Let v = (2, 3, 1), w = (1, 1, 1), and 3u 2v 4w = (1, 2, 3). find (a) the vector u (b) the linear combination: 2u 3v 5w.

Answer:

15

Explanation:

speed = distance/time

distance = 60 meters

time = 4 seconds

speed = 60/4= 15 ms-¹

Speed:-

When 1.9v is applied to the capacitor with 6.5 n F capacitance, the charge in microcoulombs stored on it is 12.35 µC. The formula for finding the charge stored on a capacitor is: Q = CV

Where, Q = charge stored on the capacitor C = capacitance, V = voltage applied to the capacitor

Explanation:

Substitute the given values in the formula, Q = (6.5 n-F) × (1.9 V)Q = 12.35 n C. The charge is in nano-coulombs. We can convert it into microcoulombs by dividing it by 1000, i.e., Q = 12.35 ÷ 1000Q = 0.01235 µC
To find the charge stored on a 6.5 nF capacitor when a 1.9V voltage is applied, you can use the formula:

Charge (Q) = Capacitance (C) × Voltage (V)

Step 1: Convert the capacitance from nano-farads to microfarads:
6.5 nF = 0.0065 μF

Step 2: Multiply the capacitance by the voltage:
Q = 0.0065 μF × 1.9V

Step 3: Calculate the charge:
Q = 0.01235 μC

Therefore, the charge stored on the 6.5 n-F capacitor when a 1.9V voltage is applied is 0.01235 microcoulombs.

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Answer:

what is the number

Explanation:

Radium generates high radiation levels, while polyethylene resists activation.

When a geiger counter is brought near a sample of radium, it will detect relatively high levels of radiation. Radium is a highly radioactive element, emitting alpha, beta, and gamma radiation.

The geiger counter measures these emissions and provides a reading indicating the intensity of radiation.

The amount of radiation required to activate a polyethylene container, turning it radioactive, is dependent on various factors, such as the thickness and composition of the container.

However, polyethylene is generally considered a poor candidate for activation through radiation exposure, as it is relatively resistant to becoming radioactive.

During a transcontinental flight, an airplane passenger is exposed to cosmic radiation, primarily in the form of high-energy cosmic rays. The exact amount of exposure varies based on factors like altitude, flight duration, and the flight path taken.

However, the level of radiation exposure during a typical transcontinental flight is generally considered low and poses no significant health risks.

The total amount of radiation a spacecraft computer chip can withstand before failing due to radiation damage depends on the chip's design and the radiation-hardening techniques employed.

Specialized chips used in spacecraft are typically designed to withstand higher levels of radiation than commercial chips. They can tolerate radiation doses ranging from several thousand to millions of grays, depending on the specific chip and its protective measures.

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To determine if an element is paramagnetic or diamagnetic, one can perform a magnetic susceptibility test.

Paramagnetic and diamagnetic elements refer to the magnetic properties of elements and molecules. Paramagnetic materials are attracted to a magnetic field, while diamagnetic materials are repelled by a magnetic field.

Paramagnetic substances have a positive magnetic susceptibility, meaning they are attracted to a magnetic field and experience an increase in magnetic polarization. Diamagnetic substances have a negative magnetic susceptibility, meaning they are repelled by a magnetic field and experience a decrease in magnetic polarization.

Another way to determine the magnetic properties of an element is to observe its behavior in a magnetic field. If an element experiences attraction to a magnetic field, it is paramagnetic, and if it experiences repulsion, it is diamagnetic.

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(a) The energy of each photon of the wavelength 670.8 nm is approximately 2.93 × 10⁻¹⁹ Joules.

(b) The energy of 1 mole of these photons is approximately 1.76 × 10⁵ Joules.

(a) To calculate the energy of each photon of the given wavelength, we can use the formula:

Energy = (Planck's constant × speed of light) / wavelength

First, we need to convert the wavelength from nanometers (nm) to meters (m):

670.8 nm = 670.8 × 10⁻⁹ m

Now we can substitute the values into the formula:

Energy = (6.626 × 10⁻³⁴ J·s × 3.0 × 10⁸ m/s) / (670.8 × 10⁻⁹ m)

      ≈ 2.93 × 10⁻¹⁹ J

Therefore, the energy of each photon of the wavelength 670.8 nm is approximately 2.93 × 10⁻¹⁹ Joules.

(b) To calculate the energy of 1 mole of these photons, we can use Avogadro's number (6.022 × 10²³) to convert the number of photons to moles:

Energy of 1 mole = Energy of each photon × Avogadro's number

Energy of 1 mole = (2.93 × 10⁻¹⁹ J) × (6.022 × 10²³)

               ≈ 1.76 × 10⁵ J

Therefore, the energy of 1 mole of these photons is approximately 1.76 × 10⁵ Joules.

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Answer:

C

Explanation:

because the concave mirror is always inverted

d )  when object is between focus and mirror , image formed is always virtual and erect

A concave mirror has a reflective surface that is curved inward and away from the light source .

a) Incorrect because image can be equal to , smaller then , and bigger then the object

b) and c)  Incorrect when object is between focus and mirror , image formed is virtual and erect

d ) Correct option  when object is between focus and mirror , image formed is always virtual and erect

e) Incorrect except one case in all other cases nature is real and inverted

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Using this data the quantity which is trying to find is average speed thus option C is correct.

Average speed is defined as the total distance traveled in total time taken it means that we can calculate the average speed obtained by an object.

Average Speed = Total distance travelled/Total time taken

It's S.I unit is m/s

Using this data the quantity which is trying to find is average speed thus option c is correct.

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Answer:

The gravitational force between two objects of mass 25 kg and 20 kg separated by a distance of 5 m is \(1.334 * 10^-9\)

Explanation:

Given

Mass of the body (MA)= 25kg

Mass of the other body (MB)= 20kg

Distance of separation between them (R)= 5m

We know that

The gravitational force between two masses

\(F= (G*MA*MB)/R^2\)  N

where

\(G=6.67 * 10^-11 m^3 kg^-1 s^-2\)

Putting all the values in the above formula,

\(F=(6.67*10^-11 *25*20)/5*5\) N

\(F=1.33*10^-9 N\)

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Answer:

Explanation:

The oly way we can figure this out is if the boy is pulling the sled at a constant velocity. If not, we need a value for acceleration, and you don't have that here. If the boy is pulling the sled at a constant velocity, then the value for acceleration is 0, making this a really simple problem. I'm going with that, since there is no way to answer you otherwise. If velocity is not constant, please either repost the question or put it in the notes section under the question as it stands. If acceleration is 0, then

F - f = ma becomes

F - f = m(0) which is

F - f = 0 and

F = f which says that the applied force is the same as the frictional force. We need then to find the frictional force, which has an equation of

f = μ\(F_n\) where normal force is the same as the weight of the 2 girls. We will find that, then:

Each girl's mass is different so the normal force/weight equation is

w = (30.0)(9.8) + (40.0)(9.8) to get

w = 290 + 390 and

w = 680. Plug that into the frictional force equation:

f = (.120)(680) so

f = 82N

Answer:

K = 5706.6 J

Explanation:

Given that,

The mass of a bullet, m = 50 g = 0.05 kg

The velocity of the bullet, v = 720 km/hr = 477.77 m/s

We need to find the kinetic energy of the bullet​. The kinetic energy of an object is due to its motion. It can be given by the formula as follows :

\(K=\dfrac{1}{2}mv^2\\\\=\dfrac{1}{2}\times 0.05\times 477.77 ^2\\\\K=5706.6\ J\)

So, the required kinetic energy of the bullet is equal to 5706.6 J.

Kitchen lighting is permitted to be supplied by the two 20-ampere small-appliance circuits required for the kitchen and dining room area according to the National Electric Code (NEC) 210.11.

These circuits are designed to provide power for small appliance, such as toasters, blenders, and coffee makers, and can also be used to supply power to the kitchen lighting. However, it's important to note that the total load on these circuits should not exceed the maximum amperage rating of 20 amps. This means that the combined load of all the appliances and lighting fixtures connected to these circuits should not exceed 20 amps. In addition to using the small-appliance circuits, it's also common to use separate dedicated circuits for specific electrical loads, such as for the refrigerator or for a kitchen island lighting. It's important to consult a licensed electrician for proper installation and to ensure that the electrical system is safe and meets all relevant codes and regulations.

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Answer:

a=40Km/hr^2

Explanation:

The work done by the three students is 3,000 J.

The energy transferred in the process is 3,000 J.

W = Fd

The work done by the three students is calculated as follows;

W = 300 x 10

W = 3,000 J

The energy transferred in the process is determined by work energy theorem.

E = W

E = 3,000 J

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Answer:

J = 500 kg-m/s

Explanation:

Given that,

Initial speed of the motor, u = 5 m/s

Final speed of the motor, v = 7 m/s

Mass of the boat, m = 250 kg

We need to find the impulse applied by the motor. We know that impulse is equal to the change in momentum. It is represented by letter J.

J = m(v-u)

J = 250 (7-5)

J = 500 kg-m/s

Hence, the impulse applied by the motor is 500 kg-m/s.

Answer:

Light waves- electromagnetic waves

water waves- combination of both longitudinal and transverse motions

sound waves- mechanical waves

They all oscillations that carry energy from one place to another.

Explanation:

hi

Similarities between light waves , water waves and sound waves:

Differences between light waves, water waves, and sound waves:

The medium may be a solid, a liquid, or a gas, and the speed of the wave depends on the material properties of the medium through which it is traveling.

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The block rests at a distance of 0.075 m from the top of the incline in equilibrium. The period of oscillations of the block when it is displaced slightly down the incline is 0.77 seconds.

To find how far from the top of the incline the block rests in equilibrium, we need to balance the weight of the block with the force from the spring. At equilibrium, the spring force must be equal and opposite to the weight of the block.

The weight of the block is given as 14 N, which we can resolve into its components parallel and perpendicular to the incline.

Weight perpendicular to the incline = 14 N * cos(40°) = 10.7 N

Weight parallel to the incline = 14 N * sin(40°) = 8.98 N

The force from the spring is given by Hooke's law:

F = -kx

where F is the force from the spring, k is the spring constant, and x is the displacement from the equilibrium position.

At equilibrium, the displacement from the unstretched length of the spring is zero, so the force from the spring is also zero.

Equating the weight parallel to the incline with the force from the spring, we get:

8.98 N = -kx

Substituting the given values for k and solving for x, we get:

x = -8.98 N / (-120 N/m) = 0.075 m

To find the period of oscillations of the block when it is displaced slightly down the incline, we can use the formula for the period of a mass-spring system:

T = 2π * sqrt(m/k)

where T is the period of oscillations, m is the mass of the block, and k is the spring constant.

To find the mass of the block, we can use its weight:

Weight = m * g

where g is the acceleration due to gravity.

Solving for m, we get:

m = Weight / g = 14 N / 9.81 m/s^2 = 1.43 kg

Substituting the given values for m and k, we get:

T = 2π * sqrt(1.43 kg / 120 N/m) = 0.77 s

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The binding energy of the nitrogen nucleus 14^7N is 1.281 MeV.

The binding energy of a nucleus can be calculated using the Einstein's mass-energy equivalence equation, E = m. c ^2, where E is the energy, m is the mass defect, and c is the speed of light.

where:

   E is the binding energy in joules

   m is the mass of the nucleus in kilograms

   c is the speed of light in meters per second

The mass of a nucleus is always less than the sum of the masses of its constituent parts. This is because some of the mass is converted into energy when the nucleus is formed. The binding energy of a nucleus is a measure of how much energy is required to break the nucleus apart.

The mass of the nitrogen nucleus 14^7N is 14.00307 amu. The mass of a proton is 1.00783 amu and the mass of a neutron is 1.0087 amu. There are 7 protons and 7 neutrons in a nitrogen nucleus, so the total mass of the constituent parts is 7 * 1.00783 amu + 7 * 1.0087 amu = 14.07261 amu. The difference between the mass of the nucleus and the mass of its constituent parts is the binding energy. The binding energy of the nitrogen nucleus 14^7N is therefore 14.07261 amu - 14.00307 amu = 0.06954 amu.

The binding energy of the nitrogen nucleus 14^7N in joules is calculated by multiplying the mass of the nucleus in amu by the speed of light squared in meters per second and then converting the result to joules using the conversion factor 1 eV = 1.602 × 10^-19 J. The binding energy of the nitrogen nucleus 14^7N in joules is therefore 0.06954 amu * (3.0 × 10^8 m/s)^2 * (1.602 × 10^-19 J/eV) = 1.281 MeV.

Therefore, the binding energy of the nitrogen nucleus 14^7N is 1.281 MeV.

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According to the Two Column Model of Air Pressure, the column of air becomes narrower when the air inside the column cools.

In the Two Column Model of Air Pressure, the atmosphere is represented by two vertical columns of air, one on either side of the equator. The column of air is influenced by temperature changes, among other factors. When the air inside the column cools, it becomes denser and contracts. This contraction causes the column of air to become narrower.

To understand this concept, let's consider an example. Imagine a column of air in the atmosphere that extends from the Earth's surface to the top of the atmosphere. If the air inside this column cools, let's say due to a cold front moving in, the molecules in the air slow down and come closer together. As a result, the column of air becomes narrower.

In conclusion, according to the Two Column Model of Air Pressure, the column of air becomes narrower when the air inside the column cools. This is because cooling causes the air to contract and the molecules to come closer together.

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The spectral lines would appear shifted towards the red end of the spectrum.

Spectral lines :

When the light of a star is separated into its various colors, it is known as a spectrum.

Each element produces a characteristic set of lines at specific wavelengths, known as its spectral lines, when it is heated to a high temperature.

If a substance's spectrum is split into a band of light, the band will contain dark lines at particular wavelengths, referred to as spectral lines.

Spectral lines can be used to determine the composition, temperature, and motion of stars.

When the same two elements were detected in a distant star that was moving away from Earth, the spectral lines would appear to be shifted toward the red end of the spectrum.

This phenomenon is known as redshift.

Redshift is a phenomenon in which the wavelength of light emitted by an object moving away from an observer is stretched, resulting in a shift towards the red end of the spectrum.

It happens because the object's motion is causing the wavelength of the light waves to become longer as they travel through space.

It is due to the Doppler effect, which results in a shift in the wavelength of the light that is emitted or absorbed by a celestial object.

The Doppler effect is the change in frequency or wavelength of a wave in relation to an observer's motion.

When an object is moving closer to an observer, it appears to have a higher pitch or shorter wavelength.

When the object is moving away from the observer, it appears to have a lower pitch or longer wavelength.

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Answer:

a. Earth's revolution about both the Moon and the Sun.

b. The Moon.

Answer:

infrared light have longe rwave length

The three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

EM waves are another name for electromagnetic waves. Electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.

Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields. Maxwell's equations are solutions to electromagnetic waves.

Of all electromagnetic waves, radio waves have the longest wavelength.

Hence the three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

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If the applied voltage is polarised in the opposite direction (negative on red and positive on black), the metre will display "backwards."

Some devices may be electrically charged at all times if an outlet has reverse polarity. Electricity will flow to the switch in a properly connected outlet; with reversed polarity, it will be present in the item even when it is not switched on.Reverse polarity protection is an internal circuit that ensures the device is not destroyed if the polarity of the power source is reversed. The reverse polarity protection circuit disables power to the transmitter or transducer's sensitive electronic circuitry.If you reside in a house that has had amateur electrical work done, there's a strong chance you have some outlets with reversed polarity. That essentially means that some of your channels may surprise you. Uh oh! While not all shocks are lethal, they are all painful and unpleasant. Only a qualified electrical contractor in North Scottsdale, AZ can perform electrical repairs in your home.

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The distance from point A to the point at which the patrolman overtakes the car is 2700 meters.

The distance from point A to the point at which the motorcycle patrolman overtakes the car is 2700 meters. Here's a step-by-step breakdown of the calculations:

Step 1:

Distance covered by the car in 2 seconds:

Distance = Speed * Time

Speed = 120 km/hr = (120/3600) m/s = (1/30) m/s

Time = 2 seconds

Distance = (1/30) m/s * 2 s = 2/30 km = (2/30) * 1000 m = 66.67 m

Step 2:

Calculating the time taken by the motorcycle patrolman to reach a speed of 150 km/h:

Using the equation v = u + at

Initial velocity (u) = 0 m/s

Final velocity (v) = 150 km/h = (150000/3600) m/s = (125/3) m/s

Acceleration (a) = 6 m/s^2

(125/3) m/s = 0 m/s + 6 m/s^2 * t

Solving for t:

t = (125/3) / 6 sec = (125/3) * (1/6) sec = 125/18 sec

Step 3:

Calculating the distance covered by the motorcycle patrolman in the first (125/18) seconds:

Using the equation s = ut + (1/2)at^2

Initial velocity (u) = 0 m/s

Acceleration (a) = 6 m/s^2

Time (t) = 125/18 sec

s = 0 * (125/18) + (1/2) * 6 * ((125/18)^2) = 1562.5/9 m

Step 4:

Calculating the time taken by the motorcycle patrolman to overtake the car:

Let the time taken be t sec

Speed of the car = 120 km/hr = (100/3) m/s

Distance covered by the car in time t = (100/3) m/s * t

Distance covered by the motorcycle patrolman in time t = Distance covered by the car in time t + Distance covered by the motorcycle patrolman in the first (125/18) sec

Time taken = (Distance to be covered) / (Speed of the motorcycle patrolman)

= (Distance covered by the motorcycle patrolman in time t - Distance covered by the motorcycle patrolman in the first (125/18) sec) / [(150000/3600) m/s]

= [(100/3) * t + 1562.5/9 - 1562.5/9] / [(150000/3600)] sec

= [(100/3) * t] / [(150000/3600)] sec

= (1/45) * t sec

The two times should be equal, so we can set up the equation:

(100/3) * t + 1562.5/9 = (1/45) * t

Solving for t:

(3200/45) * t + 1562.5/9 = t

[(3200/45) - (1/45)] * t = 1562.5/9

t = (1562.5 * 45) / (9 * 3199) sec

Step 5:

Distance from point A to the point at which the motorcycle patrolman overtakes the car:

Distance = Distance covered by the motorcycle patrolman in the first (125/18) sec + Distance covered by the motorcycle patrolman in time t

Distance = 1562.5

/9 + [(100/3) * t + 1562.5/9 - 1562.5/9] m

= 1562.5/9 + (100/3) * (1562.5 * 45) / (9 * 3199) m

= 1562.5/9 + 10425/3199 m

= [(1562.5 * 3199) + 10425] / 28791 m

= 2700 m

Therefore, the distance from point A to the point at which the motorcycle patrolman overtakes the car is 2700 meters.

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Answer:

quintal and metric tone.

Explanation:

1 quintal= 100kg

1 metric =1000kg

quintal measures mass of cars, trucks etc, but metric measures bigger things like cargo ships

hope it helps

Answer:

Inertia is the tendency of all objects to resist any change in motion. Inertia causes a moving object to stay in motion at the same velocity (speed and direction) unless a force acts on it to change its speed or direction. It also causes an object at rest to stay at rest.