between the charges? (3 points)
The force exerted between two electric charges is inversely proportional to their squared distance, according to Coulomb's Law. The force will therefore weaken by a factor of 9 if the distance is tripled.
How does Coulomb's law work?Describe Coulomb's Law. Coulomb's law states that the force of attraction or repulsion between positively colliding bodies is inversely proportional to the square of the length between them and directly proportional towards the product of their charges.
What three elements combine to form Coulomb's law?A non-contact attraction that works over a specified distance is called charged object interaction. Distance, charge, and distance. Every electrical connection requires force, which highlights how important these three elements are.
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an astronaut on mars (mass 6.42×1023kg , radius 3.39×106m ) launches a probe straight upward from the surface at 3.00×103m/s . what is the maximum height above the surface that the probe reaches? neglect air resistance and the gravitational pull of the two small moons of mars.
Answer:
H = 1 200 km
Explanation:
Given:
M = 6.42·10²³ kg
R = 3.39·10⁶ m
V₀ = 3.00·10³ m/s
______________
H - ?
Acceleration of free fall on Mars:
g = G·M / R²
g = 6.67·10⁻¹¹·6.42·10²³/ (3.39·10⁶)² ≈ 3.73 m/s²
The maximum height above the surface that the probe reaches:
H = V₀² / (2·g)
H = (3.00·10³)² / (2·3.73) ≈ 1 200 000 m = 1 200 km
Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown:
%u2212(1/2)%u03BB 2%u03BB %u22125%u03BB (3/2)%u03BB 0 (17/2)%u03BB (6/2)%u03BB Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves.
Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.
The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.
Constructive and destructive interference:
For interference, the waves must be coherent.
Two coherent waves interfere constructively when the path difference is equal to an integral multiple of the wavelength.
That is the path difference must be mλ
where m = 0,1,2,3.... is an integer and λ is the wavelength
So pair BCEG interfere constructively
Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.
That is the path difference must be (m+1/2)λ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Therefore, the interference is in the pair ADF which is interfere destructively.
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[NOTE: THE COMPLETE QUESTION IS:
Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.]
The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.
From the question, we have
When the path difference is equal to an integral multiple of the wavelength, two coherent waves interact positively.
That is the path difference must be mλ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Hence, the pair BCEG interfere constructively
Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.
That is the path difference must be (m+1/2)λ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Hence, the pair ADF interfere destructively
Interference:
Interference is what happens when two or more waves meet each other. Depending on how the peaks and troughs of the overlapping waves line up, they may add up or may partially or completely cancel one another. According to the definition of interference, it is the phenomenon in which two or more waves combine to create a new wave that has a bigger, smaller, or the same amplitude.
Complete question:
Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively
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explain the difference between the if then block and the if then else block: how does each work? how do we know which to use?
If you want to tell a block of code to run only if a certain condition is true, use the if statement. If the same condition is false, use else to declare that a different block of code should be run.
The most fundamental control flow expression is the if-then clause. It instructs your software to run a specific chunk of code only when a specific test returns true. For instance, the Bicycle class might only permit the brakes to slow the bicycle down after it is moving.
When a "if" clause evaluates to false, an alternative path of execution is provided by the if-then-else statement. If the brakes are applied while the bicycle is not moving, you might use an if-then-else clause in the apply Brakes method to do some action.
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a 1.2 m long beam is free to rotate about its left end. what force f must be applied at the right end for the beam to not rotate?
The force f must be applied at the right end for the beam to not rotate is
F = 475 N.
Solution:
1.2f = 980 x 0.5 + 320x 0.25
F = 475 N.
Theoretically, when two or more parallel forces are applied to a horizontal beam the beam can be balanced by applying one force equal and opposite to the resulting R. increase. The balance of downward forces must be equal and opposite to their resultant force.
Torque is a measure of the force that rotates an object about an axis. Torque causes an object to undergo angular acceleration in the same way that force accelerates an object in linear kinematics. Torque is the rotational equivalent of force. Therefore, the net torque causes the object to rotate with angular acceleration.
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