The rotational inertia of a sphere of mass m and radius r about a diameter is 25mr2. The rotational inertia about an axis tangent to the sphere is

The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.

From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.

For case 2, f = mg = kx₂.

Therefore, we'll equate the equations. This will be:

Kx₁ = Kx₂

(K/2)x₁ = (2k)x₂

K(x₁/2) = k(2x₂)

X₁/2 = 2x₂

X1 = 2 × 2x₂

X₁ = 4X₂.

In conclusion, X₁ = 4X₂.

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X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is

F = kx

For case 1;

f=mg=kx₁

For case 2;

f=mg=kx₂

After equating the equation we get;

[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]

Hence  X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

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#a

Force:-

#b

Force:-

Answer: (A) The number of waves that pass a point in a certain amount of time.  

Explanation:

Electromagnetic waves are categorized according to their frequency f or, equivalently, according to their wavelength λ = c/f. Visible light has a wavelength range from ~400 nm to ~700 nm.

Frequency: Is the number of waves that pass a certain point in a specified amount of time.

Trough: The low point of the wave cycle.

Wavelength: The distance between two successive peaks.

Electromagnetic wave: One of the waves that are propagated by simultaneous periodic variations of electric and magnetic field intensity.

Answer: When you name an element, it's usually because the element is newly discovered. So by naming an element you are creating something that will last throughout history.

Explanation:

Answer:

Explanation:

well it depends what game are you talking about

Light travels in straight lines

Light is a form of energy.

Light travels in waves.

Answer:

orce = rate of change of momentum which is m a if the mass is constant

10 Newtons = change of momentum/0.10 second

so change of momentum = 1 kg m/s

by the way the change in speed would be 1/5 = .2 m/s

Explanation:

If a 5-kg object experiences a 10-N force for a duration of 0. 10-second then the impulse exerted by the force on the object would be 1 Ns, and the change in the momentum would be  1 Ns.

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.

As given in the problem If a 5-kg object experiences a 10-N force for a duration of 0. 10-second then we have to find out what the impulse exerted by the force on the object.

P = force × time

  = 10 × 0.1

  = 1  Ns

Thus, If a 5-kg object experiences a 10-N force for a duration of 0. 10-second then the impulse exerted by the force on the object would be 1 Ns, and the change in the momentum would be  1 Ns.

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The work done on the object moving in the xy-plane that is subjected to the given applied force is determined as (2ab²i + 3b²j) J.

The magnitude of the force on the object is calculated as follows;

f = (2xyi + 3yj)

when;

x = a, and y = b

f = (2abi + 3bj)

The work done the applied force is the product of force and displacement of the object.

W = fΔs

where;

Δx = a - a = 0

Δy = 0 - b = -b

Δs = √(Δx² + Δy²)

Δs = √(-b)²

Δs = b

W = (2abi + 3bj) x b

W = (2ab²i + 3b²j) J

Thus, the work done by the applied force on the object is (2ab²i + 3b²j) J.

The complete question is below;

An object moving in the xy-plane is subjected to the force f = (2xyi + 3yj),  where x and y are in m. The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis. How much work does the force do?

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The work done on an item moving in the xy-plane that is subjected to a particular force is found as (2ab²i + 3b²j) J.

Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

Work may be zero, positive, and negative.it depends on the direction of the body displaced. if the body is displaced in the same direction of the force, it will be positive.

The given data in the problem is;

F is the force applied;  f⃗ = (2xyi + 3yj)

Work done is found as the product of force and the body displacement;

[tex]\rm W = F \triangle S[/tex]

As the object is moving in the xy- plane. Displacement in the x direction;

[tex]\rm \triangle x = a-a \\\\ \triangle x =0[/tex]

Displacement in the y direction;

[tex]\rm \triangle y = 0-b \\\\ \rm \triangle y = -b \\\\[/tex]

The net displacement in the xy plane is;

[tex]\rm \triangle s= \sqrt{(\triangle x)^2+(\triangle y)^2 } \\\\\ \rm \triangle s= \sqrt{(0)^2+(-b)^2 } \\\\\ \triangle s= \sqrt{b^2} \\\\ \triangle s=b[/tex]

The work done is found as;

[tex]\rm W= F \triangle S \\\\ W=( 2 ab \vec i+3b \vec j) \triangle S\\\\ W= W=( 2 ab \vec i+3b \vec j) b \\\\\ W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]

Hence, the work done on an item moving in the xy-plane will be,[tex]\rm W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]

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Answer:

I believe if red, blue, and green light come together it would produce White light.

Answer:

you get a light white

Explanation:

Answer: atoms that are attracted to each other because the bonds that form between them can support the creation of the structure

Explanation:

Interstellar is a movie about the human race being faced with a

civilization ending blight. A small group of brave individuals explore

possible new habitable worlds for humans. The following questions

will help guide you through the movie and hopefully get you

thinking about the future.

1. The Cooper family hijacks a UAV (Unmanned Aerial Vehicle).

What do you know about UAVs and how they are used today?

2. While at the parent-teacher conference, Murphy’s teacher

mentions that the Apollo program -- the same program that

landed humans on the Moon -- was just propaganda to

convince the Soviet Union to bankrupt themselves trying to do

the same. The reason for this was to encourage children to

take care of their own planet, rather than wasting precious

resources day dreaming of leaving it. Which side of the fence

would you sit on? Would you look for ways to save Earth and

our ability to stay there, or would you look to the sky, and find

a new planet to live on? Why?

3. A) What natural disaster(s) is Earth suffering from in the beginning of Interstellar?

B) If one of these happened now what actions would you take to protect yourself?

4. Cooper, Doyle, Romilly, and Dr. Brand (female) rendezvous with the Endurance in orbit around Earth. Once

onboard, they begin to spin the Endurance. Why? (Think about the physics happening here!) Draw a diagram.

5. Why or why isn’t space exploration important for the people in the movie interstellar? Why or why isn’t

space exploration important in today’s society? Defend your answers.

6. Explain time dilation as best as you can.

7. A) Estimate how long Dr. Mann went without human contact while on the ice planet:

The Lazarus mission was __________ years ago. It takes _______ years to get to Saturn from Earth. Cooper

and Dr. Brand were on Miller’s planet for approximately __________ years. This means the total time Dr.

Mann went without human contact is: ___________ years.

B) Consider the longest time away from human contact you've experienced. What did you do to keep yourself

occupied?

Useful Vocabulary

Blight: A specific symptom affecting plants in

response to infection by a pathogenic organism. The

potato famine of Ireland was caused by blight.

Event horizon: Is a point in which not even light can

escape the gravitational influence of the black hole.

Maroon: The intentional action of leaving someone

in a remote area such as an inhabitable island.

Rendezvous: When two objects meet and typically

dock together while in space.

Time dilation: A difference of elapsed time between

two events as measured by observers either moving

relative to each other or differently situated from

gravitational masses.

UAV: Unmanned Aerial Vehicles are remote

controlled or autonomous flying vehicles.

Unmanned aerial vehicles (UAVs) are typically used for a variety of purposes such as:

An unmanned aerial vehicle (UAV) is also referred to as a drone and it can be defined as an aircraft that is designed and developed to be piloted or controlled by a remote control (ground-based controller) and on-board computer systems.

This ultimately implies that, an unmanned aerial vehicle (UAV) is a class of aircrafts that can fly without any human pilot, cabin crew, or passengers on board.

In conclusion, unmanned aerial vehicles (UAVs) carries no human pilot and are typically used for a variety of purposes such as:

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Answer:

I am not sure in regards to other countries but USA let's anyone allow to take fried chicken.

Explanation:

Yes, the Transportation Security Administration (TSA) will allow you to bring fried chicken through airport security in your carry-on baggage. You can bring both homemade and takeout fried chicken through the TSA checkpoint. If the fried chicken isn’t already pre-packaged, it should be wrapped or placed in a resealable bag or container with a secure lid. There is no limit to the quantity of fried chicken you can bring in your carry-on: You can pack as much fried chicken as you’d like and will fit into your allowable hand luggage.

Answer: 10 cm

Explanation:

[tex]$$The focal length is: \\ \\ \begin{aligned}f &=\frac{R}{2} \\&=-\frac{46}{2} \\f &=-20 \mathrm{~cm}\end{aligned}$$[/tex]

[tex]$$ Since the image is virtual: \\ \\ :\begin{aligned}\frac{v}{u} &=m \\\Rightarrow & v=m u \\\Rightarrow &v=2 u\end{aligned}$$[/tex]

[tex]$$ Using: \\ \\ \begin{aligned}&\frac{1}{l}=\frac{1}{v}+\frac{1}{u} \\&\frac{1}{20}=-\frac{1}{2 u}+\frac{1}{u} \\&\frac{1}{2 u}=\frac{1}{-20} \\&\Rightarrow u=-10 \\&\therefore u=10 \mathrm{~cm}\end{aligned}$$[/tex]

Therefore, you must be 10 cm away from the mirror so that your virtual image is twice the size of your actual face

Answer:

B. 87 km/h

Explanation:

We can find the average speed by using the relationship between speed, distance, and time.

Distance = Speed * Time

Reaarange this to obtain:

Speed = Distance/Time

Speed = (85+45)/1.5

Speed = 87 km/h

Answer:

L1 F1 = L2 F2   explains balancing torques

F1 = load = counterclockwise torque

F2 = applied force - clockwise torque

L represents distances from fulcrum to the applied forces

F2 = F1 * (L1 / L2)                (I)

MA mechanical advantage = (L2 / L1)     load over applied force

We can rewrite equation (I) as

load force / applied force = applied distance / load distance

As the fulcrum is moved closer to the load L1 decreases and L2 increases which corresponds to an increase in MA

Explanation:

No need to calculate the force you can just find by Hookes law

Hookes law states that

Where

So

force remains negative as per it

Option B

The reflected ray of a ray of light that makes an angle of 25° with the normal to a plane mirror and its is turned through 60°, making the angle of incidence to be 31° is rotated through 12°.

Freflection can be defined as the turning back of a ray of light when its strikes a plane's surface.

There are 2 laws of reflection

(1) The first law of reflection states that the incident ray the reflected ray and the normal all at the point of incidence lie in the same plane

(2) The second law of reflection states that the angle of incident is equal to the angle of reflection.

From the question, if the incidence ray is rotated through 6°, then the  reflected ray is rotated through 12°

Hence, The reflected ray is rotated through 12°.

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The reflection resulting in a 31° angle of incidence and the angle is the reflected ray rotated will be 12°

The law of reflection specifies that upon reflection from a downy surface, the slope of the reflected ray is similar to the slope of the incident ray.

The reflected ray is consistently in the plane determined by the incident ray and perpendicular to the surface at the point of reference of the incident ray.

When the light rays descend on the smooth surface, the angle of reflection is similar to the angle of incidence, also the incident ray, the reflected ray, and the normal to the surface all lie in a similar plane.

As a result, the reflected light is rotated by 12°.

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The total resistance and current flowing through the circuit is equal to 60 Ohms and 2 Amperes respectively.

Given the following data:

Resistors = 20 Ohms.

Voltage = 120 Volts.

Since the three resistors are connected in series, we would calculate their total resistance by adding them up as follows:

RT = R1 + R2 + R3

RT = 20 + 20 + 20

RT = 60 Ohms.

Next, we would determine the current that is flowing through the circuit by applying Ohm's law.

From Ohm's law, we have:

V = IR

I = V/R

I = 120/60

I = 2 Amperes.

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The magnitude of the angular momentum of the rod immediately after the collision is given as (pf + pi) * d. (Option A).

Angular Momentum may be defined or described as the vector quantity of the rotation of a body, which is arrived at by multiplying its moment of inertia by its angular velocity.

The formula for Angular Momentum is given as:

L = mvr; Where

L = Angular Momentum

m = mass

v = velocity; and

r = radius.

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[tex]\rm( P_f+P_i)d[/tex] is the magnitude of the rod's angular momentum immediately after the contact. Option A is correct.

Angular Momentum may be defined as the vector quantity of a body's rotation, which is calculated by multiplying its moment of inertia by its angular velocity.

The Angular Momentum formula is as follows:

[tex]\rm L=I\omega[/tex]

[tex]\rm L = mvr[/tex]

Where,

L is the angular momentum

m stands for mass.

v stands for velocity, and

r stands for radius.

Hence option A is correct.

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Answer:

Wavelength = 3.74 m

Explanation:

In order to find wavelength in "metres", we must first convert megahertz to hertz.

1 MHz = 1 × 10⁶ Hz

80.3 Mhz = x

x = 80.3 × 1 × 10⁶ = 8.03 × 10⁷ Hz

The formula between wave speed, frequency and wavelength is:

v = fλ  [where v is wave speed, f is frequency and λ is wavelength]

Reorganise the equation and make λ the subject.

λ = v ÷ f

λ = (3 × 10⁸) ÷ (8.03 × 10⁷)

λ = 3.74 m [rounded to 3 significant figures]

The type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.

A parallel circuit has branches that split the current such that just a portion of it passes through each branch.

The voltage or potential difference between each branch of a parallel circuit is the same, but the currents might differ.

A parallel circuit is having more than one path in order to reach it on time he has to take a different path.

Hence the type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.

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Answer:

C) a parallel circuit because there is more than one path

Explanation: edge

Answer:

B released when a nucleaus splits

Answer:

the Moon is smaller in diameter than the United States

however. The United States is 2,545 km / 1,582 mi from north to south, and thus, the Moon is smaller across than the United States is wide.

Answer:

The moon is smaller than the earth.

Explanation:

Moon's Diameter is 2,159.1 mi

Earth's Diameter is 7,917.5 mi

The rate of climb of the aircraft in a steady climb making a 10 degree angle with the horizontal is : 17.36 knots

Given data

Airspeed = 100 knots

Angle with the horizontal ( ∅ ) = 10°

we will apply the formula below

Vy ( rate of climb ) = Airspeed * sin ∅

                              = 100 * sin ( 10 )

                              = 17.36 Knots

Hence we can conclude that rate of climb of the aircraft in a steady climb is : 17.36 knots.

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The speed of the brick dropped by the builder as it hits the ground is 17.32m/s.

Given the data in the question;

Since the brick was initially at rest before it was dropped,

Final speed of brick as it hits the ground; [tex]v = \ ?[/tex]

velocity is simply the same as the speed at which a particle or object moves. It is the rate of change of position of an object or particle with respect to time. As expressed in the Third Equation of Motion:

[tex]v^2 = u^2 + 2gh[/tex]

Where v is final velocity, u is initial velocity, h is its height or distance from ground and g is gravitational field strength.

To determine the speed of the brick as it hits the ground, we substitute our giving values into the expression above.

[tex]v^2 = u^2 + 2gh\\\\v^2 = 0 + ( 2\ *\ 10m/s^2\ *\ 15m)\\\\v^2 = 300m^2/s^2\\\\v = \sqrt{300m^2/s^2}\\ \\v = 17.32m/s[/tex]

Therefore, the speed of the brick dropped by the builder as it hits the ground is 17.32m/s.

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Answer:

a

Explanation:

Answer:

(B) Probably - Pitch will appear to be lower than the source

Pitch differences occur because of relative motions between the source and observer - it does not depend on distance measurements

Answer:

(B) Probably - Pitch will appear to be lower than the source

Pitch differences occur because of relative motions between the source and observer - it does not depend on distance measurements

Explanation: