How can I show that the sphere of radius R performs a simple harmonic movement. how can i set its reference point and make the free body diagram.

I have the torque sum equation which is equal to the moment of inertia by angular acceleration

Answer:

x = 0.5 = 50%

Explanation:

The quality of a water liquid-vapor mixture can be defined as the fraction of water vapor present in the water liquid-vapor mixture. Therefore, it can be calculated by the use of the following formula:

\(x = \frac{m_{vap}}{m}\)

where,

x = quality = ?

m_vap = mass of saturated water vapor = 0.5 kg

m = total mass = mass of saturated vapor + mass of saturated liquid

m = 0.5 kg + 0.5 kg = 1 kg

Therefore,

\(x = \frac{0.5\ kg}{1\ kg}\)

x = 0.5 = 50%

24 volts is the voltage drop across each of the resistors in the parallel configuration.

When resistors are connected in parallel, they share the same voltage across them. Therefore, the voltage drop across each resistor in this scenario would be the same.

Given:

Power supply voltage (V) = 12 V

Resistance of each resistor (R) = 30 Ω

Since the resistors are in parallel, the total resistance (R_total) can be calculated using the formula:

1/R_total = 1/R1 + 1/R2

Substituting the values:

1/R_total = 1/30 Ω + 1/30 Ω

1/R_total = 2/30 Ω

R_total = 15 Ω

Now, we can find the current flowing through the resistors (I) using Ohm's Law:

I = V / R_total

I = 12 V / 15 Ω

I = 0.8 A

Since the voltage drop across each resistor is the same, we can find it using Ohm's Law:

V_drop = I * R

V_drop = 0.8 A * 30 Ω

V_drop = 24 V

Therefore, the voltage drop across each of the resistors in the parallel configuration is 24 volts.

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Answer:

a) True. The battery obeys ohm's law, it is formed by an ideal source with a fixed internal resistance

c) True. Ohm's law is V = iR therefore voltage and current are proportional

Explanation:

In this problem let's analyze the load of the system, when a resistance is placed the current is 80 mA, if we place two resistors in parallel the voltage remains the same, but the current is divided between each resistance (bulb), therefore the current in the battery it must be 160 mA

Let's analyze the answers

a) True. The battery obeys ohm's law, it is formed by an ideal source with a fixed internal resistance

b) false

c) True. Ohm's law is V = iR therefore voltage and current are proportional

d) False

e) False. The current coming out of the battery is proportional to the load placed

Two factors that determine the amount of electricity that can be generated by an individual hydroelectric power plants - It depends on the vertical distance through which the water falls and the flow rate, or amount of water that flows past a certain point per unit time, The greater the distance that the water falls, the more potential energy it had and the more electricity is generated the more kinetic energy it has and the more .

Impoundment, diversion, and pumped storage facilities are the three different types of hydroelectric facilities. Hydropower plants vary in their utilisation of dams. Despite the fact that not all dams were constructed for hydropower, they have been successful in supplying vast amounts of renewable energy to the grid. As of 2020, fewer than 2,300 of the more than 90,000 dams in the United States were producing electricity. The other dams are utilised for water supply, irrigation, flood control, stock/farm ponds, and recreation. Hydropower facilities come in a variety of sizes, from modest initiatives providing electricity for a single house or community to massive undertakings. 

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Answer:

Therefore, the force acting on the object is 10 Newtons (N).

Explanation:

The force acting on an object can be calculated using the formula:

force = mass x acceleration

where "mass" is the mass of the object, and "acceleration" is the rate at which the object's velocity is changing.

In this case, the mass of the object is 2 kilograms, and the acceleration is 5 m/s^2. Plugging these values into the formula gives:

force = mass x acceleration

force = 2 kg x 5 m/s^2

force = 10 N

Therefore, the force acting on the object is 10 Newtons (N).

Answer:

Explanation:

E d g e n u i t y 2020

Answer:

The answer is B. A CD

Explanation:

projectile's vertical speed v yv y v, start , y,  drops prior to reaching its maximum height since its acceleration is in the opposite direction. Since the object's height is rising, the initial direction of the velocity is upward

.

At the projectile's highest point, vertical velocity zeroes out. After reaching the highest point, the vertical speed increases due of the same-direction acceleration. As the object's height lowers, the vertical velocity has a downward direction.

In projectile The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.

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The density of water is approximately 1 g/cm^3. Therefore, the volume of 2800 g of water would be 2800 cm^3 because density is mass/volume, and so volume is mass/density.

Since this volume is inside a cubic box, the length of each side of the cube (a, for instance) could be found by taking the cubic root of the volume. This is because the volume of a cube is calculated by a^3 (length of one side cubed). Hence, a = cube root of 2800 cm^3 ≈ 14.1 cm.

Converting centimeters to meters (as 1 meter is equal to 100 centimeters), we get approximately 0.141 meters.

So the filled cubic box has a side length of approximately 0.141 m.

The final velocity of the cars if they stick together is 1.36 m/s.

The final velocity of the cars if they  stick together is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

where;

1200(15 cos60) - 1000(6 x cos0) = v (1200 + 1000)

3000 = 2200v

v = 3000/2200

v = 1.36 m/s East of south.

Thus, The final velocity of the cars if they  stick together is 1.36 m/s.

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(1) The atomic mass of the new atom is 220.

(2) The atomic number of the new atom is 86

(3) The symbol of the new atom is Rn

(4) The type of decay demonstrated is alpha decay.

Nuclear Reactions are processes in which one or more nuclides are produced from a collision between two nuclei or one nucleus and a subatomic particle.

Alpha decay occurs in the nuclei of heavy elements, like radium, uranium, thorium.

When a nucleus of Ra (radium) decays, it emits an alpha particle and becomes an Rn (radon) nucleus.

The nuclear reaction equation is given as;

\(^{224}_{88}Ra ----- > ^4_2He \ +\ ^A_ZX\)

where;

The atomic number of the new atom is calculated as;

Z = 88 - 2 = 86

The atomic mass of the new atom is calculated as;

A = 224 - 4 = 220

An atom corresponding to atomic number of 86 = radon

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The velocity of the car along east direction  must be 34.94 m/s.

In physics momentum of any object can be defined as product of velocity and mass. As velocity is a vector quantity, momentum is also a vector quantity. So, to define momentum both magnitude and direction are required.  SI unit of momentum is kg-m/s.

Mass of the car = 1370 kg.

Mass of the   pickup truck a = 2280 kg

Momentum of the  pickup truck along east = 2280 kg × 21 m/s

= 47880 kg-m/s.

Hence, velocity of the car along east direction = (47880/1370) m/s

= 34.94 m/s.

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When a positive scaler is multiplied by a vector changes only the magnitude of vector but not the direction of the vector. Therefore, option (4) is correct.

Answer:

P=IV is the formula you can use for electricity.

Explanation:

P - Power, I - Current, V - Voltage  

What you are asking in your question can be broken down a system that has the power can move /work 550 joules per second.  Taken from an electricity point of view, a 550W light bulb can drive a current of 550 amperes with a potential difference of 1 Volt

Scientists seek to acquire knowledge and understanding of the real world through the formulation, testing, and evaluation of scientific hypotheses (Option C).

Scientific hypotheses are explanations about questions of the real world that can be used to test them by using the scientific method, i.e., by testing them to confirm or reject their assumptions through experimental and observation procedures.

Therefore, with this data, we can see that a scientific hypothesis is formulated and tested by using the scientific method in order to confirm or reject its assumptions and thus build scientific knowledge.

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Answer:

Scientific hypothesis

Explanation:

Answer:

Explanation:

Wavelength = 100m. Speed = V. 2.) Frequency = 20 Hz. Wavelength = 200 m. Speed = ... 2=1.7m. F=Y/2 f=2×10. 5.) Wavelength = 502 km. Speed= 100 m/s.

Answer:

The angle at which a turn should be banked depends on the speed of the vehicle, the radius of the turn, and the acceleration due to gravity. To calculate the angle, we can use the following formula:

tanθ = v^2 / (g * r)

where

θ is the angle at which the turn should be banked (in radians)

v is the speed of the vehicle (in m/s)

g is the acceleration due to gravity (approximately 9.81 m/s^2)

r is the radius of the turn (in meters)

Plugging in the values given in the problem, we get:

tanθ = (25 m/s)^2 / (9.81 m/s^2 * 100 m)

tanθ = 6.44

Taking the inverse tangent of both sides, we get:

θ = tan^-1(6.44)

θ ≈ 80.5 degrees

Therefore, the turn should be banked at an angle of approximately 80.5 degrees.

Answer:

The thermal energy is carried by electromagnetic waves

Explanation:

There are three types of transfer of heat (thermal energy):

- Conduction: conduction occurs when two objects/two substances are in contact with each other. The heat is transferred from the hotter object to the colder object by the collisions between the molecules of the two mediums.

- Convection: convection occurs when a fluid is heated by an external source of heat. The part of the fluid closer to the heat source gets warmer, therefore it becomes less dense and it rises, and it is replaced by the colder part of the fluid, which is colder. Then, this part of fluid is heated as well, so it gets warmer, it rises, etc.. in a cycle.

- Radiation: radiation occurs when thermal energy is carried by electromagnetic waves. Since electromagnetic waves do not need a medium to propagate, this is the only method of heat transfer that can occur through a vacuum (so, in space as well).

Indeed, the Sun emits a lot of electromagnetic radiation, which travels through space and eventually reaches the Earth, heating it.

Explanation:

The mass of the object is approximately 0.457 kg.

The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.

Using the momentum equation, the mass of the object can be calculated as follows:

Total momentum before collision = Total momentum after collision

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

Solving for the mass of the object, we get:

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object

0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object

0.32 kg = 0.70 kg * mass of the object

Dividing both sides by 0.70 kg, we find:

mass of the object = 0.32 kg / 0.70 kg = 0.457 kg

The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.

After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.

In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.

Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.

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An item at rest will remain at rest, and an object in motion will continue to move in a straight path at a constant speed, according to the first law of motion, commonly known as the law of inertia.

Newton's laws of motion govern how a baseball moves as a result of being thrown or struck. According to Newton's first law, a moving ball will continue to move in a straight line until other forces are acting on it.

The ball is severely distorted by the enormous force the bat applies to it ball being struck. The average force acting during the bat-ball collision is therefore about two tons, with a peak force of nearly four tons, during the 0.7 millisecond contact time. There's a lot of force there!

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when water in a metal pot is heated over a campfire. Primarily, by means of convection energy transfer is thermal energy moved from the fire to the bottom of the pot

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

Thermal energy can flow by different means such as conduction, convection, and radiation.

As given in the problem when water in a metal pot is heated over a campfire. The energy we receive around the campfire is mostly due to the effect of the radiation of the heat but the Primary means of energy transfer is thermal energy moved from the fire to the bottom of the pot because of the convection.

Thus, when water is heated in a metal pot over a campfire. Thermal energy is primarily transferred from the fire to the bottom of the pot through convection.

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Answer:

When you turn on a cell phone, chemical energy from the battery is converted into electrical energy, which powers the various components of the phone. This electrical energy can be converted into other forms of energy, such as heat or light, depending on how the phone is being used.

Answer:

the war of currents is

Explanation:

The war of currents was a series of events surrounding the introduction of competing electric power transmission systems in the late 1880s and early 1890s.

Answer:

a series of events surrounding the introduction of competing electric power transmission systems in the late 1880s and early 1890s

Explanation:

Answer:204.2

Explanation:

F = 375 N

M = 45 KG

T = 7 SECONDS

U = 0

S = ?

F = ma

a = F/M

= 8.33m/s

from second equation of motion

s = ut + 1/2at^2

S = 204.166....

Answer:

\(-18.43^{\circ}\)

Explanation:

Let \(\theta\) be the polar angle of −3i + j. We can find it using the formula as follows :

\(\tan\theta=\dfrac{y}{x}\\\\\tan\theta=\dfrac{1}{-3}\\\\\theta=\tan^{-1}(\dfrac{1}{-3})\\\\\theta=-18.43^{\circ}\)

So, the required polar angle is \(-18.43^{\circ}\).

Options e, A jogger maintains a constant speed around the boundaries of a rectangular field. The jogger's acceleration is never zero.

An object's acceleration is a measurement of how quickly its velocity changes.

The jogger's acceleration is not zero since they are altering their velocity every time they get to a corner of the rectangular field. This is referred to as centripetal acceleration and is the acceleration necessary to maintain an object's circular motion at a constant speed.

Although the jogger's pace is constant, their direction is changing, which causes a change in their velocity, which in turn causes a change in their acceleration.

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A stiff wire bent into a semicircle of radius a = 1.4 cm. The frequency is 30 Hertz and the amplitude of the emf induced in the loop is 1.16 x 10⁻³ V

Formula for the angular frequency is:

ω = 2πf

Where:

ω = angular frequency (rad/s)

f = frequency (Hertz)

In the given problem,

ω = 30 rev/sec = 30 x 2π rad/s

a) f = ω / 2π

f = 30 x 2π / 2π = 30 Hertz

b) The induced emf is:

ε = Bπ²a²f sin(ωt)

Where:

B = magnetic field

a = radius

In the given problem,

B = 20 x 10⁻³ T

a = 1.4 x 10⁻² m

Hence, the amplitude or the maximum emf is:

ε_max = Bπ²a²f

           = (20 x 10⁻³) π² (1.4 x 10⁻²)² (30) = 1.16 x 10⁻³ Volt

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Explanation:

Recall the equation for time is distance divided by speed. Here you can use that to solve for "t".

These two dark fringes will travel in closer proximity if the slit's width is increased for a Constants A film has just one a-width tiny slit. When this slit is open, monochromatic light enters.

The relationship between the slit width and the distance from the centre maximum to y is (m*(lamda)*D/a, where D is the separation between the slit and the screen and lamda is the wavelength of light, meaning that y is inversely proportional to 1/a. Therefore, monochromatic light is simply light of a single colour. It denotes light that has only one wavelength in scientific terminology. The term "light" refers to the visible and near-visible components of electromagnetic radiation. It is made up of propagating, perpendicularly oscillating sinusoidal waves in the magnetic and electric fields.

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