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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which process produces the energy that powers a solar calculater
Nuclear fusion is the process which produces the energy that powers a solar calculator.
What is Nuclear fusion?
This process involves the fusion of hydrogen atoms to form helium with accompanying release of heat energy.
The heat energy is what powers the solar calculator thereby making it the most appropriate choice.
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Voltage is another name for the
difference. what word completes the sentence?
A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.
More stopping force is required when the car has to stop in a shorter distance.
What is the relationship between force and acceleration?Force is directly proportional to acceleration according to Newton's second law of motion.
This means that acceleration increases when force increases.
Stopping of a moving car is negative acceleration.
Therefore, more stopping force is required when the car has to stop in a shorter distance.
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A cube of metal of side 10cm is fully immersed in a liquid of relative density 0.8.Calculate the upthrust experienced by the body. Take density of water=1000kgm3 and g=10ms-1
The upthrust experienced by the cube of metal is determined as 7.84 N.
Upthrust experienced by the body
The upthrust experienced by the body is calculated as follows;
Fu = ρVg
where;
ρ is density of the bodyV is volume of the bodyg is acceleration due to gravityDensity of the bodyS.G = density of the body / density of water
density of the body = S.G x density of water
ρ = 0.8 x 1000 kg/m³
ρ = 800 kg/m³
Volume of the bodyV = L³
V = (0.1)³
V = 0.001 m³
Upthrust = ρVg
Upthrust = 800 x 0.001 x 9.8
Upthrust = 7.84 N
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A train travels 8.81 m/s in a -51.0° direction. The train accelerated for 2.23 s, changing its velocity to 9.66 m/s in a 37.0° direction. What is (delta)x?
The value of the [tex]\rm \triangle x[/tex] will be 29.14 m. Delta represent the change.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The velocity in the part 1;
V₁ = 8.81
The velocity in the part 2;
V₂ = 9.66 m/sec
The resultant of the two vectors of velocity gives the velocity for the connecting path.
[tex]\rm V = \sqrt{8.81 ^2 + 9.66^2 } \\\\ V= 13.07 \ m/sec[/tex]
The time period for the train accelerates;
[tex]\rm \triangle x = v \times t \\\\ \triangle x = 13.07 \ m/sec \times 2.23 \ sec \\\\ \triangle x = 29.14 \ m[/tex]
Hence the value of the [tex]\rm \triangle x[/tex] will be 29.14 m.
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Answer:
the answer is 14.77 for ∆x
the answer for ∆y is 1.16
How many groups are in the modern periodic table?
Answer:
18 groups are in the modern periodic table
Answer:
There's 18 groups I'm pretty sure
how can you determine the relative ages of the moon's maria and highlands? (select all that apply.)
The relative ages of the moon's maria and highlands can be determined through the following:
Radioactive datingCrater densityLava flows.What is a Moon maria?This is referred to as the early geologic units of the moon which arose from asteroid impact and subsequent volcanic activity.
The ages can be measured using techniques such as radioactive dating and crater density.
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The force exerted on the tires of a car that directly accelerate it along a road is exerted by the
The force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.
What is force?Force is defined as the product of mass and acceleration of an object.
Friction is defined as the force that resists the movement of an object over another.
Therefore, the force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.
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what is the total current for the parallel circuit?
Answer:
[tex]\huge\boxed{\sf Current = 6\ Ampere}[/tex]
Explanation:
In a parallel circuit, Total resistance is:
[tex]\displaystyle \frac{1}{R_T} =\frac{1}{R_1} +\frac{1}{R_2}[/tex]
Where [tex]R_1[/tex] = 6Ω and [tex]R_2[/tex] = 12Ω
Finding [tex]R_T\\[/tex]:[tex]\displaystyle \frac{1}{R_T} =\frac{1}{6} +\frac{1}{12} \\\\\frac{1}{R_T} =\frac{1 \times 2+1}{12} \\\\\frac{1}{R_T} =\frac{3}{12} \\\\\frac{R_T}{1} = \frac{12}{3} \\\\\boxed{R_T=4 \ Ohm}[/tex]
Finding current:We know that:
V = IR (Ohm's Law)V = 24 V, R = 4 Ω (V given, R found)
24 = I(4)
Divide 4 to both sides
6 A = I
Current = 6 Ampere
[tex]\rule[225]{225}{2}[/tex]
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.
What is the density of an 84.7g sample of an unknown substance if the sample occupies 49.6 cm^3?
Answer:
1.708 g/cm^3
Explanation:
Density = mass/volume
= 84.7 g / 49.6 cm^3 = 1.708 g/cm^3
One exciting fairground ride acts like a giant catapult. The capsule which the ‘rider’ is strapped in is fired high into the sky by rubber straps. Explain the energy changes taking place on the ride.
Answer:
- elastic energy of rubber straps → KE of capsule
- KE → GPE as capsule
Explanation:
If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will
If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.
What is Buoyancy?Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.
All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.
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What is the peak value of a sine wave whose VAV value is 15V?
The peak value of a sine wave whose VAV value is 15V is 21. 21
What is a peak value?A peak value is simply known as the highest or maximum value reached in one cycle by an alternating quantity.
The formula for peak value is given as;
peak value = Voltage * √2
Voltage = 15V
Peak value = 15 * √ 2 = 15 * 1. 4142 = 21. 21
Thus, the peak value is 21. 21
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A chain of length L has a mass of m which is uniformly distributed. When it is placed on a smooth horizontal table, 1/4 of its length hangs over the edge of the table (as shown in the figure). Then the chain slides away from the table freely, how much gravitational potential energy has changed from the beginning to the chain just sliding away from the table? (The height of the table from the ground is much greater than L)
Gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
What is gravitational potential energy?The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.
Length of hanging part, L/4
The gravitational potential energy is;
Work = Gravitational potential energy
Work done =force×displacement
[tex]\rm W = \frac{Mg}{3} \times \frac{L}{8} \\\\ W = \frac{MgL}{24}[/tex]
Hence, gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
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what would happened if there is no invented of machine?
if there were no invention of machines then life would have been more difficult and simple works could be hard to do. Even now we are using our phones, sitting in a AC room interacting to eachother from different places. without the invention of machines simple things like transportation would have been difficult. There would be horses and donkey for the transportation. There would be no electricity,no internet, no transportation, not even c computers or mobile etc. The market for business will be smaller, the knowledge and news about world would be less.
so the problem would have been bigger than we can imagine. But one thing is that nature could survive lot more compared to what we have done till now by destroying nature.
If you double the current through a resistor, by what factor does the power dissipated by the resistor change?.
If you double the current through a resistor, the power dissipated by the resistor change by factor of 4.
What is electric current?The stream of positive charges which flow from the positive terminal to the negative terminal of the battery attached in a circuit.
Power dissipated through a resistor is related to current as
P =I²R
When the current is doubled, the new power will be
P' = (2I)²R
P' = 4 I²R
P' = 4P
Thus, the power change by the factor of 4.
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Which of the following is a disadvantage of using geothermal energy?
A. It is abundant.
B. It can reduce greenhouse emissions.
C. It is renewable.
D. It can cause air and groundwater pollution.
The disadvantage of using geothermal energy is "It can cause air and groundwater pollution." The correct option is D.
What is geothermal energy?Geothermal energy is a type of renewable energy that comes from the heat within the Earth's core.
The Earth's core is extremely hot, and this heat energy can be harnessed and used to generate electricity. Geothermal energy is often found in areas where the Earth's crust is thin or where there are active volcanoes and geysers.
There are two main types of geothermal energy: direct use and electricity generation.
Direct use involves using geothermal heat directly for heating buildings, greenhouses, or industrial processes such as drying crops or pasteurizing milk. Electricity generation involves using geothermal heat to generate electricity, typically by pumping water into underground reservoirs to create steam that drives turbines connected to generators.
Geothermal energy is considered a renewable energy source because the heat within the Earth's core is continually replenished by radioactive decay. Additionally, geothermal energy is a relatively clean energy source, producing fewer greenhouse gas emissions than fossil fuels.
Here in the question,
Although geothermal energy has many advantages, such as being renewable and reducing greenhouse gas emissions, one of the main disadvantages is that it can cause air and groundwater pollution.
This is because geothermal power plants often release gases and fluids from underground reservoirs that can contain pollutants such as hydrogen sulfide, ammonia, and boron. Additionally, the drilling process used to extract geothermal energy can also release pollutants into the air and water. However, with proper management and regulation, these negative impacts can be minimized.
Therefore, Option D is correct i.e It can cause air and groundwater pollution is a disadvantage of using geothermal energy.
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PLEASE HELPP
just do the diagram
Answer:the line away from the spacecraft should be straight down (perpendicular to it). Label this M. This is the force of the moon on the spacecraft. A minuscule line upward from the moon towards the spacecraft shows the force of the spacecraft on the moon. Should be directly below the spacecraft and pointed straight up at it.
Explanation:
If the slowest instruction in the SCA executes in 12.5 ns, then what is maximum system clock frequency in MHz
Since the slowest instruction in the SCA executes in 12.5 ns, the maximum system clock frequency is 80 MHz
To answer the question, we need to know what frequency is.
What is frequency?Frequency is the number of oscillations per second of a wave.
It is given by f = 1/T where T = period of wave
Now, given that the slowest instruction in the SCA executes in t = 12.5 ns, we need to calculate maximum system clock frequency, f.
What is the maximum system clock frequency?So, f = 1/t
= 1/12.5 ns
= 1/(12.5 × 10⁻⁹ s)
= 1/12.5 × 10⁹ Hz
= 0.08 × 10⁹ Hz
= 80 × 10⁻³ × 10⁹ Hz
= 80 × 10⁶ Hz
= 80 MHz
So, the maximum system clock frequency is 80 MHz
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If we assume a typical efficiency for the body, as quoted in the video, how much energy input would it take to climb a ladder, increasing your body’s potential energy by 5,000 j?.
The energy input would it take to climb a ladder will be 20000 J.
What is the mechanical advantage?Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.
Mechanical advantage is a measure of how much a machine multiplies the input force.
The complete question is;
"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"
The formula for the efficiency is;
[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]
Hence, the energy input would it take to climb a ladder will be 20000 J.
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If a star is moving away from you at constant speed, the absorption lines in its spectrum will.
Answer:
The absorption lines will shift to the red (become longer).
This is because of the extra distance that a wavelength λ must travel between the vibrations of the source producing the spectrum.
Note that the Doppler effect of the source is slightly different for light waves than it is for sound waves because sound waves require a medium in which to travel while light waves do not require such a medium (example air).
A boy threw a ball upward and it took 3 sec to reach the highest point. Determine the initial velocity of the ball.
Answer:
V initial = 29.4 m.s²
Explanation:
( Using the laws of motion)
V final = V initial + Acceleration × time
0 = V initial + ( -9.8)(3)
29.4 = V initial
* I took upward as positive that's why I substituted -9.8 *
* for V final we know that at maximum height the ball is not moving thats why is = 0 *
Describe how a star is formed?
____________________________
Answer:
Star Formation
Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.
hy XD ~
look at picture below !! please <3
Answer:
C
Explanation:
compound is a substance made from two or more different elements that have been chemically joined
What is the total amount of charge and energy, respectively, that the capacitor will store if it is connected to the battery on the railcar?.
The total amount of charge and energy will be 1.20 C and 7.20 J respectively
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.
Given data;
Voltage,V= 12V
Capicitance,C=100mF = 100 × 10⁻³ F
The total amount of charge is;
Q=CV
Q=100 × 10⁻³ × 12 V
Q=1.20 C
The energy stored by the capacitor;
[tex]\rm U = \frac{1}{2}CV^2 \\\\ \rm U = \frac{1}{2}\times 100 \times 10^{-3} \times (12 \ V)^2 \\\\ U= 7.20 \ J[/tex]
The energy stored by a capacitor will be 7.20 J.
Hence, the total amount of charge and energy will be 1.20 C and 7.20 J respectively
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6.Riding his bike, Mike can start from rest and get going at 10 m/s in 4 seconds. Joy can get
going 15 m/s in 5 seconds. Who has a greater acceleration? How do you know?
Answer:
Joy has a greater acceleration.
Explanation:
Mike
v = v₀ + at
10 = 0 + 4a
a = 2.5 m/s²
Joy
v = v₀ + at
15 = 0 + 5a
a = 3 m/s²
--
Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².
One point charge has a magnitude 5.4x10-7 C. A second charge 0.25 meters away has a magnitude of 1.1x10-17 C. What is the electric force magnitude of one charge on the other?
The electric force on the charges will be equal and opposite in nature and the magnitude will be 8.5536 × 10⁻¹³ Newton.
Formula for electrostatic force is F = ( K q1 q2 )/ r²
where q1 and q2 represent the charges and r represents the distance between them and the value of K is 9 × 10⁹.
In question we have given
value of q1 = 5.4 x 10⁻⁷ C
value of q2 = 1.1 x 10⁻¹⁷ C
distance between the (r) = 0.25 m
Applying the formula
F = ( K x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²
F = ( (9 × 10⁹ ) x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²
F = ( (9 × 5.4 × 1.1) × ( 10⁹ × 10⁻⁷ x 10⁻¹⁷) )/ ( 6.25 × 10⁻² )
F = ( 53.46 × 10⁻¹⁵) / ( 6.25 × 10⁻² )
F = 8.5536 × 10⁻¹³ Newton
Electrostatic force = 8.5536 × 10⁻¹³ Newton
So, The point charges are possessing equal and opposite electrostatic force of magnitude 8.5536 × 10⁻¹³ Newton.
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A results force of 25newtons acts on a mass of 0.50kilogram starting from rest .find acceleretion in m/s2 , the final velocity after 20seconds, the distance moved in m
Answer: See below
Explanation:
a) Using Newton's 2nd Law, rearranging and solving for acceleration
[tex]a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}[/tex]
b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:
[tex]v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}[/tex]
c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:
[tex]s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}[/tex]
why aren't there lunar and solar eclipses every month?
The moon's orbital plane is different from that of the earth's orbit around the sun due to which lunar and solar eclipses do not occur every month.
What is a solar eclipse?When the moon passes in front of Earth and the sun, it creates a solar eclipse and casts a shadow across the globe.
Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.
Due to the moon's orbit being five degrees off-center from Earth's orbit around the Sun, lunar eclipses do not happen every month and the Moon often passes above or below the shadow.
Lunar eclipses would happen every month if there were no tilt. Eclipses of the sun and the moon happen equally often.
Hence lunar and solar eclipses aren't coming every month.
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The reason why lunar and solar eclipses do not occur every month is because; the plane of orbit of the moon around the earth is not same as that of earth around the sun.
Why don't lunar and solar eclipses occur every month?When the Moon passes between Earth and the Sun, there's solar eclipse while when the earth passes between the Sun and the Moon, casting a shadow on the Moon, there's lunar eclipse.
Hence, because the plane of orbit of the moon around the earth is not same as that of earth around the sun, we do not have lunar and solar eclipses every month.
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