a dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15 rpm in 13.0 s . assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 560 kg , and two children (each with a mass of 25 kg ) sit opposite each other on the edge.

Answer:

Total momentum = 16 Kgm/s

Explanation:

Let the momentum of the two balls be A and B respectively.

Momentum A = 16 kgm/s

Momentum B = 0 kgm/s (since the ball is at rest).

Total momentum = A + B

Total momentum = 16 + 0

Total momentum = 16 Kgm/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

\( Momentum = mass * velocity \)

Total momentum of both the balls after the collision is 16 Kg.m/s

Given:

Momentum= 16 kg.m/s

To find:

Total momentum of both the balls after the collision.

What is momentum?

 Consider the momentum of the two balls be A and B respectively.

Momentum A = 16 kg.m/s

Momentum B = 0 kg.m/s (since the ball is at rest).

Total momentum = A + B

⇒ 16 + 0

Total momentum= 16 kg.m/s

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Answer:

decomposition reaction

Explanation:

decomposition reactions occurs when one substance breaks down, or decomposes, into two or more substances

Potential energy of the ball before it was released is  15.1 Joule. Hence, option (C) is correct

Energy, which is observable in the execution of labour as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.

Energy is a preserved resource; energy can only be transformed from one form to another and cannot be created or destroyed.

From the law of conservation of energy:

Potential energy before released = kinetic energy during impact

Hence, Potential energy before released  = 1/2 × 1 × 5.50² Joule

= 15.1 Joule.

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The initial acceleration of proton and electron is 3.45 x 10¹⁸ m/s² and 6.33 x 10²¹ respectively.

The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.

F = kq₁q₂/r²

where k = 9 x 10⁹ N.m²/C²

Given is the charge on proton and electron  is q =1.6 x 10⁻¹⁹ C, distance r =2 x 10⁻¹⁰m , then the force will be

F = k q²/r²                          

Substituting the above values in the formula, we get the electrostatic force,

F = (9 x 10⁹) (1.6 x 10⁻¹⁹)²/(2 x 10⁻¹⁰)²    

F = 5.76 x 10⁻⁹ N

The acceleration of electron when both proton and electron released is

acceleration =  electrostatic force / mass of electron

Putting the values, we have initial acceleration of electron

a = (5.76 x 10⁻⁹)/(9.1 x 10⁻³¹)

a = 6.33 x 10²¹ m/s²

The acceleration of proton is due to the electrostatic force of attraction between proton and electron is given by

acceleration =  electrostatic force / mass of proton

inserting the values, we get the initial acceleration

a '= (5.76 x 10⁻⁹)/( 1.67 x 10⁻²⁷)

a'= 3.45 x 10¹⁸ m/s²

Thus, initial acceleration of proton and electron is 3.45 x 10¹⁸ m/s² and 6.33 x 10²¹ respectively.

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Speed of the Cylinder after it has descended = 3.675m/s

A fundamental principle of physics and chemistry stating that despite internal changes, the overall energy of an isolated system remains constant. The first law of thermodynamics, which is most usually phrased as "energy cannot be created or destroyed," is based on this fundamental idea.

According to the given information

Inertia of gear \($A=10^*(0.125)^{\wedge} 2=0.15625$\)

Inertia of gear \($B=30^*(0.15)^{\wedge} 2=0.675$\)

Let the speed of cylinder be \($\mathrm{v}$\)

angular speed of block \($\mathrm{C}=\mathrm{v} / 0.1 \mathrm{~m} / \mathrm{sec}=10 \mathrm{v}$\)

angular speed of \($\mathrm{A}=(\mathrm{v} / 0.1) * 0.2 / 0.15=13.33 \mathrm{v}$\)

Conserving energy

\($50 * 9.81^* 2=0.5\left(50^* \mathrm{v}^{\wedge} 2+0.15625^*(13.3 \mathrm{v})^{\wedge} 2+0.675^*(10 \mathrm{v})^{\wedge} 2\right)$\)

So,

\($50 * 9.81^* 2=0.5\left(50^* \mathrm{v}^{\wedge} 2+0.15625^*(13.3 \mathrm{v})^{\wedge} 2+0.675^*(10 \mathrm{v})^{\wedge} 2\right)$\)

So,

Speed of the Cylinder after it has descended = 3.675m/s

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ANSWER:

(a) 0.100 m^3

STEP-BY-STEP EXPLANATION:

We have that the force is equal to mass times gravity, therefore, we can calculate the mass, because the difference in force would be the volume of the stone.

Therefore

Now, we know that the density is equal to the quotient between the mass and the volume, therefore we can calculate the volume like this:

Therefore the volume of the piece is 0.100 cubic meters.

Total resultant velocity=5.11-3.27=1.84m/s

\(\\ \sf\longmapsto ∆P=P\)

\(\\ \sf\longmapsto m_1v_1=m_2v_2\)

\(\\ \sf\longmapsto v_2=\dfrac{m_1v_1}{m_2}\)

\(\\ \sf\longmapsto v_2=\dfrac{61.4(1.84)}{109}\)

\(\\ \sf\longmapsto v_2=112.976/109\)

\(\\ \sf\longmapsto v_2\approx 1.3m/s\)

The velocity of the plane and the pilot before the pilot jumps is 0.25 m/s.

The given parameters;

The velocity of the plane and the pilot before the pilot jumps is calculated by applying the principle of conservation of linear momentum for inelastic collision as follows;

\(m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\61.4(-5.11) \ + \ 109(3.27) = v(61.4 + 109)\\\\42.68 = v(170.4)\\\\v = \frac{42.68}{170.4} \\\\v = 0.25 \ m/s\)

Thus, the velocity of the plane and the pilot before the pilot jumps is 0.25 m/s.

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For a frictionless pulley with mass connected by a light string, the acceleration for the system when released is equal to 6.5m/s²

Using the formula a = (m₂ - m₁)g/(m₁ + m₂)

Where a = acceleration, m = mass and g = gravity

m₁  = 2kg

m₂ = 10kg

g = 9.8m/s²

Applying to the formula, a = (m₂ - m₁)g/(m₁ + m₂) to find the acceleration of a frictionless pulley when released;

a = (10 - 2)(9.8)/(2 + 10)

a = 8(9.8)/12

a = 6.5m/s²

Therefore the system's acceleration 6.5m/s²

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The restraining force is required to hold a man with a mass of 80 kg to the ground just before he is released is 2,716 N.

The total force required to hold down the man of the given weight is calculated as follows;

Force of bungee = Weight + Restraining Force

F = W + Rf

Rf = F - W

F = (35 x 100) - (80 x 9.8)

F = 2,716 N

Thus, the restraining force is required to hold a man with a mass of 80 kg to the ground just before he is released is 2,716 N.

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Given:

The mass of the system is m' =m/2

The net force acting on it is F' = 2F

To find the acceleration.

Explanation:

The acceleration will be

Thus, the acceleration would be quadrupled(x4).

Answer:

So, that if you put 100 mL of 30 degree water in a beaker, you could add up to 220 grams of sugar and it would eventually dissolve. In other words, that mass of sugar should dissolve in 100 mL of water to make a solution that is just saturated.

The solubility of sugar is 30° C at 220. This means 220g of sugar is dissolved in 100g of solvent to make the saturated solution at 30° C. Solutions.

Most frequently, the solubility is represented in terms of mass per volume of water. Solubilities are frequently stated as g/100 mL, g/100 g, or g/L of water.

The ratio you provided is probably 1 g of sugar to 100 mL of water. In other words, if you put 100 mL of water at 30 degrees in a beaker, you could add up to 220 grams of sugar, and it would finally dissolve.

To generate a solution that is just saturated, the mass of sugar should dissolve in 100 mL of water.

Therefore, at 220 degrees, sugar dissolves at 30 degrees. This indicates that to create the saturated solution at 30° C, 220g of sugar must be dissolved in 100g of solvent.

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The length of a simple pendulum is 0.760 m, the pendulum bob has a mass of 365 grams, and it is released at an angle of 12.0 degree to the vertical. The frequency of vibration is approximately 0.364 Hz. The speed of the pendulum bob at the lowest point is not directly provided in the given information, but the total energy stored in the oscillation is approximately 0.394 J.

To determine the frequency of vibration, speed at the lowest point, and total energy stored in the oscillation of the pendulum, we can use the given information and formulas related to pendulum motion.

Given:

Length of the pendulum (L) = 0.760 m

Mass of the pendulum bob (m) = 365 grams = 0.365 kg

Angle to the vertical (θ) = 12.0 degrees

   Frequency of Vibration:

   The frequency of vibration (f) of a simple pendulum can be calculated using the formula:

f = 1 / T

where T is the period of oscillation. The period can be determined using the formula:

T = 2π√(L/g)

where g is the acceleration due to gravity (approximately 9.8 m/s^2).

Plugging in the values:

T = 2π√(0.760 m / 9.8 m/s^2)

T ≈ 2.746 seconds

Now, calculating the frequency:

f = 1 / 2.746 seconds

f ≈ 0.364 Hz

Therefore, the frequency of vibration is approximately 0.364 Hz.

   Speed at the Lowest Point:

   The speed (v) of the pendulum bob at the lowest point of its swing can be determined using the conservation of mechanical energy. At the lowest point, all of the potential energy is converted into kinetic energy.

The potential energy at the highest point (when the pendulum is released) is given by:

PE = mgh

where h is the vertical distance from the highest point to the lowest point.

Since the pendulum bob is released at an angle of 12.0 degrees to the vertical, the vertical distance is h = L(1 - cos θ), where θ is the angle.

Plugging in the values:

h = 0.760 m(1 - cos 12.0 degrees)

h ≈ 0.056 m

PE = (0.365 kg)(9.8 m/s^2)(0.056 m)

PE ≈ 0.197 J

The kinetic energy (KE) at the lowest point is equal to the potential energy:

KE = 0.197 J

The total mechanical energy (E) is the sum of potential and kinetic energy:

E = PE + KE

E = 0.197 J + 0.197 J

E ≈ 0.394 J

Therefore, the speed of the pendulum bob at the lowest point is not directly provided in the given information, but the total energy stored in the oscillation is approximately 0.394 J.

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Answer:

neap tide i think or high tide

Ammonia crystals that have been frozen make up the majority of Jupiter and Saturn's clouds. Methane makes up the clouds on Uranus and Neptune. The composition of the clouds is determined by these worlds' temperatures.

At any given altitude, Saturn's atmosphere is colder than Jupiter's, hence the different cloud layers are located further into Saturn's atmosphere. However, methane cannot condense in the warmer troposphere, only in the extremely cold upper troposphere of Uranus and Neptune.

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Answer: longitudinal wave in which the particles of the wave move in a direction parallel to the wave motion

The sound wave is a longitudinal wave in which the particles of the wave move in a direction parallel to the wave motion.

A sound wave can be described as the pattern of distribution caused by the movement of energy that is traveling through a medium, such as air, water, or any liquid or solid matter, etc, as it is traveling away from the source of the sound. There are two types of sound waves:

Longitudinal wave: When the particles of the medium move in a direction parallel to the direction that the wave moves then the wave is known as the longitudinal wave.

Transverse Wave: When the particles of the medium move in a direction perpendicular to the direction that the wave moves then the wave are known as the transverse wave.

As it is given that the sound wave formed by the speaker travels through the air to your ear as a series of compressions and rarefactions of air molecules, therefore, the particles of the medium move in a direction parallel to the direction that the wave.

Hence, the sound wave is a longitudinal wave in which the particles of the wave move in a direction parallel to the wave motion.

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Answer:

Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.

Explanation:

When a beam of 11 keV X-rays illuminates a sample, the angles that will produce diffraction maxima of the first, second, and third order can be calculated using Bragg's law, which states that nλ = 2d sin(θ), where n is the order of diffraction, λ is the wavelength of the X-rays, d is the spacing between crystal lattice planes, and θ is the angle of incidence.

Bragg's law can be used to calculate the angles for diffraction maxima. For the first-order maximum (n = 1), we have λ = 2d sin(θ₁). Rearranging the equation, we get sin(θ₁) = λ / (2d). Substituting the values, with λ representing the wavelength of 11 keV X-rays (which can be converted to the corresponding wavelength), and the known spacing between lattice planes, we can solve for θ₁.

For the second-order maximum (n = 2), the equation becomes λ = 2d sin(θ₂). Solving for sin(θ₂) and substituting the values, we can find θ₂.

Similarly, for the third-order maximum (n = 3), we use λ = 2d sin(θ₃) to determine sin(θ₃) and find θ₃ by substituting the values.

By calculating these angles using Bragg's law, we can determine the angles that will produce diffraction maxima of the first, second, and third order for the given beam of 11 keV X-rays illuminating the sample.

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Answer:

3s is longer

2s is shorter

Explanation:

A pendulum is made up of a ball which is referred to as a mass attached to a string which is usually massless.

A period is one swing of the pendulum over and back.

Two pendulums with the same length but different masses would have the same period

When two pendulums with different lengths, the pendulum with the longer length would have a longer frequency and thus the longer period while the pendulum with the shorter length wold have the shorter period

Answer:

Give me some time okkkk

When a light rain falls after oil and gasoline have leaked onto the road surface, it can cause the car to become less responsive and more difficult to control.

This is because the oil and gasoline act as a slippery layer on the road surface, which reduces the friction between the tires and the road. The rainwater can then mix with the oil and gasoline, making the layer even more slippery and reducing the vehicle's grip on the road.

To help mitigate this issue, drivers should be aware of their surroundings and the potential for slippery surfaces, and should adjust their speed and driving accordingly. Additionally, using tires with greater tread, or using more aggressive tires designed for wet and slippery conditions, can also help increase the vehicle's grip on the road.

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The resistor of the electric lamp is marked at 240 volts and 60 watts is 960 ohms. Thus, option D is correct.

The resistance is a property that gives obstruction the current flow.  It blocks the current flow in the circuit. The unit of resistance is the ohm.    

From the given,

The voltage of the electric lamp (E) = 240 volt

Power in the circuit (P) = 60 watt

Resistance =?

Power (P) = E² / R

R = E²/P

   = 240×240/60

  = 960 Ω

The resistance of the electric lamp with a given voltage and power is 960 Ω. Thus, the ideal solution is D.

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Answer:

160000000 kg.

Explanation:

p=mv

p=1.6x10^9

v=10m/s

rearrange and substitute:

(1.6x10^9)=m(10)

m=(1.6x10^9)/10

m= 1.6x10^8 kg.

To determine the magnitude of the acceleration of the motorcycle, we need to know the force of friction acting on the wheels. The force of friction is equal to the coefficient of friction multiplied by the normal force acting on the wheels, which is equal to the weight of the motorcycle and rider. The weight of the motorcycle and rider can be calculated by multiplying the mass by the acceleration due to gravity (9.8 m/s^2). So, the force of friction acting on the wheels of the motorcycle is equal to 0.88 * 196 kg * 9.8 m/s^2 = 1661.28 N.

The acceleration of the motorcycle is equal to the force of friction divided by the mass of the motorcycle and rider. So, the acceleration of the motorcycle is equal to 1661.28 N / 196 kg = 8.45 m/s^2.

Answer:  8.45 m/s^2

The S.I. unit of E is NC^-1 and that of B is NA^-1 m^-1, then unit of E/B is A m/C (ampere meter per coulomb). This unit represents the ratio between the electric field and the magnetic field, indicating the strength and direction of the electromagnetic field.

The SI unit of electric field (E) is NC^(-1) (newton per coulomb) and the SI unit of magnetic field (B) is NA^(-1) m^(-1) (tesla). To determine the unit of E/B, we need to divide the unit of E by the unit of B.

Dividing the unit of E (NC^(-1)) by the unit of B (NA^(-1) m^(-1)), we can simplify the expression:

E/B = (NC^(-1))/(NA^(-1) m^(-1))

To simplify this expression, we can cancel out the common units in the numerator and denominator:

E/B = (N/C)/(N/(A m))

Now, let's simplify further by dividing the numerator and denominator:

E/B = (N/C) * (A m/N)

Canceling out the common units:

E/B = (A m)/(C)

Therefore, the unit of E/B is A m/C (ampere meter per coulomb).

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Answer:

Zero

Explanation:

When it reaches max height, it stops and begins to fall back down....at this point the velocity = 0

Dual convex lenses follow a set of rules that govern their behavior when light passes through them. These rules include:

1. The incoming light rays are refracted (bent) at the first lens surface, causing them to converge towards the optical axis.

2. The converging light rays then pass through the second lens surface and are refracted again, causing them to diverge away from the optical axis.

3. The point where the refracted light rays converge or diverge is known as the focal point.

4. The distance between the lens and the focal point is known as the focal length.

5. The magnification of the image formed by the lens is determined by the ratio of the distance between the object and the lens (object distance) to the distance between the image and the lens (image distance).

Overall, dual convex lenses are powerful tools for bending and focusing light, and they play a crucial role in many fields, from medicine to astronomy.

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what is meaning of forages

It reduces labor as long as there is a good supply of grasses. Therefore, option B is correct.

Ruminants are unique animals that are classified as such. This indicates that their stomach has four distinct components and is particularly built. The several compartments aid in the digestion of the lignin and cellulose found in the plants they consume. The energy can be converted by cattle in a way that is not possible for humans.

Numerous additional by-products from cattle are also available to us. These include sections of the cow that are utilized to create goods for the house, body, food, and industry. Other than beef, byproducts are goods with added value that come from cattle.

The claim that land for beef cattle may be used for other crops for human use is one that is frequently made. This is not totally accurate, though, as beef cattle live a large portion of their lives on forage-based systems. If not utilized for grazing, forages are often cultivated on land that is unsuitable for other high-value crops and would be regarded as a land of marginal use.

Thus, option B is correct.

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