Answer:
The new force becomes 3 times of the initial force.
Explanation:
Let q₁ and q₂ are two charged particles. The force between them is given by :
[tex]F=\dfrac{kq_1q_2}{r^2}\ ......(1)[/tex]
If [tex]q_1'=\dfrac{q_1}{4}[/tex]
and
[tex]q_2'=3q_2[/tex]
Also, r' = r/2
New force,
[tex]F'=\dfrac{kq_1'q_2'}{r'^2}[/tex]
Putting all the above values,
[tex]F'=\dfrac{k\dfrac{q_1}{4}3q_2}{(r/2)^2}\\\\F'=3\times \dfrac{kq_1q_2}{r^2}\\\\F'=3F[/tex]
So, the new force becomes 3 times of the initial force.
A 1380 kg car starts from rest at the top of a 28.0 m long hill inclined at 11.00 degrees. Ignoring friction, how fast is it going when it reaches the bottom of the hill?
Answer:
10.2 m/s
Explanation:
Using conservation of energy:
PE = KE
mgh = ½ mv²
v = √(2gh)
v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)
v = 10.2 m/s
The velocity when car reaches the bottom of the hill is 10.2 m/s.
What is mechanical energy?The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
M.E = ½ mv² + mgh
where g is the acceleration due to gravity, v is the velocity, m is the mass and h is the height of the object.
Given is a 1380 kg car starts from rest at the top of a 28.0 m long hill inclined at 11.00 degrees.
Using conservation of energy principle, we have
PE = KE
mgh = ½ mv²
v = √(2gh)
Substitute the values, we get
v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)
v = 10.2 m/s
Thus, the velocity when car reaches the bottom of the hill is 10.2 m/s.
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What are some potential sources of error in the
experiment that is described in the article?
Answer: experimental design
the accuracy of data-collecting devices
human error
bias in selecting samples
incorrect data analysis
incorrect treatment of the control group
Explanation:
Instrumental, environmental, procedural, and human errors are frequent causes. Depending on how they affect the outcomes, each of these errors can either be random or systematic.
What are Experimental Error?The discrepancy between a measured value and its true value is known as experimental error. In other words, the error or inaccuracies are what prevent us from perceiving a measurement that is 100 percent accurate.
Every measurement has some degree of experimental error, which is fairly common. Due to the widespread belief that some degree of error is inherent to the scientific method, it is not typically seen as a "mistake" in the classic sense.
However, scientists can reduce error and obtain results that are more accurate by embracing and comprehending the ways that experimental error can affect any scientific operation.
The potential sources of error in experiment are Instrumental, environmental, procedural, and human errors.
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what is gyration length
Answer:
The gyration length or radius of gyration about an axis is the radial distance from a point which would have the same moment of inertia as the body's actual distribution of mass if the body's total mass were concentrated at a point.
Explanation:
The gyration length appears to be the distance from a point where the whole body appears to be concentrated when it rotates about the point.
The gyration length can be illustrated this way.
Suppose we have a distribution of masses m₁, m₂, m₃,..., mₙ located at points r₁, r₂, r₃,..., rₙ respectively from a point O. Their moment of inertia I about point O is
I = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²
If M = total mass = m₁ + m₂ + m₃ + ... + mₙ
Now I = MR² where R = gyration length
MR² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²
R² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²/M
R = √[(m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²)/(m₁ + m₂ + m₃ + ... + mₙ)]
R = √(∑mr²/∑m)
If the particles have the same mass, m₁ = m₂ = m₃ = ... = mₙ and M = nm. Since m = M/n
R = √[(mr₁² + mr₂² + mr₃² + ... + mrₙ²)/(m + m + m + ... + m)]
R = √[m(r₁² + r₂² + r₃² + ... + rₙ²)/nm]
R = √[(r₁² + r₂² + r₃² + ... + rₙ²)/n]
R = √(∑r²/n)
So the gyration length is the square-root of the sum of individual moment of inertias of the constituent masses divided by the sum of masses or the root mean square of the distances of the particles.
A sound wave in air has a frequency of 354 Hz and travels with a speed of 343 m/s. How far apart are the wave crests in meters.
Given :
The frequency of travelling sound = f = 282 Hz
The speed of travelling sound = c = 343 m/s
To Find :
The distance of waves crests
Solution :
∵ wavelength of sound wave =
i.e =
Or, =
∴ = 1.12 m
So, The wavelength of sound wave = = 1.21 m
Thus , The distance of waves crests =wavelength of sound wave = 1.21 m
Hence, The distance of waves crests is 1.21 meters Answer
. Desde el borde de una azotea de un edificio, se lanza un cuerpo hacia abajo con una velocidad de 20 m/s, si el edificio mide 105 m. ¿Cuántos segundos dura la caída?
Answer:
t = 3.01 s
Explanation:
In order to calculate how long it takes to the object to fall to the ground, you use the following formula, for the calculation of the height:
[tex]y=y_o-v_ot-\frac{1}{2}gt^2[/tex] (1)
yo: height of the building = 105 m
vo: initial velocity of the body = 20m/s
g: gravitational acceleration = 9.8m/s^2
t: time = ?
To find the time t, you take into account that when the body arrives to the ground the height is zero, that is, y = 0.
You replace the values of all parameters in the equation (1), and you obtain a quadratic polynomial for t:
[tex]0=105-20t-\frac{1}{2}(9.8)t^2\\\\0=-4.9t^2-20t+105[/tex]
Next, you use the quadratic formula to get the roots of the polynomial:
[tex]t_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
a = -4.9
b = -20
c = 105
[tex]t_{1,2}=\frac{-(-20)\pm\sqrt{(-20)^2-4(-4.9)(105)}}{2(-4.9)}\\\\t_1=3.01s\\\\t_2=-7.09s[/tex]
You choose the positive value t1, because it has physical meanning.
Hence, the body takes 3.01s to arrive to the ground
Technological design leads to the development and innovation of new technologies.
Which statement represents innovation?
O Solar panels have increased in efficiency over the past 20 years.
O The Sun is the primary source of energy for the solar system
O Previous models of a type of car have fewer engine problems.
O Natural selection ensures that only the fittest survive.
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
Because if efficiency have increased other technologies will be discovered
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
Earth receives some of the Sun's energy in the form of heat and light.
What type of energy does heat and light from the Sun begin as?
O A) nuclear
OB) chemical
OC) electrical
OD) mechanical
Answer:
a) nuclear
Explanation:
Why did the Founding Fathers want to include a bill of rights in the U.S.
Constitution?
A. To ensure that the government couldn't take away the individual
rights of citizens
B. To provide future generations a way to amend, or change, the
Constitution
C. To allow states to write and approve their own state constitutions
D. To give state governments more power than the federal
government
Answer:
Its A
Explanation:
Thats because federalists wanted to take away rights. But the fathers wanted to definitely ensure that each person had equal rights and liberty.
Isaac throws an apple straight down from a tree with an initial speed of 5.0 \dfrac{\text m}{\text s}5.0 s m 5, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. It hits the ground with a final speed of 12 \dfrac{\text m}{\text s}12 s m 12, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. How many seconds did the apple fall?
Answer:
0.71s
Explanation:
From Newton's law of motion ;
V =U +gt
V is the final velocity or speed
U is the initial velocity or speed
g is acceleration of free fall due to gravity given as 9.8m/S2
Note when a body moves horizontally down its said to do so with the aid of the force of gravity
Hence the final velocity is aided by gravity.
From the above formula;
t =V-U/ g
t= 12-5/ 9.8 = 0.71s
Answer: .71
Explanation:
Khan academy
PLEASE HELP. Really important
Explanation:
2) C would need the least effort, because the longer the effort distance, the least the effort applied.
People often think that Galileo dropped two objects of dramatically different mass off of the Leaning Tower of Pisa that both hit the ground at the same time. Explain why in reality this was most likely not true.
Answer: because of air resistance. See explanation for further details.
Explanation: Galileo performed an experiment to proof that the time of descent of two different masses is independent of time.
But in reality this is most likely not true because of air resistance and other fluid frictional effects in consideration.
If the experiment is performed in a vacuum, it will always be true that time is independent of masses of two falling objects.
What is the difference between p-n junction diode and extrinsic semiconductor?
Answer:
The difference between P-N junction diode and extrinsic semiconductor is the allowable direction of flow of current
The extrinsic semiconductor can allow current to flow in both directions while the P-N junction diode permits only a unidirectional flow of current
Explanation:
A semiconductor is a substance that has an intermediate conductivity between that of conductors and non conductors
Examples of semiconductors include germanium and cadmium selenide
A semiconductor to which impurities has been added (an activity known as doping) is an extrinsic semiconductor
Based on the functioning of a semiconductor, doping result in the formation of one of two types of semiconductors including;
1) N-type semiconductor that has an extra electron and the charge carriers are electrons
2) P-type semiconductor that has one less (-e⁻) electron and holes are the charge carriers
An extrinsic semiconductor can conduct allow the flow of electricity in both ways
A P-N junction diode consists of both the P and N-type extrinsic semiconductors arranged such that current can flow in only one direction.
Therefore, the difference is that the extrinsic semiconductor can allow current flow in both directions while the P-N junction diode permits only a unidirectional flow of current.
What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (i.E. If you increase one variable what happens to the acceleration?)
Answer:
1. Unbalanced Force (If you increase force, the acceleration will increase)
2. Mass of Body (If you increase mass, the acceleration will decrease)
Explanation:
According to Newton's Second Law the acceleration produced in a body depends upon two variables. The law states that:
“When an unbalanced force is applied on a body then an acceleration is produced in it, in its own direction”
The magnitude of produced acceleration is directly proportional to the applied force and inversely proportional to the mass of body. Mathematically,
a α F
and, a α 1/m
where,
a = acceleration
F = Unbalanced Force
m = Mass of Body
So, the acceleration increases when the unbalanced force increase and vice versa.
And the acceleration decreases when the mass of body increase and vice versa.
combining above equations:
a α F/m
a = (Constant)F/m
here,
Constant = 1
therefore,
F = ma
Which equations could be used as is, or rearranged to calculate for frequency of a wave?
Answer:
frequency = wavelength over speed. f. speed = wavelength x frequency
Explanation:
it is on google
Answer:wavelength=speed/frequency
Explanation:
An escalator is used to move 25 passengers every minute from the first floor of a department store to the second. The second floor is located 5.30 meters above the first floor. The average passenger's mass is 60 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time.
Please help me quickly!
Answer:
1298.5watt
Explanation:
Power is defined as the rate at which work is done
Expressed mathematically as;
P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered
Hence for 1 person the power consumption is ;
Note weight =mass× acceleration of free fall due to gravity,g
g is known as 9.8m/S2
Time taken is 1min which is 60 sec
60 ×9.8 × 5.3/60 = 51.94 watt
Hence for 25 persons we have
25 × 51.94 =1298.5watt
1.3kilo watt( kilo is 1000)
The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.
The Work Done is calculated as:
Force (F) = 60 × 9.8
Distance (d) = 5.30 meters
Work (W) = F × d
Work (W) = (60 × 9.8) × 5.30
Work (W) = 3,080.4 joules
The Power is calculated as:
Time (t) = 1 minute
Power (P) = Work / Tim (t)
Power (P) = 3,080.4 / 60
Power (P) = 51.34 watts
Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.
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this principle is useful in solar cooker but can be harmful on earth?
Answer:
Green House Effect
Explanation:
Green House Effect is the principle used in solar cookers but it can be really harmful for the Earth producing some green house gases.
Two people try to lift a heavy box. Jack pulls upward with a 100-newton
force. Jill pulls upward with a 50-newton force, but neither person moves the
box.
Compare the amount of work done on the box by Jack and Jill.
OA) Jack did twice as much work as Jill.
OB) Jack did fifty times more work than Jill.
OC) Jack and Jill did the same amount of work.
Answer:
A ( Jack did twice as much work as Jill
Explanation:
This is a physics question about acceleration, I'm a Sophmore btw
"Determine the amount of time it takes for a car to accelerate forward at a rate of 7.00 m/s^2 if it starts from rest and reaches a final speed of 30.0 m/s."
I was having trouble figuring out the time if anyone can help that'd be lovely!!
Answer:
4.29 s
Explanation:
Given:
v₀ = 0 m/s
v = 30.0 m/s
a = 7.00 m/s²
Find: t
v = at + v₀
30.0 m/s = (7.00 m/s²) t + 0 m/s
t = 4.29 s
Identical point charges (+50 x 10 power -6C) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?
Answer:
636.4 J
Explanation:
The potential energy between one of the charges at the corner of the square and the fifth identical charge is U = kq²/r where q = charge = +50 × 10⁻⁶ C and r = distance from center of square. = √2 m (since the midpoint of the sides = 1 m, so the distance from the charge at the corner to the center is thus √(1² + 1²) = √2)
Since we have four charges, the additional potential energy to move the charge to the centre of the square is U' = 4U = 4kq²/r
U' = 4kq²/r
= 4 × 9 × 10⁹ Nm²/C² (+50 × 10⁻⁶ C)²/√2 m
= 900 Nm²/√2 m
= 636.4 J
The total external energy required is 636.4 J.
Electric potential energy:
According to the question, a square of side a = 2m has 4 identical charges on the corners with charge Q = 50×10⁻⁶C.
A fifth identical charge is brought at the geometric center of the square. The geometric center is at the center of the diagonal:
[tex]r=\frac{a}{\sqrt{2} }=\sqrt{2}\;m[/tex]
The potential energy is a state function which means that it depends on the initial and final position.
Now the energy required is equal to the change in potential energy
[tex]\Delta U=\frac{1}{4\pi\epsilon_o}\frac{4Q^2}{r}\\\\\Delta U=\frac{4\times9\times10^9\times(50\times10^{-6})^2}{\sqrt{2} } \\\\\Delta U=636.4\;J[/tex]
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A force of 12N acts to the left on a body and a force of 16 N acts to the right . The size and direction of resultant force is
1)4N
2)28N to the right
3) 4 N to the right
Answer:
4 N to the rightExplanation:
The force acting to the right of the body is acting in the positive x direction while the force acting to the left of the body is acting in the negative x direction.
If a force of 12N acts to the left on a body and a force of 16 N acts to the right, force acting to the left will be -12N while that acting to the right will be +16N.
The resultant force acting on the bod will be the sum of the two forces.
Resultant = -12N+16N
Resultant = 4N
The direction of the resultant force will be towards the right since the resultant is a positive value.
Explain the following behaviour of molecules water rises up in a harrow tubes but mercury which is also a liquid falls in a narrow tubes to level below the outside surface
Answer: find the answer in the explanation
Explanation:
The capillarity of water molecules is different from the mercury molecules.
What is capillarity ?
This is the tendency of a liquid substance to rise in a capillary tube.
Molecules water rises up in a harrow tubes because of the force of adhesion between the water molecules and the tube molecules is greater than the force of cohesion between the water molecules. This helps water to wet the tube and rise. While mercury which is also a liquid falls in a narrow tubes to level below the outside surface because the force of cohesion between the mercury molecules is greater than the force of adhesion between the mercury molecules and the tube molecules. Mercury does not wet.
A force of 210 N is applied to an object and the object accelerates at 14m/s2. Determine the mass of the object in kg.
Answer:
15 kg
Explanation:
F = m*a
F/a = m
210/14 = 15 kg
Which of the following technologies is based on the work of Subrahmanyan Chandrasekhar? A. Undersea fiber optic communications cables B. An orbiting observatory to detect X-rays from space objects C.Computer models to predict the effects of climate change D. Radar to detect the movement of storms
Answer:the answer is B
Explanation:
APE X
The technology that is based on the work of Subrahmanyan Chandrasekhar is an orbiting observatory to detect X-rays from space objects, therefore the correct option is B.
What is Chandrasekhar's limit?Chandrasekhar's limit is a type of maximum limited value that is used to define the maximum mass of a white dwarf star. The generally internationally considered value of the Chandrasekhar limit is about 1.44 times the mass of the sun which is approximately 2.765×10³⁰ kg.
In other words, one can say that Chandrasekhar limit is the maximum value that can attain 1.44 times the solar mass.
In other words, one can say that star with a mass more than 1.44 times that of the Sun does not form a white dwarf but continues to collapse, finally forming a neutron star
An orbiting observatory to detect X-rays from space objects is based on the principle of Chandrasekhar's limit. The correct option is B.
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What is a resistor? A. a light bulb B.a switch C. a battery
Answer:
A resistor is a battery
Answer:
The answer is A
Explanation:
A resistor is a light bulb because it is the flow of an electric current in an electric circuit.
find the period of a simple pendulum of 1m length placed on earth and on moon g on moon =1.67m/s² g on earth=10m/s²
Answer:
[tex]T_{m }[/tex] = 4.86 s
[tex]T_{e}[/tex] = 1.98 s
Explanation:
Given:
Length = l = 1 m
Acceleration due to gravity of moon = [tex]g_{m}[/tex] = 1.67 m/s²
Acceleration due to gravity of Earth = [tex]g_{e}[/tex] = 10 m/s²
Required:
Time period = T = ?
Formula:
T = 2π [tex]\sqrt{\frac{l}{g} }[/tex]
Solution:
For moon
Putting the givens,
T = 2(3.14) [tex]\sqrt{\frac{1}{1.67} }[/tex]
T = 6.3 [tex]\sqrt{0.6}[/tex]
T = 6.3 × 0.77
T = 4.86 sec
For Earth,
Putting the givens
T = 2π [tex]\sqrt{\frac{1}{10} }[/tex]
T = 2(3.14) [tex]\sqrt{0.1}[/tex]
T = 6.3 × 0.32
T = 1.98 sec
A helium ion of mass 4m and charge 2e is accelerated from rest through a potential difference V in vacuum. Its final speed will be
Answer:
[tex]v=\sqrt{\frac{ev}{m} }[/tex]
Explanation:
The helium ion has:
a potential difference in vacuum = V,
Charge = 2e
and mass = 4m,
speed = v,
mass = 4m
From electrostatics, the work done is the product of charge and its potential difference.
Therefore, Work done = charge × potential difference = 2e × V = 2eV
This work done is in form of kinetic energy, therefore:
Kinetic energy = 1/2 × mass × speed²
⇒ Work done = Kinetic energy
[tex]2eV=\frac{1}{2} *4m*v^2=2m*v^2\\v^2=\frac{2eV}{2m}\\ v^2=\frac{eV}{m}\\ v=\sqrt{\frac{ev}{m} }[/tex]
how many chromosomes will an elephant's sperm have ?
A train starts from its station and it
velocity reaches 200m/s in 5
seconds. What is its acceleration?
a. 400m/s
b. 40m/s2
c. 4.5m/s2
d. Initial velocity is missing
Answer:
b. 40m/s2
Explanation:
Acceleration is calculated by dividing velocity over time. Therefore 200m/s by 5s equals 40m/s2
Answer:
B
Explanation:
v = vo + at
200 = 0 + a*5
200 = 5a
a = 200/5 = 40 m/s²
initial velocity (vo) is 0 because it says it start from station
How many meters is in 32 km
Answer:
32000 m
Explanation:
1000m in 1 km, so 32000m in 32 km.
Answer:
32000m
Explanation:
1km=1000m
so 32 kn is equals to 32000m
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What
is the acceleration?
-13 m/s
-6 m/s²
6mis?
13 m/s2
Acceleration = (change in speed) / (time for the change)
Change in speed = (speed after the change) - (speed before the change)
Change in speed = (65 m/s) - (35 m/s) = 30 m/s
Acceleration = (30 m/s) / (5 s)
Acceleration = 6 m/s²
