If a→=3i^-2j^-k^ and b→=i^+4j^+k^, find a unit vector n^ normal to the plane containing a→ and b→ such that a→, b→ and n^, in this order, form a right-handed system.​

Answer:

value is obtained than the real one.

        ρ >  ρ_real

Explanation:

A widely used method to determine the density of a body is to measure its mass and measure its volume by immersing it in a transparent liquid, to measure its volume by the difference in volumes of the liquid then use the relationship

        ρ = m / V

In this case, part of the body remains the force of the liquid, in this case using Archimedes' principle that establishes that the weight of the desalted liquid is equal to the thrust, let's use the equilibrium equation

              B - W = 0

              B = W

              ρ_liquid  g V_submerged = ρ_body g V_body

              V_submerged = (ρ_body /ρ-liquid)   V_body

We can see that the volume is only a fraction of the volume of the body, therefore when performing the division a higher value is obtained than the real one.

Answer:

a)   m =1  θ = sin⁻¹  λ  / d,  m = 2        θ = sin⁻¹ ( λ  / 2d) ,   c)     m = 3

Explanation:

a) In the interference phenomenon the maxima are given by the expression

         d sin θ = m λ

the maximum for m = 1 is at the angle

          θ = sin⁻¹  λ  / d

the second maximum m = 2

          θ = sin⁻¹ ( λ  / 2d)

the third maximum m = 3

        θ = sin⁻¹ ( λ  / 3d)

the fourth maximum m = 4

       θ = sin⁻¹ ( λ  / 4d)

b) If we take into account the effect of diffraction, the intensity of the maximums is modulated by the envelope of the diffraction of each slit.

       I = I₀ cos² (Ф) (sin x / x)²

       Ф = π d sin θ /λ

       x = pi a sin θ /λ

where a is the width of the slits

with the values ​​of part a are introduced in the expression and we can calculate intensity of each maximum

c) The interference phenomenon gives us maximums of equal intensity and is modulated by the diffraction phenomenon that presents a minimum, when the interference reaches this minimum and is no longer present

maximum interference       d sin θ = m λ

first diffraction minimum    a sin θ = λ

we divide the two expressions

                       d / a = m

In our case

                   3a / a = m

                    m = 3

order three is no longer visible

(a)  The next four angles from the central maxima are sin⁻¹  λ  / d, sin⁻¹  λ  / 2d , sin⁻¹  λ  / 3d, and sin⁻¹  λ  / 4d respectively.

(b)   With the values ​​of part a are the expression of intensity of each maximum can be calculated accordingly.

(c)   The third order maxima (m = 3) is missing from the pattern obtained through the double-slit experiment.

a)

In the interference phenomenon the maxima are given by the expression

d sin θ = m λ

Here,

d is the slit separation and m is the order of interference.

The maximum for m = 1 is at the angle is,

θ = sin⁻¹  λ  / d

For the second maximum m = 2

θ = sin⁻¹ ( λ  / 2d)

For the third maximum m = 3

θ = sin⁻¹ ( λ  / 3d)

For the fourth maximum m = 4

θ = sin⁻¹ ( λ  / 4d)

Thus, we can conclude that the next four angles from the central maxima are sin⁻¹  λ  / d, sin⁻¹  λ  / 2d , sin⁻¹  λ  / 3d, and sin⁻¹  λ  / 4d respectively.

b)

Considering the effect of diffraction, the intensity of the maximums is modulated by the envelope of the diffraction of each slit.

I = I₀ cos² (Ф) (sin x / x)²

Where Ф is the phase angle, and its value is,

 Ф = π d sin θ /λ

x = π  a sin θ /λ

Here a is the width of the slits

Thus, with the values ​​of part a are introduced in the expression the  intensity of each maximum can be calculated accordingly.

c)

The interference phenomenon gives us maximums of equal intensity and is modulated by the diffraction phenomenon that presents a minimum, when the interference reaches this minimum and is no longer present.

For the maximum interference:        

d sin θ = m λ

For the first diffraction minimum:    

a sin θ = λ

Dividing both the expressions as,

d / a = m

Since, d = 3a. Then,

3a / a = m

m = 3

Thus, we can conclude that the third order maxima (m = 3) is missing from the pattern obtained through the double-slit experiment.

Learn more about the interference here:

https://brainly.com/question/16098226

Answer:

Destructive interference

Explanation:

Destructive interference occurs when two waves traveling along the same medium meet and cancel each other out. The resultant wave has a smaller amplitude than the individual waves. In this case, the maxima of two waves are 180 degrees out of phase.

Hence, the correct option is (A) "destructive interference"

Answer: the answer is A. Destructive inference

Explanation: I took the test

Answer:

The is: Although it is possible to have more than one state, it is also possible to have only one state.

Explanation:

Hope this helps! ;-)

Answer:

Although it is possible to have more than one state, it is also possible to have only one state.

Explanation:

Answer:

The two balls pass each other at a height of 5.53 m

vf1=17.97 m/s

vf2=-5.96 m/s

Explanation:

Vertical Motion

An object thrown from the ground at speed vo, is at a height y given by:

[tex]y=vo.t-g.t^2/2[/tex]

Where t is the time and [tex]g=9.8\ m/s^2[/tex]

Furthermore, an object dropped from a certain height h will fall a distance y, given by:

[tex]y=g.t^2/2[/tex]

Thus, the height of this object above the ground is:

[tex]H = h-g.t^2/2[/tex]

The question describes that ball 1 is dropped from a height of h=22 m. At the same time, ball 2 is thrown straight up with vo=12 m/s.

We want to find at what height both balls coincide. We'll do it by finding the time when it happens. We have written the equations for the height of both balls, we only have to equate them:

[tex]vo.t-g.t^2/2=h-g.t^2/2[/tex]

Simplifying:

[tex]vo.t=h[/tex]

Solving for t:

[tex]t=h/vo=22/12=1.833\ s[/tex]

The height of ball 1 is:

[tex]H = 22-9.8.(1.833)^2/2[/tex]

H = 5.53 m

The height of ball 2 is:

[tex]y=12\cdot(1.833)-9.8\cdot(1.833)^2/2[/tex]

y=5.53 m

As required, both heights are the same.

The speed of the first ball is:

[tex]vf1=g.t=9.8\cdot 1.833=17.97\ m/s[/tex]

vf1=17.97 m/s

The speed of the second ball is:

[tex]vf2=vo-gt=12-9.8\cdot 1.833=-5.96\ m/s[/tex]

vf2=-5.96 m/s

This means the second ball is returning to the ground when both balls meet

Answer:

We are given:

u = 2.5 m/s

a = 0.2 m/s/s

t = 25 seconds

v = v m/s

Solving for 'v':

From the first equation of motion:

v = u + at

Replacing the values

v = 2.5 + (0.2)(25)

v = 2.5 + 5

v = 7.5 m/s

Answer:

Conduction

Explanation:

conduction is one of the three main ways that heat energy moves from place to place the other two ways heat moves around our radiation and convection conduction is the process by which heat energy is transmitted through Collisons between neighboring atoms or molecules.

hope this helps :)

Answer:

A

Explanation:

For a 2-kg ball moving with a constant speed of 5 m/s in a horizontal circle whose radius,  the magnitude of the net force on the ball is 50 cm. is mathematically given as

F= 100 N

Generally, the equation for the Net force   is mathematically given as

F = m*r*w^2

Where

w = angular velocity

w= 5/r

w= 10 rad/s

Therefore

F = 2/0.5/10^2

F= 100 N

Read more about  Force

https://brainly.com/question/13370981

Answer:

The person's hand will warm up the jar

Explanation:

Thermal energy will be conducted from his hand to the jar

Answer:

Electrons being pulled from one surface to another

Explanation:

The movement of electrons creates electrical charge.

Valid Expressions are; t = ∛(d²/va), a = d/t², a = √(vd/t³), v = at

while the Invalid expressions are;  v = a/t and  d = at

Explanation:

Given expressions

1) v = a/t

2) t = ∛(d²/va)

3) d = at

4) a = d/t²

5) a = √(vd/t³)

6) v = at

First we get our units of parameters

V = m/s, t = sec, d = m, a = m/s²

so

1)

v = a/t

we substitute in our units of parameters

v = m/s² / s = m/s² × 1/s = m/s³

v ≠ m/s³

therefore it is false

2)

t = ∛(d²/va)

we substitute

t = ∛(m² / m/s × m/s²)

t = ∛(m² / m²/s³)

t = ∛(s³)

t = s

correct, the expression is true

3)

d = at

we substitute

d = m/s² × s

d = m/s² × s/1 =  ms/s² = m/s

d ≠ m/s (because d = m)

so expression is false

4)

a = d/t²

we substitute

a = m / s² = m/s²

correct

the expression is true

5)

a = √(vd/t³)

we substitute

a = √(m/s×m / s³) = √(m²/s / s³) = √(m²/s × 1/s³)  = √(m²/s⁴) = m/s²

so a = m/s²

correct

the expression is true

6)

v = at

we substitute in the units

v = m/s² × s = m/s² ×s/1 = ms/s² = m/s

v = m/s

correct

the expression is correct

Answer:

Explanation:

The volume of a substance when given the density and mass can be found by using the formula

[tex]volume = \frac{mass}{density} \\ [/tex]

From the question we have

[tex]volume = \frac{100}{50} \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

The distance covered is: 824.74 meters

Explanation:

Use the formula for velocity (v) as the distance (d) covered over the time (t) it took:

v = d / t

in our case:

6.02 m/s = d / 137 s

d = 6.02 * 137 = 824.74 meters

Answer:

Asalamalikum maryam

Following are the characteristics that help to distinguish between man's and women's voice

Answer:

Explanation:

from highest to lowest frequency

gamma-ray, x-ray, ultraviolet, visible light, infrared, microwave, radio

hope this helps have a good day :)

The electromagnetic waves with the lowest frequencies are the ones we call "radio" waves.

The electromagnetic waves with the highest frequencies are the ones we call "gamma rays".

In between those are all the others . . . the microwaves, the heat ('thermal') waves, the infrared waves, the light waves, the ultraviolet waves, and the X-rays.

Answer:

Using Newton's second law of motion;

F=ma

25=0.25a

a=25/0.25=100 m/s²

After 20 minutes;

Vf=at+Vi

Vf=100(1200)+0

Vf=120000 m/s

d=at²/2 +Vi×t

d=100(1200)²+0

d=144 000 000 meters

Friction affects the motion of two objects sliding past each other. This frictional force results into the loss of energy and hence slow down the motion of the two objects in contact.

Frictional force is the force that is resisting the relative motion of solid surfaces, fluid layers, and the two material elements which are sliding against each other. There are several types of friction such as dry friction, it is a force that opposes the relative lateral motion of the two solid surfaces which are in contact.

Frictional force generates when the two surfaces slide past one another in motion. The force of friction opposes the motion of an object which is in contact, causing the moving objects to lose energy and slow down. The frictional force is important as it helps us in walking, driving a car, and in doing other works.

Learn more about Friction here:

https://brainly.com/question/13000653

#SPJ6

Answer:

0.5 amps

Explanation:

the amps will be constant no matter what

The serve, forehand groundstroke, backhand groundstroke, forehand volley, backhand volley, and overhead smash are the six basic strokes in tennis. The 6 basic "strokes" are the basic actions a tennis player makes to hit the ball.

Stay safe & humble <3

Answer:

Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest. ... The gravitational pull of the sun and moon on the earth also causes waves.

Answer:

The total system kinetic energy before the collision equals the total system kinetic energy after the collision. If total kinetic energy is not conserved, then the collision is referred to as an inelastic collision.

Explanation:

Initial kinetic energy KE = 1/2 m1v12 + 1/2 m2v22 = joules. The following calculation expects you to enter a final velocity for mass m1 and then it calculates the final velocity of the other mass required to conserve momentum and calculates the kinetic energy either gained or lost to make possible such a collision.

Answer:

All of Above

Explanation:

Answer:

(a) α = - 1000 rad/s²

Negative sign represents deceleration.

(b) θ = 3581 rotations

(c) L = 1800 m

(d) a = - 80 m/s²  

Explanation:

(a)

using First equation of motion for angular motion:

ωf = ωi + αt

where,

ωf = Final Angular Speed = 2000 rad/s

ωi = Initial Angular Speed = 7000 rad/s

α = Angular Acceleration = ?

t = time = 5 s

Therefore,

2000 rad/s = 7000 rad/s + α(5s)

α = (2000 rad/s - 7000 rad/s)/5 s

α = - 1000 rad/s²

Negative sign represents deceleration.

(b)

Using second equation of motion:

θ = ωi t + (1/2)αt²

where,

θ = No. of Rotations = ?

Therefore,

θ = (7000 rad/s)(5 s) + (1/2)(- 1000 rad/s²)(5 s)²

θ = 35000 rad - 12500 rad

θ = (22500 rad)(1 rotation/2π rad)

θ = 3581 rotations

(c)

Length of String = L = (Circumference of Pulley)(θ)

L = [2π(0.08 m)][3581 rotations]

L = 1800 m

(d)

Tangential Acceleration = a = rα

a = (0.08 m)(-1000 rad/s²)

a = - 80 m/s²

Impact force

Impact force is the force exerted by bodies when they come in contact. Impact force has same unit as force. it is similar to impulse the difference is that impulse considers time.

hope it helps...

Superposition is the most correct option

When two waves meet it is generally called inteference. Superposition occurs when the waves adds up to form a stronger wave. This is called constructive interference

hope this helps....

Answer:

I think it's just 100+70+140

Answer:

25 kg m^2/s

Explanation:

The angular acceleration due to the application of torque to the grinding wheel is:

[tex]\tau=I\alpha \rightarrow \alpha=\frac{2.5}{2}=1.25[/tex] (in radian per square second)

So, by the basic equation of the angular acceleration, we can get the angular velocity at t = 10 s as follows:

[tex]\omega=\omega_{o}+\alpha t \rightarrow \omega =0+(1.25)(10) =12.5[/tex] rad/s.

So, the angular momentum at t = 10 s:

[tex]L=I\omega=(2)(12.5) = 25[/tex]  kg m^2/s

For the following statements

A) The motor speed is less than wheel speed.

B) The output power of the motor is positive during hill climbing.

C) The wheel torque is more than motor torque

These assertions are given respectively as

Speed: defined as the ratio of operation with respect to distance and time

Power: defined as the ability to work

Torque: This is the speed of a rotating object

Generally, the equation for Speed, Power, Torque  is mathematically given as

V=m/s

P=w/t

T=rfsin\theta

In conclusion

For a moving car, the wheels speed is in equilibrium with the motor speed Hence false

The output power during a hill climb is positive cause work is been done, Hence true

The wheel torque also is in equilibrium with the motor Torque, Hence false

Read more about Work

https://brainly.com/question/756198

Answer:

room temperature water

Explanation:

Answer:

In the figure, the particles of cocoa are moving faster than the particles of bathwater. Therefore, the cocoa has a higher temperature. However, the bath water has more thermal energy because there is so much more of it. It has many more moving particles.

Explanation: