at least two charged interacting parts
What is the first job u do on the ISS if u were an astronaut
If I were an astronaut, the first job I would do on the International Space Station (ISS) would be to familiarize myself with the station and its systems.
What is expected at ISS?I would need to learn how to operate the various equipment and how to maintain the station in good working order. I would also need to learn the procedures for conducting experiments and for performing spacewalks.
Once I had a good understanding of the station and its systems, I would begin working on my assigned tasks. These tasks could include conducting experiments, performing maintenance, or teaching other astronauts new skills. I would also take the opportunity to conduct research on my own and to learn more about the space environment.
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The radius of the earth is 6.4 x 10^6 m . Calculate the angular and linear velocity of a participle at the earth's surface.
Answer: the angular velocity of a particle at the Earth's surface is approximately 7.27 x 10^-5 rad/s, and the linear velocity of the particle is approximately 464.1 m/s.
Explanation:
When an unknown resistance RxRx is placed in a Wheatstone bridge, it is possible to balance the bridge by adjusting R3R3 to be 2500ΩΩ. What is RxRx if R2R1=0.625R2R1=0.625?
Answer:
Rₓ = 1562.5 Ω
Explanation:
The formula for the wheat stone bridge in balanced condition is given as follows:
R₁/R₂ = R₃/Rₓ
where,
Rₓ = Unknown Resistance = ?
R₃ = 2500 Ω
R₂/R₁ = 0.625
R₁/R₂ = 1/0.625 = 1.6
Therefore,
1.6 = 2500 Ω/Rₓ
Rₓ = 2500 Ω/1.6
Rₓ = 1562.5 Ω
A student with a mass of 55 kg rides a bicycle at a speed of 5.0 m/s. The momentum of the bicycle and rider equals 320 kg x m/s.
a. What is the combined mass of the student and bicycle?
b. How fast would the bicycle alone have to move in order to have the same momentum as that of the student and bicycle together?
According to an equation, an object's momentum is determined by multiplying its mass by its velocity. Where m denotes mass and v denotes speed. The equation shows that momentum is inversely proportional to mass and inversely proportional to velocity of an object.
What is the main relation between mass and momentum?The momentum is directly proportional to both mass and speed. The momentum of the object grows proportionately with either an increase in mass or velocity.
Therefore, The momentum of an object increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.
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What is the relationship. Stern average kinetic energy of a gas and it’s temperature?
Average kinetic energy is directly proportional to its temperature-
E= f/2 N k T
E= energy
T= temperature
The _____, where fibers connect the brain's left and right hemispheres, thickens in adolescence, and this improves adolescents' ability to process information
The corpus callosum where fibers connect the brain's left and right hemispheres, thickens in adolescence, and this improves adolescents' ability to process information
The structure referred to in the statement is the corpus callosum. The corpus callosum is a broad band of nerve fibers that connects the left and right hemispheres of the brain. It plays a crucial role in facilitating communication and information exchange between the two hemispheres.
During adolescence, the corpus callosum undergoes a process called thickening, which refers to an increase in its size and structural integrity. This thickening is a result of ongoing myelination, a process where the nerve fibers are coated with a fatty substance called myelin. Myelination enhances the speed and efficiency of electrical impulses transmitted along the nerve fibers.
The thickening of the corpus callosum in adolescence has significant implications for cognitive functioning and information processing. It allows for enhanced coordination and integration of activities between the brain's hemispheres. The improved connectivity between the left and right hemispheres facilitates the transfer of information, enabling adolescents to utilize both sides of their brains more effectively.
As a result, adolescents experience improvements in various cognitive abilities, such as problem-solving, decision-making, and higher-order thinking skills. The enhanced communication between brain regions supports better coordination and integration of cognitive processes, leading to more efficient information processing.
In summary, the thickening of the corpus callosum during adolescence improves adolescents' ability to process information by enhancing communication and coordination between the brain's left and right hemispheres. This developmental change contributes to the cognitive advancements observed during this stage of life.
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Justine's hair dryer has a resistance of 8 Ω when first turned on. How much currentdoes the hair dryer draw from 134 V line in Justine's house?
Ohm's law :
V = I x R
V= voltage = 134 V
R = resistance = 8 Ω
I = current
I = V / R
Replacing:
I = 134/8 = 16.75
Current = 16.75 Ampere [A]
In a 2 dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)
a. dividing by cosine
b. dividing by sine
c. multiplying by cosine
d. multiplying by sine
Answer:
The correct answer is a
Explanation:
The cosine function is
cos θ = ca / H
done ca is the adjacent leg (x-axis) and H is the hypotenuse (vector module)
we clear
H = ca / cos θ
therefore, to find the magnitude of the vector, the cathete is divided into the cosine.
The correct answer is a
What is the height of a shelf that has a 15 kg object with 450 J of gravitational potential energy?
Hello and greetings postlauraann.
So, the height of a shelf with an object that has a mass of 15 kg and Epg of 450 J, is 3.06 meters.
Explanation:We have that this exercise is gravitational potential energy.
We learn that:
Gravitational potential energy is the energy associated with the position of an object in a gravitational field. It is defined as the work done to move an object from a reference position to its current position against the gravitational force.
The formula for gravitational potential energy is:
Epg = m * g * hwhere:
Epg is the gravitational potential energy (in joules)m is the mass of the object (in kilograms)g is the acceleration due to gravity (approximately 9.8 m/s² at the Earth's surface)h is the height of the object above a reference position (in meters)He is asking us to calculate the height of a shelf that has an object with a mass of 15 kg, and an Epg of 450 Joules, knowing the gravity is 9.8 m/s².
What we do next is clear is the Epg formula, to calculate the height, then
Epg = m × g × hh = (Epg)/(m × g)Now, we substitute the data in the cleared formula to calculate the height:
h = (Epg)/(m × g)
h = (450 J)/(15 kg × 9.8 m/s²)
h = (450 J)/(147 kg × m/s²)
h ≅ 3.06 m
So, the height of a shelf with an object that has a mass of 15 kg and Epg of 450 J, is 3.06 meters.
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a water tank holds water to the depth of the 80cm what is the pressure of the water of the tank
Answer:
7976 Pascals significant figure= 7.9*10^3
Explanation:
formula of hpg = height*density*gravitational energy
.80*10*997=7976 pascals
Hi so I have multiple questions, if it's possible, can anyone please help me do all 3? If you do, can you please label them like 1., 2., 3., including the answer? Thank you <3
1. Tyler asks to go get water, taking the hall pass. Rather than coming right back, she stands outside every teacher’s classroom, waving hi with the hall pass in her hand. She traveled 20 meters using a force of 0.5N to carry the hall pass. What is the amount of work Tyler did, rather than being in science?
Answer: ?
2. Suppose Julieta M. was putting on lip gloss and Ciara used 3N to take the lip gloss. She then hid it across the room for a total of 18 Joules of work. How many meters did Ciara walk across the room?
Answer: ?
3. Imagine that Yamielth and Cianna are asked to bring Mr. Williams a few copies of behavior charts for 6-2, taking the office pass. They traveled 4 meters, however, Yamileth completed 28 Joules of work while Cianna completed 36 Joules of work. Calculate the amount of force each girl used to get Mr. Williams the copies and which student used greater force.
Answer: ?
Answer:
Explanation:
1) The amount of work done by Tyler is equal to the force applied multiplied by the distance over which the force is applied. In this case, the force applied is 0.5 N and the distance is 20 meters. So, the work done is 0.5 N x 20 meters = 10 Joules
2) The work done is equal to the force applied multiplied by the distance over which the force is applied. In this case, the work done is 18 Joules and the force applied is 3 N. To find the distance, we can divide the work by the force: 18 Joules / 3 N = 6 meters
3) To find the force applied by each girl, we can use the formula work = force x distance.
Yamileth: 28 Joules = force x 4 meters => force = 28 Joules / 4 meters = 7 N
Cianna: 36 Joules = force x 4 meters => force = 36 Joules / 4 meters = 9 N
Yamileth used a force of 7 N to get Mr. Williams the copies and Cianna used a force of 9 N. Therefore, Cianna used greater force than Yamileth.
The small spherical planet called "Glob" has a mass of 7.88×10^18 kg and a radius of 6.32×10^4 m. An astronaut on the surface of Glob throws a rock straight up. The rock reaches a maximum height of 1.44×10^3 m, above the surface of the planet, before it falls back down.
1. What was the initial speed of the rock as it left the astronaut's hand? (Glob has no atmosphere, so no energy is lost to air friction. G = 6.67×10^-11 Nm2/kg2.)
2. A 36.0 kg satellite is in a circular orbit with a radius of 1.45×10^5 m around the planet Glob. Calculate the speed of the satellite.
(a) The initial speed of the rock as it left the astronaut's hand is 19.35 m/s.
(b) The speed of the satellite is 50.24 m/s.
Acceleration due to gravity of the planet
g = GM/R²
where;
M is mass of the planetR is radius of the planetg = (6.67 x 10⁻¹¹ x 7.88 x 10¹⁸)/(63200)²
g = 0.13 m/s²
Initial speed of the rockv² = u² - 2gh
where;
v is final velocityu is initial velocityat maximum height, v = 0
u² = 2gh
u = √2gh
u = √(2 x 0.13 x 1,440)
u = 19.35 m/s
Speed of the satellitev = √GM/r
M is mass of the planet Globr is the total distance from the center of the planet Globr = radius of planet Glob + radius of the satellite
r = 63200 m + 145,000 m = 208,200 m
v = √[(6.67 x 10⁻¹¹ x 7.88 x 10¹⁸)/(208,200)]
v = 50.24 m/s
Thus, the initial speed of the rock as it left the astronaut's hand is 19.35 m/s.
The speed of the satellite is 50.24 m/s.
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A 0.842g sample of Hydrogen 3 decays until 0.0526g remains. How many half lives have occurred?
A 0.842g sample of Hydrogen-3 decays to 0.0526g. Approximately 4.206 half-lives have occurred.
To determine the number of half-lives that have occurred, we can use the decay equation and the concept of exponential decay. The decay equation for radioactive decay is given by:
N(t) = N₀ * (1/2)^(t/T),\((1/2)^(^t^/^T^),\)
where N(t) is the remaining amount of the substance at time t, N₀ is the initial amount, t is the time elapsed, and T is the half-life of the substance.
In this case, we have an initial mass of 0.842g (N₀) and a remaining mass of 0.0526g (N(t)). We can set up the equation as follows:
0.0526g = 0.842g \(* (1/2)^(^t^/^1^2^.^3^2)\),
where t represents the number of half-lives that have occurred.
To solve for t, we can take the logarithm of both sides of the equation:
log(0.0526g/0.842g) = log\([(1/2)^(^t^/^1^2^.^3^2^)\)].
Using the logarithmic property log(\(a^b\)) = b*log(a), we can rewrite the equation as:
log(0.0526g/0.842g) = (t/12.32) * log(1/2).
Simplifying further:
log(0.0526g/0.842g) = (t/12.32) * (-log2),
where log2 is the logarithm base 2.
Now, we can solve for t:
t = (12.32 * log(0.0526g/0.842g)) / (-log2).
Using the given values and performing the calculation, we find:
t ≈ 4.206.
Therefore, approximately 4.206 half-lives have occurred.
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calculate kinetic energy of a planet using 5.97 x 10^24 kg mass and v at 30.29 km s-1
Answer:
2.74 × 10^33 J
Explanation:
the formula to calculate kinetic energy is:
1/2mv²
m= mass (kg)
v= velocity (m/s)
given that,
m = 5.97 × 10^24
v = 30.29 km s-1
= 30290 m s-1
1/2× 5.97 × 10^24 × 30290²
=2.74 × 10^33 J
what sugar do plants produce that other organisms need through photosynthesis
(a) water
(b) glucose
(c) oxygen
(d) carbon dioxide
Answer:
The answer to the question is glucose
5. A rope exerts a constant horizontal force of 350 N to pull a 40-kg crate across the floor. The velocity of the crate is observed to increase from 1 m/s to 9 m/s in a time of 2 seconds under the influence of this force and the frictional force exerted by the floor on the crate.
a. What is the net force acting upon the crate?
b. What is the magnitude of the frictional force acting upon the crate?
The crate is being pulled by a total force of 160 N. the box is being subjected to a 350 N frictional force. The crate is being movement to a 96.99 N force of friction.
What pulls with a 250 N continuous horizontal force applied by a rope?A rope pulls a 60 kg 60 kg container across the floor with a constant force applied of 250 N. Under the impact of this coercion and the compressive stress the floor exerts on the crate, it is seen that the speed of the crate increases from 1 m/s to 3 m/s to 3 m/s in a period of 2 seconds.\($a = \frac{\Delta v}{\Delta t} =\frac{9}{ \text m/s - 1} \text m/s^2, \text s = 4, \text{and} \ \text m/s 2$\)
The following formula can be used to determine the net force on the crate:
\(\rm F_{net }= ma = (40kg)(4m/s) = 160 N\)
As a result, the crate is being pulled by a total force of 160 N.
What is the frictional force's magnitude?The degree of kinetic friction is inversely correlated with the level of normal force and the level of irregularity in between sliding surfaces. The magnitude of static friction is inversely related to the amount of normal force and the measure of roughness between of sliding surfaces.\((40 \text kg) = $N = mg 9.81 \text m/s^2= 392.4 \text N$\)
As the coefficient of friction factor between the crate and the floor is not provided, we are unable to directly calculate it. Yet, we are aware that the 350 N force exerted by the rope must be balanced by a force of friction that is both equal to and directed in the opposite direction. Hence, it is possible to compute the frictional force's magnitude as follows:
\(355 \text N, $F friction\)
As a result, the box is being subjected to a 350 N frictional force.
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When an electromagnetic wave such as light interacts with a solid and polarizes the electron clouds within the atomic structure of that solid, what are the (2) primary consequences of this interaction
Answer:
1. Absorption or Emission of the light
2. Light induced changes in the matter
Explanation:
When an electromagnetic wave such as light interacts with solid, two consequences are for sure:
1. Absorption or Emission of the light
2. Light induced changes in the matter
When light travels through the solid, the intensity of light decreases as a result of addition of light energy to the body to which it interacts. If the medium or body to which light interacts is low in absorbing due to its atomic structure inside then light passing through it will show it. On the contrary, if a material is high in absorbing, very less intensive light will travel out.
Moreover, there will ionization of the atoms inside the medium to which light interacts. As light carries energy and when it interacts with atoms of the body, atoms gets energy and excited or de-excited accordingly.
Hence, above are the two primary consequences of this interaction.
a 4 kg block is moving at 12 m/s on a horizontal frictionless surface. a constant force is applied such that the block slows with an acceleration of 3 m/s^2. how much work must this force do to stop the block?
a. -576 J
b. -360 J
c. -288 J
d. 360 J
e. 576 J
The block comes to a rest from 12 m/s with acceleration 3 m/s^2, which is carried out over a distance x such that
(12 m/s)^2 - 0^2 = 2 (3 m/s^2) x
=> x = (12 m/s)^2 / (2 (3 m/s^2)) = 24 m
The force itself has a magnitude F such that
F = (4 kg) (3 m/s^2)
=> F = 12 N
This force is pointing opposite the direction in which the block is moving, so the work it's performing is negative, and the work done is
W = - (12 N) (24 m) = -288 Nm = -288 J
which makes C the answer.
Name two types of mechanical weathering in NewBedford
Answer:
Explanation:
Mechanical weathering types
Mechanical weathering is the breaking down of rocks into smaller pieces without changing the composition of the minerals in the rock. This can be divided into four basic types – abrasion, pressure release, thermal expansion and contraction, and crystal growth.
3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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While Kepler supported the Copernican model of the universe Kepler concluded the following
A the circular orbits of the copernican model weren’t correct paths of planets were elliptical
B all other bodies in the universe move around the earth in circular paths
C all other bodies in the universe move around the moon in triangular paths
D the circular orbits of the Copernican model weren’t correct paths of planets were rectangular
Answer:
Explanation: because Keller concluded that the circular obits of the Copernican model weren't correct paths of planets were elleptical
why isn't direct current used in transformers
Answer:
No, it will not and this has a historical importance. The reason is that transformers work via induction of electrical forces by changes in magnetic fields, so the constat fields produced by dc currents won't work at all
Explanation:
A barge is pulled by two tugboats. If the resultant of the forces exerted by the
tugboats is 5kN force directed along the axis of the barge, determine the tension in
each of the ropes for α = 45
Answer:
Approximately \(3.5\; \rm kN\) in each of the two ropes.
Explanation:
Let \(F_1\) and \(F_2\) denote the tension in each of the two ropes.
Refer to the diagram attached. The tension force in each rope may be decomposed in two directions that are normal to one another.
The first direction is parallel to resultant force on the barge.
The component of \(F_1\) in that direction would be \(\displaystyle F_1\cdot \cos(45^\circ) = \frac{F_1}{\sqrt{2}}\).Similarly, the component of \(F_2\) in that direction would be \(\displaystyle F_2\cdot \cos(45^\circ) = \frac{F_2}{\sqrt{2}}\).These two components would be in the same direction. The resultant force in that direction would be the sum of these two components: \(\displaystyle \frac{F_1 + F_2}{\sqrt{2}}\). That force should be equal to \(5\; \rm kN\).
The second direction is perpendicular to the resultant force on the barge.
The component of \(F_1\) in that direction would be \(\displaystyle F_1\cdot \sin(45^\circ) = \frac{F_1}{\sqrt{2}}\).Similarly, the component of \(F_2\) in that direction would be \(\displaystyle F_2\cdot \sin(45^\circ) = \frac{F_2}{\sqrt{2}}\).These two components would be in opposite directions. The resultant force in that direction would be the difference of these two components: \(\displaystyle \frac{F_1 - F_2}{\sqrt{2}}\). However, the net force on the barge is normal to this direction. Therefore, the resultant force should be equal to zero.
That gives a system of two equations and two unknowns:
\(\displaystyle \frac{F_1 + F_2}{\sqrt{2}} = 5\; \rm kN\), and\(\displaystyle \frac{F_1 - F_2}{\sqrt{2}} = 0\).The second equation suggests that \(F_1 = F_2\). Hence, replace the \(F_2\) in the first equation with \(F_1\) and solve for \(F_1\!\):
\(F_1 = \displaystyle \frac{5\; \rm kN}{2\, \sqrt{2}} \approx 3.5\; \rm kN\).
Because \(F_1 = F_2\) (as seen in the second equation,) \(F_2 = F_1 \approx 3.5\; \rm kN\).
In other words, the tension in each of the two ropes is approximately \(3.5\; \rm kN\).
The tension in each of the rope is 3,535.5 N
The given expression:
the resultant force, R = 5 kN = 5000 N
the angle in between the forces, α = 45
To find:
the tension in each of the ropesThe tension in each of the ropes is calculated as follows;
The tension in vertical direction
\(F_y = F \times sin(\alpha)\\\\F_y = 5000 \times sin(45)\\\\F_y = 5000 \times 0.7071\\\\F_y = 3,535.5 \ N\)
The tension in horizontal direction;
\(F_x = F \times cos(\alpha)\\\\F_x = 5000 \times cos(45)\\\\F_x = 5000 \times 0.7071\\\\F_x = 3,535.5 \ N\)
Thus, the tension in each of the rope is 3,535.5 N
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how many taste buds do humans have 100,000, 100, 10,000 1,000
The approximate number of taste buds that humans have is 10,000 (option C).
What are taste buds?Tastebuds are any of the small organs on the tongue used for tasting.
Taste buds are cells on the tongue that allow one to perceive tastes, including sweet, salty, sour, bitter and umami.
Taste buds regenerate approximately every 10 days, which means injured taste buds usually repair on their own. The average adult human has between 2000 and 8000 tastebuds.
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In the 4.6 billion year history of the Earth, how many times have continents of our planet gone through major shifts if these shifts happen on average every 395 million years?
Continents have undergone major shifts around 12 times.
To calculate the number of times continents have gone through major shifts in the 4.6 billion year history of the Earth, we can divide the total time span by the average duration between shifts.
Total time span = 4.6 billion years
Average duration between shifts = 395 million years
To convert the total time span to years, we multiply 4.6 billion by 1 billion (1 billion = 1,000 million).
Total time span in years = 4.6 billion years × 1 billion = 4.6 × 10^9 years
Now we can calculate the number of shifts by dividing the total time span by the average duration between shifts:
Number of shifts = Total time span / Average duration between shifts
= (4.6 × 10^9 years) / (395 million years)
≈ 11.65
Therefore, continents of our planet have gone through major shifts approximately 11.65 times in the 4.6 billion year history of the Earth. Since we cannot have a fraction of a shift, we can round the result to the nearest whole number. Thus, continents have undergone major shifts around 12 times.
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1. What are the main activities involved in studying physics?
I
Which of the following energy forms is the sum of kinetic energy and all forms of potential energy?
A.total energy
B.sum (Σ) energy
C.nonmechanical energy
D.mechanical energy
Answer: D, mechanical energy
Answer:
D.mechanical energy
Explanation:
The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy. This sum is simply referred to as the total mechanical energy.
How did astronomers precisely determine the length of an Astronomical Unit in the 1960s?
Answer:
Use of telemetry and radar astronomy
Explanation:
An astronomical Unit (AU) is a unit of measuring distances in outer space, which is based on the approximate distance between the earth and the Sun.
After several years of trying to approximate the distance between the Sun and the Earth using several methods based on geometry and some other calculations, advancements in technology made available the presence of special motoring equipment, which can be placed in outer space to remotely monitor and measure the position of the sun.
The use of direct radar measurements to the sun (radar astronomy) have also made the determination of the AU more accurate.
A standard radar pulse of known speed is sent to the Sun, and the time with which it takes to return is measured, once this is recorded, the distance between the Earth and the Sun can be calculated using
distance = speed X time.
However, most of these means have to be corrected for parallax errors
1. At t=0s, a particle moving in the x-y plane with constant acceleration has a velocity ofv; = (3î-2)) m/s, and is at the origin. At t=3s, the particle's velocity is f = (91+7j) m/s. Find (a)the acceleration of the particle (b) Its coordinates at t=3s
Answer:
the particle is at coordinates (18,15/2)
Explanation:
To find the acceleration of the particle, we can use the formula for velocity: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. Since we know the initial and final velocities, as well as the time interval, we can solve for the acceleration:
a = (v - v0)/t = [(9i + 7j) - (3i - 2j)]/3 = (6i + 9j)/3 = 2i + 3j
So the acceleration of the particle is a = 2i + 3j m/s².
To find the coordinates of the particle at t=3s, we can use the formula for position: r = r0 + v0t + 1/2at², where r0 is the initial position. Since the particle starts at the origin, r0 = 0. Plugging in the values we have:
r = 0 + (3i - 2j)(3) + 1/2(2i + 3j)(3)² = 9i - 6j + 9i + 27/2 j = 18i + 15/2 j
We can use the kinematic equations of motion to solve this problem.
Let the acceleration of the particle be a = axî + ayj.
(a) Using the equation of motion v = u + at, where u is the initial velocity:
f = v = u + at
Substituting the given values, we get:
(91+7j) = (3î-2j) + a(3î + 3j)
Equating the real and imaginary parts, we get:
91 = 3a + 3a (coefficients of î are equated)
7 = -2a + 3a (coefficients of j are equated)
Solving these equations simultaneously, we get:
a = î(23/6) + j(1/2)
So the acceleration of the particle is a = (23/6)î + (1/2)j.
(b) Using the equation of motion s = ut + (1/2)at^2, where s is the displacement and u is the initial velocity:
At t = 3s, the displacement of the particle is:
s = ut + (1/2)at^2
Substituting the given values, we get:
s = (3î-2j)(3) + (1/2)(23/6)î(3)^2 + (1/2)(1/2)j(3)^2
Simplifying, we get:
s = 9î + (17/2)j
So the coordinates of the particle at t=3s are (9, 17/2).
Particles q1 =+9.33 uC, q2 =+4.22 uC, and q3=-8.42 uC are in a line. Particles q1 and q2 are separated by 0.180 m and particles q2 and q3 are separated by 0.230 m. What is the net force on particle q2?
The net force on q₂ will be 1.07 x 10⁻² N, pointing to the left.
To find the net force on particle q₂, we need to calculate the force due to q₁ and q₃ individually and then add them up vectorially. We can use Coulomb's law to calculate the force between two point charges:
F = k × (q₁ × q₂) / r²
where F is the magnitude of the force, k is Coulomb's constant (k = 8.99 x 10⁹ Nm²/C²), q1 and q2 are the charges of the two particles, and r is the distance between them.
The force due to q₁ on q₂ can be calculated as:
F₁ = k × (q₁ × q₂) / r₁²
where r1 is the distance between q₁ and q₂ (r₁ = 0.180 m).
Similarly, the force due to q₃ on q₂ can be calculated as:
F₂ = k × (q₃ × q₂) / r₃²
where r₃ is the distance between q₂ and q₃ (r₃= 0.230 m).
The direction of each force can be determined by the direction of the electric field due to each charge. Since q₁ and q₃ have opposite signs, their electric fields point in opposite directions. Therefore, the force due to q₁ points to the left and the force due to q₃ points to the right.
To find the net force, we need to add up the forces vectorially. Since the forces due to q₁ and q₃ are in opposite directions, we can subtract the magnitude of the force due to q₃ from the magnitude of the force due to q₁ to get the net force on q₂:
Fnet = F₁ - F₃
Substituting the values we get:
Fnet = k × (q₁ × q₂) / r₁² - k × (q₃ × q₂) / r₃²
Plugging in the values we get:
Fnet = (8.99 x 10⁹ Nm²/C²) × [(9.33 x 10⁻⁶ C) × (4.22 x 10⁻⁶ C) / (0.180 m)² - (-8.42 x 10⁻⁶ C) × (4.22 x 10⁻⁶ C) / (0.230 m)²]
Fnet = 1.07 x 10⁻² N
Therefore, the net force on q₂ is 1.07 x 10⁻² N, pointing to the left.
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