When a light ray propagating in vacuum contains both 600nm light and 400 nm light and is incident on top of a glass cube then 400nm light travels faster than the 600nm light so the answer is (b).
The speed of light in a medium is dependent on the refractive index of the medium, which is a function of the wavelength of the light and the properties of the medium. In general, light with a longer wavelength will travel slower in a medium than light with a shorter wavelength. This is because the longer wavelength light experiences more refraction, or bending, in the medium.
In the case of a glass cube, both the 400 nm and 600 nm light will slow down as they travel through the glass. The 400 nm light will slow down more than the 600 nm light, meaning it will experience more refraction and bend more than the 600 nm light. Therefore, the answer is (b) the 400nm light travels faster than the 600nm light.
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at t = 1.5 s , what is the value of y at x = 10 cm ?
The requried, value of y at x = 10 cm is zero (implies the object is at rest).
To provide the value of y at x = 10 cm and t = 1.5 s, we need additional information about the specific equation or function that relates y and x, as well as any given initial conditions or boundary conditions.
From the given graph, it can be seen that,
At x = 10; y = 0 (implies object is at rest)
This describes the situation in that the object whose positions have shown through the graph is at rest at x = 10 (velocity becomes 0).
Thus, the requried, value of y at x = 10 cm is zero.
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do experimental measurements give the true value of a physical quantity? explain.
Due to the possibility of error, experimental measurements do not give the true value of a physical quantity
Do experimental measurements give the true value of a physical quantity?Experimental measurements are always subject to error, and as a result, they do not give the "true" value of a physical quantity. Instead, experimental measurements provide an approximation of the true value, which is influenced by many factors such as the precision and accuracy of the measurement apparatus, environmental conditions, and observer bias.
In conclusion, experimental measurements do not give the true value of a physical quantity, but they provide an estimate of its value with associated uncertainty, which is useful for making predictions and testing scientific theories.
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What will be the acceleration of a skydiver when air resistance is half the weight of the skydiver.
4.9m/s^2 will be the acceleration of a skydiver when air resistance is half the weight of the skydiver
What is acceleration?
The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.
Acceleration occurs in the direction of the velocity change, which is the same direction that the circular path's center of rotation points. The centripetal acceleration typically has a negative sign in vector form. This is due to the centripetal acceleration, which is along the radius vector pointing toward the center of the circular motion, being in the opposite direction to that of the radius vector.
Let m be the mass of the skydiver.
The acceleration due to gravity is g = 9.8m/s^2
W = mg
W -Fr = ma
Fr = W/2
W/2 = ma
mg/2 = ma
a = g/2
a = 9.8/2 = 4.9m/s^2
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What is 8 degrees Celsius in Fahrenheit?
8 degrees Celsius is equal to 46.4 degrees Fahrenheit when converting temperatures from degrees Celsius to Fahrenheit.
Is a refrigerator safe at 8 degrees Celsius?Between 32 degrees Centigrade and 41 degrees Fahrenheit, or 0 degrees Celcius with 5 degrees Celcius, should be the temperature of the refrigerator's coldest portion. To determine whether food has been kept warmed (above 63 degrees Celsius) or cold (below 8 degrees Celsius), you might use a probe thermometer.
How cold can a person tolerate?The most susceptible body parts to frostbite are the fingertips, nose, ears, toes, cheeks, and chin, so use as much protection as you can. How cold is too cold? When the windchill drops below 0 degrees Celsius or the temperature drops below zero, experts generally advise staying inside.
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why it is important to use the wavelength, where the maximum absorption occurs, during the spectrophotometric measurement?
Using the wavelength of maximum absorption is important in spectrophotometry because it helps to increase the accuracy and sensitivity of the measurement.
The amount of light absorbed by a sample is proportional to its concentration, so spectrophotometry is a useful tool for determining the concentration of a substance in solution. However, not all wavelengths of light are absorbed equally by a sample, and the absorption varies depending on the chemical properties of the substance. By using the wavelength of maximum absorption, the measurement is optimized to detect the maximum amount of light that the sample will absorb, increasing the accuracy of the results. Additionally, using the wavelength of maximum absorption can help to minimize interference from other substances in the sample and improve the sensitivity of the measurement.
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two cars are driving away from an intersection in perpendicular directions. the first car's velocity is 5 55 meters per second and the second car's velocity is 8 88 meters per second. at a certain instant, the first car is 15 1515 meters from the intersection and the second car is 20 2020 meters from the intersection. what is the rate of change of the distance between the cars at that instant (in meters per second)?
-3m/s is the rate of change of the distance between the cars at that instant
What does the word "speed" mean?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
First car's speed is 5 m/s.
The second car is moving at 8 m/s.
The first car is 15 meters from the intersection at a specific moment.
Second car is also 20 meters from junction at the same moment.
the car's speed, expressed as dx/dt, or the rate of change of distance.
Their distance from one other using the Pythagoras theorem is given as
Z²=X²+Y²
Z²=15²+20²
Z²=225+400
Z²=625
Z=√625
Z=25m
Taking a step in that direction
Suppose the first vehicle is going in the direction of positive x, then
dx/dt=5m/s
The second vehicle will also be travelling against y.
dy/dt=-8m/s
Let's apply the Pythagoras formulas above to determine dz/dt presently.
x²+y²=z²
differentiating in light of t
2dx/dt+2dy/dt=2dz/dt
Multiply through by 2
dz/dt=dx/dt+dy/dt
dz/dt=5-8
dz/dt=-3m/s
The speed at which the distance between the two bodies change is -3m/s
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After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 52.0cm . The explorer finds that the pendulum completes 109 full swing cycles in a time of 136 s.
What is the magnitude of the gravitational acceleration on this planet?
The magnitude of the gravitational acceleration on this planet can be calculated using the equation $g = 4\pi^2\frac{L}{T^2}$, where $L$ is the length of the pendulum in meters and $T$ is the time in seconds it takes for the pendulum to complete one full swing cycle.
In this case, the length of the pendulum is $52.0 \textrm{ cm}$, which is equal to $0.52 \textrm{ m}$, and the time it takes to complete one full swing cycle is $136 \textrm{ s}$.
Plugging these values into the equation gives us $g = 9.8 \textrm{ m/s}^2$. Therefore, the magnitude of the gravitational acceleration on this planet is $9.8 \textrm{ m/s}^2$.
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An electron's position is given by r with arrow = 2.00ti hat − 7.00t2j + 5.00k, with t in seconds and r with arrow in meters. (a) In unit-vector notation, what is the electron's velocity v with arrow(t)? (Use the following as necessary: t.) v with arrow(t) = m/s (b) What is v with arrow in unit-vector notation at t = 9.00 s? v with arrow(t = 9.00) = m/s (c) What is the magnitude of v with arrow at t = 9.00 s? m/s (d) What angle does v with arrow make with the positive direction of the x axis at t = 9.00 s? ° (from the +x axis)
The angle v with arrow makes with the positive direction of the x axis at t = 9.00 s is -86.23° degrees from the +x axis.
What is the electron's speed?
One of the subatomic particles with mass is the electron. The kinetic energy of any moving object is equal to 1 / 2 mv ², where m is the object's mass and v is its velocity. Electron speed V = 1 / 2 mqv ² is an electromagnetic equation.
Evaluating :a) v with arrow(t) = dr with arrow/dt
= 2.00i + (-14.00t)j + 0k
b) v with arrow (t = 9.00) = 2.00i + (-14.00 9.00)j + 0k
= 2.00i - 126.00j
c) the magnitude of v with arrow (t = 9.00)
= √(2.002 + (-126.00)2)
= 126.00
d) tan(theta) = vy/vx
= -126.00/2.00
= -63.00,
θ = atan(-63.00)
= -86.23° degrees.
So, the angle v with arrow makes with the positive direction of the x axis at
t = 9.00 s is -86.23 degrees from the +x axis.
In an electric field, what happens to an electron?Because of its negative charge, an electron will move in the opposite direction of the electric field. As a result, it will move to the left. The electron might also be thought of as being drawn to the positively charged plate.
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what happens when a free negative charge is released into an electric field
A negative charge will move: A. from low to high potential if it is released into a steady electric field.
What does "electric" mean in Greek?The Greek word "elektron" is where the word "electricity" originates. Amber, a golden or reddish-brown stone used in jewelry, is the definition of the term electron. Rubbing amber caused it to produce an electrical charge that made it possible to lift lightweight materials like straw and feathers.
What does the word electric mean in a sentence?How to effectively use the word "electric" This week, I paid the power and water bills. He was riding his electric bike around, so I know it's him. Her heart began to race as a result of his touch, which felt electrifying.
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a 60.-kilogram man is pushing a 30.-kilogram lawn mower. compared to the magnitude of the force exerted on the lawn mower by the man, the magnitude of the force exerted on the man by the lawn mower is
The lawn mover is exerting a force of 30 N on the man.
Given, a man weighing 60 kg is moving a 30 kg lawnmower.
Thus, the lawnmower's force is calculated as 30N - 60N = -30N.
A force is something that pushes or pulls an object. The objects' interactions with one another are what causes push and pull. Force can also be expressed using words like stretch and squeeze.
Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.
The direction of the force is referred to as the force's direction, and the application of force is the point at which the force is applied.
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8. A railroad car slams into another railroad car
and couples together. What is the combined
speed of the railroad cars after the collision?
M=4000 kg
v=2 m/s
Before
After
M=6000 kg
v=0m/s
Answer:
the combined speed of the two railroad cars after the collision is 4/3 m/s.
Explanation:
The combined speed of the two railroad cars after the collision can be calculated using the conservation of momentum principle.
Let's assume the combined speed of the cars after the collision is v'. Then, using the equation for momentum, p = m * v, where m is the mass of each car and v is the velocity of each car, the momentum of each car before and after the collision can be calculated as:
Before the collision:
m1 = 4000 kg, v1 = 2 m/s
p1 = m1 * v1 = 4000 kg * 2 m/s = 8000 kg m/s
After the collision:
m2 = 6000 kg, v2 = 0 m/s
p2 = m2 * v2 = 6000 kg * 0 m/s = 0 kg m/s
Since momentum is conserved, the momentum before the collision must equal the momentum after the collision:
p1 = p2
So,
8000 kg m/s = 6000 kg * v'
Solving for v', we find that:
v' = 8000 kg m/s / 6000 kg = 4/3 m/s
Therefore, the combined speed of the two railroad cars after the collision is 4/3 m/s.
find the rotation speed for a person at latitude 72 ∘n . express your answer in kilometers per hour using three significant figures.
Rotational speed refers to the number of rotations an object completes in a given time period. The rotation speed for a person at latitude 72°N is approximately 522 km/hour.
Explanation:
Given,
Latitude = 72°N
The rotation speed can be calculated using the following formula:
V = ω × R
where:
V is the rotation speed,
ω is the angular velocity,
R is the radius of the Earth at the given latitude.
The angular velocity of the Earth can be approximated as the rotation rate of the Earth, which is 360 degrees per 24 hours or 2π radians per 24 hours.
ω = (2π radians) / (24 hours × 3600 seconds/hour) ≈ 7.292 × 10⁻⁵ radians/second
The radius of the Earth at latitude 72°N can be approximated as the product of the equatorial radius (6,378 km) and the cosine of the latitude (cos(72°)).
R = (6,378 km) × cos(72°)
V = (7.292 × 10⁻⁵ radians/second) × (6,378 km) × cos(72°)
V = (7.292 × 10⁻⁵ radians/second) × (6,378 km) × 0.309
V = 0.145 km/second
To convert the rotation speed from km/second to km/hour, multiply by 3600 (the number of seconds in an hour):
V = 0.145 km/second × 3600 seconds/hour
V = 522 km/hour
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it is assumed that the density of water is 1000 kg/m3. if the specific gravity of mercury is 13.6, what is the density of mercury? multiple choice question. 0.00136 kg/m3 13.6 kg/m3 1360 kg/m3 1.36 kg/m3 13600 kg/m3
The density of mercury is 13,600 kg/m³.
The density of a substance is the ratio between the mass of a substance to the volume of the substance. The specific gravity of a substance or relative density of a substance is the ratio between the density of a substance to the density of water.
SG of a substance = ρ of a substance ÷ ρ water
SG = specific gravityThe specific gravity of a substance is also the ratio of the mass of a substance to the mass of water. The volume of a substance is equal to the volume of water.
SG mercury = ρ mercury ÷ ρ water
13.6 = ρ mercury ÷ 1,000
ρ mercury = 13.6 × 1,000
ρ mercury = 13.600 kg/m³
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The sound intensity 60 m from a tornado siren is 0. 10 w/m2. What is the sound intensity level 600 m from the siren, in db.
The sound intensity level 600m from the siren in db is 0.001w/m² if the sound intensity 60 m from tornado is 0.10w/m².
Sound intensity, otherwise called acoustic power, is characterized as the power conveyed by sound waves per unit region toward a path opposite to that area. The SI unit of sound intensity, which incorporates sound force, is the watt per square meter (W/m²). One application is the commotion estimation of sound power in the air at an audience's area as a sound energy amount.
We know that power output is given =4π×I×r² where I is the sound intensity,and r is the distance upto which sound radiates.
So,firsly we find power output because it will remain same.
So,P=4×π×0.10×60×60--------(eq1)
Now,we need to find sound intensity using the above equation,so,we get
=>P=4×π×I×600×600
=>4×π×0.10×60×60=4×π×I×600×600
=>I = (4×π×0.10×60×60) / 4×π×I×600×600
=>I=0.1/100
=>I=0.001w/m².
Hence,sound intensity level is 0.001w/m².
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How do you calculate grams to atoms?
To calculate grams to atoms are mentioned below.
What is atom?
A substance's tiniest component that cannot be destroyed chemically. A proton (a positive particle) and a neutron (a neutral particle) make up the nucleus (center) of each atom (particles with no charge). The nucleus is filled with negative electrons. Chemical reactions cannot generate or destroy atoms since they are indivisible particles. The mass and chemical makeup of an element's atoms are the same. The masses and chemical characteristics of atoms differ amongst elements.
What is gram ?
The International System of Units (SI) defines the gramme as one thousandth of a kilogramme of mass. The gramme was the name given to it at first. This cap for a pen weights about one gramme.
Therefore, calculate grams to atoms are mentioned below.
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on individual intelligence tests such as the stanford-binet and wechsler scales, an iq of 100 indicates that the test taker
According to a test taker's average test score is indicated by an IQ score of 100 on the Stanford-Binet and Wechsler intelligence test.
A common IQ test, like the Stanford Binet IQ test or the Wechsler Intelligence Scale, is used to gauge a person's level of intellectual functioning. 100 is the global average. Low IQ scores refer to those with scores below 70. Professionals assess the person's adaptable behaviour as well.
The average result for all test takers of the same age is 100.
a test that is given to each person individually to assess their level of intelligence by testing their ability to solve problems, develop concepts, reason, pay attention to detail, and do other intellectual tasks.
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a spring gun is compressed 15 cm to launch a 200 g ball on a inclined, frictionless surface. the ball had a speed of 2.0 m/s before the contact with the spring. find the spring constant of the gun
The spring constant of the gun 80 N/m.
The formula for finding the spring constant is
k=(2mv^2)/x
where m is the mass of the ball, v is the speed of the ball, and x is the distance the spring is compressed.
In this case, m=200 g, v=2.0 m/s, and x=15 cm.
Plugging these values into the formula, we get
k=(2*(200g)*(2.0m/s)^2)/(15 cm)
k=(2*0.2 kg*(4 m^2/s^2))/(0.15 m)
k=80 N/m
What is mass?
Mass is an amount of matter or energy that an object contains. It is measured in kilograms, grams, or pounds. Mass is different from weight, which is a measure of the force an object exerts on the environment due to gravity.
Therefore, The spring constant of the gun 80 N/m.
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An alpha particle with kinetic energy 11. 0 MeV makes a head-Ââ€on collision with a lead nucleus at rest. Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus with atomic number 2. Suppose the alpha particle was not aimed at the center of the lead nucleus, but had an initial nonzero angular momentum L = p0b, where p0is the magnitude of the initial momentum of the alpha particle and b = 1. 00 x 10-Ââ€12m. What is the distance of closest approach?
The closest distance is 8.4*10^-15m.
So for alpha particle The closest distance is 8.4*10^-15m.
The closest distance between two objects is the distance between their centers if they are circumscribing. Objects can be geometric shapes or physical particles with well-defined boundaries. The closest distance is sometimes called the contact distance.
Given the,
Alpha particles have a distance of 11 Mev from near.
KE energy of alpha particles in terms of system potential energy
11*10^6*1.6*10^-19=PE at closest distance
So d= 8.4*10^-15 m
After resolution. The closest distance is 8.4*10^-15m.
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A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb of salt per gallon enters the tank at the rate of and the well-mixed brine in the tank flows out at the rate of how much salt will the tank contain when it is full of brine?.
The tank will contain 350 lb of salt when it is full of brine.
A rate is the ratio between two related quantities in different units. If the denominator of the ratio is expressed as a single unit of one of these quantities.The amount of salt in the tank can be calculated using the principle of mass conservation. The rate at which salt is entering the tank is equal to the rate at which it is flowing out, so the total amount of salt in the tank will remain constant.Let x be the amount of salt in the tank when it is full.
Then:
x = 50 + 1 * (400 - 100) = 50 + 300 = 350 lb
So, the tank will contain 350 lb of salt when it is full of brine.
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Two of the interior angles of a triangle are equal. The third interior angle is 68.0 degrees. What are the other two interior angles?
theta=_______ degrees
The other two interior angles are calculated to be both 56.0 degrees.
What are interior angles?The inner of the two angles formed where two sides of a polygon come together are called interior angles.
Given if two of the interior angles of a triangle are equal, then the third interior angle must be different. Let's call the equal angles "x". The sum of all interior angles of a triangle is 180 degrees, so:
x + x + 68.0 = 180
2x + 68.0 = 180
Subtracting 68.0 from both sides,
2x = 180 - 68.0 = 112.0
x = 56.0
So, the other two interior angles are both 56.0 degrees.
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Charge placed on an insulator will spread out over the surface of the insulator.
True/False
Charge placed on insulator will spread out over the surface of the insulator : False.
What do you understand by an insulator?Electrical insulator is a material in which electric current does not flow freely. Material that keeps energy such as electricity, heat, or cold from easily transferring through is insulator and wood, plastic, rubber, and glass are good insulators.
Atoms of the insulator have tightly bound electrons which cannot readily move. Other materials like semiconductors and conductors conduct electric current more easily.
Perfect insulator does not exist as even insulators contain small numbers of mobile charges which can carry current. All insulators become electrically conductive when sufficiently large voltage is applied that electric field tears electrons away from the atoms.
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tide tables are produced by taking measurements of past observed tide levels and comparing them to a tidal datum. the tidal datum, or zero tide, used along the california coast is the:
The tidal datum or zero tide used along the California Coast is the mean higher low water.
A tidal datum is a standard elevation that is determined by a certain tide phase. Tide datums are used as a standard for measuring local water levels, they shouldn't be extrapolated to places with different oceanographic features without supporting data.Tidal datums and associated data are used to provide the goods and services required for safe navigation, the reduction of coastal hazards, ecological study, coastal engineering and the delineation of maritime boundaries.
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let v = { 0} consist of a single vector 0 and define 0 0 = 0 and co = 0 for each scalar c in f. prove that v is a vector space over f.
Let V = {0} consist of a single vector 0, and
define 0+0 = 0 and c0 = 0 for each scalar c in the
field F.
There are two operations on the set. All we have is
must validate each of the eight axioms.
VS1. The addition of commutativity. Indeed, x+y does
given that both are 0 and the sole vector in
the area.
The same justification holds true for VS2 and
from VS5 to VS8. Each axiom is a formula that
claims that one vector is equivalent to another, but since
only one vector, 0, is present, and both sides have it.
to act as the vector.
Axiom VS3 is slightly unique in that it states
that a vector 0 has a specific characteristic
However, V contains a vector of this type, namely 0. Likewise
Axiom VS4 states that there is a vector y for every vector x.
for x + y to equal 0.
Assume that y is 0, and that equation is true (since all vectors equal 0).
It is a vector space over F as a result.
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A 47. 4 kg student runs down the sidewalk and jumps w/ a horizontal speed of 4. 2 m/s onto a stationary skateboard. The student and skateboard move down the sidewalk w/ a speed of 3. 95 m/s. What is the mass of the skateboard?
The mass of the skateboard is approximately 12.8 kg.
What is mass?
Mass can be defined as the measure of the amount of matter in a body. The SI unit of mass is Kilogram (kg).
The momentum of the student + skateboard before and after the jump must be the same, since there are no external forces acting on the system.
Momentum before jump = Momentum after jump
m_student * v_student_before + m_skateboard * 0 = m_student * v_student_after + m_skateboard * v_skateboard
Rearranging and solving for m_skateboard:
m_skateboard = (m_student * v_student_before - m_student * v_student_after) / v_skateboardm_skateboard = (47.4 kg * 4.2 m/s - 47.4 kg * 3.95 m/s) / 3.95 m/sm_skateboard = (199.88 kg m/s - 187.065 kg m/s) / 3.95 m/sm_skateboard = 12.815 kg.Therefore, The mass of the skateboard is approximately 12.8 kg.
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A small metal sphere with charge 1.2×10−5C is touched to an identical neutral sphere and then placed 0.15m from the second sphere. What is the electric force between the two spheres?
A small metal sphere with charge 1.2×10−5C is touched to an identical neutral sphere and then placed 0.15m from the second sphere. 3.33 x 10^-7 N is the electric force between the two spheres.
The electric force between two charged spheres can be calculated using Coulomb's equation, which states that the force between two point charges is directly proportional to the product of the inversely proportional to the square of the separation between them and charge.
=> F = k.q1.q2 ÷ r^2
here F is force between the two spheres,
k is Coulomb constant (8.99 x 10^9 N x m^2 / C^2),
q1 and q2 are magnitudes of charges on two spheres,
r is distance between their centers.
In this case, the two spheres have charges of
=> q1 = 1.2 x 10^-5 C
=> q2 = 1.2 x 10^-5 C,
they are separated by a distance of,
=> r = 0.15 m.
=> F
= k x q1 x q2 / r^2
= 8.99 x 10^9 N x m^2 / C^2 x 1.2 x 10^-5 C x 1.2 x 10^-5 C / (0.15 m)^2
= 3.33 x 10^-7 N
Hence, the electric force between the two spheres is 3.33 x 10^-7 N.
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find the electric field at x = 5.00 cm in figure 18.52(a), given that q =1.57 µc.
The electric field at x=5.00 cm in Figure 18.52(a) can be found using the formula for the electric field due to a point charge: 5.62 x 10⁵ N/C
E = k × q / x²,
where k is the Coulomb constant, q is the charge, and x is the distance from the charge. Substituting the given values, we get: E = (8.99 x 10⁹N m²/C²) ×(1.57 x 10⁻⁶ C) / (0.05 m)² = 5.62 x 10⁵ N/C
When charge is present in any form, a point in space has an electric field that is connected to it. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field. Without any precise information of what generated the field, simply knowing the value of the electric field at a certain location is sufficient to predict what would happen to electric charges nearby.
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a skydiver jumps out of a hovering helicopter. a few seconds later, another skydiver jumps out, so they both fall along the same vertical line relative to the helicopter. assume both skydivers fall with the same acceleration. how does the vertical distance between them change?
As time increases, the distance between the skydivers decreases, until they eventually collide.
define distance ?
Distance is a scalar quantity that represents the magnitude of separation between two points in space. It can be thought of as the length of the shortest path between the two points. Distance can be calculated by using the Pythagorean theorem or other methods, depending on the geometry of the situation. The unit of distance can be meters, kilometers, miles, or any other unit of length.
The vertical distance between the two skydivers changes over time as they both fall with the same acceleration. If we consider that the initial vertical distance between them is d0, then the vertical distance d between them at time t can be calculated using the following formula:
d = d0 - g * t^2 / 2
where g is the acceleration due to gravity (approximately 9.8 m/s^2) and t is the time elapsed.
Since both skydivers have the same acceleration, they both fall at the same rate and the vertical distance between them decreases linearly with time. As time increases, the distance between the skydivers decreases, until they eventually collide.
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If an object has 100 joules of potential energy (pe) at the top of a ramp, how much kinetic energy (ke) will there be at the other two locations indicated, half-way down the ramp and at the bottom the ramp?.
50 joules and 100 joules will be kinetic energy at half-way down the ramp and at the bottom the ramp respectively assuming there is no friction.
What exactly is the law of conservation of energy ?
According to the rule of conservation of energy, energy cannot be created or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.
If an object contains 100 joules of potential energy at point an in the beginning, then at point b, the object's kinetic energy will be deducted from the 100 joules of potential energy that were initially there. This is due to the fact that no new energy will be created or lost as the potential energy is converted to kinetic energy.
P.E + K.E = 0
At half-way down the ramp , P.E will be 100/2 i.e. 50joules
At the bottom the ramp, P.E will be Equal to K.E i.e. 100joules.
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a car is moving along a straight line with an initial velocity of 8.33 . its acceleration is . determine the stopping distance.
The stopping distance is 8.33.
Let's use the equation s = v0t + 1/2at^2 to solve for the stopping distance.
s = 8.33t + 0.5(0)(t^2)
s = 8.33t
Since the acceleration is 0, the stopping distance is equal to the total distance the car traveled while its velocity was 8.33.
What is distance?
Distance is the amount of space between two points. It can be measured in various units such as miles, kilometers, feet, and meters. Distance can also be used to describe the length of time or amount of effort it takes to reach a certain point. Distance can be used in reference to physical space or to abstract concepts.
Therefore, The stopping distance is 8.33.
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the shunt-field winding of a dc motor has a resistance of 240 s. what amount of power is dissipated when the dc voltage across the winding is 120 v?
The required amount of power dissipated across the winding is calculated to be 60 W.
The resistance of the dc motor is given as (R) 240 ohms.
The voltage across the winding (V) is 120 v.
From ohm's law, we know that, mathematically, V = i R
Substituting the above values into the equation, we have,
V = i R
i = V/R = 120/240 = 1/2 A
The expression for power dissipated is known to be,
P = i² R
Putting the values into the above equation, we have,
P = i² R = (1/2)² 240 = 60 W
Thus, the amount of power dissipated across the winding is 60 W.
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