Answers
Answer:
Explanation:
V₁ = <20, -15, 15>, V = <0, 0, 20>
V₂ = V - 2V₁ = <0, 0, 20> - <40, -30, 30> = <-40, 30, -10> = -40i + 30j - 10k
magnitude = [tex]\sqrt{40^2+30^2+10^2}}=51[/tex]
Related Questions
An odometer changes its reading from 700 km to 860 km when the car is moving at a speed of 80 km/hr. How much time did the car take in minutes to change the reading
pls give answer fast, first answer gets brainliest
Answers
Answer:
2 hour
Explanation:
car will cover 80km in 1 hr
odometer's reading increases 160 km
so 80km = 1hr
then, 160km =1/80×160
=2 hr
Answer:
120 mins
Explanation:
delta X = 860 - 700 V = 80km/hour
t= delta x/ v= (860-700)/80= 2hours
2 hours = 120 mins
why is that the hunter can not aim at the fish he can see
Answers
Answer: Because the hunter will try to aim at the fish, but the image of fish he sees is actually the apparent image of the fish at a location.
Heres an image to help
Hope this helps!
Answer question in two or more sentences thanks
Answers
Answer:
35 degrees Fahrenheit is 1.66667 degrees in Celcius. Written in Kelvin, 35 degrees Fahrenheit would be 274.817 K.
Celcius:
(35°F − 32) × 5/9 = 1.667°C
Kelvin:
(35.001°F − 32) × 5/9 + 273.15 = 274.817K
F to C formula:
(32°F − 32) × 5/9 = 0°C
F to K formula:
(°F − 32) × 5/9 + 273.15 = K
Below are advantages of the parallel circuit, except one. Which is it?
A.
Two or more pathways allow electric current to pass through
B.
Parallel circuit requires many wiring connections.
C.
Individual devices can be controlled
D.
When a bulb burns out, other bulbs continue to glow
Answers
Answer:
B
Explanation:
parallel circuits required m
A particle with a charge of 5nC has a distance of 0.5m away from a charge of 9.5nC. What is its electric potential energy?
Answers
Answer: 5F / 16
Solution: The initial force between the two charges separated by a distance d is F = 2kQ2 / d2 .
After touching, the charges become Q/2 and 5Q/4 and the force is 5kQ2 / 8d 2 = 5F / 16 .
2. A particle with charge 2 μC is placed at the origin. Another particle, with charge 4 μC, is placed 2 m from the origin on the x-axis, and a third particle, with charge 2 μC, is placed 2 m from the origin on the y-axis. The magnitude of the force on the particle at the origin is:
Answer: 2.0 × 10−2 N
Solution: The force due to the first particle is kq q / d 2 = 0.0180 N in the x direction and the
force from the second particle is kq q / d 2 = 0.0090 in the y direction. The magnitude of the net 13 13
force is then 0.0182 + 0.0092 = 0.020 N.
3. A particle with positive charge Q is on the y-axis a distance 2a from the origin, and a particle with positive charge q is on the x-axis a distance d from the origin. The value of d for which the x component of the force on the second particle is the greatest is:
12 12
Prof. Paul Avery Prof. Zongan Qiu Oct. 1, 2014
Answer: 2a
Solution: The x component of the force is kQqcosθ / 4a + d , where cosθ = d / 4a + d .
Thus we want to maximize the quantity kQqd / 4a + d . Setting the first derivative to 0
The electric potential energy of the given charged particle is 8.55 x 10⁻⁷ J.
Electric potential energy
The electric potential energy of the given charged particle is calculated as follows;
E = Fd
where;
F is the force between the chargesd is the distance between the charges[tex]E = \frac{kq_1q_2}{r^2} \times r\\\\E = \frac{kq_1q_2}{r}[/tex]
Substitute the given parameter and solve for electric energy
[tex]E = \frac{(9\times 10^9) \times (5 \times 10^{-9}) \times (9.5 \times 10^{-9})}{0.5} \\\\\E = 8.55 \times 10^{-7} \ J\\\\[/tex]
Thus, the electric potential energy of the given charged particle is 8.55 x 10⁻⁷ J.
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An astronaut has a mass of 85 kg. The acceleration due to gravity at the surface of Earth is 9.8 m/s^2. The acceleration due to gravity at the surface of Earth's moon is 1.6 m/s^2. Calculate his weight on the Earth’s moon.
Answers
Answer: 136 Newtons (136N)
Explanation:
Newton's Law of Gravitation states that the gravitational force is proportional to the masses of the two objects, and their separation distance between them. The proportionality constant is called Newtons constant denoted as capital 'G':
[tex]F=GMm/r^2[/tex]
Now, due to Newton's 2nd Law of motion, we know that a net force acting on an object causes an acceleration. We can also say that the force is:
[tex]F=ma[/tex]
Setting both of these equations equal to each other, we get:
[tex]ma=GMm/r^2[/tex]
The smaller 'm' will cancel giving that the acceleration is:
[tex]a=GM/r^2[/tex]
This is the equation which gives the gravitational field created from a source mass 'M'. To find the weight, find the product between the test mass and the gravitational field created by the source mass:
[tex]Weight=mass*acceleration[/tex]
[tex]W=ma[/tex]
[tex]W=(85kg)(1.6m/s^2)[/tex]
[tex]W=136N[/tex]
The units are Newtons due to weight being a force.
calculate the velocity of radio wace of wavelenth 150nm with velocity 3 x 10^8
Answers
hi im a little stuck on this question that came from my textbook in class it got a little confusing for me because i really dont know how to taxle this problem especially because of the fact that the problem is talking about pushing and not tension.
it writes
"A 1,480-N crate is being pushed across a level floor at a constant speed by a force F of 370 N at an angle of 20.0 degrees below the horizontal, as shown in the figure a below. The floor has some amount of friction. "
The questions ask me to make a "free-body diagram"
- write an equation each for the x & y components of the resultant force
-determine the normal force and lastly what exactly is the coefficient of kinetic friction between the crate and the floor
Answers
Consult the attached free body diagram.
By Newton's second law, the net force on the crate acting parallel to the surface is
∑ F[para] = (370 N) cos(-20°) - f = 0
(this is the x-component of the resultant force)
where
• (370 N) cos(-20°) = magnitude of the horizontal component of the pushing force
• f = magnitude of kinetic friction
The crate is moving at a constant speed and thus not accelerating, so the crate is in equilibrium.
Solve for f :
f = (370 N) cos(-20°) ≈ 347.686 N
The net force acting perpendicular to the surface is
∑ F[perp] = n - 1480 N - (370 N) sin(-20°) = 0
(this is the y-component of the resultant force)
where
• n = magnitude of normal force
• 1480 N = weight of the crate
• (370 N) sin(-20°) = magnitude of the vertical component of push
The crate doesn't move up or down, so it's also in equilibrium in this direction.
Solve for n :
n = 1480 N + (370 N) sin(-20°) ≈ 1606.55 N ≈ 1610 N
Then the coefficient of kinetic friction is µ such that
f = µn ⇒ µ = f/n ≈ 0.216
An unknown metal has a volume of 20.2 cm³ and a mass of 390 grams. What was the density of this metal?
Group of answer choices
11.3 g/cm³
8.9 g/cm³
7.8 g/cm³
19.3 g/cm³
Answers
[tex]\tt \rho=\dfrac{m}{V}[/tex]
ρ = density
m = mass
V = volume
input the value:
[tex]\tt \rho=\dfrac{390}{20.2}=19.3~g/cm^3[/tex]
In adolescence, friendships become less interethnic. Why might this be? Did this hold true for you in adolescence
Answers
Answer:
hi-
Explanation:
During the early teenage years, friendships become more intense, close and supportive. The amount that teenagers communicate with their friends increases. Teenage friendships tend to be based on personal similarity, acceptance and sharing. Same gender friendships are most common during the early high school years.
What do borrowers use to secure a mortgage loan? Check all that apply.
a credit card
a down payment
a house
land
a vehicle
Answers
Answer:
a house or a land is used to secure a mortgage loan
a house or a land is used to secure a mortgage loan. Hence option D is correct.
What is Loan ?A loan is the lending of money by one or more persons, organisations, or other entities to other individuals, organisations, or other entities in finance. The recipient (i.e., the borrower) incurs a debt and is often required to pay interest on that loan until it is repaid, in addition to repaying the primary amount borrowed.
The paper demonstrating the loan (for example, a promissory note) will often indicate the principal amount borrowed, the interest rate charged by the lender, and the date of repayment. A loan is the temporary reallocation of the subject asset(s) between the lender and the borrower.
The interest serves as an inducement for the lender to make the loan.
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2) Show all the necessary steps clearly and briefly to proof the SI unit of angular momentum is (Newton meter second) [2Marks]
Answers
Answer:
Key Points
When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.
The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.
If the net torque is zero, then angular momentum is constant or conserved.
Key Terms
quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.
torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)
angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.Key Points
When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.
The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.
If the net torque is zero, then angular momentum is constant or conserved.
Key Terms
quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.
torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)
angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.
Explanation:
Many of the rocks of the canyon wall appear as horizontal bands. What do the bands indicate about the way the rocks formed?
Answers
Given what we know, we can confirm that the bands indicate that the canyon was carved due to erosion caused by moving water.
What do these bands tell us about the canyon?The bands are the result of sediments being deposited as the canyon was being formed. These sediments are deposited by the running water that carves the canyon. This results in horizontal bands that can tell us much about the history of the canyon as well as the river that formed it.
Therefore, we can confirm that the bands indicate that the canyon was carved due to erosion caused by moving water.
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How many molecules of water are recycled into one molecule of glucose during photosynthesis?
A.) 6
B.) 1
C.) 12
D.) 3
I need this answer in 5 MINUTES!
Answers
=> A.) 6
Explanation:
=> 6 molecules of water are recycled into one molecule of glucose during photosynthesis.
6CO2 + 6H2O + light energy → C6H12O6 + 6O.
A loop of wire carries a conventional current of 0.5 amperes. The radius of the loop is 0.06 m. Calculate the magnitude of the magnetic field at a distance of 0.32 m along the axis of the loop, from the center of the loop.
Answers
Answer:
see below
Explanation:
:) A loop of wire carries a conventional current of 0.5 amperes. The radius of the loop is 0.06 m. Calculate the magnitude of the magnetic field at a distance of 0.32 m along the axis of the loop, from the center of the loop.
In the 3rd step of the experiment, the scientist heated sugar and water, until the sugar
was completely dissolved.
What type of mixture was created from the water and sugar solution?
Answers
Answer:
Homogenous Mixture
Explanation:
When the scientist heated sugar and water, until the sugar was completely dissolved, then the mixture is a homogeneous mixture, also known as a solution.
What is a mixture?A mixture is a combination of two or more substances that are physically combined in a way that each retains its own identity and properties. The substances that make up a mixture are called components or constituents, and they can be either elements or compounds.
Mixtures can be classified as homogeneous or heterogeneous, depending on whether the components are uniformly distributed or not.
In a homogeneous mixture, the components are evenly distributed throughout the mixture, resulting in a uniform composition and appearance.
In a heterogeneous mixture, the components are not uniformly distributed, and the mixture may contain visible boundaries or phase separations.
Mixtures can be created by mixing substances together using physical methods, such as stirring, shaking, or heating. Unlike chemical reactions, which involve the formation of new substances with different properties, mixtures can be separated back into their individual components by physical means, such as filtration, evaporation, or distillation.
Here in the question,
The mixture created from the water and sugar solution is a homogeneous mixture, also known as a solution. In a homogeneous mixture, the components are uniformly distributed throughout the mixture, resulting in a uniform composition and appearance. In this case, the sugar molecules are evenly dispersed throughout the water molecules, creating a clear and transparent solution.
Therefore, The mixture created from the water and sugar solution is a homogeneous mixture,
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23. Electricity is a force. State whether true or false.
a) true b) false
Answers
Answer :
An electric force is the attracting or repulsive interaction between any two charged things. Newton's laws of motion, like any other force, define its influence on things.
Explanation:
Your answer True : )Hope its helps you ! : )You are handed a spring that is 0.400 m long. You hang the spring from a hook on the ceiling and attach a 0.750-kg mass to the other end of the spring. The stretch spring length is 0.450 m. What is the Spring Constant?
Answers
Answer: 1.5 N/cm
Explanation: is it correct
The Spring Constant is 147 N/m.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Given parameters:
Initial length of the spring = 0.400 m.
Final length of the spring = 0.450 m.
Change in length: Δx = 0.450 m - 0.400 m = 0.050 m.
Mass of the hung object = 0.750 kg.
Weight of the hung object: w = 0.750 × 9.8 N = 7.35 N
Hence, from Hooke's law,
the Spring Constant is = Weight of the hung object / Change in length
= 7.35 N / 0.050 m
= 147 N/m.
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yoo can somebody help me with this?
explain how to do this
Answers
Answer: 27˚
Explanation:
The sum of the angles in any triangle will always be 180˚. We know that two of the angles measure 63˚ and 90˚. So we can setup a simple equation to find x:
x + 63 + 90 = 180
x = 27˚
Answer:
im not sure if this is right but i would do the 90 degrees and the 63 degrees so 90-63=27 degrees but im not sure
Explanation:
A certain resistance thermometer read 14.5 ohms in pure melting ice and 18.5 ohms in steam at standard atmospheric pressure what will be its resiatance at room temperature 27.0c
Answers
The resistance of the thermometer at room temperature is 15.04 ohms.
What is a resistance thermometer?A resistance thermometer is a type of thermometer that measures temperature through a change in resistance.
To calculate the resistance of the thermometer at room temperature, we use the formula below.
Formula:
100/27 = 2/(x-14.5)..............Eqquation 1Where:
x = Resistance of the thermometer at room temperatureMake x the subject of the equation
x = [(27×2)/100]+14.5x = (54/100)+14.5x = 0.54+14.5x = 15.04 ohms.Hence, The resistance of the thermometer at room temperature is 15.04 ohms.
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You need to make a generator for your bicycle light that will provide an alternating emf whose peak value is 4.2 V. The generator coil has 55 turns and rotates in a 0.040-Tesla magnitude magnetic field.
If the coil rotates at 400 revolutions per second, what must the area of the coil be to develop this emf?
Answers
The area of the coil must be 7.6 x 10⁻⁴ m².
Peak induced emf
The peak emf induced in a coil is determined by applying Faraday's law of electromagnetic induction as shown below;
emf(peak) = NBAω
Where;
ω is the angular frequency in rad/sA is the area of the coilN is number of turnsB is magnetic field strength[tex]\omega = 400 \ \frac{rev}{ s} \times \frac{2\pi \ rad}{1 \ rev} \ = 2,513.6 \ rad/s[/tex]
[tex]A = \frac{emf (peak)}{NB\omega} \\\\A = \frac{4.2}{55 \times 0.04 \times 2,513.6} \\\\A = 7.6 \times 10^{-4} \ m^2[/tex]
Thus, the area of the coil must be 7.6 x 10⁻⁴ m².
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what is indoor noise pollution
Answers
Answer:
Domestic gadgets like the mixer-grinders, pressure cookers, desert coolers, air- conditioners, exhaust fans, vacuum cleaners, sewing and washing machines are all indoor sources of noise pollution.
Explanation:
How much force is required to produce a turning force of 12 Nm at a distance of 0.72 meters from the pivot?
0.06 N
12.72 N
8.64 N
16.67 N
Answers
At a particular point near a second charge, a 50-µC charge experiences an attractive force of 2.0 N. What is the electric field strength at that point? Use [tex]10^{-6}[/tex] coulumb for 1µC.
Answers
The electric field strength at the point where 50 µC charge experienced an attractive force of 2.0 N is 4×10⁴ N/C
What is electric field strength?This is simply defined as the force per unit charge. Mathematically, it is expressed as:
E = F / Q
Where
E is the electric field strength F is the force Q is the charge How to determine the electric field strengthFrom the question given above, the following data were obtained:
Charge (Q) = 50 µC = 50×10¯⁶ CForce (F) = 2 NElectric field strength (E) =?E = F/Q
E = 2 / 50×10¯⁶
E = 4×10⁴ N/C
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A parallel plate capacitor has a potential difference between its plates of 1.6 V and a plate separation distance of 2.5 mm. What is the magnitude of the electric field if a material that has a dielectric constant of 3.4 is inserted between the plates
Answers
(a) The magnitude of the electric field of the material is 600 V/m.
(b) The magnitude of the electric field of the material in the presence of dielectric constant is 176.5 V/m.
Electric field of the materialThe magnitude of the electric field of the material is calculated as follows;
E = V/d
where;
E is the electric fieldV is the potential difference between the platesd is the distance of separationSubstitute the given parameter into the equation above.
E = 1.5/(2.5 x 10⁻³)
E = 600 V/m
Electric field in the presence of dielectric constantE = E₀/k
E = 600/3.4
E = 176.5 V/m
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a man is walking inside a bus which is travelling at 56.2 km/h.if the speed of the man relative to the ground is 55.8 km/h,is he walking towards the front or the back??
Answers
Answer:
rawr
Explanation:
Which energy transformation occurs when a butane lighter is lit?
Answers
When a butane lighter is lit, chemical energy transforms into heat energy.
What is law of conservation of energy?
Energy cannot be created or destroyed, says the law of conservation of energy. However, it has the ability to change its form. The total energy of an isolated system is constant when all sources of energy are taken into account.
The chemical energy is the bonds of chemical molecules contain energy. Exothermic reactions are those in which chemical energy is released during the reaction, frequently in the form of heat.
In butane energy is stored as a chemical energy as bonds of chemical molecules and when it is lit, the chemical energy of the butane transforms into heat energy.
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What is the precision (relative error) of the centripetal force divided by the mass if the velocity and the radius are each determined with a precision of 1%
Answers
The precision (relative error) of the centripetal force is 1%.
Relative errorThis is the error in measurement of a variable obtained in comparison with other variables.
F = mv²/r
where;
F is centripetal forcem is mass v is velocityr is radiusF/m = v²/r
F/m = (0.01v)²/(0.01r)
F/m = 0.01v²/r
F/m = 1%(v²/r)
Thus, the precision (relative error) of the centripetal force is 1%.
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How long must a pendulum be to have a period of 4.6 5 on Neptune, where g = 11.15 m/s?
Answers
Answer:
5.98 m
Explanation:
[tex]T=2\pi \sqrt\frac{L}{g}[/tex]
[tex]T^2=4\pi ^2L/g\\L = gT^2/(4\pi^2)[/tex] = 11.15*4.6²/(4π²) = 5.98 m
In the diagram, which letter represents the angle of incidence?
Answers
Answer:
D.
Explanation:
the required angle is ∠PRS (for more info see the attachment), then it is D.
Answer: D
Explanation: