Marcel is helping his two children, Jacques and Gilles, to balance on a seesaw so that they will be able to make it tilt back and forth without the heavier child, Jacques, simply sinking to the ground. Given that Jacques, whose weight is WWW, is sitting at distance LLL to the left of the pivot, at what distance L1L1L_1 should Marcel place Gilles, whose weight is www, to the right of the pivot to balance the seesaw

Answer:

Option: e) Glaciers

Explanation:

Historically, the Inland South viewed as a backwater of the United States. The Inland South is known for its Appalachians mountains, swampland.  Flatland, sandy soils, and meandering rivers are some of its features. The climate is hot and humid, which allow the area to grow as Pantanal floodplains. Glaciers will be one of the landforms that one will not expect to see in the Inland South.

Explanation:

Draw a free body diagram of the toolbox.  There are two forces:

Weight force mg pulling down,

and applied force F pulling up.

Sum of forces in the y direction:

∑F = ma

F − mg = ma

45 N − 15 N = (3 kg) a

a = 10 m/s²

The answer should be B.  It's possible the answer key has a mistake.

Answer:

The width of the slit is    [tex]d = 5.68 *10^{-5} \ m[/tex]

Explanation:

From the question we are told that

    The wavelength is  [tex]\lambda = 610 \ nm = 610 *10^{-9} \ m[/tex]

     The  angle is  [tex]\theta = 1.23 ^o[/tex]

Generally the angle between the first minimum on one side and that the central maximum is evaluated as

            [tex]\theta _1 = \frac{\theta}{2}[/tex]

=>         [tex]\theta _1 = \frac{1.23}{2}[/tex]

=>         [tex]\theta _1 = 0.615 ^o[/tex]

Generally the condition for minimum diffraction is mathematically represented  as

        [tex]d sin \theta_1 = n\lambda[/tex]

For first minimum n = 1

=>    [tex]d = \frac{n \lambda }{ sin (\theta_1)}[/tex]

=>    [tex]d = \frac{1 * 610 *10^{-9}}{ sin (0.615)}[/tex]

=>    [tex]d = 5.68 *10^{-5} \ m[/tex]

Answer:

The  value is  [tex]\lambda = 572 *10^{-9} \ m[/tex]

Explanation:

From the question we are told that

    The  number of  bright fringes is  n =  402

     The  displacement of the mirror is  [tex]\delta l = 0.115 \ mm = 1.15 *10^{-4} \ m[/tex]

Generally the number of fringes is mathematically represented as

       [tex]n = \frac{2 * \delta l }{\lambda }[/tex]

=>    [tex]\lambda = \frac{2 * \delta l }{n }[/tex]

=>     [tex]\lambda = \frac{2 * 1.15*10^{-4} }{402 }[/tex]

=>   [tex]\lambda = 572 *10^{-9} \ m[/tex]

3.3 x10^4N/m²

6.7 x105N/m²

Explanation:

Let the young modulus of the relaxed biceps be

Y= F¹Lo/ deta L1 x A

= 25 x0.2/ 0.03* 50cm²(1m²

0.0004cm^-²)

= 3.3x10^4N/m²

But young modules of muscle under maximum tension will be

Y= F"Lo/ deta L" x A

= 500x 0.2/ 0.03* 50cm²(1m²

0.0004cm^-²)

= 6.7 x10^5N/m²

The Young's Modulus of the relaxed muscle and the muscle under maximum tension is 3.3×10⁴ N/m² and 6.6×10⁵ N/m² respectively.

Assuming the biceps muscle as a uniform cylinder with an initial length of L = 0.2 m and cross-sectional area of A = 50cm² = 0.05m²

(i) For the relaxed muscle:

Force required for elongation of ΔL = 0.03m is, F = 25 N

Young's Modulus (Y) = stress/strain

Now, stress =  F/A,

and strain = ΔL/L

thus,

Y = (F/A) / (ΔL/L)

Y = FL/AΔL

Y = (25×0.2)/(0.05×0.03)

Y = 3.3×10⁴ N/m²

(ii)(i) For the muscle under maximum tension:

Force required for elongation of ΔL = 0.03m is, F = 500 N

Young's Modulus (Y) = stress/strain

Now, stress =  F/A,

and strain = ΔL/L

thus,

Y = (F/A) / (ΔL/L)

Y = FL/AΔL

Y = (500×0.2)/(0.05×0.03)

Y = 6.6×10⁵ N/m²

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Answer:

d. 8.6 x 10-3 eV

Explanation:

Binding energy is energy that binds two atoms together . Energy is required to separate them . In the process of evaporation , energy is required to separate each molecules/ atoms  of liquid so that they are separated and then get evaporated . That is why latent heat of evaporation is required .

1 mole of helium will contain 6.02 x 10²² atoms of it .

binding energy per atom  = 84 / 6.02 x 10²² J

= 13.953 x 10⁻²² J

= 13.953 x 10⁻²² / 1.6 x 10⁻¹⁹ eV .

= 8.6 x 10⁻³ eV

The smaller the area the greater the pressure, while the bigger the smaller the pressure. So they are inversely proportional

Answer:

λ = hc/(eV + h[tex]f_{0}[/tex])

Explanation:

Let the work function of the metal = ∅

the kinetic energy with which the electrons are ejected = E

the energy of the incident electromagnetic wave = hf

Then, we know that the kinetic energy of the emitted electron will be

E = hf - ∅

because the energy of the incident electromagnetic radiation must exceed the work function for electrons to be ejected.

This means that the energy of the incident e-m wave can be written as

hf = E + ∅

also, we know that the kinetic energy of the emitted electron E = eV

and the work function ∅ = h[tex]f_{0}[/tex]

we can they combine all equations to give

hf = eV + h[tex]f_{0}[/tex]

we know that f = c/λ

substituting, we have

hc/λ = eV + h[tex]f_{0}[/tex]

λ = hc/(eV + h[tex]f_{0}[/tex])    This is the wavelength of the e-m radiation needed to eject electrons from a metal.

where

λ is the wavelength of the e-m radiation

h is the Planck's constant = 6.63 x 10^-34 m^2 kg/s

c is the speed of e-m radiations in a vacuum = 3 x 10^8 m/s

e is the charge on an electron

V is the voltage potential on the electron

[tex]f_{0}[/tex] is the threshold frequency of the metal

Answer:

No

Explanation:

No, it is impossible to calculate the two masses.

From the statement, there is one known mass on one of the side of the pivot and one "mystery" mass object on the other side of the pivot, so that we have to move that mystery mass or that known mass in a way that it balances both.

We need to know at least one mass. We cannot use any equilibrium condition involving torque  with unknown masses.

Answer:

n = 1,732    the amplitude must be increased by a factor of 1,732

Explanation:

The power delivered by a wave is given by

                  P = E / t

                  P = ½ μ w² v A²

let's apply this expression to our case the power tripled

                3P₀ = ½ μ w² v A’²

let's write the amplitude function of a initial amplitude

               A ’= n A₀

where n is a number

               3 P₀ = (½ μy w² v  A₀²) n²

               3P₀ = P₀ n²

               n = √ 3

               n = 1,732

therefore the amplitude must be increased by a factor of 1,732

Answer:

 R₁ = (n -1) f

Explanation:

In geometric optics the focal length and the radius of curvature are related, for the case of a lens

          1 / f = (n₂-n₀) (1 / R₁ - 1 / R₂)

where f is the focal length, n₂ is the refractive index of the material, n₀ is the refractive index of the medium surrounding the material, R₁ and R₂ are the radius of curvature of each of the material's

In our case, the most common is that the lens is in the air, so n1 = 1, in many cases one of the surfaces is flat, so its radius of curvature R₂ = ∞.

     1 / f = (n-1) (1 / R₁)

we look for the radius of curvature R₁

    1 / R₁ = 1 / f (n-1)

     R₁ = (n -1) f

With this expression we can find the radius of curvature of a concave-plane lens

Answer: 200m/min

Explanation:

Divide 10000m by 160m/min, you will get the answer 62.5. You then subtract 12.5 from 62.5 to understand what you will need your answer for the other person’s speed will be. 10000m divided by 50min is 200m/min.

Answer:

The value is  [tex]r = 5.077 \ m[/tex]

Explanation:

From the question we are told that

   The  Coulomb constant is  [tex]k = 9.0 *10^{9} \ N\cdot m^2 /C^2[/tex]

   The  charge on the electron/proton  is  [tex]e = 1.6*10^{-19} \ C[/tex]

    The  mass of proton [tex]m_{proton} = 1.67*10^{-27} \ kg[/tex]

    The  mass of  electron is  [tex]m_{electron } = 9.11 *10^{-31} \ kg[/tex]

Generally for the electron to be held up by the force gravity

   Then    

       Electric force on the electron  =  The  gravitational Force

i.e  

            [tex]m_{electron} * g = \frac{ k * e^2 }{r^2 }[/tex]

         [tex]\frac{9*10^9 * (1.60 *10^{-19})^2 }{r^2 } = 9.11 *10^{-31 } * 9.81[/tex]

         [tex]r = \sqrt{25.78}[/tex]

         [tex]r = 5.077 \ m[/tex]

A

Answer:

Speed of water in the 0.5cm diameter will be faster because it has a smaller area

Since area x radius ² so if radius is reduced by 0.5 speed is increased by 4times in the 0.5 diameter pipe

Explanation:

Distance = speed × time

d = (37,000 km/hr) (13 hr)

d = 481,000 km

Answer:

The particle will continue in a straight line parallel to the field

Explanation:

If a charged particle moves parallel to a magnetic field, without cutting across the field, then there will be no force on the particle. Since there is no force on the charged particle from the magnetic field, its velocity will continue in its original path, which is parallel to the field.

Answer:

He should aim below 40°

Explanation:

Because

His eyes are being deceived about the real location of the fish, because the light coming from the fish is refracting away from the normal, if traced from the vertical as it passes into the air and to his eye . so, he will perceive the fish as being shallower than it really is. So if he throws the spear which will travel in a straight line directly at where he perceives the fish to be, the spear will pass above its head so he needs to need to aim lower than 40°

Explanation:

Answer:

  θ = 28.9

Explanation:

For this exercise let's use the law of refraction

          n₁ sin θ₁ = n₂ sin θ₂

where we use index 1 for air and index 2 for water where the fish is

        sin θ₂ = n₁ / n₂ sin θ₁

in this case the air repair index is 1 and the water 1.33

we substitute

        sin θ₂ = 1 / 1.33 sin t 40

        sin θ = 0.4833

        θ = sin⁻¹ 0.4833

        θ = 28.9

Answer:

The correct answer is - speed.

Explanation:

Health related fitness have five major components that are muscular strength or power, endurance, body composition, cardiovascular endurance and flexibility.

All these five health related fitness helps an individual to loose weight, better sleep, enhance mood and prevents from various disease and many other beneficiary results.

Thus, the correct answer is : speed.

Answer:

The thickness of the film is 4.32 μm.

Explanation:

Given;

index of refraction of the thin film on one beam, n₂ = 1.5

number of  bright fringes shift in the pattern produced by light, ΔN = 8

wavelength of the Michelson interferometer, λ = 540 nm

The thickness of the film will be calculated as;

[tex]\delta N = \frac{2L}{\lambda} (n_2 -n_1)[/tex]

where;

n₁ and n₂ are the index of refraction on the beam

L is the thickness of the film

[tex]\delta N = \frac{2L}{\lambda} (n_2 -n_1)\\\\L = \frac{\lambda}{2} (\frac{N}{n_2-n_1} )\\\\L = \frac{540*10^{-9}}{2} (\frac{8}{1.5-1} )\\\\L = 4.32*10^{-6} \ m\\\\L = 4.32 \mu m[/tex]

Therefore, the thickness of the film is 4.32 μm.

Explanation:

1)

The answer is

The volleyball accelerates the same amount toward the ground each time.

Because gravitational acceleration is constant irrespective of altitude(height) or mass of the object.

2)

The answer is

the mass of each ball

because gravitational force is given by

F = mg

since g is a constant, he only needs to measure the mass if each ball

The concepts of free fall and Newton's second law allow to find the correct answers

1) Acceleration is constant

2) The mass of the body

The game of volleyball consists of throwing the balls from the serve to pass it to the other court, this is a two-dimensional movement type projectile launch, in this type of movement the acceleration is the constant on the y axis, it is called acceleration of the gravity and vale (g = 9.8 m / s²)

1) Let's review the different statements of the first part regarding acceleration.

a) The ball accelerates faster as it goes down

   False. Acceleration is constant

b) The ball accelerates the same amount

   True. Acceleration is constant and directed on the vertical axis

c) The ball accelerates slower or faster

     False. Acceleration is constant

The vertical launch of kinematics, establishes that the ball as it descends it goes faster with an acceleration equal to the acceleration of gravity, in this part it is asked to look for the force of the ball when it reaches the ground, for this the second is used Newton law

           F = m a

where in this case the acceleration is the acceleration of gravity

          a = g

          F = m g

Let's review the different claims

a) Initial velocity

    False. To calculate the force you only need the mass since acceleration is constant

b) The mass

    True. The product of the mass and the acceleration of gravity gives the force with which the ball hits the ground

c) Increasing speed

    False. Increasing speed allows calculating acceleration not force

d) The final speed

     False. Force does not depend on the speed of the body

In conclusion using the concepts of free fall and Newton's second law we can find the correct answers:

1)  Acceleration is constant

2) Body mass

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Answer:

The  value is  [tex]y = 0.0025 \ m[/tex]

Explanation:

From the question we are told that

   The  wavelength is  [tex]\lambda = 500 \ nm[/tex]

    The distance of separation is  [tex]d = 1\ mm = 0.001 \ m[/tex]

   The  distance from the screen is  [tex]D = 5 \ m[/tex]

Generally the separation between the adjacent bright fringe is mathematically represented as

       [tex]y = \frac{D * \lambda }{ d}[/tex]

=>    [tex]y = \frac{5 * 500 *10^{-9}}{0.001}[/tex]

=>    [tex]y = 0.0025 \ m[/tex]

Answer:

True

Explanation:

J. Henry Alston was known as a famous African American psychologist. He was known through his detailed study of the sensations of heat and cold which is a necessity for all humans.

He however became the first African American to publish his research findings on the perception of heat and cold in a major US psychology journal which gave him recognition in his field.

Answer:

True        YOUR WELCOME        

Answer:

the volume desalinated  that is placed is equal to the volume of the block.

Explanation:

For this exercise we use the Archimedean principle which states that the thrust is equal to the weight of the desalted liquid.

                      B = ρ g V

When we have the block of wood the volume of water desalinated in the volume of the block under water, this is because the wood floats in the water

When placing the block of clay (brick), it sinks, so the volume desalinated  that is placed is equal to the volume of the block.

          V_body = V_waer = l to h

Answer:

When an elastic material is stretched, depending on the stress, it might reach a point beyond which it will no longer return to its original size and shape. This point is called the elastic limit.

When the material (such as a metal rod (e.g steel, copper)) is stretched beyond its elastic limit, Hooke's law is no longer obeyed. i.e strain is no longer directly proportional to stress.

Answer:

-384.22N

Explanation:

From Coulomb's law;

F= Kq1q2/r^2

Where;

K= constant of Coulomb's law = 9 ×10^9 Nm^2C-2

q1 and q2 = magnitudes of the both charges

r= distance of separation

F= 9 ×10^9 × −7.97×10^−6 × 6.91×10^−6/(0.0359)^2

F= -495.65 × 10^-3/ 1.29 × 10^-3

F= -384.22N

Answer:

So the minimum force is

32.2Newton

Explanation:

To solve for the minimum force, let us assume it to be F (N)

So

F=mgsinA

But

=>>>> coefficient of static friction x (F + mgcosA

=>3 x 9.8 x sin35 = 0.3 x (F + 3 x 9.8 x cos35)

So making F subject of formula

F + 24.0 = 56.2

F = 32.2N

Answer:

Tape casting

Explanation:

Tape casting is also known as knife coating. This process is used specially in the production of thin surfaces of a ceramic work.

Tape casting is also the process which which involves long thin strips of flexible ribbon being produced by pouring onto a flat surface. It is then left to dry by applying a high temperature and then ready for use.