What will hit the ground first, a 50 pound weight or a 5 pound book? Explain.​

Answer:A

Explanation:

Answer:

s=0.204m

Explanation:

Assuming that the arrow is thrown horizontally and there is no air resistance, we can use the following formula to calculate the launch angle 0:

tan(0) = opposite/adjacent = height/distance

where opposite is the height that the arrow reaches and adjacent is the distance to the balloon.

Rearranging the formula, we get:

0 = arctan(height/distance)

0 = arctan(height/3)

Taking the tangent of both sides, we get:

tan(0) = tan(arctan(height/3))

tan(0) = height/3

Now, we need to find the height of the arrow. Using the kinematic equation:

v^2 = u^2 + 2as

where v is the final velocity (0m/s, at maximum height), u is the initial velocity (2m/s), a is acceleration (-9.8m/s^2, due to gravity) and s is the distance travelled vertically until the arrow reaches maximum height.

At maximum height, the final velocity is 0m/s. Therefore, we have:

0 = (2m/s)^2 + 2(-9.8m/s^2)s

Solving for s, we get:

s = 0.204m

Therefore, the height of the arrow is approximately 0.204m.

The set of all vectors which are scalar multiples of a nonzero vector u is a line through u and 0. a column vector in r₂ is a 1 x 2 matrix. The magnitude of a vector cv is c times the magnitude of v, where c is any scalar. The correct option is Option C.

Vector multiplication may refer to one of several products between two (or more) vectors. Multiplication of vectors is of two types. A vector has both magnitude and direction and based on this the two ways of multiplication of vectors are the dot product of two vectors and the cross product of two vectors. Dot product or "scalar product", is a binary product that takes place with two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors. Thus, A ⋅ B = |A| |B| cos θ

Cross product, or the "vector product", is a binary product on two vectors that results in another vector. So, if n is the unit vector perpendicular to the plane determined by vectors A and B,

A × B = |A| |B| sin θ n

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The pattern of lines of force around two positive charges separated from each other demonstrates the repulsive nature of like charges and the direction and strength of the electric field between them.

When two positive charges are separated from each other, the lines of force (also known as electric field lines) originate from one positive charge and terminate on the other positive charge. The lines of force follow a pattern that reflects the repulsion between the positive charges.

Here's a verbal description of the pattern:

From each positive charge, the lines of force radiate outward in all directions.

The lines of force are evenly spaced and radially symmetric around each charge, indicating that the electric field strength is the same at all points along a given line.

As the lines of force move away from each charge, they curve away from each other, reflecting the repulsion between the positive charges.

The density of lines of force is higher near the charges and decreases as they move further apart.

The lines of force never cross each other, maintaining their continuous and unbroken nature.

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The correct answer is Option C. and D. The Earth consists of several layers, and the two layers that represent parts of Earth that are mostly iron and nickel are layers B and C.

The Earth's structure has been divided into several layers based on the physical and chemical properties of the materials that make up each layer.

The model is made up of four main layers: the crust, mantle, outer core, and inner core.

The outer core and inner core are the two layers that are primarily made up of iron and nickel.

Layer B, the mantle, is made up of magnesium, silicon, and iron.

Layer C, the outer core, is made up of molten iron and nickel, with some lighter elements such as sulfur and oxygen.

The inner core, layer D, is mostly composed of solid iron and nickel.

The outer core is a liquid layer located between the mantle and the inner core.

This layer is approximately 2,300 km thick and is composed primarily of iron and nickel, with some lighter elements such as sulfur and oxygen.

The outer core is responsible for generating the Earth's magnetic field.

It's also responsible for producing seismic waves that help scientists learn about the interior of the

Earth. The inner core is a solid layer located at the center of the Earth, approximately 6,371 km below the Earth's surface.

It is composed mainly of iron and nickel, with trace amounts of lighter elements such as sulfur and oxygen.

The pressure at the center of the Earth is so high that the iron and nickel in the inner core are solid, despite being at a temperature of over 5,500°C.

Therefore, The correct answer is Option C. and D.

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Explanation:

You want  N/m

 N = 66 * 9.81

 m = 2.3 x 10^-2 m

66* 9.81 / 2.3 x 10^-2  = 28150 =  28 000 N/m    to two S D

Answer:

The correct option

(C) 50W

-

Hope it help's u :))!

Answer: The rock

Explanation:

(a) The magnitude of the angular momentum of the system is 5,252 kg m²/s.

(b) The rotational energy of the system is 2,826 J.

(c) The new moment of inertia is 31.25 Kgm².

(d) The new speed of each astronaut is 420.15 m/s.

(e) The new rotational energy of the system is 65.82 kJ.

(f) The work is done by the astronauts in shortening the rope -45,317,098 KJ.

(a) To calculate the magnitude of the angular momentum of the system, we can use the following equation:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. Since we are treating the astronauts as particles, we can assume they are point masses and use the formula for the moment of inertia of a point mass:

I = mr²

where m is the mass of each astronaut and r is the distance between them. The angular velocity can be found from the linear velocity and the distance between the astronauts:

ω = v/r

Putting in the given values, we get:

r = 5.00 m

m = 90.5 kg

v = 5.80 m/s

I = 2(mr²) = 2(90.5 kg)(5.00 m)²

              = 4,525 kg m²

ω = v/r = 5.80 m/s / 5.00 m

           = 1.16 rad/s

L = Iω = (4,525 kg m²)(1.16 rad/s)

          = 5,252 kg m²/s

Therefore, the magnitude of the angular momentum of the system is 5,252 kg m²/s.

(b) To calculate the rotational energy of the system, we can use the following equation:

E = (1/2)Iω²

Putting in the values for I and ω that we found in part (a), we get:

E = (1/2)(4,525 kg m²)(1.16 rad/s)²

  = 2,826 J

Therefore, the rotational energy of the system is 2,826 J.

(c) When the distance between the astronauts is shortened to 5.00 m, the moment of inertia of the system changes. We can calculate the new moment of inertia using the parallel axis theorem:

I = Icm + md²

where Icm is the moment of inertia about the center of mass (which remains the same), m is the mass of each astronaut, and d is the distance between each astronaut and the center of mass (which is half the original distance, or 2.50 m).

The new moment of inertia is:

I = Icm + 2md²

 = 2(m(2.50 m)²)

 = 31.25 kg m²

Therefore the new moment of inertia is 31.25 Kgm².

(d) To find the new speeds of the astronauts, we can use the conservation of angular momentum:

L = Iω = L'

where L is the initial angular momentum (which we found in part (a)) and L' is the new angular momentum (which we can find using the new moment of inertia and the new distance between the astronauts, which is 5.00 m).

Solving for ω', we get:

ω' = L' / I = L / I'

Putting in the values, we get:

L' = L = 5,252 kg m²/s

I' = 31.25 kg m²

ω' = 5,252 kg m²/s / 31.25 kg m² = 168.06 rad/s

The new speed of each astronaut is the tangential velocity at a distance of 2.50 m from the center of mass, which can be found using the formula:

v = ω'r

where r is the distance from the center of mass. Putting in the values, we get:

v = 168.06 rad/s * 2.50 m = 420.15 m/s

Therefore, the new speed of each astronaut is 420.15 m/s.

(e) To find the new rotational energy of the system after the astronauts have shortened the rope to 5.00 m, we can use the conservation of angular momentum:

L = Iω

where L is the angular momentum of the system, I is the moment of inertia of the system, and ω is the angular speed of the system. Since the rope is assumed to have negligible mass, we can treat the system as two point masses moving in a circle around their center of mass. The moment of inertia of this system can be calculated as:

I = 2mr²/5

where m is the mass of each astronaut and r is the distance between them. Initially, the moment of inertia of the system is:

I = 2 * 90.5 kg * (10.0 m / 2)² / 5

= 3638 kg m²

The initial angular momentum of the system is:

L = Iω = 3638 kg m² * (5.80 m/s) / (10.0 m / 2)

          = 4213.6 kg m²/s

After the astronauts have shortened the rope to 5.00 m, the moment of inertia of the system is:

I' = 2 * 90.5 kg * (5.00 m / 2)² / 5

  = 1352.5 kg m²

Since the angular momentum of the system is conserved, the new angular speed of the system is:

ω' = L/I' = 4213.6 kg m²/s / 1352.5 kg m² = 3.115 rad/s

E' = (1/2)I'ω'² = (1/2) * 1352.5 kg m² * (3.115 rad/s)²

                    = 65,817.6 J

                    = 65.82 kJ

Therefore, the new rotational energy of the system is 65.82 kJ.

(f) The work done by the astronauts in shortening the rope is:

W = ∫F dl = (F' - F) ∫dl

   = (6,043,064.25 N - 630.56 N) * (-7.50 m)

   = -45,317,098 KJ

Therefore, the work is done by the astronauts in shortening the rope -45,317,098 KJ.

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The  concentration of the solution will be 0.25M and the concentration of the  

sodium Hydroxide is 2.5 M .

A branch of chemistry deals with the application of  the laws of definite proportions and of the conservation of mass and energy to chemical activity. The quantitative relationship between constituent in a chemical substance.  

We have given here,

Moles of sodium chloride  =  0.25moles

Let us assume the the volume of  the solution is 1 L.

Molarity = 0.25/

Molarity will be 0.25 M

The mass of sodium Hydroxide is 20g and the molar mass is 40g ,

and the Volume will be 0.2L

Molarity = 20/ 40×0.2

Molarity = 2.5 mol / L

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During this experiment:

The angle of bob displacement should be small

The simple pendulum a system that moves in an oscillatory motion. It consist of a suspended mass on a string with length placed on a fixed support.

The acceleration due to gravity can be measured using a simple pendulum. During this experiment:

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Answer:

25 m/s

Explanation:

⠀⠀⠀⇒ Speed = 90 km/h

⠀⠀⠀⇒ Speed = 90 km/60 min [As 1 hr = 60 min]

⠀⠀⠀⇒ Speed = (90 × 1000) m/(60 × 60)sec

⠀⠀⠀⇒ Speed = 90000 m/3600 sec

⠀⠀⠀⇒ Speed = 900 m/36 sec

⠀⠀⠀⇒ Speed = 300 m/12 sec

⠀⠀⠀⇒ Speed = 100 m/4 sec

⠀⠀⠀⇒ Speed = 25 m/s

Answer:

B

Explanation:

A bicameral system describes a government that has a two-house legislative system, such as the House of Representatives and the Senate that make up the U.S. Congress.

Answer: a

Explanation:

The amount of load lifted by the pulley when the efficiency is 60% and effort is 50 N is determined as 30 N.

The amount of load lifted by the pulley is calculated by applying the formula for efficiency of a machine as follows;

E = L / E   x  100%

where;

The amount of load lifted by the pulley is calculated as;

60 = L / 50   x 100%

60 = 100L / 50

100L = 50 x 60

100 L = 3000

L = 3000 / 100

L = 30 N

Thus, the amount of load lifted by the pulley is 30 N.

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Answer:

5m

This is the number

Answer:

The value is \(\epsilon = 3.24 \ V\)  

Explanation:

From the question we are told  that

    The number of turns is  n =  65

    The diameter is  \(d = 14 \ cm = 0.14 \ m\)

    The magnetic field is  \(B_1 = 0.65 \ T\)

    The time taken for the magnetic field to be reduced to \(B_2 = 0 \ T\) is \(\Delta t = 0.2 s\)

Generally the magnitude of the induced emf is mathematically represented as

        \(\epsilon = N * \frac{B_1 - B_2}{\Delta t } * A\)

Here A is the area of the coil which is mathematically represented as

        \(A = \pi * \frac{d^2}{4}\)

=>     \(A = 3.142 * \frac{0.14^2}{4}\)

=>     \(A = 0.0154 \ m^2\)

So

        \(\epsilon = 65 * \frac{0.65 - 0 }{0.2 } * 0.01534\)  

=>    \(\epsilon = 3.24 \ V\)  

Answer:To protect the human body from foreign bodies from the outside environment.

Explanation:

D. The canister with the fastest moving particle is Z due to concentration of particle.

The speed of the particles depend on the mean distance of the particles.

The canister with the largest concentration per particle will contain particles with the greatest speed.

If the particle concentration is increasing from W to Z, then Z will have fastest moving particle.

Thus, the canister with the fastest moving particle is Z due to concentration of particle.

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Answer:

d. Z

Explanation:

If all the canisters had the same amount of particles, which canister would have the fastest moving particles?

Z

The molecules of O2 that are  present in 3.90 L flask at  a temperature of 273 K and a pressure of 1.00 atm is 1.047 x 10^23 molecules  of O2

Step  1:  used the ideal gas equation to calculate the moles of O2

that is Pv=n RT  where;

P(pressure)= 1.00 atm

V(volume) =3.90 L

n(number of moles)=?

R(gas constant) = 0.0821 L.atm/mol.K

T(temperature) = 273 k

by  making n the subject of the formula by  dividing  both side by RT

n= Pv/RT

n=[( 1.00 atm x 3.90 L)  /(0.0821 L.atm/mol.k  x273)]=0.174  moles

Step 2: use the Avogadro's  law constant  to calculate  the number of molecules

that  is  according to Avogadro's law

                          1  mole =  6.02 x10^23  molecules

                            0.174 moles=? molecules

by  cross  multiplication

the number of  molecules

= (0.174  moles x  6.02 x10^23  molecules)/ 1 mole  =1.047 x 10^23 molecules of O2

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The amount of friction depends on the force pushing the surfaces together. If this force increases, the hills and valleys of the surfaces can come into closer contact. The close contact increases the friction between the surfaces.

Explanation:

Here is the first one....you should try the second one...

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Answer:

1 and 5

Explanation:

potential energy is movement energy, and at 1 and 5 there is a lot of kinetic energy (built up energy) and not a lot of potential energy

Answer:

solution here

The correct anwer isB .

Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

Student 1 would have a power 467 W and student 2 would have a power of 433 W. The correct option is the fourth option - Student 1 would have 467 W, and Student 2 would have 433 W of power.

From the question,

We are to calculate the power each student would have to climb the flight of stairs.

Power can be calculated using the formula

\(P = \frac{F \times d}{t}\)

Where

P is Power

F is the force

d is the distance

and t is the time

NOTE: The weight of the students represent the force

F = 700 N

d = 4 m

t = 6 s

∴ \(P = \frac{700 \times 4}{6}\)

P = 467 W

F = 650 N

d = 4 m

t = 6 s

∴ \(P = \frac{650 \times 4}{6}\)

P = 433 W

Hence, Student 1 would have a power 467 W and student 2 would have a power of 433 W. The correct option is the fourth option - Student 1 would have 467 W, and Student 2 would have 433 W of power.

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This heat is most likely transmitted by Convection only. The first option is the correct answer.

Convection is the transfer of heat by the movement of a fluid or gas. When air moves across a warm body of water, it is heated by the water through convection and rises in the atmosphere. This process is called a sea breeze.

Heat convention in materials can be calculated using the formula:

Q = h A ΔT

Where,

Q = heat transfer rate

h = convection heat-transfer coefficient

A = exposed surface area

ΔT = temperature difference

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Answer:

The wavelength is \(\lambda = 886\ nm\)

Explanation:

From the question we are told that

   The energy band gap is  \(E = 1.4 eV\)

Generally the wavelength is mathematically evaluated as

        \(\lambda = \frac{hc}{E}\)

Where h is  the Plank constant with a value \(h = 4.1357 * 10{-15}\)

          c is the speed of light  with constant value of \(c = 3. 0 *10^{8} \ m/s\)

substituting values

      \(\lambda = \frac{ 4.1357 *10^{-15} * 3.0*10^{8}}{1.4}\)

     \(\lambda = 886\ nm\)

The optimum wavelength of light for photovoltaic generation in a GaAs solar cell​ is equal to 886 nanometer.

Given the following data:

Scientific data:

To calculate the optimum wavelength of light for photovoltaic generation in a GaAs solar cell​:

Mathematically, Einstein's equation for photon energy is given by this formula:

\(E = hf = \frac{hc}{\lambda}\)

Where:

Making \(\lambda\) the subject of formula, we have:

\(\lambda = \frac{hc}{E}\)

Substituting the given parameters into the formula, we have;

\(\lambda = \frac{6.626 \times 10^{-34}\times 3 \times 10^8}{1.4 \times 1.602 \times 10^{-19}}\\\\\lambda =\frac{1.99 \times 10^{-25}}{2.2428 \times 10^{-19}} \\\\\lambda = 8.86 \times 10^{-7}\;m\)

Note: \(1 \;nanometer = 1 \times 10^{-9} \;meter\)

Wavelength = 886 nanometer

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