a thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates vertically in shm. the amplitude is 0.050 m, and at the highest point of the motion the spring has its natural unstretched length. calculate the elastic potential energy of the spring (take it to be zero for the unstretched spring), the kinetic energy of the cat, the gravitational potential energy of the system relative to the lowest point of the motion, and the sum of these three energies when the cat is

Answer:

I'm pretty sure its 1080

Explanation:

force is = to mass multiplied by acceleration.

So 900 kg multiplied by 1.2m/s is = to 1080

I'm no expert so please tell me if I'm wrong so that I can improve.

Have fun buddy .

\(\\ \sf\Rrightarrow F_{net}=F_1+F_2+F_3+F_4\)

\(\\ \sf\Rrightarrow F_{net}=20N+20N+10N-10N\)

\(\\ \sf\Rrightarrow F_{net}=40N\)

Answer:

guard cell

hope it helps

Answer:

true

Explanation:

For an infinite line of charge passing through the axis of a cylinder, the electric flux through the cylinder is zero since the electric field lines are parallel to the curved surface, resulting in no electric flux through it.

To calculate the electric flux through a cylinder due to an infinite line of charge, we can use Gauss's law. Gauss's law states that the electric flux (Φ) through a closed surface is equal to the electric charge enclosed (Q_enc) divided by the permittivity of free space (ε₀).

Given:

The cylinder is a closed surface.

The infinite line of charge is passing through the axis of the cylinder.

Since the cylinder is symmetric and the electric field lines are parallel to its surface, the electric flux passing through the curved surface of the cylinder will be zero. Therefore, we only need to consider the electric flux passing through the top and bottom surfaces of the cylinder.

The electric flux passing through each of the flat surfaces can be calculated using the formula:

Electric flux (Φ) = E × A

where E is the electric field perpendicular to the surface and A is the area of the surface.

For an infinite line of charge, the electric field (E) can be determined using the formula:

E = (λ / (2 × π × ε₀ × r))

where λ is the linear charge density and r is the distance from the line of charge to the surface.

To calculate the electric flux, we need to determine the values of the linear charge density (λ) and the radius (r) of the cylinder. Once we have those values, we can calculate the electric field (E) and then use it to find the electric flux (Φ) through each surface.

Please provide the linear charge density (λ) and the radius (r) of the cylinder so that I can calculate the electric flux accurately.

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Explanation:

distance = speed x time

a- d= 350 m/s x 30s

   d= 10500m

b- 5 mins = 300 sec

    d= 350 m/s x 300s

    d= 105000 m

c-  30 mins = 1800 sec

    d= 350 m/s x 1800 s

   d=  630000 m

The car's momentum change is 4000 kg/m/s because momentum change equals impulse.

Impulse can be summed up as follows: In this case, the car experienced an impulse of 4000 kg/s. Impulse = force x time.

The following formula can be used to determine the car's change in momentum using this information: The car's momentum change is 4000 kg/m/s because momentum change equals impulse.

The change in an object's momentum caused by a force acting on it for a certain amount of time is equal to impulse. An object's momentum change is measured by its impulse, which is defined as the sum of the object's acting force and time. Calculating impulse can be done by: Force x time is the impulse.

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1. The work done by the farmer on the wheelbarrow is 625 J.

2. When the roller coaster is one-third of the way down the track (20 m above the ground), it is traveling at approximately 32.67 m/s.

3. The amount of work done to slow the rider (and bike) from 13.0 m/s to 4.00 m/s is approximately -12168 J.

1. The work done by the farmer on the wheelbarrow can be calculated using the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. The formula for work is given by:

Work = ΔKE = KE_final - KE_initial

The initial kinetic energy (KE_initial) is zero since the wheelbarrow starts from rest. The final kinetic energy (KE_final) can be calculated using the formula:

KE_final = (1/2) * m * v^2

Where m is the mass of the wheelbarrow and v is its final velocity. Substituting the given values:

m = 50 kg

v = 5.0 m/s

KE_final = (1/2) * 50 kg * (5.0 m/s)^2 = 625 J

Therefore, the work done by the farmer on the wheelbarrow is 625 J.

2. To find the velocity of the roller coaster when it is one-third of the way down the track (20 m above the ground), we can use the principle of conservation of energy. The potential energy (PE) at the initial height is converted into kinetic energy (KE) at that point. The formula for conservation of energy is:

PE_initial = KE_final

The potential energy at the initial height is given by:

PE_initial = m * g * h

Where m is the mass of the roller coaster, g is the acceleration due to gravity, and h is the initial height. Substituting the given values:

m = 1400 kg

g = 9.8 m/s^2

h = 30 m

PE_initial = 1400 kg * 9.8 m/s^2 * 30 m = 411600 J

The kinetic energy at that point can be calculated using the formula:

KE_final = (1/2) * m * v^2

Where v is the final velocity. Substituting the given values:

m = 1400 kg

v = ?

KE_final = 411600 J

Rearranging the equation, we have:

v = sqrt((2 * KE_final) / m)

v = sqrt((2 * 411600 J) / 1400 kg)

≈ 32.67 m/s

Therefore, when the roller coaster is one-third of the way down the track (20 m above the ground), it is traveling at approximately 32.67 m/s.

3. The work done to slow down the rider (and bike) can be calculated using the work-energy principle. The work done is equal to the change in kinetic energy. The formula for work is:

Work = ΔKE = KE_final - KE_initial

The initial kinetic energy (KE_initial) is (1/2) * m * v_initial^2, and the final kinetic energy (KE_final) is (1/2) * m * v_final^2.

Substituting the given values:

m = 76.0 kg

v_initial = 13.0 m/s

v_final = 4.00 m/s

Work = (1/2) * m * v_final^2 - (1/2) * m * v_initial^2

Work = (1/2) * 76.0 kg * (4.00 m/s)^2 - (1/2) * 76.0 kg * (13.0 m/s)^2

≈ -12168 J

Therefore, the amount of work done to slow the rider (and bike) from 13.0 m/s to 4.00 m/s is approximately -12168 J. The negative sign indicates that work is done against the direction of motion.

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Answer:

...?

Explanation:

A truck accelerating at 0.0083 meters/second2 covers a distance of 5.8 ×\(10^4\) meters. If the truck's mass is 7,000 kilograms, the work done to reach this distance is 3.3× \(10^6\) joules.

The correct answer is option E.

To calculate the work done by the truck to cover a distance of 5.8 × \(10^4\)meters, we need to use the equation for work:

Work = Force × Distance

In this case, the force can be calculated using Newton's second law:

Force = mass × acceleration

Where:

Acceleration (a) = \(0.0083 meters/second^2\)

Distance (d) = 5.8 ×\(10^4\) meters

Mass (m) = 7,000 kilograms

First, let's calculate the force exerted by the truck:

Force = mass × acceleration = (7,000 kg) ×\((0.0083 meters/second^2)\)= 57.1 Newtons

Next, we can calculate the work done:

Work = Force × Distance = (57.1 N) × (5.8 × 10^4 meters) = 3.3158 × \(10^6\)joules

Rounded to the nearest significant figure, the work done by the truck is approximately 3.3 × \(10^6\) joules.

Therefore, the correct answer is E.

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The question probable may be:

A truck accelerating at 0.0083 meters/second2 covers a distance of 5.8 ×\(10^4\)meters. If the truck's mass is 7,000 kilograms, what is the work done to reach this distance?

A. 1.7 × \(10^6\) joules

B. 3.4 ×\(10^6\) joules

C. 5.6 × \(10^6\)joules

D. 6.8 ×  \(10^6\)joules

E. 3,3  ×\(10^6\)  joules

The approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.

This calculation is based on the formula n = L/λ, where n is the number of wavelengths, L is the length of the object, and λ is the wavelength of light. To calculate the wavelength of light, we use the formula c = λf, where c is the speed of light and f is the frequency of light.

In this problem, we are given the diameter of the retroreflecting bead, which is assumed to be spherical. Therefore, its length is equal to its diameter, which is 5 × \(10^-^5\)m. We are also given the speed of light, which is 3 × \(10^8\) m/s, and an approximation of the frequency of light, which is \(10^1^5\) Hz.

Using the formula c = λf, we can solve for the wavelength of light:

λ = c/f = (3 ×\(10^8\) m/s)/\((10^1^5\)Hz) = 3 ×\(10^-^7\)m

Finally, we can use the formula n = L/λ to calculate the approximate number of wavelengths of light that can travel in one direction within the retroreflecting bead:

n = L/λ = (5 ×\(10^-^5\) m)/(3 ×\(10^-^7\) m) = 166.67 ≈ 167

Therefore, the approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.

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Answer:

The amount of pressure delivered to them

Explanation:

The value of frictional force is 45.6 N

The amount of resistance a steel box experiences when traveling over a steel surface

μ = 0.80

the frictional force is a result

f = μ N

= 0.80\(\times\) 57

= 45.6 N

The force that prevents motion when the surfaces of two objects come into contact is known as friction. Friction lessens a machine's mechanical advantage, or, to put it another way, friction decreases the output-to-input ratio.

A car spends one-fourth of its energy-reducing friction. However, friction in the clutch and the tires also contribute to the vehicle's ability to maintain its position on the road.

One of the most important phenomena in the physical universe is friction, which affects everything from machinery to molecular structures to matches.

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Answer:

D. bacteria feeding on the large volume of carp feces depleted the oxygen

Explanation:

In the context, it is given that in a small farm pond, the owner added 20 grass carp and feed them with the abundant plants and algae that is found on her pond. The carp grew large after many years but one summer the owner found the grass carps along with other fishes were dead.

The most possible explanation for the dead of the fishes in the pond because the bacteria feeds on the carp feces which depletes the dissolved oxygen present in the water. Thus the fishes could not breathe and were finally dead.

Therefore, the correct option is (D).

To find the index of refraction of the liquid, we can use the formula for the critical angle:

The index of refraction of a medium can be determined using the formula: n = 1 / sin(critical angle) where n is the index of refraction and the critical angle is measured in radians. To convert the critical angle from degrees to radians, we use the conversion factor π/180. In this case, the critical angle is 47.2 degrees. Converting it to radians: critical angle (in radians) = 47.2 degrees × π/180 ≈ 0.823 radians. Now we can calculate the index of refraction: n = 1 / sin(critical angle) ≈ 1 / sin(0.823) ≈ 1 / 0.731 ≈ 1.368. Therefore, the index of refraction of the liquid is approximately 1.368.sin(critical angle) = 1 / refractive index of the liquid. Given that the critical angle is 47.2 degrees, we can calculate the refractive index (n) of the liquid as follows: sin(47.2 degrees) = 1 / n. Using a scientific calculator or trigonometric tables, we find: n = 1 / sin(47.2 degrees) ≈ 1.318 Therefore, the index of refraction of the liquid is approximately 1.318.

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The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.

When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:

F = ΔP / ΔT

where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.

Now, let's apply the given values to the above equation.

Final momentum (p2) = mass × final velocity (v2)

p2 = 0.15 kg × (-50 m/s)

p2 = -7.5 kg.m/s

Initial momentum (p1) = mass × initial velocity (v1)

p1 = 0.15 kg × (40 m/s)

p1 = 6 kg.m/s

Change in momentum (ΔP) = p2 - p1

ΔP = -7.5 kg.m/s - 6 kg.m/s

ΔP = -13.5 kg.m/s

Time of collision (ΔT) = 8.0 × 10³ s

Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:

F = ΔP / ΔT

F = -13.5 kg.m/s ÷ 8.0 × 10³ s

F = -1.7 × 10⁻³ N

Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.

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When there is zero voltage across an ideal photocell, the amount of current that flows from the photocell is zero.

What is a photocell? A photocell is a transducer that converts light energy into electrical energy. It is also known as a photoresistor or light-dependent resistor (LDR). It is a sensor that detects light and converts it into electricity.

A photocell is a component that senses light levels and reacts to them. It is a semiconductor device that has an electrical resistance that changes depending on the amount of light it receives.

The amount of light received by a photocell is proportional to the current generated. As the light intensity decreases, the resistance of the cell increases.

The current through the circuit and the voltage across the circuit decrease when the resistance of the cell increases.The current that flows from an ideal photocell when there is zero voltage across it is zero.

The photocell produces a current proportional to the amount of light it receives. As a result, the ideal photocell has zero current when there is zero voltage across it. The photoelectric effect is responsible for the current generated by a photocell.

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Answer:

vibrate

Explanation:

Vocal folds vibrate when excited by aerodynamic phenomena; they are not plucked like a guitar string. Air pressure from the lungs controls the open phase. The passing air column creates a trailing “Bernoulli effect,” which controls the close phase.

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The gravitational potential energy of the toy is converted into kinetic energy as it falls.

We will utilize the law of conservation of energy to determine the velocity of the toy just before it strikes the ground, which is mgh = 1/2mv²,

where m is the mass of the toy,

h is the height from which it is falling,

g is the acceleration due to gravity, and

v is the velocity with which it hits the ground.

Using the provided figures, we get, m = 5 kg,

h = 3.7 m, and

g = 9.8 m/s².

Substitute these values in the formula. 5*9.8*3.7 = 1/2(5)v²

On solving, we get v² = 181.3 or

v = √(181.3)

V = 13.5 m/s (approx).Hence, the velocity of the toy just before it hits the ground is 13.5 m/s.

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Answer:

2=6

3=9

Explanation:

I think this is right I'm not sure but I have done problems like this and did based on what I remember.

The average acceleration of the 3 kg block is 4 m/s².

The given parameters;

According to Newton's third law of motion, action and reaction are equal and opposite.

The force exerted on both blocks are equal and opposite.

\(F = ma\\\\m_1 a_1 = m_2a_2\\\\a_2 = \frac{m_1 a_1}{m_2}\\\\a _2 = \frac{2\times 6}{3} \\\\a_2 = 4 \ m/s^2\)

Thus, the average acceleration of the 3 kg block is 4 m/s².

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An atom’s location on the periodic table provides information such as;

1. Atomic number.

2. Number of valence electrons.

3. Atomic weight.

An atom can be defined as the smallest unit which comprises the matter that forms all chemical elements. Thus, atoms are typically the fundamental building blocks of matter and as such determines (defines) the structure of a chemical element.

Generally, atoms are typically made up of three (3) distinct particles and these are;  

Periodic table is an organized tabular array of all the chemical elements arranged in order of increasing atomic number (in rows).

Generally, an atom’s location on the periodic table (the group of elements it belongs to) provides information such as;

1. Atomic number.

2. Number of valence electrons.

3. Atomic weight.

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The substitution of solar power for fossil fuel combustion represents a shift towards more sustainable and environmentally friendly technology.

In the IPAT equation, which represents the impact of human activity on the environment, substituting solar power (photovoltaic cells) for fossil fuel combustion would primarily affect the "T" term, which represents the technology factor.

The IPAT equation is written as I = P × A × T, where:

I represents the environmental impact or ecological footprint,

P represents the population,

A represents the affluence or per capita consumption, and

T represents the technology factor.

By replacing fossil fuel combustion with solar power, the technology factor (T) changes because the energy generation technology is being modified. Solar power is a renewable and clean energy source, while fossil fuel combustion contributes to air pollution, greenhouse gas emissions, and other environmental problems.

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Answer: A

Explanation:Convection currents in the mantle Mantle convection is the very slow creeping motion of Earth's solid silicate mantle caused by convection currents carrying heat from the interior to the planet's surface. The Earth's surface lithosphere rides atop the asthenosphere and the two form the components of the upper mantle.

Answer:

B

Explanation:

Answer: fission and radioactive decay

And induced splitting of atoms

Explanation:

Answer:

The force of friction opposes the motion of an object, causing moving objects to lose energy and slow down.

Explanation:

Chen, Roll, and Ross included several factors in their multifactor model. Specifically, their model included the market factor, size factor, book-to-market factor, and momentum factor.

The market factor captures the overall performance of the stock market and is typically measured by the returns of a broad-based market index such as the S&P 500.

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Answer:

this is because mercury is more dense than iron nail, while water is less dense than the nail.

Explanation:

Answer:

Density

Explanation:

This is because of difference in densities of iron nail, mercury and water. Iron nail is less dense than mercury so it floats on mercury while it is more dense than water so it sinks!

In a tube closed at one end, the third harmonic is found to be 735 Hz. The speed of sound in air is 335 m/s. Therefore, the correct option is 22.9 cm.

Explanation:Here, the harmonic number of the resonating wave is given. It is the third harmonic, i.e.,

n = 3.

The length of the tube closed at one end can be given as:

L = (2n - 1) * (v/4f)

where,L = Length of the tube v = Velocity of sound in air f = Frequency of the wave (3rd harmonic)For the given question, the frequency of the third harmonic is given.

Therefore, we can use the above formula to calculate the length of the tube.

L = (2n - 1) * (v/4f)

L = (2*3 - 1) * (335 / 4*735)

L = 5 * (335/2940)L = 0.5714 m = 57.14 cm

Hence, the length of the tube closed at one end is 57.14 cm.Applying the nearest answer option, we get;The nearest answer option for this value is 22.9 cm, which is equal to 0.229 meters. Therefore, the correct answer is 22.9 cm.

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Answer:

quintal and metric tone.

Explanation:

1 quintal= 100kg

1 metric =1000kg

quintal measures mass of cars, trucks etc, but metric measures bigger things like cargo ships

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