. A bowling ball rolls without slipping up an inclined plane. At the bottom of the incline, its translational speed is 5 m/s. The bowling ball can be treated as a uniform sphere of mass M, radius R, and moment of inertia I = (2/5)MR2. Assuming that the system includes only the bowling ball, determine whether (a) total mechanical energy, (b) linear momentum, and (c) angular momentum are conserved during this process, and explain why or why not in each case. (d) Apply one of these conservation principles to determine the elevation gain of the ball when it comes momentarily to rest, and explain why your result does not depend on M, R, or the angle of the incline.

The weight of an 18-kg object on Earth is about 176.58 N, and on the Moon, it is approximately 29.16 N.

The weight of an object depends on the gravitational force acting on it. The gravitational force is a function of the mass of the object and the gravitational acceleration of the celestial body it is located on.

On Earth, the gravitational acceleration is approximately 9.81 m/s², whereas on the Moon it is about 1.62 m/s², which means that the gravitational force on the Moon is approximately one-sixth of the force on Earth.

Therefore, to calculate the weight of an 18-kg object on the Moon and on Earth, we can use the formula:

Weight = mass x gravitational acceleration

On Earth:

Weight = 18 kg x 9.81 m/s² ≈ 176.58 N

On the Moon:

Weight = 18 kg x 1.62 m/s² ≈ 29.16 N

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The ratio of time of flight for inelastic collision to elastic collision is 1 : 2.

An inelastic collision is a type of collision in which the kinetic energy does not remain the same before and after the collision, while an elastic collision is a type of collision in which the kinetic energy remains the same before and after the collision.

mass of the bullet, = m₁

mass of the block, = m₂

initial velocity of the bullet, = u₁

initial velocity of the block, = u₂ = 0

final velocity of the block = v

final velocity of the b can be calculated by the formula,

m₁u₁ + m₂u₂ = v ( m₁ + m₂)

v = ( m₁u₁ + m₂u₂ ) / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g )

t = v/g

t = ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)}

final velocity will be given by ,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Since u₂ = 0

m₁u₁ = m₁v₁ + m₂v₂

the block undergoes unidirectional motion,

so u₁ + (-v₁) = u₂ + v₂

v₁ = u₁ - v₂

therefore, m₁u₁ = m₁(u₁ - v₂) + m₂v₂

v₂ = 2m₁u₁ / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g ) ( v=v₂) ( t=t₂)

t₂ = v₂/g

t₂ = 2m₁u₁ / g( m₁ + m₂)

Ratio of t₁ and t₂ is  ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)} / 2m₁u₁ / g( m₁ + m₂)

t₁ : t₂ = 1 : 2.

The question is incomplete, the complete question is:

A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one, where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time

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The herb helpful for respiratory inflammation with discharge, loss of appetite, peptic discomforts, and flatulence is ginger.

Ginger, a commonly used herb, has been found to have various medicinal properties that can provide relief for respiratory inflammation and digestive discomforts. It has anti-inflammatory properties that can help alleviate respiratory symptoms such as discharge and inflammation. Additionally, ginger has been known to aid in reducing peptic discomforts like mild spasms of the GI tract, stomach cramps, feeling of fullness or bloating, and flatulence.

The active compounds in ginger, including gingerols and shogaols, contribute to its therapeutic effects. Ginger can be consumed in various forms, such as fresh ginger root, ginger tea, or ginger supplements, to experience its potential benefits for respiratory and digestive health.

When dealing with respiratory inflammation and digestive discomforts, incorporating ginger into your diet or using it as a natural remedy may provide relief and support overall well-being.

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The probability of the freeman's hit is 0.76 if he hits 38 out of his 50 pithes.

Another meaning of probability is possibility. It is a topic of mathematics that deals with the chances of occurrence of a random event. The value varies from zero to one. Probability is introduced in Maths to predict or estimate how likely events are to happen. The meaning of probability is basically the chances of being successful of an event in a number of trial. This is the basic concept of probability theory. This is also used in the probability distribution, where we learn the possibility of results for a random experiment. To find the probability of an event to occur, first, we should know the total number of possibilities, in favor or in against.

Number of time freeman hits, n = 38

Total number of possibilities( hitting and missing), N = 50

So the probability P would be,  P = 38/50 = 0.76

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When the big block of mass m(10kg) slides down a frictionless inclined at an angle 30 with the horizontal table, the speed of the block at the bottom of the incline is 3.14 m/s.

Given that

Mass of the block, m = 10 kg.

Angle of inclination, θ = 30°

Initial velocity, u = 0.

Frictional force, f = 0.

Using the formula for gravitational force, F = mg

where, g = 9.8 m/s² (acceleration due to gravity)

F = mg= 10 kg × 9.8 m/s²= 98 N

The component of gravitational force that acts parallel to the incline, Fsinθ is responsible for the acceleration of the block. Fsinθ = ma; Where a is the acceleration of the block.

a= (98 N)sin 30° / 10 kg= 4.9 m/s²

Using the formula for speed, v = u + at where,

u = initial velocity = 0m/s

t = time taken = time taken to slide from top to bottom of the incline.= √(2h/g) where,

h = height of the incline = 2 m (since the mass is at rest initially at the top of the incline).

Therefore, t = √(2 × 2 m / 9.8 m/s²)= 0.64 s

Substituting the values in the above formula, v = u + at= 0 + (4.9 m/s² × 0.64 s)= 3.14 m/s.

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Answer: A. by analyzing and making inferences about them

Explanation:

Answer:

by analyzing and making inferences about them

Explanation:

Answer:

See below

Explanation:

x component =  90 cos 45 = 63.6 N

y component =  90 sin 45  = 63.6 N

Hello,

A roller coaster is moving 10 m/s and a mass of 7 kg. The roller coaster has kinetic  energy.

✔ We have : Ek = 1/2m x v²; with Ek in J, m in kg and v in m/s

The velocity of the sailor relative to the aircraft carrier is - 7 m/s.

The velocity of the sailor relative to the aircraft carrier is calculated by applying the principle of relative velocity as shown below.

Vs/c = Vs - Vc

where;

The velocity of the sailor relative to the aircraft carrier is calculated as;

Vs/c = 36 m/s  -  43 m/s

Vs/c = -7 m/s

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The required maximum mass that the beam can bear without slipping is 14.163 kg.

The maximum mass that a 4.0 m long steel beam with a cross-sectional area of 1.0 × 10²m² and a Young's modulus of 2.0 × 10' N/m² can bear without slipping when wedged horizontally between two vertical walls and compressed by 0.020 mm, assuming a coefficient of static friction of 0.70, is calculated as follows,

Force of friction = coefficient of static friction × normal force = Area of beam × Young's modulus × compression

Therefore, the force of friction = 0.70 × (1.0 × 10² m²) × (2.0 x10' N/m²) × 0.020 mm

Maximum mass = (force of friction) / (acceleration due to gravity)

Therefore, the maximum mass that the beam can bear without slipping is (0.70 × (1.0 × 10² m²) × (2.0 × 10' N/m²) × 0.020 mm) / (9.81 m/s²) = 14.163 kg.

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If a star is moved twice as far away, it would appear one-fourth as bright.

The apparent brightness of a star depends on its distance and the inverse square law. According to the inverse square law, the brightness of an object decreases as the square of its distance increases. If a star is moved twice as far away, its distance from the observer would be doubled.

Applying the inverse square law, the brightness would decrease by a factor of four (2^2). This means the star would appear one-fourth as bright as before. The amount of light reaching the observer decreases as the distance increases, leading to a decrease in apparent brightness. Therefore, moving a star twice as far away reduces its apparent brightness to one-fourth of its original value.

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To maintain an exposure level equivalent to f/16 at 1/30 of a second, the new stop should be f/5.6. Due to their inverse relationship, the aperture and shutter speed must be adjusted to account for changes in either one by photographer.

When the shutter speed is increased from 1/30 of a second to 1/500 of a second, the aperture must likewise be changed in order to keep the same exposure level. The amount of light entering the camera, which is managed by the aperture and shutter speed, determines the exposure level. The "exposure triangle" describes the connection between aperture, shutter speed, and exposure. The "reciprocal rule," which dictates that if the shutter speed is increased by a factor of 16, the aperture should be reduced by a factor of 4, should be followed by the photographer in order to maintain the same exposure level. In this instance, the new stop should be f/4 since the photographer wishes to raise the shutter speed from 1/30 to 1/500 while maintaining the same exposure level.

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Answer:

A simple cell can be made by connecting two different metals in contact with an electrolyte

Answer:

2.89 m/s²

Explanation:

From the question given above, the following data were obtained:

Radius (r) = 100 m

Velocity (v) = 17 m/s

Acceleration (a) =.?

The acceleration of a circular motion is defined by:

a = v²/r

Where:

a is the acceleration.

v is the velocity.

r is the radius.

With the above formula, we can obtain the acceleration of the car as follow:

Radius (r) = 100 m

Velocity (v) = 17 m/s

Acceleration (a) =.?

a = v²/r

a = 17²/ 100

a = 289/100

a = 2.89 m/s²

Therefore, the acceleration of the car is 2.89 m/s²

Answer:

the answer is letter b i think

Pls change it if you think my answer is not right ^^

Answer:

300

Explanation:

when the baby are born then they would have 300 bones but when they grow they would have 206 cause when they grow that 94 bones would convert into different kind of proton and energy I guess

Answer:

Although the vast majority of DNA in most eukaryotes is found in the nucleus, some DNA is present within the mitochondria of animals, plants, and fungi and within the chloroplasts of plants.

Explanation:

The mass of the water in the cylinder is 777.84 grams.


1. To calculate the mass, we first need to find the volume of water in the cylinder.
2. We are given the total volume of the cylinder (485.1 cm³) and the height of the water (7.2 cm).
3. Calculate the volume of the cylinder filled with water: (Volume of the entire cylinder / total height) * height of water = (485.1 cm³ / total height) * 7.2 cm.
4. Unfortunately, we do not have the total height of the cylinder. We cannot proceed with this calculation without that information.

However, if you meant to say that the volume of the water is 485.1 cm³, then:
1. Convert the volume of the water to mass: mass = volume x density (density of water is approximately 1 g/cm³).
2. Calculate the mass of the water: 485.1 cm³ * 1 g/cm³ = 485.1 grams.
3. Therefore, the mass of the water in the cylinder would be 485.1 grams.

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Since the dust particles are larger and more massive than the gas molecules, they are less affected by the solar wind and tend to follow a more curved path behind the comet. This causes the dust tail to lag behind the ion tail and eventually separate from it.

The dust tail and ion tail of a comet are formed due to different mechanisms. The dust tail is composed of small particles that are released from the comet's nucleus as it is heated by the sun.

These particles are pushed away from the comet by the solar wind, creating a distinct tail of debris. On the other hand, the ion tail is formed by the interaction between the solar wind and the gas molecules that are also released from the comet's nucleus. This ionized gas is pushed away from the comet by the solar wind, creating a tail of charged particles.

Since the dust particles are larger and more massive than the gas molecules, they are less affected by the solar wind and tend to follow a more curved path behind the comet. This causes the dust tail to lag behind the ion tail and eventually separate from it.

Additionally, the dust particles tend to be more reflective than the gas molecules, making them easier to observe from Earth. Therefore, the dust tail is often more prominent and visible than the ion tail.

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Alpha decay is a type of nuclear decay occurring by the emission of alpha particles. Thus the nuclei changes to a new nuclei with mass number decreased by 4 units and atomic number decreased by 2 units from the parent atom.

Nuclear decay is the process of radioactive decay of unstable isotopes to form its stable isotopes or new nuclei.  Unstable atoms undergo nuclear decay by the emission of alpha or beta particles or by  electron capture.

In alpha decay,  an alpha particle that is a helium nuclei is emitted with the new nuclei where the mass number reduces by 4 and atomic number reduces by 2.

For instance consider the alpha decay of carbon -14 produces stable beryllium -10 with an alpha particle.

\(\rm _{6}^{14}C \rightarrow _{10}^{4}Be + _{2}^{4}He\).

Similarly in beta decay, an electron is emitted where the atomic number increases by one and mass number does not change.

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Question :-

Answer :-

\( \rule {180pt} {2pt} \)

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that the Time take by the people to push the car is 3 seconds . The Force required is 200 N . And, we have been asked to calculate the Impulse .

For calculating the Impulse , we will use the Formula :-

Therefore , by Substituting the given values in the above Formula :-

⇒ Impulse = Force × Time

⇒ Impulse = 200 × 3

⇒ Impulse = 600

Hence :-

\( \underline {\rule {180pt} {4pt}} \)

Option B, C, and E are correct. First principle of motion options that address the issue include Before an item may move, it must be subjected to a net force. The inertia rule is another term for the first principle of Newton's theory of motion.

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Complete question: Inertia is an object's natural tendency to remain in constant motion or at rest. An object moving through outer space, for example, will continue moving in one direction and at a constant speed due to its inertia, if no other forces act on it. Why do planets constantly change the direction in which they move?

A. Most planets do not have any inertia, so their motion constantly changes.

B. The force of gravity acts on planets and changes the direction of their motion.

C. Each planet's inertia is constantly changing from one moment to the next.

D. There are no forces acting on the planets as they move in orbits around the Sun.

Answer:

the sum of all biological processes by which particular characteristics are transmitted from parents to their offspring

The wavelength of light must be absorbed to accomplish photosynthesis process is blue light.

Photosynthesis is a process in which green plants, blue-green algae capture light energy and convert into chemical energy. Photosynthesis depends on absorption of light by pigments in the leaves.

Wavelength is distance between successive crests of a wave especially in electromagnetic waves. Most important is the chlorophyll a, which is the universal pigment but there are several accessory pigments which helps in the process of photosynthesis.

Plant pigment absorb light in the wavelength range of 700 nanometer to 400 nanometer. It is said to be as photo-synthetically active radiation. Violet and Blue have the shortest wavelength and most energy while red has the longest wavelength and carries the least amount of energy.

One photon with just right amount of energy bump an electron between orbitals and can excite a pigment. This is why different pigments absorb different wavelength of light.

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The complete question is,

What is the wavelength of light that must be absorbed to accomplish this photosynthesis process?

Answer:

Instead, photosynthetic organisms contain light-absorbing molecules called pigments that absorb only specific wavelengths of visible light, while reflecting others. The set of wavelengths absorbed by a pigment is its absorption spectrum.

a)

i. The force exerted on the piston by the air in the freezer is 240 N.

ii. The work done on the piston by the air as it pushes the piston 0.021 m into the cylinder is 5.04 J.

b) The change in the internal energy of the cylinder is 3486 J.

a)  

i. To calculate the force exerted on the piston by the air in the freezer, we can use the formula:

Force = Pressure * Area

Given:

Pressure (P) = 1.0 × \(10^5\) Pa

Area (A) = 2.4 ×\(10^(^-^3^) m^2\)

Substituting these values into the formula, we have:

Force = (1.0 × 10^5 Pa) * (2.4 ×\(10^(^-^3^) m^2)\)

      = 240 N

ii. To calculate the work done on the piston by the air in the freezer as the air pushes the piston, we can use the formula:

Work = Force * Distance

Given:

Force = 240 N

Distance (d) = 0.021 m

Substituting these values into the formula, we have:

Work = (240 N) * (0.021 m)

     = 5.04 J

b) To calculate the change in the internal energy of the cylinder, we can use the formula:

ΔU = mcΔT

Given:

Initial temperature (T1) = 21°C = 21 + 273 = 294 K

Final temperature (T2) = -18°C = -18 + 273 = 255 K

Thermal capacity (c) = 89 J/°C

Substituting these values into the formula, we have:

ΔU = (89 J/°C) * (294 K - 255 K)

   = 3486 J

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Answer: the speed of sound in the air inside a furnace at 523 degrees Celsius is approximately 519.2 meters per second.

Explanation:

The speed of sound in a gas depends on the temperature and the density of the gas. At higher temperatures, the speed of sound increases.

The formula for calculating the speed of sound in a gas is:

v = sqrt(γRT)

where v is the speed of sound, γ is the ratio of specific heats for the gas, R is the gas constant, and T is the temperature in Kelvin.

For air, γ is approximately 1.4 and R is approximately 287 J/(kg*K).

To convert 523 degrees Celsius to Kelvin, we add 273.15:

T = 523 + 273.15 = 796.15 K

Substituting the values into the formula, we get:

v = sqrt(1.4 * 287 * 796.15) = 519.2 m/s

The charge q2 is 1/2 times smaller than q1. This implies that q1 is twice the magnitude of q2.

Given that the electric field 1/3 of the way from a charge q1 to a charge q2 is zero. We can use the concept of Electric field and potential to find the ratio of q2 and q1.

The potential at any point from a point charge is given by the formula;

V = kq/r

where,V = potentialk = Coulomb's constantq = magnitude of the point charger = distance between the point charge and the point in question

The electric field is the negative derivative of the potential.

We can obtain the expression of the electric field by differentiating the expression of the potential using the expression below:

E = -dV/dr

where, E = Electric fieldr = distance between the point charge and the point in questiondV/dr = rate of change of the potential

Thus, the electric field 1/3 of the way from a charge q1 to a charge q2 is zero.

This implies that there is no potential difference between these points.

That is, the potential at the midpoint is equal to the average potential at the endpoints.

Since the electric field is zero, we can deduce that the potential at the midpoint is also zero. This implies that the average potential at the endpoints is also zero.

Therefore, we have;

V(q1) + V(q2) / 2 = 0

Substituting the expression of potential, we obtain;

kq1/r1 + kq2/r2 / 2 = 0

Multiplying by r1r2/2, we obtain;q1r2 + q2r1 = 0

Given that the point of interest is 1/3 of the way from q1 to q2, we can deduce that;r2 = 2r1

Substituting this in the equation above;q1(2r1) + q2r1 = 0q1 + 2q2 = 0q2 = -1/2 q1.

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Answer:

Explanation:

The pressure exerted by the elephant can be found by using the formula

\(p = \frac{f}{a} \\ \)

f is the force

a is the area

From the question we have

\(p = \frac{2400}{0.8} \\ \)

We have the final answer as

Hope this helps you

Answer:

1.98 kg/m

Explanation:

5.94 divided by 3.00

Answer:A static

Explanation: