vector a has a magnitude of 31 units and points in the positive y-direction. when vector b is added to a, the resultant vector a b points in the negative y-direction with a magnitude of 16 units. find the magnitude and direction of b.

-21.7 km²/s is the angular momentum (in km 2/s) of the earth's satellite.

What is a satellite?

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The kinetic energy will decrease by 4J.

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

first-order kinetic energy KE i\s =0.5×m×v

Final Kinetic Energy = 0.5 mV (K.E. 1/2 0.5(3355) =

2/2 KE difference = KE f-KE i

KE difference

Difference in KE = 1/4(925)

Difference in KE = -16/4 = 4J.

Consequently, kinetic energy will decrease by 4J.

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It appears that subjective qualitative measurements are insufficient indicators to determine how noise affects cognitive function.

It is highly advised to use novel indicators, such as brain signal analysis and power spectral density analysis, while evaluating cognitive function while exposed to noise. It is recommended that more research be done on the impacts of additional psychoacoustic factors, such as tone and noise pitch (treble or bass) at high exposure levels. "Attention" refers to the active cognitive selecting process. Daily tasks include physical motions, emotional reactions, and perceptual and cognitive processes all heavily depend on attention. When processing of quantitative information is constrained, the attention system regulates behavior of people based on spatial and temporal aspects.

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The velocity of a particle at time t is 4t³- 7, at time t = 3 is 101 ft/sec, and at rest is ∛7/4 sec.

The position of a particle at time t is

s(t) = t⁴ - 7t + 22, where t > 0

(A)  Velocity at time t is

V(t) = s'(t)

Or, V(t) = 4t³ - 7 × 1 + 0

Or, V(t) = 4t³- 7

Hence, the velocity at time t is 4t³- 7.

B) Velocity ar time t = 3 is

V(3) = 4(3)³- 7

Or, V(3) = 101 ft/sec

Hence, the velocity at time t = 3 is 101 ft/sec.

(C) When particle is at rest, V(t) = 0

Then, 4t³ - 7 = 0

Or, t³ = 7/4

Or, t = ∛7/4 sec

Therefore, the velocity at rest is ∛7/4 sec.

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About 22.8 millicoulombs of charge has been stored in a capacitor of capacitance 152 µf when a total voltage of 150 v is applied to this capacitor.

The capacity of a component or circuit to gather and hold energy in the form of an electrical charge is known as capacitance. Devices that store energy include capacitors, which come in a variety of sizes and forms.

When any capacitor is being linked to a battery with a specific voltage, its capacitance can be totally calculated by measuring the charge held on each plate.

The capacity of this capacitor that is calculated in order to store energy in the form of electric charge is known as the capacitance.

Here we know that we have,

C= 152 uf

V=150v

Q =?

Q= CV

= 152 x10^6 x 150

= 22800 x 10^6

= 22.8 x 10^6

= 22.8 millicoulomb

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The acceleration is maximum when the displacement of the object is maximum.

We understand that speed is most when y=zero, displacement is zero, and acceleration is zero, this means that the machine is in equilibrium. therefore, at a factor in simple harmonic motion, the maximum pace can be calculated by the usage of the formulation v=Aω. the rate may be most in easy harmonic movement, while the acceleration is zero.

The pendulum oscillating backward and forward from the suggested role is an example of easy harmonic movement. Bungee leaping is an example of simple harmonic motion. The jumper oscillates up and down in the present process SHM because of the pliancy of the bungee wire.

The maximum displacement of the bob from its implied role. OA or OB is called its amplitude. because the bob is at its lowest position on point O. Its potential power is minimal whilst its kinetic power is maximum.

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The average velocity will be 1.30 x 10⁻² m/ s.

Velocity is defined as the ratio of the distance moved by the object at a particular time. As a vector quantity, the velocity requires both the magnitude and the direction.

Given that a helicopter blade spins at exactly 80 revolutions per minute. Its tip is 4.00 meters from the rotational axis.

Use the formula to calculate the linear velocity.

V= d/t

V= velocity

d= distance

t= time

Here d will be the circumference of the blade

d= 2πr

We have:-

80 rev = 1min

1min/ 80= 60s/80

The average velocity will be calculated as below:-

Vavg= 2π( 10m ) / 80 x 60

Vavg= 0.01308 m / s

Vavg = 1.30 x 10⁻² m / s

Therefore, the average velocity will be 1.30 x 10⁻² m/ s.

The complete question is given below:-

A helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation. What will be the average speed of the helicopter blade?

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Complete Question

The fastest commercially available rifle bullet claims a muzzle velocity of 4225 ft>s.

(a) what is this speed in miles per hour

The fastest rifle bullet reportedly has a muzzle velocity of 4225 feet per second. This speed is equivalent to 2880.68274 miles per hour in miles per hour.

Given Data:

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Q(l) = 35,000 kj/h

T° = 4° c = 277k

T(H) = 298 k

given that house is to be maintained at 25° c at all times

hence internal energy is zero. du=0

now, using first law of thermodyanamics

dq= du+dw

dq= dw ( because du = 0)

hence, heat lost by house is equal to the work input for system

Q(l)= w (input)

w (input) =35,000 kj/hr

now, coefficient of performance for reversible heat pump = cop ( rev,hp)

cop ( rev,hp) = = 14.9

cop ( rev,hp) = Q(l)/w (input)

14.9 = 35,000/ (win)rev

(win)rev = 2349 kj/h ( reversible work input)

Irreversibility of process = I

I = (win) - (win)rev

I = 35000- 2349

I = 32651 KJ/hr

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The magnitude of the resultant velocity of the soccer ball is: 25.059 m/s

The formula for projectile motion that we will use to solve this exercise is:

vf= √[v(x)² + v(y)²]

Where:

Information about the problem:

Applying the final velocity formula we have:

vf= √[v(x)² + v(y)²]

vf= √[(22 m/s)² + (12 m/s)²]

vf= √[484 m²/s² + 144 m²/s²]

vf= √[628 m²/s²]

vf= 25.059 m/s

The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.

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She should add diversity to her exercise program to keep her from getting bored or lazy.

Because if you are not having fun with it anymore then you stop doing it.Your weekly exercise running mileage should drop the week before the event. Your training now mostly focuses on "saving up" rest so that your legs are prepared for the marathon.

To keep your legs fresh throughout the week, fit in two to three quick runs with a few quick pick-ups—short, snappy portions that get your legs working faster and get you ready for the faster tempo of the race. Take a day off to completely rest two days before the marathon. Do a quick exercise(20-minute) run with up to five 45-second pick-ups the day before the race to tone your legs.

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For the same percentage error in each of the three quantities, mass, diameter, and length, mass would contribute the most to the error in the density.

A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol, however Latin letter D may also be used. The formula for density is mass divided by volume:

ρ = m / v

The error's absolute value is multiplied by 100%, divided by the accepted value, and then converted to a percent.

Since, the mass is directly related to density so the mass would contribute more to the error in density out of the three quantities, mass, diameter, and length.

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The correct answer is ±(- 1/√3, 1/√3, 1/√3)

a=i+j=<1,1,0)

b=i+j=<1,0,1>

c=+<(cos α, cos , cos γ)> are the unit vectors orthogonal to a and b (moving in the opposite direction).

Scalar product c.a=cos α+cos β=0

Similarly c.b=cos α+cosγ =0

c=±<-cos α, cos α, cos α>

The directions in each octant (the 2nd OX'YZ and 8th OXY'Z') are equally inclined to the axis.

cos α=± 1/√3

Thus the answer is ±(- 1/√3, 1/√3, 1/√3)

What is unit vector?

Both magnitude and direction are present in vector units. Sometimes, though, one is simply concerned with the direction and not the magnitude. In this situation, vectors are frequently regarded as having unit length. A scalar coefficient provides the magnitude, and these unit vectors are typically employed to express direction. Unit vector and scalar coefficients can be used to sum a vector decomposition.

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Answer: Its A its the best possible answer

Explanation:

its the best possible answer

Answer:

A. water behind a dam

Explanation:

today we were learning energy then our teacher told as so am sure am ryt

The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

To find the index of refraction, the given values are:

Critical angle is 68.4°.

The refractive index can be defined as the ratio of the speed of light in the medium to the speed in the vacuum.

The formula of the refractive index is as follows:

Where,

n is the refractive index

c is the velocity of light in a vacuum ( 3 × 108 m/s)

v is the velocity of light in a substance

The refractive index of different media can be listed in the table below:

Material            Refractive Index

Air                          1.0003

Water                     1.333

Diamond                2.417

Ice                           1.31

Ethyl Alcohol         1.36

Now, finding the value of refractive index,

As the value of critical angle is given,  θ = 68.4°,

θc = Sin ⁻¹ ([tex]\frac{n2}{n1}[/tex])

Considering the given values, n2 = 1.3333

θc = θ = 68.4°

So, n1 = ( n Water) / ( sin θc)

          = 1.33333 / sin 68.4°

          = 1.43400055

Thus, n1 ca be found as,1.43400055

The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

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In general, a phenotype is an inherited trait that we can observe.

Phenotypes include things like blood type, eye colour, and hair colour. If you have brown eyes, your eyes will be brown; if you have brown hair, your hair will be brown; or if you have an A blood type phenotypic, your blood type will be A.

Only the blue allele can be passed down from the homozygous blue-eyed parent. Either the blue allele or the brown allele can be inherited from the heterozygous brown-eyed parent. Children with a blue-brown genotype, or those with both the blue and brown alleles, will have brown eyes and a brown-eyed phenotype. Similar to this, children with a blue-blue genotype—two blue alleles—will have blue eyes and a blue-eye phenotype

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1.428 s is the calculated time.

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

So here is the most straightforward formula for this:

+(1/2) *(9.81 m/s^ (2)) *t^ (2) = +10 m.

The result is that t = √ (20 m/ (9.81 m/s (2)))

=√ (2.039 s2)

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

vertical (and only) axis of a drawing must be pointed downward.

So here is the most straightforward formula for this:

+(1/2)*(9.81 m/s^(2))*t^(2) = +10 m.

The result is that t = √ (20 m/(9.81 m/s(2)))

= √(2.039 s2)

=1.428 s.

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Answer:

ffghccvvghcgjvccvb

Explanation:

gmvfjbcgijcfub cjjcv

jhggjvchivvvhj

If a boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air is 320m/s.

As we know that,

Speed = Distance / Time

Firstly we calculate the time taken by light to travel distance 6 Km.

Given,

Distance = 6Km

Speed = 3000000m/s

Time = D/ S

= 6000/ 3000000

= 0.002s

So, the time taken by light to reach the ground is 0.002s.

Now,

Time taken by sound to reach the ground = time taken by light + 18.749.

0.002 + 18.749

= 18.75

Now, t = 18.75

d = 6km

Speed = 6000/18.75

= 320m/s

Thus, we concluded that if boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air is 320m/s.

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The cross-sectional area A under consideration is parallel to the force F.

An influence that can alter an object's motion is referred to as a force in physics. An object with mass can change its velocity, or accelerate, in response to a force by moving away from rest, for example. Intuitively, pushing or pulling can be used to describe forces. As a vector quantity, a force is one that has both magnitude and direction. It is expressed as a newton in the SI system (N). F is a symbol that stands for force (formerly P). The net force exerted on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original version.

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Answer

Fission.

Explanation:

Fission occurs when a neutron slams into a larger atom, forcing it to excite and split into two smaller atoms, also known as fission products.

Hope this helps u ; )

The time to complete a movement if angular velocity is increased is Angular speed

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In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.

A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.

Here are the basics:

A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language

The uses of metaphor, and the official definition:

A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar

An object, activity, or idea that is used as a symbol of the something else

Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.

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In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.

A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.

Here are the basics:

A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language

The uses of metaphor, and the official definition:

A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar.

An object, activity, or idea that is used as a symbol of the something else

Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.

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Answer: increase

Explanation:

increase of  compression make it hot

She decides to hit the dirt in -2.64 m/s in First equation and  2.59m in second equation.

Using 1st equation of motion,

V = u + at

-3.7 = 0 + a x 1.4

Acceleration,

a = - 2.64 m/s^2

Using 2nd equation of motion,

D = ut + 0.5 at^2

D = (3.7 x 1.4) - (0.5 x 2.64 x 1.4^2)

= 2.59 m

Sprint Speed, a Stat cast metric that was first used in the 2017 season, counts the number of feet per second a player covers in his quickest one-second span.

Currently, "qualifying runs" from these two groups are included in the metric:

• Runs from second base following an extra-base hit but eliminating runs of two bases or more on non-homers.

• Runs scored from first base to home on "tipped" or "weakly hit" balls.

A player's seasonal average is calculated using the best third of these runs on average.

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The speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

The initial speed of the ball = 20 m/s

Angle to the at which the ball is thrown = 60°

Gravity = 9.81 m/s²

Resistance of the air = 0.

The maximum height reached by the ball above the ground is,

[tex]H = \frac{u ^{2 }sin ^{2}θ} {2g}[/tex]

[tex]H = \frac{20 ^{2 }sin ^{2}60°} {2 \times 9.81}[/tex]

[tex]H = \frac{ 20 \times 20 \times \sqrt{3} }{2 \times 9.81 \times 2}[/tex]

[tex] = 17.6 \: m[/tex]

Thus, the maximum height reached by the ball above the ground is 17.6 m.

The flight time of the ball is,

[tex]t = \frac{2usinθ}{g} [/tex]

[tex]t = \frac{2 \times 20 \times sin60°}{9.81} [/tex]

[tex]t = \frac{2 \times 20 \times \sqrt{3} }{9.81 \times 2} [/tex]

[tex]t = 3.5 \: s[/tex]

Thus, the flight time of the ball is 3.5 s.

The speed of the ball when it reaches it reaches the maximum height from the ground is,

[tex]Speed = \frac{ Distance }{Time}[/tex]

[tex]Speed = \frac{17.6}{3.5} [/tex]

[tex]Speed = 5.02 \: m/s[/tex]

Therefore, the speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

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The efficiency of the engine is 17%

The answers to this exercise do not depend on the engine being of the Carnot design. Any heat engine that intakes energy as heat (from, say, consuming fuel) equal to

[tex]|Q_{H} |=[/tex]=94.5kJ and exhausts (or discards) energy as

heat equal to [tex]|Q_{L} |=[/tex]78.8KJ

will have these values of efficiency ε and network W

(a) Equation 20-12 gives ε=1- [tex]|\frac{Q_{L} }{Q_{H} }|[/tex] =1-0.8338624339 =0.17 =17%

Carnot cycle definition

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Answer:

B 4km north

Explanation:

Option a) 2.0m/s

So, where it is wide, speed is 2 m/s

According to equation of continuity

A1V1 =A2V2

A1= [tex]\pi[/tex][tex](2*10^{-2}) ^{2}[/tex]

A2 = [tex]\pi (1*10^{-2}) ^{2}[/tex]

V2 = 8m/s

solving by the equation, we have

v1 = 2 m/s

An equation that describes the movement of a certain amount is known as a continuity equation or transport equation. It can be generalized to apply to any substantial quantity, but it is especially straightforward and effective when applied to conserved quantities.

Since mass, energy, momentum, electric charge, and other natural quantities all remain constant under the proper circumstances, continuity equations can be used to explain a wide range of physical events.

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Answer:

The magnitude of the resultant vector, two vectors of the same magnitude are added; one pointing east, one west is Zero.

Explanation:

Vector resolution is the process of identifying the magnitude and direction of a vector's components visually or trigonometrically. The magnitudes of the aforementioned vector are due to the fact that the vector sum of all forces must still be zero.

A resultant force can be found by adding two forces together. A single force can be resolved (divided) into two component forces that are at right angles to one another.

A vector quantity with magnitude and direction can be used to represent a force. The pulling force may be resolved using vector diagrams into a horizontal component acting to the right and a vertical component acting upwards (or forces acting in opposite directions).

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