Answers
Given two masses:
m1 and m2
Where:
m1 is greater than m2.
If the two masses slides down a rough inclined surface of the same length and inclination, let's determine which of the masses would be first to get to the bottom.
Applying the Newton's second law:
On a plane surface, the normal force is the product of the mass and the gravity.
The frictional force can be said to be directly proportional to the mass.
Hence, we can say if an object is sliding through an inclined plane, the mass of the object will not affect the speed of the object.
Since the mass does not affect the speed, therefore, both masses m1 and m2 will get to the bottom at the same time.
ANSWER:
Both masses will get to the bottom at the same time.
Related Questions
A motorcycle skids for a distance of 2.0 m with the icy road pushing on its tires with force of 120 N as its
brakes are applied
What is the change in kinetic energy for the motorcycle?
Round the answer to two significant digits.
Answers
Answer:
-240
Explanation:
A motorcycle skids for a distance of 2.0 m on an icy road, then the change in kinetic energy for the motorcycle will be equal to -240 J.
What is kinetic energy?The force which a moving object has is referred to as kinetic energy in physics. It is defined as the number of effort required to propel a person of a specific mass from still to a specific velocity.
Aside from slight fluctuations in speed, your body holds onto the kinetic energy it obtains during acceleration.
When the body slows down from its present level to a condition of rest, the same quantity of energy is used.
Formally, kinetic energy is any quantity that has a gradient concerning time in the Lagrangian of a system.
As per the given information in the question,
Distance, d = 2.0 m
Friction, f = 120 N
The angle between displacement and friction force, θ = 180°
Now, the change in kinetic energy for the motorcycle = Work done by the friction.
K.E = f × d(cos θ)
= 120 (2.0 m)(cos 180°)
Δ K.E = -240 J
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What is the process of by which UV light causes bleaching of pigments, fabrics, or other materials?
Photo degradation
Lesson 4 #5
Answers
The process through which UV light bleaches pigments, textiles, or other things is known as photo deterioration. UV radiation is used to disinfect surfaces, destroy microorganisms, and remove stains from clothing.
It is a chemical procedure that causes the fabric's molecules to disintegrate and release the natural oils by the application of ultraviolet light. By dissolving the fabric's molecules, releasing natural oils, and eradicating bacteria, it kills germs when applied to clothing. A colorant's lightfastness—a radiation that specifies how resistant it is to fading when exposed to light—can be described as a dye or pigment. Dyes and pigments are employed, for instance, in the production of paints and printing inks as well as the dying of fabrics, polymers, and other materials. Colorant molecules go through several chemical steps throughout the fading.
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Photo degradation is the process by which UV light bleaches textiles, pigments, and other materials. Surfaces are cleaned with UV radiation, which also eliminates bacteria and gets stains out of clothes.
By using UV light, a chemical process forces the fabric's molecules to break down and release its natural oils. When applied to garments, it kills germs by dissolving the fabric's molecules, releasing natural oils, and eliminating bacteria. An indicator of a colorant's lightfastness, also known as a dye or pigment, is how resistant it is to fading when exposed to light. For example, dyes and pigments are used to colour fabrics, polymers, and other materials in addition to producing paints and printing inks.
The majority of UVC rays are absorbed by the atmosphere's nitrogen, oxygen, and ozone, and the remainder are scattered, preventing them from reaching the earth's surface.
Skin lesions are brought on by UVC. During the fading process, colorant molecules go through a number of chemical processes.
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You are conducting an experiment in which you can measure the location of individual electron collisions to within 10^-10m. A). What is the theoretical limit to which you can simultaneously measure the momentum of those collisions? Express your answer in kilograms times meter per second to three significant figures.B). What is the uncertainty in the electrons speed? (The electron has a test mass of 9.1 x 10^-31 kg.) Express your answer in meter per second to two significant figures.
Answers
Given data:
* The uncertainty in the measure of the location is given as,
\(\Delta x=10^{-10}\text{ m}\)Solution:
According to the uncertainty principle, the theoretical limit to measure the momentum is,
\(\Delta p\approx\frac{h}{4\pi\Delta x}\)where h is the Planck's constant,
Substituting the known values,
\(\begin{gathered} \Delta p\approx\frac{6.626\times10^{-34}}{4\pi\times10^{-10}} \\ \Delta p\approx0.527\times10^{-24}\text{ kg m }s^{-1} \end{gathered}\)Thus, in advanced mathematics, the value of the momentum in kilogram meter per second is,
\(\text{0}.527\times10^{-24}\operatorname{kg}ms^{-1}\)(B). The mass of the electron is,
\(m=9.1\times10^{-31}\text{ kg}\)Thus, the uncertainty in the electron speed is,
\(\Delta v=\frac{\Delta p}{m}\)Substituting the known values,
\(\begin{gathered} \Delta v=\frac{0.527\times10^{-24}^{}}{9.1\times10^{-31}} \\ \Delta v=0.058\times10^7\text{ m/s} \\ \Delta v=0.58\times10^6\text{ m/s} \end{gathered}\)Thus, the uncertainty in the electron speed is,
\(\Delta v=0.58\times10^6\text{ m/s}\)What are the two fundamental ways energy and momentum are moved from one place to another?
Answers
The two fundamental ways energy and momentum are moved from one
place to another are through the mass and velocity.
The formula for momentum is mass multiplied with velocity.
Momentum= mass × velocity
The two factors in which momentum and energy is moved from one place to
another is however through how much and how fast the object is moving
which validates the answer.
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10. In a laboratory experiment, students recorded the
following length data: 12.2 cm, 12.1 cm, 12 cm,
11.9 cm, and 12.20 cm. (a) Determine the average
length and express the answer using the correct
number of significant figures. (b) Based on your
average length calculation in part (a), discuss the
importance of recording measurements to the
appropriate number of significant figures.
Answers
a) 12.1 Average.
B) It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
What does the average?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint.The mean, median, and mode are the three primary varieties of average. Each of these methods operates slightly differently and frequently yields values typically a little off. The average that is most frequently used is the mean. You add all the values and divide this sum by the total number of values to obtain the mean value.Averages are mostly used to track changes over time within a sample group or cohort.Since averages can be used to compare different quantities of the same category, we employ them. The calculation of averages has limits since it cannot reveal how something is distributed among individuals. For instance, the distribution of income is not shown by per capita income.A) Determine the average length and express the answer using the correct number of significant figures:
12.2+12.1+12=36.3/3 = 12.1 Average.
B) Based on your average length calculation in part a, discuss the importance of recording measurements to the appropriate number of significant figures:
It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
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An atom of a _____________________ has two electrons in its outer level and will lose these when it combines with another atom.
a. alkali metal
b. noble gas
c. alkaline earth metal
d. halogen
Answers
Answer:
A alkali metals hope this helps
Answer: c. alkaline earth metal
Explanation: group II elements in the periodic table are generally found as 2+ ions. This is because they have lost two electrons to ionic bonding.
A horizontal spring is attached to a wall at one end and a mass at the other. The mass rests on a frictionless surface. You pull the mass, stretching the spring beyond the equilibrium position a distance A, and release it from rest. The mass then begins to oscillate in simple harmonic motion with amplitude A. During one period, the mass spends part of the time in regions where the magnitude of its displacement from equilibrium is greater than (0.30)A— that is, when its position is between −A and (−0.30)A, and when its position is between (0.30)A and A. What total percentage of the period does the mass lie in these regions?
Answers
Answer:
Δt'/ T% = 90.3%
Explanation:
Simple harmonic movement is described by the expression
x = A cos (wt)
we find the time for the two points of motion
x = - 0.3 A
-0.3 A = A cos (w t₁)
w t₁ = cos -1 (-0.3)
remember that angles are in radians
w t₁ = 1.875 rad
x = 0.3 A
0.3 A = A cos w t₂
w t₂ = cos -1 (0.3)
w t₂ = 1,266 rad
Now let's calculate the time of a complete period
x= -A
w t₃ = cos⁻¹ (-1)
w t₃ = π rad
this angle for the forward movement and the same time for the return movement in the oscillation to the same point, which is the definition of period
T = 2 t₃
T = 2π / w s
now we can calculate the fraction of time in the given time interval
Δt / T = (t₁ -t₂) / T
Δt / T = (1,875 - 1,266) / 2pi
Δt / T = 0.0969
This is the fraction for when the mass is from 0 to 0.3, for regions of oscillation of greater amplitude the fraction is
Δt'/ T = 1 - 0.0969
Δt '/ T = 0.903
Δt'/ T% = 90.3%
what happens to the thermal conductivity of the wall if it's thickness is doubled ?
Answers
If the material's physical characteristics and other factors are constant, doubling the wall's thickness will reduce its thermal conductivity by a factor of two.
What is Thermal conductivity ?The capacity of a material to conduct heat is known as thermal conductivity.
When a wall's thickness doubles, there is now a twofold increase in the amount of material that heat must pass through to move from one side to the other of the wall. This denotes a reduction in thermal conductivity due to a slowing of heat transfer.
Therefore, If the material's physical characteristics and other factors are constant, doubling the wall's thickness will reduce its thermal conductivity by a factor of two.
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A 6.35 kg bowling ball moving 8.49 m/s strikes
a 1.59 kg bowling pin at rest. After, the pin moves 20.1 m/s at a -77.0° angle. What is
the x and y component of the ball's final velocity?
Answers
The x and y component of the ball's final velocity are respectively 7.35 m/s and 4.90 m/s.
What is velocity?
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given that:
Mass of the ball: M = 6.35 kg.
Initial velocity of ball: U = 8.49 m/s.
Mass of the pin at rest: m = 1.59 kg.
Final velocity of pin: v = 20.1 m/s at a -77.0° angle.
Let the x and y component of the ball's final velocity are respectively V₁ m/s and V₂ m/s.
Appling conservation of momentum along x axis:
MU + m.0 = MV₁ + mvcos(-77.0°)
⇒ V₁ = u - (m/M) v cos(-77.0°)
After putting the values we get:
V₁ = 7.35 m/s.
Appling conservation of momentum along y-axis:
M.0 + m.0 = MV₂ + mvsin(-77.0°)
⇒ V₂ = - (m/M) vsin(-77.0°)
After putting the values we get:
V₂ = 4.90 m/s.
Hence, the x and y component of the ball's final velocity are respectively 7.35 m/s and 4.90 m/s.
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7. Solve (3.96 x 10^2)/(1.6 x 10^-8). Be
sure your answer is in scientific notation.
Round to two decimal places.
(1 Point)
Enter your answer
Answers
Answer:
\(2.48*10^{10}\)
Explanation:
Given the expression (3.96 x 10^2)/(1.6 x 10^-8), we are to express in scientific notation. Applying one of the laws of indices which says;
\(\frac{a^m}{a^n} = a^{m-n}\)
The expression becomes;
\(= \dfrac{3.96}{1.6}*\dfrac{10^2}{10^{-8}}\\ \\= \dfrac{3.96}{1.6}*10^{2-(-8)}\\\\= \dfrac{3.96}{1.6}*10^{2+8}\\\\= \dfrac{3.96}{1.6}*10^{10}\\\\= 2.475*10^{10}\\\\= 2.48*10^{10} (to \ 2dp)\)
Short, difficult activities that push your body are called
A.
aerobic activity
B.
anaerobic activity
C.
muscle strength
D.
exercise
Answers
Answer:
B. is your answer
Explanation:
Have a good day
Sincerly, lipor
Short, difficult activities that push your body are called anaerobic activities. Option b is correct
They are high-intensity exercises that do not require oxygen and primarily use stored energy sources within the muscles. Examples include weightlifting or sprinting.
Short, difficult activities that push your body are called anaerobic activity. Anaerobic activities are high-intensity exercises that do not require oxygen and primarily use stored energy sources within the muscles, such as weightlifting or sprinting. These activities help build muscle strength and improve power and speed.
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Select all the correct statements that are always true about conductors. a. A conductor in an electric field becomes polarized. b. In electrostatic equilibrium, the electric field inside a conductor should be zero. c. In electrostatic equilibrium, the electric field inside a conductor should be infinite. d. In electrostatic equilibrium, the electric field must point outward from the surface of the conductor. e. In electrostatic equilibrium, the electric field must point inward from the surface of the conductor.
Answers
Answer:
true b
Explanation:
They ask us to evaluate if the expressions are true
a) False. The concept of polarization refers to the direction of the oscillating electric field in a traveling wave, in this case the shocks cause the wave to disperse
b) True .. Yes, since no work is done inside the conductor, so all the load is on the surface
c) False. In electrostatic equilibrium the voltage must be the same everywhere
d) False. If the charges are positive point out
If the charges are negative point inwards
e) False. If the charge is positive, the pattern is outward
if negative largares points gavia inside.
how does mass and velocity determine the amount of damage that occurs in a collision?
Answers
Answer:
Mass and velocity are both directly proportional to the momentum. If you increase either mass or velocity, the momentum of the object increases proportionally. If you double the mass or velocity you double the momentum.
Explanation:
In 1994, a pumpkin with a mass of 449 kg was grown in Canada. Suppose you want to push a pumpkin with this mass along a smooth, horizontal ramp. You give the pumpkin a good push, only to find yourself sliding backwards at a speed of 4.0 m/s. How far will the pumpkin slide 3.0 s after the push? Assume your mass to be 60.0 kg.
Answers
After pushing the pumpkin hard, you find yourself reversing direction at a speed of 4.0 m/s. 3.0 seconds after being pushed, the pumpkin will slide 12 m. Assume you weigh 60.0 kg.
We can use the conservation of momentum to solve this problem. After the push, the momentum of the system is given by:
p = (449 kg + 60 kg) * v
where v is the speed of the pumpkin and you after the push. Since you end up sliding backward at 4.0 m/s, we have:
v = -4.0 m/s
Substituting this into the expression for momentum, we find:
p = (449 kg + 60 kg) * (-4.0 m/s) = -2036 kg·m/s
The negative sign indicates that the momentum of the system is in the opposite direction of your motion.
During the sliding motion, the net force on the system is given by:
Fnet = (449 kg + 60 kg) * g * sin(θ)
where g is the acceleration due to gravity (9.81 m/s^2) and θ is the angle of the ramp. Since the ramp is smooth and horizontal, θ = 0 and Fnet = 0. Therefore, there is no net force to change the momentum of the system.
Using the equation for motion with constant acceleration, we can find the distance the pumpkin slides in 3.0 seconds:
x = x0 + v0t + (1/2)at²
Since the initial speed of the pumpkin is -4.0 m/s and there is no net force acting on it, its speed remains constant during the slide. Therefore, v0 = -4.0 m/s and a = 0. Substituting these values, we find:
x = x0 + v0t = (-4.0 m/s) * (3.0 s) = -12 m
The negative sign indicates that the pumpkin slides in the opposite direction to your motion. Therefore, the pumpkin slides 12 meters backward (i.e., towards you) in 3.0 seconds after the push.
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Tectonic plate movement is the reason why northern California has a very different landscape than southern California. Two different tectonic plates, each moving in different directions, border the western side of the North American Plate. Use the map to identify the two tectonic plates that border the North American Plate to the west.
Answers
Answer:
Remember, NORTH ^, EAST >, SOUTH v, WEST <
Explanation:
It doesn't have to be a super complex answer. All you have to do is look to the left (west) of the North American plate. What are the 2 plates that you see? The Pacific and the Juan de Fuca, yeah? To the South, there is the Cocos amongst a few others.
I am not going to share the answer for sure as I haven't completed the test yet but that's how I'm solving it. You should write the answer in your own words anyways. Hope this helps! Have a good day :)
Answer:
The Juan de Fuca Plate and the Pacific Plate both border the west side of the North American Plate.
Explanation:
Edmentum
Which of the following is a possible food chain in the North Atlantic Ocean?
A. Zooplankton, phytoplankton, right whale
B. Right whale, Phytoplankton, zooplankton
C. Phytoplankton, right whale, zooplankton
D. Phytoplankton, zooplankton, right whale. Which one would he correct?
Answers
Answer: D
Explanation: if the order is right, zooplankton eat phytoplankton, and zooplankton would be eaten by the whale
Hope it helps! ^w^
Answer:
D
Explanation:
Phytoplankton is very small, zoo plankton is small, and right whales are BIG.
The distance from Earth to the star Proxima Centauri is 4.01 × 10^13 kilometers. What is this distance in lightyears? One light year is equal to 9.46 × 10^12 kilometers.A. 0.424 light yearsB. 4.24 light yearsC. 42.4 light yearsD. 424 light years
Answers
Given:
The distance from the earth to Proxima Centauri is
\(d=\text{ 4.01}\times10^{13}\text{ km}\)Also,
\(1\text{ light year = 9.46 }\times10^{12}\text{ km}\)To find the distance between the earth and Proxima Centauri in light-years.
Explanation:
The distance from the Earth to the Proxima Centauri is
\(\begin{gathered} d=\frac{4.01\times10^{13}}{9.46\times10^{12}} \\ =\text{ 4.24 light years} \end{gathered}\)Thus, the correct option is B
who is a meterologist?
Answers
Answer:
A meteorologist is a scientist who studies weather Explanation:
A meterologist is a scientist who studies the weather condition of an environment.
WHO IS A METEROLOGIST?A meteorologist is a scientist that specifies in the act of understanding and forecasting the atmospheric condition or weather of the Earth surface.
The branch of science that studies weather is called meteorology and a meterologist uses several techniques and tools to explain weather.
Therefore, a meterologist is a scientist who studies the weather condition of an environment.
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while you are waiting to begin a foot race , you can feel your heart rate go up . This is the _ at work.
Answers
Answer:
Sympathetic nervous system.
Explanation:
The sympathetic nervous system prepares the body for the “fight or flight” response during any potential danger. The sympathetic nervous system (SNS) increases heart rate. A faster heart rate (usually) pumps more oxygen-rich blood to the brain and lungs. This can give you the energy to run.
While you are waiting to begin a foot race, you can feel your heart race go up. This is the sympathetic nervous system at work.
Answer:
sympathetic nervous system
Explanation:
calculate the KE of a car which has a mass of 1000 kg and is moving at the rate of 20 m/s
Answers
Answer:
The kinetic energy of the car is \(2.0\cdot 10^5 J\)
Explanation:
if the mass of an object were doubled, its weight would be
Answers
Weight of a body is defined as the force with which it is attached to the earth.
mass is the total quantity of matter present.
the weight of something is given as mass * acceleration
weight of an object is directly proportional to the mass of the object. so, if mass doubles, weight will also double.
hope this helps :)
- jeron
pt 1
Question 4 (1 point)
How much current would flow in a closed circuit that has a 9.0V
battery and 5.00 total resistance?
HELP PLEASE GIVING BRIANLESS
Answers
To calculate the current in a circuit, we can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R). So, in this case, the current would be:
I = V / R
I = 9.0V / 5.00 ohms
I = 1.8 A
So, 1.8 A of current would flow in a closed circuit that has a 9.0V battery and 5.00 total resistance.
a student drops a ball from a height of 86.0m. determine all unknowns and answer the following questions. neglect drag. how long did the ball remain in the air?
Answers
The required time for which the ball remains in air, when the height from which ball is dropped is given is calculated to be 4.19 s.
The vertical distance covered by the ball is given by,
h = u t + 1/2 g t²
The ball is dropped from a height and it is falling freely therefore, the initial speed of the ball is zero.
Plug in the known values,
86 = 0×t + 1/2 × 9.8 × t²
4.9 t² = 86
t² = 17.55
t = 4.19 s
Thus, the time for which ball remains in the air is 4.19 s.
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2 ways in which a weather satellite can orbit the earth
Answers
Answer:
The two most common types of orbit are "geostationary" and "polar."
Answer:2 ways in which a weather satellite can orbit the earth
Explanation:
Long-term health effects are something to consider at nearly every age. What are some behaviors or choices a person could make during midlife that could be obstacles to later-life success? These may include habits, negative perceptions, unmanaged stress, or other health-related behaviors.
Answers
Certain behaviors and choices during this time can have significant impacts on later-life success are poor diet, lack of exercise, smoking and chronic stress.
Poor diet: Consuming a diet that is high in saturated fats, processed foods, and sugar can lead to weight gain, high blood pressure, and other chronic conditions that can have lasting effects on health.
Lack of exercise: Failing to exercise regularly can increase the risk of chronic diseases such as heart disease, diabetes, and certain cancers, which can impact the quality of life in later years.
Smoking: Smoking is a major risk factor for many chronic diseases, including heart disease, stroke, and lung cancer. Quitting smoking during midlife can significantly reduce the risk of these diseases.
Alcohol abuse: Drinking excessively can increase the risk of liver disease, heart disease, and other chronic health conditions that can negatively impact later-life success.
Chronic stress: Unmanaged stress can contribute to the development of mental health problems, such as anxiety and depression, as well as chronic physical health conditions, such as hypertension and heart disease.
By making healthy choices, managing stress, and maintaining positive perceptions and attitudes, individuals can increase their chances of achieving success in later life.
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Use the image below to answer the following question (ruler not to scale).
If magnet B is moved closer to magnet A, how will magnetic potential energy be affected?
O. It will become zero.
O. It willincrease.
O. It will decrease.
O. It will stay the same.
Please help
Answers
Answer:
it depends on wether the + and - are facing eachother
or away from eachother
Explanation:
Answer:
Yes, they are correct, you need to include all parts of the question, don't just copy and paste the words. But in the diagram that was supposed to be there, the magnets' north poles are facing each other. Therefore they would push away from each other if they were to get any closer. So, the magnetic potential energy would decrease due to their movement away from each other. So your answer is (C. It will decrease.
Explanation:
A pendulum of mass 12 kg is released from rest at some height, as shown by
point A in the image below. At the bottom of its arc at point B, it is traveling at
a speed of 19 m/s. What is the approximate amount of energy that has been
lost due to friction and air resistance? (Recall that: g = 9.8 m/s²)
20 m
A35
B186
C78
D112
Answers
The energy lost to friction and air resistance is 186 J.
option B.
What is the energy lost to friction and air resistance?The energy lost to friction and air resistance is calculated from the change in the mechanical energy of the pendulum.
The initial potential energy of the pendulum at the initial position is calculated as;
PEi = mghi
where;
m is the massg is gravityh is the initial heightP.Ei = 12 kg x 9.8 m/s² x 20 m
P.Ei = 2,352 J
The final kinetic energy of the pendulum is calculated as follows;
K.Ef = 0.5 x 12 kg x (19 m/s)²
K.Ef = 2,166 J
ΔE = 2,166 J - 2,352 J
ΔE = -186 J
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A light ray is pointed at the surface of a block of ice at an angle of 32.0° with respect to the normal (a line perpendicular to the surface at the spot where the ray hits the block).
Part of the light is reflected and the rest refracted. What is the angle (in degrees) between the reflected and refracted rays?
Answers
The angle between the reflected and refracted rays is calculated as 8.9 degrees.
What is refracted rays?Ray that passes through an interface between two media and travels into the medium on the other side of the interface is called refracted rays.
As we know, n1sin(theta1) = n2sin(theta2)
n1 and n2 are the indices of refraction of the two media, and theta1 and theta2 are the angles of incidence and refraction, respectively, measured with respect to the normal.
Given, angle of incidence with respect to the normal is 32.0 degrees, ; Index of refraction is 1.31;
1.00sin(32.0) = 1.31sin(theta2)
theta2 = sin^-1((1.00/1.31)*sin(32.0))
= 23.1 degrees
theta3 = 32.0 - 23.1 = 8.9 degrees
Therefore, the angle between the reflected and refracted rays is 8.9 degrees.
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PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP
The first person with the right answer gets to be a brainlest
In the attachment there is a density column where there is colour
Question: tell me why is the red at the bottom of the density column if it is the least dense
Answers
The most dense thing inside the column is the little star. It's pink, and it's resting on the bottom of the cylinder.
The red part under the star is the solid base that the cylinder is standing in. It's probably wood or plastic, it's not free to move, and it's not involved in the experiment.
Answer: That is not meant to be red, it‘s the bottom of the beaker. The star is at the very bottom of the beaker. it’s just the base of the beaker.
A point charge q = -0.55 nC
is fixed at the origin. Where must an electron be placed in order for the electric force acting on it to be exactly opposite to its weight? (Let the y axis be vertical with the positive direction pointing up.)
e=1.60×10−19C
me=9.11×10−31kg
k=8.99×109N⋅m2/C2
Answers
The electron must be placed at a distance of 3.734×10^-5 m from the point charge q in the opposite direction of the gravitational force.
How to find the positionTo find the position where the electric force on the electron is exactly opposite to its weight, we need to set up the equation for the electric force and weight and solve for the position.
The electric force (Fe) between the point charge q and the electron is given by Coulomb's law:
Fe = (1/4πε₀) * (q * e) / r²
where
ε₀ is the electric constant,
r is the distance between the two charges, and
e is the charge of the electron.
The weight (Fg) of the electron is given by:
Fg = m * g
where
m is the mass of the electron and
g is the acceleration due to gravity.
We want to find the distance r where
Fe = -Fg
So we have:
|Fe| = |Fg|
(1/4πε₀) * (q * e) / r² = m * g
Solving for r, we get:
r = sqrt[(1/4πε₀) * (q * e) / (m * g)]
Plugging in the values for the constants and the given charge and mass, we get:
r = sqrt[(1/4π * 8.99×10^9 N⋅m²/C²) * (0.55×10^-9 C * 1.60×10^-19 C) / (9.11×10^-31 kg * 9.81 m/s²)]
r = 3.734×10^-5 m
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