The equation for the period of a pendulum is T=2 Square Root of L/g.
How does your equation from 1B relate to the pendulum equation?
Use the pendulum equation to calculate the period of a 1.50 m pendulum. Remember that the value of "g" is 9.81 m/s2.
Compare your calculated period (from 3B) to your data by using the graph you constructed. Explain any possible sources for error if your graph does not agree with your calculated results.

A chopper’s speed increases from 35 m/s to 60 m/s in 5 seconds. Therefore, the acceleration of this helicopter is 5m/s².

The term an acceleration is the name we supply to any process where the velocity changes.

Therefore, velocity is a speed and a direction, there are only two ways for you to accelerate is change your speed or change your direction or change both.

Given:

Initial speed = 35 m/s

Final speed = 60 m/s

Time = 5 s

v = u + at

60 = 35 + a(5)

60 - 35 = 5a

25 = 5a

a = 5

Thus, the acceleration of this helicopter is 5m/s².

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Take intoaccount that for points A, D, and B, almost all the mechanical energy is potential gravitational energy. For the lowest point the potential energy is least and then the kinetic energy is maximum.

Then, you can conclude that for point C the kinetic energy is maximum.

If drag and friction forces are included, then, for point E (that is, after the roller coaster is traveled all the trajectory shown) part of the mechanical energy has been dissipated.

For point E the mechanical energy is minimum.

Mass of book will be m = 4.495 kg  

The force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface is called gravitational force

Force = 2.68 x 10-8 N

mass of student(M)  = 55

mass of book=?

distance = 0.435m

gravitational constant (G)=6.67×10^-11

gravitational force (F)=2.68×10^-8

gravitational force (F) = (G*M*m) /\(d^{2}\)

2.68 x 10-8  = ((6.67×10^-11) * ( 55 ) * m) / 0.435

m = 4.495 kg

Mass of book will be m = 4.495 kg  

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Answer:

acellus students

Explanation

1.382

The boiling point of a substance depends on the strength of the intermolecular forces between its molecules. In the case of the two substances you mentioned, even though they have different molecular sizes, they can still have the same boiling point if they have similar intermolecular attractions.

For example, the smaller molecule may have a higher polarity due to the presence of polar bonds, which can result in dipole-dipole interactions between molecules. The larger molecule may have a similar dipole moment even though it has more atoms, or it may have a polar functional group that contributes to its intermolecular interactions.

In addition to dipole-dipole interactions, the molecules may also have London dispersion forces, which are present in all molecules due to the random fluctuations in electron density. These forces are proportional to the size of the molecule, so the larger molecule may have a stronger dispersion force even if it is less polar than the smaller molecule.

Therefore,, it is possible for two different molecules to have the same boiling point if they have similar intermolecular attractions, such as dipole-dipole interactions and London dispersion forces. The size of the molecule may also play a role in determining the strength of these forces, but it is not the only factor.

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The acceleration of the bucket of mass 2.8 kg which is lifted upwards with a force of 34 N is 12.14 m / s²

According to Newton's second law of motion,

F = m a

F = Force

m = Mass

a = Acceleration

F = 34 N

m = 2.8 kg

a = F / m

a = 34 / 2.8

a = 12.14 m / s²

Acceleration is the rate of change of velocity of an object with respect to time. It is denoted as a.

Therefore, the acceleration of the bucket is 12.14 m / s²

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The data does not support his hypothesis because the heaviest mass travelled the least distance.

The weight of an object is the force of gravity acting on the object and the force of gravity increases with increase in the mass of the object.

W = mg

where;

Based on law of conservation of energy;

P.E = K.E

mgh = ¹/₂mv²

h = ( v² ) / ( 2g )

The height travelled by an object increases with increase in speed of the object and heavier objects will have greater speed, hence travel greater height.

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The complete question is below:

Jacobie wanted to test the projectile motion of a pumpkin. His hypothesis was if the pumpkin had a larger mass, then the higher he could throw it, because the larger pumpkins would have more force. He bought three orange pumpkins and tested them all on the same day. His results are shown at right. Does the data support his hypothesis?

5kg = 10meters

10kg = 5 meters

15kg = 1 meter

Answer:

period

Explanation:

A wave takes 0.5 seconds to complete one cycle. It is called the time period of the wave. It is the time taken by the wave to complete one cycle.

The relation between the time period and the frequency is given by :

T = 1/f

Where

f is frequency of the wave

Hence, the correct option is (a) "period".

Answer:

30 miles/hour

Explanation:

Bus traveled 90 miles and took 3 hours if you take the average per hour it should be around, 30 miles every hour

Answer:

c h i c k e n n u g g e t s . . . . . .

jk its 2.6

We have that the  the strength of the force between the Sun and the moon  is mathematically given as

F2=0.12140F1N

Question Parameters:

Distance between the Earth and the Sun were increased by a factor of 2.87,

Generally the equation for the  Gravitational Force   is mathematically given as

\(F=\frac{Gm1m2}{d^2}\\\\Where\\\\f1/f2=d1^2/d2^2\\\\Therefore\\\\F2=\frac{F1*d1}{3.23^2}\\\\F2=\frac{F1*1}{2.87^2}\\\\\)

F2=0.12140F1N

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The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Answer: A 1:1

Explanation:

They both have a magnitude of 1.6 x 10^-19 C.

The ratio of the magnitude of the charge of a proton compared to the magnitude of the charge on an electron is 1:1 option (A) is correct.

It is a basic unit of matter everything is made from the atom. It consists of three small particles in it named electron, proton, and neutron. The electron has a negative charge, a proton has a positive charge, and a neutron has no charge.

We know the charge on the proton:

\(\rm Q_p = 1.6 x 10^{-19} \ C\)

And charge on the electron:

\(\rm Q_e = -1.6 x 10^{-19} \ C\)

The absolute value of charge on the electron:

\(\rm |Q_e| = 1.6 x 10^{-19} \ C\)

\(\rm \dfrac{\rm Q_p} {\rm |Q_e| }= \dfrac{1.6 x 10^{-19}}{ 1.6 x 10^{-19}}\)

= 1:1

Thus, the ratio of the magnitude of the charge of a proton compared to the magnitude of the charge on an electron is 1:1 option (A) is correct.

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The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .

Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.

This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.

The number of protons in an atom is called the atomic number or Z-number.

The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.

Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.

However, different isotopes of an element can have different numbers of neutrons.

This means that they have a different atomic mass or A-number.

Therefore, they have the same A-number but different Z-number.

Therefore the correct Option is B.

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Explanation:

It is given that,

Wavelength of a beam of light in vacuum, \(\lambda_o=620\ nm\)

(a) Let v is the speed of light in a liquid whose index of refraction at this wavelength is 1.56.

We know that,

Refractive index,

\(n=\dfrac{c}{v}\\\\v=\dfrac{c}{n}\\\\v=\dfrac{3\times 10^8}{1.56}\\\\v=1.92\times 10^8\ m/s\)

(b) The wavelength of light in material,

\(\lambda=\dfrac{\lambda_o}{n}\)

Let \(\lambda_1\) is the wavelength of these waves in the liquid. So,

\(\lambda_1=\dfrac{\lambda_o}{n}\\\\\lambda_1=\dfrac{620\times 10^{-9}}{1.56}\\\\\lambda_1=3.97\times 10^{-7}\ m\)

Hence, this is the required solution.

The velocity of the car 1 can be seen from the calculation as 20 m/s West

A coordinate system or point of view used to observe motion is known as a frame of reference. It can be used as a guide when describing an object's position, speed, and acceleration. Different frames of reference may result in various motion observations.

The relative velocity is the velocity of an object or observer as observed from a particular frame of reference.

We can see that the velocity of the car 1 is;

45 m/s - 25 m/s

= 20 m/s West

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A. The total momentum of the system after they push off is zero.

B. m1v1=m2v2

v2=m1v1/m2

v2=80*3.0/32

v2=7.5 m/s

in fact

m1v1=80*3= 240 kgm/s

m2v2= 32*7.5= 240 kgm/s.

A penny board is a type of skateboard characterized by a short, narrow deck made of plastic. If you're on the short side, consider choosing a smaller deck. Smaller decks are easier to operate and control, lighter, and more portable. If you are taller, you should choose a larger deck.

The larger deck gives more stability and power when skating. A big part of being a skater girl is looking like that which means wearing skate-branded shoes and clothes. Other skaters tend to wear these clothes cut to allow the skater's movement. Good skatesHer brands include Vans DC Nike especially basketball lines and Etnies I have.

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Answer:

The laws of reflection govern how incident light rays are reflected on reflecting surfaces such as mirrors, smooth metal surfaces, and clear water. The laws of reflection are as follows: The incident ray reflected ray, and normal to the mirror’s surface are all in the same plane. The incidence angle equals the reflection angle.

Explanation:

B. Does it require a medium to travel?

this is the main difference between longitudinal and transverse wave.

To calculate the electric force between two charges, we can use Coulomb's law:

F = k * |q1 * q2| / r^2

where F is the electric force, k is the electrostatic constant (k ≈ 8.99 × 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.

In this case, q1 = 0.0042 C, q2 = -0.0050 C, and r = 0.0030 m.

Substituting these values into the equation:

F = (8.99 × 10^9 N m^2/C^2) * |0.0042 C * (-0.0050 C)| / (0.0030 m)^2

F = (8.99 × 10^9 N m^2/C^2) * 0.000021 C^2 / 0.000009 m^2

F ≈ 1977.78 N

Therefore, the electric force between the two charges is approximately 1977.78 Newtons.

The involvement of microphones in the helmet of some professional football players for the purpose of communication shows that there is an immense advancement in technology.

A microphone is defined as a device that is can be used to magnify a sound through its conversation to electrical signals.

Professional football is a type of game that is played by train individuals and it's made up of two teams that plays against each other.

The introduction of microphones in the helmet of these footballer helps them to effectively communicate with their coaches near by which was not soo years back.

Therefore this can be said to be an advancement in technology.

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Answer:

Differences

microscopic refers to substances visible to the naked eye

macroscopic are substances invisible to naked eye

Similarities

both refer to different scales that are useful to determining the size to different compounds.

Explanation:

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a)  It takes the car 15.0 seconds with a constant acceleration of 2.00m/s^2 to catch up to the truck. moving at a constant velocity of 15.0 m/s.

b) The distance required for the car to pass the truck is  450.0 meters beyond the traffic light.

Constant acceleration is a type of acceleration where the rate of change of velocity of an object is constant over time. This means that measuring the velocity of an object undergoing constant acceleration at two different times, the difference between the two velocities will be the same. In other words, the object will be accelerating at a constant rate.

An example of an object undergoing constant acceleration is an object being dropped or thrown. When an object is dropped or thrown, it experiences a constant acceleration due to gravity, which is approximately 9.8 m/s^2 on the surface of the Earth. Another example is a car accelerating from rest to a certain velocity, provided that the rate of acceleration is constant during that time.

a) To calculate the time necessary for the car to catch up to the truck, the kinematic equation can be used  for the position of an object under constant acceleration:

\(x = v0t + (1/2)at^2\)

where x is the position of the car, v0 is its initial velocity (assumed to be 0 m/s since it starts from rest), a is its acceleration, and t is time.

Let  the speed of the truck be  v. The equation for the position of the truck:

\(x = vt\)

Setting these two equations equal to each other and solving for t. The equation got:

\(v0t + (1/2)at^2 = vt\)

\(0 + (1/2)(2.00 m/s^2)t^2 = 15.0 m/s t\)

Expanding the left side:

\((1.00 m/s^2)t^2 = 15.0 m/s t\)

Dividing both sides by t:

\(t = 15.0 m/s / (1.00 m/s^2) = 15.0 s\)

So it takes the car 15.0 seconds to catch up to the truck.

b) To calculate the distance beyond the traffic light that the car will pass the truck,  the equation for the position of the car and truck at the time when the car catches up to the truck is

\(x = v0t + (1/2)at^2\) for the car

\(x = vt\) for the truck

Setting these two equations equal to each other and solving for x,

\(v0t + (1/2)at^2 = vt\)

\(0 + (1/2)(2.00 m/s^2)(15.0 s)^2 = 15.0 m/s (15.0 s)\)

Expanding and solving:

\(x = (1/2)(2.00 m/s^2)(15.0 s)^2 = (1/2)(2.00 m/s^2)(225.0 s^2)\)

\(x = (2.00 m/s^2)(225.0 s^2) = 450.0 m\)

So the car will pass the truck 450.0 meters beyond the traffic light.

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Answer:Light Amplification by Stimulated Emission of Radiation. It is able to convert light or electrical energy into focused high energy beam to treat some sickness and diseases.

Explanation:

Answer:

Light amplification by stimulated emission of radiation

The car that has the greater acceleration magnitude is car B

Torricelli's theorem can be used to calculate the magnitude of an object's acceleration when the value of time is not known:

                                            \(v^{2} = v_{0}^{2} + 2a\Delta S\)

Note that \(v\\\) is the final velocity value, \(v_{0}\) is the initial velocity value, \(a\) is the acceleration value, and \(\Delta S\) is the displacement.

Substituting the values ​​given by the question in the formula, we have:

                                           \(10^{2}= 0^{2}+2\times a \times 50\)

                                                    \(100 = 100a\)

                                                     \(a = 1m/s^{2}\)

    2. CAR B

                                               \(20^{2} = 10^{2} + 2\times a \times 50\)

                                                   \(400 = 100 + 100a\)

                                                        \(100a=300\)

                                                         \(a = 3m/s^{2}\)

So, comparing the two acceleration calculated above,  it is assumed that the car has the greater acceleration magnitude is car B with \(3m/s^{2}\)  comparing to \(1m/s^{2}\)  of the car A.

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The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.

Potential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.

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Given data

*The given mass of the ball is m = 0.42 kg

*The given impact force is F = 1215.4 N

*The given initial speed is u = 13.8 m/s

*The ball bounces off in the same direction is v = -13.8 m/s

The formula for the time of impact is calculated by the Impulse-momentum theorem as

Substitute the known values in the above expression as

Hence, the time of impact is 0.00953 s

Answer:

you are going to expend energy to give a lot of velocity (and momentum) to your foot in order to transfer it the stone air drag this time the kicking speed is for superior to walking speed.

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The speed of the roller coaster at the bottom of the hill if the track was frictionless is 34.04 m/s.

Given that the weight of the roller coaster is 2000 kg and the initial vertical drop of the ride is 59.3 m. We are to find the speed of the roller coaster at the bottom of the hill if the track was frictionless.We know that the roller coaster will lose potential energy due to the vertical drop. Assuming there is no friction, the potential energy will be converted into kinetic energy at the bottom of the hill.Considering the conservation of energy between the potential and kinetic energy, we can set the initial potential energy equal to the final kinetic energy. We can use the formula to calculate potential energy, which is PE = mgh where m = 2000 kg, g = 9.8 m/s², and h = 59.3 m. Therefore,PE = 2000 kg × 9.8 m/s² × 59.3 m = 1,157,924 JWe can use the formula to calculate kinetic energy, which is KE = 1/2mv² where m = 2000 kg and v is the final velocity. Therefore,KE = 1/2 × 2000 kg × v².The total energy remains constant as we know there is no friction. Therefore the final kinetic energy will be equal to the initial potential energy,1,157,924 J = 1/2 × 2000 kg × v²v² = (2 × 1,157,924 J) / 2000 kgv² = 1157.924v = √1157.924v = 34.04 m/s.

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