The speed of Vc at the instant bead collide is 1.38 m/s and the instant speed of Vd at the instant bead collide is 0.106 m/s.
The force of attraction on the beads are due to both gravitational force and electrostatic force
As gravitational force is very weak force as compared to electrostatic force the net force will be due to electrostatic force only.
Net Force = Electrostatic force
Net Force = K q1 q2 / r²
Net Force = (9 × 10⁹) (2.5 × 10⁻⁹) (1 × 10⁻⁹) / (14 × 10⁻³) (as distance between there centre of mass is 14 mm)
Net Force = (9 × 2.5 × 10⁻⁶) / 14
Net Force = 1.6 × 10⁻⁶
For bead c
Force = Mc × Ac = 1.6 × 10⁻⁶
(1 × 10⁻³) × Ac = 1.6 × 10⁻⁶
Ac = 1.6 × 10⁻³
Acceleration of bead C is 1.6 × 10⁻³ m/s²
For bead d
Force = Md × Ad = 1.6 × 10⁻⁶
(1.7 × 10⁻³) × Ad = 1.6 × 10⁻⁶
Ad = 0.94 × 10⁻³
Acceleration of bead D is 0.94 × 10⁻³ m/s²
Let us suppose bead C travels y distance before collision
So bead D should travel 12-y distance before collision
So speed of both the beads before the collision can be find out by using newton third law of motion
For bead C
Vc² - Uc² = 2 Ac s
Vc² = 2 × 1.6 × 10⁻³ × y
Vc² = 3.2 × 10⁻³ × y
Vc = √(3.2 × 10⁻³ × y)
For bead D
Vd² - Ud² = 2 Ad s
Vd² = 2 × 0.94 × 10⁻³ × (12-y)
Vd² = 1.88 × 10⁻³ × (12-y)
Vd = √(1.88 × 10⁻³ × (12-y))
Applying energy conservation
initial = final
0 + 0 = (1/2)McVc² - (1/2)MdVd²
(1/2)McVc² = (1/2)MdVd²
McVc² = MdVd²
1 × 10⁻³ × 3.2 × 10⁻³ × y = 1.7 × 10⁻³ × 1.88 × 10⁻³ × (12-y)
3.2 × y = 3.2 × (12-y)
y = 12-y
2y = 12
y = 6
Putting the value of y in Vc and Vd
Vc = √(3.2 × 10⁻³ × y)
Vc = √(3.2 × 10⁻³ × 6)
Vc = √(19.2 × 10⁻³)
Vc = √0.0192
Vc = 1.38 m/s (approximately)
Vd = √(1.88 × 10⁻³ × (12-y))
Vd = √(1.88 × 10⁻³ × (12-6))
Vd = √(1.88 × 10⁻³ × 6)
Vd = √(11.28 × 10⁻³)
Vd = √0.01128
Vd = 0.106 m/s (approximately)
So the speed of Vc at the instant beads collide will be approximately 1.38 m/s and Vd at the instant speed the beads collide will be approximately 0.106 m/s.
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A point located on the second hand of a large clock has a radial acceleration of 0. 1cm/s2. How far is the point from the axis of rotation of the second hand?
The distance of the point from the axis of rotation of the second hand is 9.1 m.
Radius of the clockThe point from the axis of rotation of the second hand is the radius of the rotation of the clock.
a = v²/r
v² = ar
v = √ar
V = 2πr/T
√ar = 2πr/T
ar = 4π²r²/T²
a = 4π²r/T²
r = aT²/4π²
r = (0.1 x 60²)/(4π²)
r = 9.1 m
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Gyroscopic wander can be divided in to two categories, one is DRIFT, what is the other?
Gyroscopic wander can be divided into two categories and these are:
DriftToppleWhat is gyroscopic wander?Gyroscopic wander can be defined as a movement of the spin axis (axis of rotation) away from a specific fixed direction.
Based on scientific information and records, there are two main types of gyroscopic wander and these include the following:
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a car accelerates from rest to 80 m/s in 20 s. what is the card acceleration?
Answer:
4 m/s²
Explanation:
v = v₀ + at
80 = 0 + 20a
80 = 20a
a = 4 m/s²
Create a ray diagram for eyeglasses that contain a diverging lens. Assume you are looking at a 2 cm tall object that is 4 cm from the lens. The focal length is 3 cm.
The ray diagram for the given object consists of 2 cm height of object, 4 cm object distance and 3 cm focal length.
Image formed by a diverging lensDiverging lens is called a concave lens. The working of the lens is dependent on the refraction of the light rays as they pass through the lens.
Image formed by a diverging lens is always virtual, erect and diminished; smaller than the object and is located on the same side of the lens as the object.
The ray diagram for the given object is presented in the image in the diagram.
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light hits ocean during
Answer:
no way to tell since the ocean surface is moving too violently it's not possible to determine the reflected angle
Which statement is TRUE about forces?
A. Forces do not have a specific direction.
B. Forces do not have specific strength.
C. Forces always act in pairs, a push and a pull.
Answer:
Forces do not have a specific direction.
A rocket weighing 300,000 N is taking off from Earth with a total thrust of
460,000 N at an angle of 20 degrees, as shown in the image below. What is
the approximate vertical component of the net force that is moving the rocket
away from Earth?
Explanation:
vertical force = 460,000 * sin(70) - 300,000
Fv = 187,717.75N
5. In the image below, the focus lines are shown. What can be done to bring the apple into focus?
A. Make the lens rounder.
B. Make the lens flatter.
C. Move the apple farther from the eye.
D. Nothing should be done because the apple is already in focus.
In the image below, the focus lines are shown. The step can be done to bring the apple into focus is make the lens rounder. The correct option is A.
What is lens?
The lens is in spherical shape may be diverging or converging.
As light enters the eye, it is focused on the retina. Changing the pupil diameter, regulates the amount of light entering the eye. Changing lens shape will focus the light.
The changes in lens shape needed to maintain focus as the object distance changes.
Thus, the correct option is A.
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One year consists of 365 days. this is closest to how many seconds?
If one year consists of 365 days, this is closest to x = 3.15 × 10⁷ seconds.
What is the number of seconds in a year?
Given that;
Number of days in a year = 365Number of seconds in 365 days = ?Note that; there are 24 hours in a day, 1440 minutes in a day and 86400 seconds in a days.
1 day contains 86400 seconds
365 contains x seconds
x = 365 × 86400
x = 3.15 × 10⁷ seconds
Therefore, if one year consists of 365 days, this is closest to x = 3.15 × 10⁷ seconds.
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What do comets and asteroids have in common?
Answer:
Asteroids and comets have a few things in common. They are both celestial bodies orbiting our Sun, and they both can have unusual orbits, sometimes straying close to Earth or the other planets. They are both “leftovers” — made from materials from the formation of our Solar System 4.5 billion years ago. But there are a few notable differences between these two objects, as well. The biggest difference between comets and asteroids, however, is what they are made of.
While asteroids consist of metals and rocky material, comets are made up of ice, dust, rocky materials and organic compounds. When comets get closer to the Sun, they lose material with each orbit because some of their ice melts and vaporizes. Asteroids typically remain solid, even when near the Sun.
Right now, the majority of asteroids reside in the asteroid belt, a region between the orbits of Mars and Jupiter which may hold millions of space rocks of varying sizes. On the other hand, the majority of comets are in the farthest reaches of our Solar System: either 1. in the Kuiper Belt — a region just outside the orbit of the dwarf planet Pluto that may have millions of icy comets (as well as many icy dwarf planets like Pluto and Eris); or 2. the Oort Cloud, a region where trillions of comets may circle the Sun at huge distances of up to 20 trillion kilometers (13 trillion miles).
Answer:
they are both leftovers materials
Explanation:
think about how the solar system is made the comets and asteroids are both rocks and remains of the solar system
where does the potential energy of rocket goes when it escape from the influence of the earth
The potential energy of a rocket increases when its escapes from the influence of the earth. It increases when it escapes the earth's boundary.
What is escape speed?Escape velocity or escape speed is the minimum speed required for a free, non-propelled object to escape from the gravitational pull of the main body and reach an infinite distance from it in celestial physics.
It is commonly expressed as an ideal speed, neglecting atmospheric friction.
If a spacecraft is launched from the moon at the escape speed of the earth then the value of escape speed will be the difference in both the velocities.
An object's height above the zero position directly relates to its gravitational potential energy.
The kinetic energy of motion is converted into gravitational potential power as your rocket ascends.
The rocket possesses gravitational potential energy as it climbs because it is becoming farther away from the Earth's surface, much as a positive and negative charge moving apart.
The potential energy of a rocket increases when its escapes from the influence of the earth. It increases when it escapes the earth's boundary.
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Many medicines started out as natural products. Aspirin was originally made from _______________
A. The bark of the willow tree
B. Poppies
C. Mold
D. The foxglove flower.
Answer:
A
Explanation:
ASA was found in the bark of willow trees.
In a Laundromat, during the spin-dry cycle of a washer, the rotating tub goes from rest to its maximum angular speed of 8.70 rev/s in 6.80 s. You lift the lid of the washer the instant the angular speed reaches the maximum value, and notice that the tub decelerates and comes to a stop in 19.0 s. Assuming that the tub rotates with constant angular acceleration while it is starting and stopping, determine the total number of revolutions undergone by the tub during this entire time interval.
Since we assume the accelerations are constant, the instantaneous acceleration is the same as the average acceleration, so in the first 6.80 seconds we have
[tex]\alpha_1 = \alpha_{\rm ave} = \dfrac{\Delta \omega}{\Delta t} = \dfrac{8.70\frac{\rm rev}{\rm s}}{6.80\,\rm s} \approx 1.28 \dfrac{\rm rev}{\mathrm s^2}[/tex]
In this time, the tub undergoes an angular displacement of
[tex]\theta_1 = \dfrac12 \alpha_1 (6.80\,\mathrm s)^2 \approx 29.6\,\mathrm{rev}[/tex]
In the next 19.0 seconds the tub has acceleration
[tex]\alpha_2 = \dfrac{-8.70\frac{\rm rev}{\rm s}}{19.0\,\rm s} \approx -0.458 \dfrac{\rm rev}{\mathrm s^2}[/tex]
and in this time, the tube undergoes an additional displacement of
[tex]\theta_2 = \left(8.70\dfrac{\rm m}{\rm s}\right)(19.0\,\mathrm s) + \dfrac12 \alpha_2 (19.0\,\mathrm s)^2 \approx 82.7\,\mathrm{rev}[/tex]
So the tub completes [tex]\theta_1+\theta_2 \approx \boxed{112\,\mathrm{rev}}[/tex].
in permanent waving, the size of the curl is determined by the
In permanent waving, the size of the curl should be determined based on the size of the rod.
What is permanent waving?Permanent waving can be defined as a hairstyle that is typically made by setting a person's hair in waves or curls while treating it with chemical solutions such as thio, so as to make it last for a long period of time.
In permanent waving, the size of the curl should be determined based on the size of the rod that would be used for the hairstyle.
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Question 8 of 10
Calculate the electric potential energy in a capacitor that stores 1.0 x 10-10 C
of charge at 100.0 V. Use PE =
2
The electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.
What is a capacitor?
A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.
An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.
The electric potential energy in a capacitor is found as;
[tex]\rm E = \frac{1}{2} QV[/tex]
[tex]\rm E = \frac{1}{2}\times 1.0 \times 10^{-10} \ C \times 100 \ V \\\\ E= 5 \times 10^{-9} \ J[/tex]
Hence the electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.
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Home heating systems usually work in the following way: When the furnace warms a house above the set temperature of the thermostat, the thermostat is triggered and shuts off the furnace. When the temperature in the house drops below the set temperature, the furnace comes back on. True or false: Home heating systems work through negative feedback.
Home heating systems work through negative feedback by regulating the temperature through thermostat.
How home heating systems work through negative feedback?In thermostat, when the temperature of the room environment increases by the negative feedback system the furnace gets turn off, allowing the room to get to its normal temperature and when the temperature lower down it turns on again and maintain the temperature in equilibrium state.
So we can conclude that home heating systems work through negative feedback by regulating the temperature through thermostat.
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help!! this makes no sense to me
Answer:
3 meters
Explanation:
Velocity = displacement/time
Displacement=velocity×time
As, time from 7 to 8 is 1 sec. And velocity increases from 0 to 3 m/s
So, Displacement = 3×1
=3m
Please give me brainlist.
An object of mass 5 kilograms is moving across a surface in a straight line with a speed of 3.5 meters/second. what amount of force would be
required to keep the object in motion if you ignore the surface friction?
a 0 newtons
b 175 newtons
c 35 newtons
d 5 newtons
Taking into account the Newton's second law, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.
Newton's second lawIn first place, acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.
Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.
So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.
Mathematically, Newton's second law is expressed as:
F= m×a
where:
F = Force [N]m = Mass [kg]a = Acceleration [m/s²]Force required to keep the object in motionIn this case, you know:
F= ?m= 5 kga= 0 [tex]\frac{m}{s^{2} }[/tex]. Acceleration is a magnitude that measures the change in velocity in a given period. That is to say that if the object changes speed, that change is measured with acceleration. So if an object is moving at a constant speed, there is no change in speed and its acceleration is zero.Replacing in Newton's second law:
F= 5 kg× 0 m/s²
Solving:
F= 0 N
Finally, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.
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Because of wave refraction, erosion along an irregular coastline is:
Because of wave refraction, erosion along an irregular coastline is greatest in headlands.
What is Refraction?This is referred to as the bending of light as it passes from one medium to another with its speed being changed.
Refraction causes erosion along an irregular coastline to be greatest in headlands which is the area of land projected out toward the sea.
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What type of facility has a frequency of 108.15 MHz?
ILS is a type of facility that has a frequency of 108.15 Megahertz.
What is an ILS?ILS is an acronym for instrument landing system and it can be defined as a precision radio navigation system that is designed and developed to provide an aircraft (airplane) with short-range guidance, so as to enable it approach a runway during bad weather or at night.
Generally, ILS uses two main directional radio signals and these include:
The localizer: it uses a frequency of 108 to 112 MHz for horizontal guidance.The glideslope: it uses a frequency of 329.15 to 335 MHz for vertical guidance.Read more on instrument landing system here: https://brainly.com/question/19091395
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A downward force of magnitude 5 n is exerted on the book by the force of.
Answer:
Gravity (perhaps)
Explanation:
Without a further description or a diagram, I would guess the downward force would be gravity.
Gravity exerts a downward pull on the book with a magnitude of 5 n. the correct answer would be option (A) gravity.
What is the force by gravity?The attraction that the earth, moon, or other immensely big object has on another object is referred to as gravity. By definition, this is the object's weight. Gravity affects all items on Earth and is directed "downward" towards the earth's center. On Earth, gravity gives physical objects weight, while the Moon's gravity causes sublunar tides in the seas (the corresponding antipodal tide is caused by the inertia of the Earth and Moon orbiting one another).
Gravity also plays a significant role in biology, such as regulating plant development through gravitropism and controlling fluid circulation in multicellular animals.
According to research into the consequences of weightlessness, gravity may have a role in immune system function and cell differentiation inside the human body.
Thus, Gravity exerts a downward pull on the book with a magnitude of 5 n.
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The complete question would be as:
A downward force of magnitude 5 n is exerted on the book by the force of downward force of magnitude 5 n is exerted on the book by the force of the table.
A. gravity
B. inertia
C. momentum
D. acceleration
A 500. gram cart with a speed of 0.360 m/s hits a barrier and bounces back with a return velocity of -0.240 m/s. what is its change in momentum?
a. 60.0 kg*m/s
b. 0.300 kg*m/s
c. -0.300 kg*m/s
d. .0600 kg*m/s
e. -.0600 kg*m/s
The change in the momentum of the cart,given the data is 0.06 Kgm/s (Option D)
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
Change in momentum = mass (final velocity - initial velocity)
How top determine the change in the momentumFrom the data given above, the following data were obtained:
Mass (m) = 500 g = 500 / 1000 = 0.5 KgInitial velocity (u) = 0.360 m/sFinal velocity (v) = -0.240 m/s.Change in momentum =?Change in momentum = m(v + u) (renounce)
Change in momentum = 0.5 (-0.24 + 0.36)
Change in momentum = 0.5 × 0.12
Change in momentum = 0.06 Kgm/s
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The farther you bring charged objects
Answer:
Weaker, stronger
Explanation:
hope this helped!
Answer:
[tex]\fbox {weaker, stronger}[/tex]
Explanation:
The farther you bring charged objects from each other, the weaker the electrical force between them, and the bigger the charges on the objects, the stronger the electrical force between them.
Proving
Here we need the formula for Coulomb's Law, which is :
[tex]\boxed {F = \frac{1}{4\pi\epsilon_{0}}\times\frac{q_{1}q_{2}}{r^{2}}}[/tex]
As we can see, when the distance increases, the overall force will decrease as they are inversely proportional.
Similarly, as the product of charges is directly proportional to the electrical force produced, as the charges increase, the force increases.
What motion is expected of the scapula during arm elevation?
During arm elevation, the motion of the scapula moves is an upward rotation motion.
What is the scapula?The scapula otherwise known as the shoulder blade is a bone found in the upper limb and forms part of the shoulder and the back.
They are triangular in shape.
The scapula enables movement of the shoulder and the arm in about six ways.
During arm elevation, the motion of the scapula moves is an upward rotation motion: protraction, retraction, elevation, depression, upward rotation, and downward rotation.
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Eclipses and Moon Phases Activity Student sample of a modeled eclipse. This lesson highlighted eclipses and lunar phases. If you had to teach another person about the difference between the two events, how would you explain it
An eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.
What is an eclipse?An eclipse is an astronomical phenomenon where one celestial body (e.g., sun, moon) cannot be observed because another is interposed between the Earth and the first one.
Eclipses can be divided into moon eclipses (we cannot see the moon) and sun eclipses (we cannot see the sun).
On the other hand, moon phases occur due to how sunlight reflects the near side of the Moon.
Moon phases can be divided into:
New MoonFirst QuarterThird QuarterFull MoonIn conclusion, an eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.
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Answer: the other person explained it all
Explanation:
Look at the diagram. The electricity supplier charges 14p per unit. How much did this electricity cost over the 24 hour period
Total units
31487-3146323unitsCost°
14(23)$322a girl swims along the length of 80m in swimming pool and comes back in 1.5sec. find her distance and displacement
the distance is the first 80m+the second 80m she came back. So the distance is 160m. but the displacement is 0, because she came back by the direction she went.
Two particles having charges q,=0.700nc and q=9.00nc are separated by a distance of 1.40m. at what point along the line connecting the two charges is the total electric field due to the two charges equal to zero?
The point along the line connecting the two charges is the total electric field due to the two charges equal to zero will be 0.3056.
What is electric field strength?
The electric field strength is defined as the ratio of electric force and charge. The field's direction is determined by the direction of the force acting on the positive charge.
The megnitude of the electric field for charge 1 is;
[tex]\rm E_1 = (9 \times 10^9 )\times \frac{0.700 \times 10^{-9}}{x^2}[/tex]
The megnitude of the electric field for charge 1 is;
[tex]\rm E_2 = 9.0 \times 10^9 \times \frac{9.00 \times 10^{-9}}{(1.80-x)^2}[/tex]
The net electric field at point p is;
[tex]\rm \frac{0.700}{x^2} = \frac{9.00}{(1.40-x)^2} \\\\( \frac{1.40-x}{x} )^2 = \frac{9.00}{0.700} \\\\\ \frac{1.40-x}{x}=3.58 \\\\ \frac{140}{x} -1=3.58\\\\\ \frac{140}{x}=3.58+1\\\\ x=0.3056 \ m[/tex]
Hence, the point along the line connecting the two charges is the total electric field due to the two charges equal to zero will be 0.3056.
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Which of these is most likely consequence of failing petroleum prices
More sales of traditional, large cars are the most likely consequence of falling petroleum prices.
ExplanationSince the majority of conventional, large cars employ combustion engines, these engines need petroleum fuel to operate.
As a result, Choice C—more sales of conventional, large cars—is one of the effects of dropping oil prices that is most likely to occur.
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The ability for a muscle to work against a resistance for an extended period of time is.
Muscular Endurance refers to the ability for a muscle to work against a resistance for an extended period of time
Endurance :-
Perseverance is connected with the capacity to perform work over a drawn out timeframe. Youngsters, for instance, can play effectively for hours. Endurance can be impacted by a singular muscle, a muscle bunch, or the complete body. Muscle perseverance mirrors the capacity to support rehashed muscle compression and is connected with muscle strength.
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