Answer:
0.050 m
Explanation:
The strength of the magnetic field produced by a current-carrying wire is given by
[tex]B=\frac{\mu_0 I}{2\pi r}[/tex]
where
[tex]\mu_0=4\pi \cdot 10^{-7} H/m[/tex] is the vacuum permeability
I is the current in the wire
r is the distance from the wire
And the magnetic field around the wire forms concentric circles, and it is tangential to the circles.
In this problem, we have:
[tex]I=1.41 A[/tex] (current in the wire)
[tex]B=5.61\mu T=5.61\cdot 10^{-6} T[/tex] (strength of magnetic field)
Solving for r, we find the distance from the wire:
[tex]r=\frac{\mu_0 I}{2\pi B}=\frac{(4\pi \cdot 10^{-7})(1.41)}{2\pi (5.61\cdot 10^{-6})}=0.050 m[/tex]
what is the diagram of wave??!
Answer:
1. Equilibrium
2. Amplitude
3. Wavelength
4. Trough
5. Crest
6. Wavelength
7. Trough
8. Crest
Explanation:
Waves are the periodic disturbances in any medium. The common examples of waves are sound waves and water waves. In this figure, the several parts of waves have been described. Here, I will explain them one by one.
1. Consider a normal line, which we will take as a reference. We call it Equilibrium.
2. The vertical distance from Equilibrium to the highest or lowest point (also called peak points) of wave is called Amplitude.
3. The distance between two corresponding peak points is called Wavelength.
4. The lower part of the wave, which is below the equilibrium is called Trough.
5. The upper part of wave, which is above the equilibrium is called Crest.
6. Wavelength: As Explained in point 3
7. Trough: As Explained in point 4.
8. Crest: As Explained in point 5.
A toy train moves 40m in 20s at the constant velocity. What is the toy’s velocity? *
1 point
Answer:
2 m/s
Explanation:
Velocity is a vector quantity that is given by:
[tex]v=\frac{d}{y}[/tex]
where
d is the displacement of the object (a vector indicating its change in position)
t is the time elapsed
Note that since velocity is a vector, it has both a magnitude and a direction (the same as the displacement).
For the toy train in this problem, we have:
d = 40 m (displacement)
t = 20 s (time elapsed)
So, its velocity is:
[tex]v=\frac{40}{20}=2 m/s[/tex]
An engine converts 95% of its energy to mechanical. What happens to the other 5% of its energy?
Answer:
Here, 5% of energy wasted as a heat lost or work done against frictional forces.
Explanation:
No engine has yet made that can convert its all input energy into mechanical energy. Some of the input energy goes in vain in the form of heat and friction.
(Remember: Use the final velocity formula) A vehicle is approaching a stop light. The vehicle slams on their
breaks and begins to decelerate at -2.5 m/s2. It takes the car 4 seconds to come to a near stop. The car had an
initial velocity of 12 m/s. Determine the car's final velocity.
Answer:
v = 2m/s
Explanation:
V = u + at
Where v = final velocity
u = initial velocity
a = acceleration
t = time
Given u = 12m/s
a = -2.5m/s^2
t = 4 secs
Therefore
v = 12 + (-2.5 x 4)
v = 12 + (-10)
Positive negative gives negative. So the positive sign changes to negative sign
v = 12 - 10
v = 2m/s
List four precautions should be followed when handling brake fluid.
Answer:
Always store brake fluid in its original container and make sure the cap is very tight. ...
Never reuse brake fluid that has been drained from the brake system or even fresh fluid that has been allowed to sit in an open container, because brake fluid is quickly contaminated by dust, air, and moisture. Eyes: Eye contact will cause irritation. ...
Skin: Wash well with soap and water. ...
Ingestion: If a substantial quantity is ingested, obtain medical attention immediately.
Aspiration: Obtain medical attention immediately.
Inhalation: In the unlikely event of inhalation, remove from exposure and obtain medical attention.
Explanation:
When handling brake fluid, it is important to wear protective clothing and equipment, avoid inhalation and ingestion, avoid skin contact, and store and dispose of it properly.
Explanation:When handling brake fluid, there are several precautions that should be followed to ensure safety:
Wear protective clothing and safety equipment: This includes gloves, safety goggles, and a lab coat to protect your skin and eyes from contact with the fluid.Avoid inhalation and ingestion: Brake fluid can be toxic if inhaled or ingested, so it's important to work in a well-ventilated area and avoid eating, drinking, or smoking while handling it.Avoid skin contact: Brake fluid can cause skin irritation and allergic reactions. If it comes into contact with your skin, immediately wash it off with soap and water.Store and dispose properly: Brake fluid should be stored in a tightly sealed container away from heat sources. When disposing of it, follow the proper regulations and guidelines in your area.Learn more about precautions when handling brake fluid here:https://brainly.com/question/32398458
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a sailboat is moving at a constant velocity of 8 km/h eastward as shown in the picture below
Complete Question:
A sailboat is moving at a constant velocity of 8 km/h eastward as shown in the picture below. Describe three forces acting on the boat. Explain how two of those forces affects the boat.
Answer:
The three forces acting on the sail boat is the forward force or the force with which the boat is moving, the frictional force or the resisting force by the water waves and the buoyant force acting on the body of the ship.
Explanation:
As the sailboat is moving with a velocity of 8 km/h towards east, then the pushing force is acting due to wind on the boat. So the wind is pushing the boat toward the east direction. But at the same time, the flow of water tides will provide a frictional or resisting force to the movement of ship.
So this resisting force by the tides on the sailboat is less compared to the force of the wind. So the boat is moving instead of collapsing. Similarly, another force acting on the boat will be the buoyant force.
This force will keep the boat on the surface of the water as a floating surface because of lesser density of boat compared to water. So the pushing force and the buoyant force helps in keeping the boat to be in motion and on surface of water.
Explain how sociology will contribute to the understanding of daily life and what is happening within it?
Answer:
Explain how sociology will contribute to the understanding of daily life and what is happening within it?
Sociology is the study of society of human being, how they develop and those things put in place for such development
Explanation:
Sociology helps to develop culture, how people interact with one another and this boost the relationship and development as far as human society is concerned.
Give reasons:
A freely suspended magnet shows
N-S poles at rest.
Answer:
A freely suspended magnet comes to rest along the N-S direction.
Explanation:
-Irrespective of direction of suspension, the bar eventually comes to rest at earth's N-S direction.
-Bar end that points to Earth's north is called the North Pole. Bar end that point's to earth's south is called the South pole.
-The reason for this default positioning is called the Directive Property. This is because earth acts as an external magnetic field.
what is the charge value of 45 electrons
Answer:
[tex]7.2\times 10^{-18}C[/tex]
Explanation:
-Let x be the charge of 45 electrons
-An electron has a relatively law mas.
-Using the law of proportions, the charge value of 45 electrons is calculated as:
[tex]1e=1.6 \times 10^{-19} coulomb\\45e=x\\\\x=\frac{45\times1.6 \times 10^{-19} coulomb}{1e}\\\\x=7.2\times 10^{-18}C[/tex]
Hence, the electron charge of 45 electrons is [tex]7.2\times 10^{-18}C[/tex]
Which vector has an x-component with a length of 4?
Answer:ITS Y
Explanation:
Which scientist is BEST known for research that led to the modern understanding
of the atom? * Dalton, Newton, galileo or copernicus
Dalton is best known for research that led to the modern understanding of the atom.
Explanation:
John Dalton is recognised as father of atomic theory. This is because, he was the first researcher to postulate the basic property or a basic model of an atom. He used this postulates for his research in chemistry. Though most of the postulates he stated seemed to be modified in this era. But the concept of a tiny indivisible particle was introduced by him which lead to the research field of atomic particles. Though now they are not indivisible particles any more but still the recognition is given to him for opening a new stream of research. Thus, Dalton is best known for research that led to the modern understanding of the atom.
Final answer:
John Dalton is best known for his work that led to the modern understanding of the atom and is considered the father of modern atomic theory.
Explanation:
The scientist best known for research that led to the modern understanding of the atom is John Dalton. Dalton, an English scientist, proposed the modern atomic theory, underpinning it with experimental evidence and analytical studies of chemical reactions, notably the weights of reacting elements and compounds. His insights are crucial to the development of chemistry.
Dalton showed exceptional insight into the nature of matter, and his ideas provided a framework that was later modified and expanded by others. Some other notable scientists who have contributed to the atom's understanding include J.J. Thomson, Marie and Pierre Curie, Ernest Rutherford, and Niels Bohr. Dalton's work marked a major leap in the comprehension of matter that dated back to the philosophical speculations of ancient Greek philosophers.
John Dalton's contributions to the atomic model were foundational and have earned him a place in history as the father of modern atomic theory. His theory paved the way for future discoveries and developments in atomic physics and chemistry.
when do surface waves reach land
Answer:
Surface waves are the kind of waves that occur on the surface of the ocean. The reason behind their occurrence is the geological effects, usually in the form of winds in near geographical regions or in that region.
These waves reach the land when the geological winds give a push to the waves and they travel miles and finally hit the land. These waves range in sizes, for small sizes to the the size of tsunami.
Answer with Explanation:
"Surface waves" are also known as "wind-generated waves." Such waves occur on the surface of the water that has a zero parallel shear stress. Their speed upon reaching the land will depend upon the wind blowing over the fluid's surface. So, this means that they could travel several miles before actually reaching the land. They could also come in different sizes, from small ripples to big tsunamis.
The factors that tell the time when the surface waves reach the land are: wind speed, depth of the water, wind duration, the area that is affected by the fetch (width) and the uninterrupted distance of open water.
The output of a mobile phone charger is labelled ‘5 V, 1 A, 5 W’. How much electrical energy will be supplied by the charger when it runs steadily for ten minutes?
The electrical energy supplied by the mobile phone charger when it runs steadily for ten minutes is 3000 Joules.
Explanation:The electrical energy supplied by a device is given by the formula: Energy = Power x Time. In this case, the power is given as 5W, and time is 10 minutes, which needs to be converted to seconds (as the standard unit of time in physics is second) by multiplying it by 60. Therefore, the electrical energy supplied by the charger running steadily for ten minutes can be calculated using this formula as: Energy = 5W x (10 x 60s) = 3000 Joules
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Bob the velociraptor chases Baby Yoda ( mass of 10kg) down a hill. At the bottom baby Yoda has a velocity of 15 m/s . What was baby yoda's kinetic energy at the bottom of the hill?
Answer:
K. E = 1125 J or 1.125KJ
Explanation:
Mass (m) =10kg
Velocity (v) = 15m/s
Kinetic energy = ½ mv²
K. E = ½ × 10 × 15²
K. E = 5 × 225
K. E = 1125Joules
K. E = 1125 J or 1.125KJ
I hope this was helpful, please mark as brainliest
Answer:1125joules
Explanation:
Mass(m)=10kg velocity(v)=15m/s
Kinetic energy=mv^2/2
Kinetic energy =(10 x 15^2)/2
Kinetic energy =(10 x 225)/2
Kinetic energy =2250/2
Kinetic energy =1125joules
If the time of impact in a collision is extended by 3 times, by hour much is
the force of impact altered?
Answer:
The force of the impact would be smaller
Explanation: Examples:
If the force is big then the time would be small (2500N of Force = 10 seconds)
If the force is small then the time would be big (250N of Force = 50 seconds)
Impulse/Collision -> [Ft] = [M (vf-vo)] <- Change in momentum
If the mass and change in velocity stay constant, extending the time of contact in a collision by three times reduces the force of impact to one-third of its original value.
The force of impact in a collision is determined by several factors, including the mass and velocity of the objects involved. When the time of impact is extended, it means that the duration of the collision is longer. Assuming the mass and initial velocities of the objects remain constant if the time of impact is extended by 3 times, the force of impact will be reduced.
To understand this, let's consider the equation for average force:
Force = (mass * change in velocity) / time
If we assume the mass and change in velocity are constant, and the time of impact is extended by a factor of 3, then the force will be reduced by a factor of 1/3.
In other words, if the original force of impact was F, after extending the time of impact by 3 times, the new force of impact would be F/3.
Therefore, Extending the time of impact in a collision by three times reduces the force of impact to one-third of its original value, assuming the mass and change in velocity remain constant.
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A weightlifter goes to lift a 100 kg bar over her head which is 2.0 m in the air. How much work did the weightlifter do to lift the bar?
Answer:
[tex]W = -1960 \ \rm J[/tex]
Explanation:
Given data:
Mass of the bar, [tex]m = 100 \ kg[/tex]
Height, [tex]h = 2.0 \ m[/tex]
The work done by the weightlifter can be expressed as,
[tex]W = F.h\textrm{cos} \theta[/tex]
Here,
F = mg
[tex]\theta[/tex] = angle between the fore and the vertical displacement which [tex]180^{\circ}.[/tex]
Thus,
[tex]W = 100 \times 9.80 \times 2.0\textrm{cos} 180^{\circ}[/tex]
[tex]W = -1960 \ \rm J.[/tex]
The heating of Venus led to a further release of ______ from its surface. With nowhere for the greenhouse gas to go, Venus ended up with a ________ greenhouse effect.
methane (CH4), large
carbon dioxide (CO2), runaway
water (H2O), runaway
carbon dioxide (CO2), small
Answer:
The answer would be B
Explanation:
The atmosphere of Venus traps in lots of what from the Sun, it is the hottest planet in our solar system because of this. CO2 is a greenhouse gas and traps in heat. So B would be your answer.
Final answer:
The correct answers are 'carbon dioxide (CO₂)' and 'runaway'. The heating of Venus increased the amount of CO₂, leading to a runaway greenhouse effect where surface temperatures rose uncontrollably as water vapor and CO₂ continued to amplify the warming.
Explanation:
The heating of Venus led to a further release of carbon dioxide (CO₂) from its surface. With nowhere for the greenhouse gas to go, Venus ended up with a runaway greenhouse effect. This process implies a significant increase in atmospheric CO₂ and water vapor (H₂O), which amplify the greenhouse effect. As the surface temperatures increased, more CO₂ and H₂O were released. This continuous cycle led to such high temperatures that Venus' oceans evaporated, and without water to dissolve the excess CO₂, the planet was left with mostly CO₂ in its atmosphere. The loss of water is irreversible, and Venus reached a new, much hotter equilibrium near its surface, which is a clear characteristic of a runaway greenhouse effect.
Name 1 energy transformation system. (example: Flashlight=chemical energy->electrical energy->light energy +
thermal energy
Answer: Laptop= Chemical Energy (from the battery having a chemical reaction)> Electrical Energy> Light Energy
Explanation:
Joshua Williams 50kg he takes 40 seconds to carry a 10 kg suitcase up a flight of stairs 3 meters high what is his power
The power of Joshua williams is 44.1HP
Explanation:
Given,
Mass of Joshua, m1 = 50kg
Mass of the suitcase, m2 = 10kg
Total mass, m = m1 + m2
m = 50 + 10kg
m = 60kg
Time, t = 40s
Height, h = 3m
Power, P = ?
We know,
Acceleration due to gravity, g = 9.8m/s²
Work, W = m X g X h
W = 60 X 9.8 X 3
W = 1764J
[tex]Power = \frac{Work}{Time} \\[/tex]
[tex]P = \frac{1764}{40} \\\\P = 44.1HP[/tex]
Therefore, power of Joshua williams is 44.1HP
Define project torque
Answer:
ExplanProject Torque was the free North American version of Level-R. It is a multiplayer online racing game (MMORG) with partially chargeable content, or micro-transactions. It features gameplay elements such as tuning and customization. The game is titled as Level R in Europe with a slightly different game interface and menus. Europe, US, Russia, Indonesia, Thailand, China, and Japan versions, are developed by Invictus Games and are subject to Invictus copyrightation:
Final answer:
Torque is the rotational equivalent of a force and is a measure of the effectiveness of a force in changing or accelerating rotation. It can be calculated using the equation t = rF sin θ. Torque is perpendicular to the plane formed by r and F and has the same direction as the angular momentum it produces.
Explanation:
Torque is the rotational equivalent of a force. It is a measure of the effectiveness of a force in changing or accelerating a rotation. Torque can be calculated using the equation t = rF sin θ, where t is the magnitude of torque, r is the distance from the axis of rotation to the point where the force is applied, F is the magnitude of the force, and θ is the angle between the force vector and the lever arm. Torque is perpendicular to the plane formed by r and F and has the same direction as the angular momentum it produces.
A 0.311 kg tennis racket moving
30.3 m/s east makes an elastic
collision with a 0.0570 kg ball
moving 19.2 m/s east. Find the
velocity of the tennis racket after
the collision.
The velocity of the tennis racket after collision is 26.862 m/s.
Explanation:
If the tennis racket and ball is collided in elastic collision then the sum of momentum before collision will be equal to the sum of momentum after collision. This is in accordance to the law of conservation of energy. So if we consider the mass of tennis racket as m1 = 0.311 kg and the velocity of tennis racket before collision as u1 = 30.3 m/s. Then the mass of the ball is considered as m2 = 0.0570 kg and the velocity of the ball before collision as u2 = 19.2 m/s.
So as per the conservation of energy, the velocity of tennis racket and ball after collision will be denoted as v1 and v2 respectively. The formulas for determining these velocities are
[tex]v_{1} = \frac{m_{1}- m_{2} }{m_{1} + m_{2} } u_{1}+ \frac{ 2*m_{2} }{m_{1} + m_{2} } u_{2}[/tex]
[tex]v_{2} = \frac{2*m_{1} }{m_{1} + m_{2} } u_{1}+ \frac{ m_{2}- m_{1} }{m_{1} + m_{2} } u_{2}[/tex]
Since, we require to determine only the velocity of tennis racket after collision, so solving the v1 equation is enough with the parameters m1 = 0.311 kg , m2 = 0.0570 kg, u1 = 30.3 m/s and u2 = 19.2 m/s given
[tex]v_{1} = \frac{0.311- 0.0570 }{0.311 + 0.0570 } * 30.3+ \frac{ 2*0.0570 }{0.311 + 0.0570 }*19.2[/tex]
[tex]v_{1} = \frac{0.254 }{0.368} * 30.3+ \frac{ 0.114 }{0.368}*19.2[/tex]
[tex]v_{1} =20.914+5.948=26.862 m/s[/tex]
So, the velocity of the tennis racket after collision is 26.862 m/s.
Answer:
The velocity of the tennis racket after the collision 14.966 m/s.
Explanation:
Step-by-step explanation:
An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.
let the following:
m₁ = mass of tennis racket = 0.311 kg
m₂ = mass of the ball = 0.057 kg
u₁ = velocity of tennis racket before collision = 30.3 m/s
u₂ = velocity of the ball before collision = -19.2 m/s
v₁ = velocity of tennis racket after collision
v₂ = velocity of the ball after collision
Right (+) , Left (-)
v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)
= ( 30.3 * (0.311 - 0.057) - 19.2 * 2 * 0.057 ) / ( 0.311 + 0.057)
= 14.966 m/s.
So, the velocity of the tennis racket after the collision 14.966 m/s
If an ocean wave has a frequency of 2 waves/s and a speed of
4 m/s, what is its wavelength?
Enter the answer
Answer:2m
Explanation:
Wavelength=velocity/frequency
Wavelength=4/2=2m
7. A rightward force is applied to a book in order to move it across a desk at
constant velocity. Consider frictional forces. Neglect air resistance. Diagram the
forces acting on the book.
Answer:
See the explanation below
Explanation:
In the attached image we can see the free body diagram and forces acting on the book.
Force F, which acts to the right, the friction force which acts in the opposite direction to the movement, i.e. to the left.
The force exerted by the weight of the book that is equal to the product of the mass of the book by the gravity of the book. The normal force that is equal in magnitude to the weight of the book but in the opposite direction.
The forces acting on the book on the horizontal are the moving force (force that causes pull or push on the body)
The frictional force Ff is also acting on the body. This is the force acting opposite the moving force "F"
Along the vertical component, the forces acting along with the component are the weight of the object and the reaction force acting opposite the weight.
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What is cell in electricity?
Answer:
An electrical cell is a device used to generate electricity, or to make chemical reactions by applying electricity.
plz help!!! A man drives south for 362 s at 45.8 m/s. How far does he get?
To find out how far the man drives, multiply his speed (45.8 m/s) by the time (362 s) to get a distance of 16,579.6 meters, or 16.5796 kilometers to the south.
Explanation:Calculating Distance TraveledTo calculate how far the man gets when driving south at 45.8 m/s for 362 seconds, you use the formula for distance:
Distance = Speed × Time
In this case, the speed is 45.8 meters per second (m/s), and the time is 362 seconds. Thus, the distance traveled is:
Distance = 45.8 m/s × 362 s
After calculating this, you'll find that the man covers a distance of:
16,579.6 meters, which can be converted to kilometers (km) by dividing by 1000:
16.5796 kilometers (km)
This is the total distance traveled by the man to the south.
Final answer:
To determine how far the man drives, multiply his speed by the time traveled. Driving at 45.8 m/s for 362 seconds, he would travel 16565.6 meters, which is 16.566 kilometers south.
Explanation:
The question requires the calculation of distance traveled based on the given speed and time duration. To find the distance, one must use the formula for constant velocity, which is distance = speed × time. Since the man drives south for 362 seconds at 45.8 m/s, the calculation will be as follows:
Distance = Speed × Time
Distance = 45.8 m/s × 362 s
Distance = 16565.6 m
To convert meters to kilometers, divide by 1000:
Distance = 16565.6 m / 1000
Distance = 16.566 km
Therefore, the man gets 16.566 kilometers south.
Interest groups representing businesses and investors are often among the most successful lobbying groups in foreign policy. Why would this
be considered a problem?
A. These groups often have interests that are similar to the public interest and they are accountable to the public through voting.
B. These groups' members contribute heavily to many legislators' campaigns and in so doing gain greater access to legislators.
C. These groups work together, promoting a coherent foreign policy agenda.
D. The members of these groups make up the majority of voters in many districts.
The members of these groups make up the majority of voters in many districts thus this be considered a problem.
Option: D
Explanation:
Interest groups play a key role in US politics. Such organizations are made up of wealthy and powerful members who often seek to impose some form of leverage in politicians to promote their goals and agendas. Across the years via many campaigns, they have understood how to speak and manipulate elected leaders and apply leverage to get the kind of legislation that is in their favor. Here the majority of voters in several districts are standing due to group members, as we recognize the interest group belongs to a body in which it uses different methods of lobbying to influence others.
A cylindrical conductor of length ‘l’ and area of cross section ‘A’ has a resistance ‘R’. Another conductor of length 2.5l and resistance 0.5R of the same material has area of cross section ?
R = (ρ x l)/A [Resistance = resisitivity times length divided by area of cross-section]
0.5R = (ρ x 2.5l)/A'
0.5R/2.5 = (ρ x l)/A'
R/5 = (ρ x l)/A'
R = 5(ρ x l)/A'
(ρ x l)/A = 5(ρ x l)/A'
A' = 1/5 A
A' = 0.2 A
Answer: A₂ = 5A
Explanation:
L1 = L
A1 = A
R1 = R
R2 = 0.5R
L₂ = 2.5L
A2 =?
from resistance formula,
R = ρL / A
but since they are of the same material,
ρ₁ = ρ₂ = ρ
R₁ = ρL₁ / A₂ .....equation i
R₂ = ρL₂ / A₂......equation ii
dividing equation ii by i,
R₂ / R₁ = (L₂ / A₂) / (L₁ / A₁)....... [ρ cancles out]
R₂ / R₁ = (L₂ * A₁) / (A₂ * L₁)
0.5R / R = (2.5L * A) / (A₂*L)
0.5 = 2.5A / A₂
A₂ = 2.5A / 0.5
A₂ = 5A
The specific heat of water is 4.2 J/g • °C. How much heat is required to raise the temperature of 100 g of water by 5°C? *
Answer:
2100 J
Explanation:
The heat required to increase the temperature of a substance is given by
[tex]Q=mC\Delta T[/tex]
where
m is the mass of the substance
C is its specific heat capacity
[tex]\Delta T[/tex] is its change in temperature
For the water in this problem, we have:
m = 100 g is its mass
C = 4.2 J/g • °C is the specific heat capacity
[tex]\Delta T=5^{\circ}C[/tex] is the increase in temperature
So, the amount of heat needed is:
[tex]Q=(100)(4.2)(5)=2100 J[/tex]
A 13,500 kg railroad freight car travels on a level track at a speed of 4.5 m/s. It collided and coupled with a 25,000 kg second car, initially at rest and with brakes released. What is the speed of the two cars after collision
Answer: 1.6m/s
Explanation:
M1 = 13500kg
U1 = 4.5m/s
M2 = 25000kg
U2 = 0m/s (since the body is at rest)
V = ? (Common velocity or velocity after impact)
M1U1 + M2U2 = (M1 + M2)V
But U2 = 0
M1U1 = (M1 + M2)V
13500 * 4.5 = (13500 + 25000)v
60750 = 38500v
V = 60750 / 38500 = 1.5779 = 1.6m/s
Final answer:
The speed of the two coupled cars after the collision is calculated using the principle of conservation of momentum, resulting in a final speed of 1.578 m/s.
Explanation:
To find the speed of the two cars after they have collided and coupled together, we can use the principle of conservation of momentum. The total momentum before the collision must be equal to the total momentum after the collision, assuming no external forces are acting on the system.
Let's denote the mass of the first car as m1 = 13,500 kg and its initial speed as v1 = 4.5 m/s. The mass of the second car is m2 = 25,000 kg, and its initial speed v2 = 0 m/s since it is initially at rest. We are looking for the final velocity of the two cars combined (v').
The formula for conservation of momentum is given by:
m1*v1 + m2*v2 = (m1 + m2)*v'
Substituting the given values:
13,500 kg * 4.5 m/s + 25,000 kg * 0 m/s = (13,500 kg + 25,000 kg) * v'
This simplifies to:
60,750 = 38,500 * v'
Therefore, v' = 60,750 / 38,500 = 1.578 m/s
The speed of the two cars after the collision and coupling together is 1.578 m/s.
An object with charge 4.3x10-5 C pushes another object 0.31 micrometers away with a force of 7 N. What is the total charge of the second object?
Answer:
Charge on the other particle is given as
[tex]q_2 = 1.74 \times 10^{-18} C[/tex]
Explanation:
As we know that the force between two charges is given as
[tex]F = \frac{kq_1q_2}{r^2}[/tex]
here we know that
[tex]F = 7 N[/tex]
[tex]r = 0.31 \mu m[/tex]
[tex]q_1 = 4.3 \times 10^{-5} C[/tex]
now we have
[tex]7 = \frac{9 \times 10^9 (4.3 \times 10^{-5}q_2}{(0.31\times 10^{-6})^2}[/tex]
now we have
[tex]q_2 = 1.74 \times 10^{-18} C[/tex]
The total charge of the second object is 0.00028337 C.
Explanation:In order to find the total charge of the second object, we need to use Coulomb's law. Coulomb's law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
We can use the formula F = k * (q1 * q2) / r², where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the objects, and r is the distance between them.
In this case, we can rearrange the formula to solve for q2, the charge of the second object. q2 = (F * r²) / (k * q1)
Plugging in the given values, q2 = (7 N * (0.31 x 10⁻⁶ m)²) / (9 x 10^9 N m²/C² * 4.3 x 10⁻⁵ C) = 0.00028337 C
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