What is average velocity?

Simple harmonic motion is the motion in objects where the restoring for d is directly proportional to the body displacement.

Simple harmonic motion a type of periodic motion where the force that restores moving object to it's right position is directly proportional to the magnitude of body's displacement and this normally acts towards the object's equilibrium position.

The formulate for simple harmonic motion are

,F = −kx, where F is the force, x is the displacement, and k is a constanst. An example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring.

Simple harmonic oscillator can be represented by the equation x ( t ) = A cos ⁡ ( 2 π f t ) x(t) = A\cos(2\pi f t) x(t)=Acos(2πft)x,

where t is period.

x is displacement

A is amplitude.

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the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V

A transformer is an electrical device that transfer electric energy from one circuit to another.

To calculate the output voltage of the transformer, we use the formula below.

Formula:

Where:

Make V' the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V.

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There is no effect on earth's orbit due to similar force of gravity of black hole.

If our Sun was replaced with a black hole having the same mass, Earth's orbit will not changed because of the same force of gravitation of balck hole on earth. Due to this replacement, Earth's temperature will change because balck hole is not too hot like sun.

So we can conclude that there is no effect on earth's orbit due to similar force of gravity of black hole.

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Answer:

saddle weighs 250 newtons. The mass of the saddle is ____250/9.8 kg______ kilograms. Use g = 9.8 N/kg for gravity.

The tangental acceleration of the flywheel of  radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².

This is the rate of change of tangental velocity of an object in circular motion.

To calculate the tangental acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Subsitute these values into equation 1

Hence, The tangental acceleration of the flywheel of  radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².

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Answer:

D

No matter what time of year it is, shadows will remain the same.

Explanation:

Answer:

A

Explanation:

Late in the year the sun the earth is tilted away from the sun that means the sunlight is not coming in as directly. So, shadows during are longer.

Answer:

first class lever

in a first class lever fulcrum is b/w input and output force

Answer:

[tex]2360448seconds[/tex]

Explanation:

Dimensional analysis is attached.

The acceleration, a of the bodies given is the change in velocity with time and is given as follows:

Acceleration is the rate of changeof velocity of an object with time.

For the given questions, the acceleration are as follow:

Therefore, the acceleration of a body is either positive or negative.

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Stratigraphy is a discipline aimed at identifying layers of sedimentary and/or volcanic rocks, which is mainly based on the principle of superposition.

Stratigraphy refers to the science based on the identification of different layers in sedimentary and/or volcanic rocks.

Stratigraphy as a discipline is mainly cemented on the principle of superposition, which indicates that older layers of sediment are located on the bottom.

Stratigraphy allows us to understand the geological past of a region, which is important in different disciplines such as biogeography.

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Answer:

Composition of hydrogen and helium is common in all outer planets. The inner planets are marked by features such as small size which is of rocks. On other hand, outer planets are characterized by features such as huge size due to composition of hydrogen and helium gases.

Explanation:

Answer:

They are mostly made up of hydrogen and helium.

Explanation:

Answer:

71 % eff

Explanation:

if 50 out of 70  watt goes to making light

50/70 = 71 %

Answer:

100 m/s

Explanation:

here we use the wave equation which states that the velocity is equal to the product of the frequency and the wavelength.

so v = 50 × 2

v = 100 m/s

Answer:

3520

Explanation: Force = Mass x Acceleration [∴ or F = ma]. Given values. mass, m = 1600 kg; initial velocity, u = 8 m/s; final velocity, v = 30 m/s; time taken, t = 10 s.

Answer:

Zero  j    

Explanation:

If the ball is not moving at A, it has zero K.E.

The nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.

Nuclear fission is a nuclear reaction in which the atomic nucleus of a heavier element disintegrates or splits to produce two or more atoms of elements with smaller nuclei.

The nuclear fission reaction in which a neutron is used to bombard the nucleus of Uranium-235 atom to produce Barium-141, Krypton-92 and 3 neutrons is given below

[tex]_{235}U + \: _{1}n^{o} \rightarrow \: _{141}Ba+ \: _{92}Kr + 3 \: _{1}n^{o} [/tex]

Therefore, the nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.

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The specific heat of the substance will be 0.129 J/g°C.

The amount of heat required to increase a substance's temperature by one degree Celsius is known as specific heat capacity.

Similarly, heat capacity is the relationship between the amount of energy delivered to a substance and the increase in temperature that results.

The given data in the problem is;

Q is the amount of energy necessary to raise the temperature = 3,000.0 j

M is the mass=  0.465 kg.

Δt is the time it takes to raise the temperature.=50°c

s stands for specific heat capacity=?

Mathematically specific heat capacity is given by;

[tex]\rm Q= MC \triangle t \\\\ C = \frac{Q}{M\triangle t} \\\\ C = \frac{3000}{0.465 \triangle 50} \\\\ C =129.0 J/Kg^0C \\\\ C= 0.129 J/g^0C[/tex]

Hence the specific heat of the substance will be 0.129 J/g°C.

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Answer:

Precipitation formed

Temperature change

fizzing and hissing

bubbles

change in state

Explanation:

Answer:

Precipitation formed

Temperature change

fizzing and hissing

bubbles

change in state

Explanation:

Answer:The difference between air temperature and dew point is less than 4.5 degrees Fahrenheit when fog can form.

Explanation:This can occur because of added moisture or falling air temperatures. The difference between air temperature and dew point is less than 4.5 degrees Fahrenheit when fog forms.

Progressive overload is the gradual increase in stress to which we subject the body during training, where time, intensity and frequency are dimensions of it.

It is a training principle that emphasizes a progressive intensification of stress on the muscles.

It involves the systematic application of training stimuli that force the body to adapt and grow by manipulating the variables of frequency, time and intensity.

Therefore, we can conclude that progressive overload is the gradual increase in stress to which we subject the body during training, where  time, intensity and frequency are dimensions of it.

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Answer:

Mechanical advantage:

i. The ratio of load to effort on a balanced lever is called mechanical advantage.(Definition)

ii. Mechanical advatage (MA) = Load (L)/Effort (E) (Formula)

Velocity ratio:

i. The ratio of effort distance to load distance is called velocity ratio.(Definition)

ii. Velocity ratio (VR) = effort distance(Ed)/ load distance(Ld).  (Formula)

Answer:

4000 J

Explanation:

x * .125  = 500

x = work input   =   500 / .125 = 4000 J

Answer:

-13.5 m/s^2

-1.35m/s

Explanation

First, find the momentum of the paintball by using the formula [tex]p=mv[/tex].

[tex]p=0.15*45[/tex]

[tex]p = 6.75[/tex]

The next step would be to find the change of momentum of the gun. Since the gun was at rest it had a momentum of 0. Momentum acts in different directions equally, therefore we can set up the equation for the acceleration:

FΔt=Δp

Where F is force, Δt is the change of time and Δp is the change of momentum.

Since we solve for acceleration, we can convert F to ma to get:

maΔt=Δp

Substitute values:

5a*(0.1-0)=-6.75

5a=-67.5

a=-13.5

Our a is -13.5m/s^2, it's negative since the direction it's acting on is opposite of the paintball.

Now we can find velocity (and double-check our work!).

The first way to solve for velocity is:

[tex]V=Vi+at[/tex]

Where V is final velocity, Vi is initial, a is acceleration and t is time.

substitute values:

[tex]V=0-13.5*0.1\\V=-1.35m/s[/tex]

If we are correct, using the formula p=mv, we should get the same result (remember, our momentum is negative).

[tex]p=mv\\-6.75=5v\\-1.35m/s=v[/tex]

Hope this helps!

The value of resistance that should be used is 244.74 Ohms and the resistor must be connected in parallel.

Given the following data:

A parallel circuit can be defined as an electrical circuit with the same potential difference (voltage) across its terminals.

In order to determine the magnitude of a resistor that should be added to this branch of the circuit, the electrical circuit would be connected as a parallel circuit.

Next, the total effective resistance of this electrical circuit is given by:

RT = (R₁ × R₂)/(R₁ - R₂)

RT = (150 × 93)/(150 - 93)

RT = 13950/57

RT = 244.74 Ohms.

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Given what we know, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages.

Tires are made from rubber mixed with other substances such as steel and certain polyester fibers. This makes the tires a poor source of rubber and said rubber would not be of great quality when recycling, this along with the high cost of the process entails the disadvantages of recycling tires. The advantage, however, is environmental, as tires take up a great portion of the space in landfills and greatly pollute the air when burning.

Therefore, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages due to its poor quality material and high cost of recycling.

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The efficiency of the engine through the four steps cycle is 83.4%.

The efficiency of a machine is the ratio of useful work done by the machine and the work done on the machine expressed as a percentage.

The efficiency of the engine is given by:

[tex]ɛ=\frac {W} {Q}[/tex]

where;

Since there at four steps in a cycle:

[tex]ɛ=\frac {W_1+ W_2+W_3+W_4} {Q_1+Q_2+Q_3+Q_4}[/tex]

The work done in the first step (isothermal expansion) is given by:

[tex]W_1=nRT_1\ln{\frac {V_2} { V_1}}[/tex]

where:

n= 1 mole, T1 = 402 K, V2 = 41.2 L, V1 = 18.5 L

Substituting the values:

[tex]W_1 = 1 × 8.314 × 402 \times ln{\frac {41.2} {18.5}} = 2676.01 J \\ [/tex]

Steps 2 and 4 are constant volume processes, therefore;

[tex]W_2=W_4=0[/tex]

The work done in the third step (isothermal expansion) is given by:

[tex]W_3=nRT_3\ln{\frac {V_4} { V_3}} [/tex]

where;

n = 1 mol, T3 = 273 K, V4 = 41.2 L, V3 = 18.5 L

Substituting the values:

[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]

[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]Heat enters the system only during steps (1) and (4).

The internal energy of the gas increases in step 4 but no work is done, while the internal energy is constant change in step 1 but work is done by the gas.

Thus;

[tex]Q_2=Q_3=0[/tex]

The heat that enters the system during the isothermal expansion is given by:

[tex]Q_1=W_1[/tex]

The heat that enters the system on step 4 at constant volume is given by:

[tex]Q_4=C_V(T_4-T_3)[/tex]

where:

Cv =21 J/K, T3 = 273 K, T4 = 402 K

Substituting the values:

[tex]Q_4= 21 × (402 - 273) = 2709 \: J[/tex]

Solving for efficiency, ɛ:

[tex]ɛ=\frac {2676.01+ 0+0+1817.29} {2676.01+0+0+2709} = 83.4\%[/tex]

Therefore, the efficiency of the engine is 83.4%.

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Answer:

infrared light have longe rwave length

The three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

EM waves are another name for electromagnetic waves. Electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.

Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields. Maxwell's equations are solutions to electromagnetic waves.

Of all electromagnetic waves, radio waves have the longest wavelength.

Hence the three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

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Infrared radiation is a part of electromagnetic waves,which also include the visible light and radio waves.

The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.

The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.

In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.

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