In a hydroelectric power station, how much potential energy is lost by 100tonnes of water flowing down through the pipes, falling a vertical distance of 200metres? [1tonne=1000kg.]

Acceleration = (change in speed) / (time for the change)

Change in speed = (speed after the change) - (speed before the change)

Change in speed = (65 m/s) - (35 m/s)  =  30 m/s

Acceleration = (30 m/s) / (5 s)

Acceleration = 6 m/s²

Answer: experimental design

the accuracy of data-collecting devices

human error

bias in selecting samples

incorrect data analysis

incorrect treatment of the control group

Explanation:

Instrumental, environmental, procedural, and human errors are frequent causes. Depending on how they affect the outcomes, each of these errors can either be random or systematic.

The discrepancy between a measured value and its true value is known as experimental error. In other words, the error or inaccuracies are what prevent us from perceiving a measurement that is 100 percent accurate.

Every measurement has some degree of experimental error, which is fairly common. Due to the widespread belief that some degree of error is inherent to the scientific method, it is not typically seen as a "mistake" in the classic sense.

However, scientists can reduce error and obtain results that are more accurate by embracing and comprehending the ways that experimental error can affect any scientific operation.

The  potential sources of error in experiment are Instrumental, environmental, procedural, and human errors.

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Given :

The frequency of travelling sound = f = 282 Hz

The speed of travelling sound = c = 343 m/s

To Find :

The distance of waves crests

Solution :

∵ wavelength of sound wave =

i.e         =

Or,        =

∴          = 1.12   m

So, The wavelength of sound wave =   = 1.21  m

Thus , The distance of waves crests =wavelength of sound wave = 1.21 m

Hence, The distance of waves crests is 1.21 meters    Answer

Explanation:

In uniform gravity it is the same as the centre of mass. For regular shaped bodies it lies at the centre of the that particular body. Hence for a cylinder centre of gravity lies at the midpoint of the axis of the cylinder.

Explanation:

We developed a spherical harmonic series that represents the gravitational potential and its gravity field due to a buried right vertical cylinder. This series can be used at far- and intermediate-regions, and is fast and accurate, using only a few terms. We compared the values of the fields acquired by this new spherical harmonic series, with ones computed by direct numerical integrations, using a fine-mesh structure for a vertical cylinder. Results of the calculations are shown and performances of the two different methods are compared. Faithfulness of the spherical harmonic series is tested with an inversion example.

Answer: the coefficient of friction

Explanation:

The magnitude of frictional force is [tex]\mu[/tex]N and the magnitude of the force is N. So if we take the ratio of it we will get  [tex]\mu[/tex] In result.

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, the Greek letter is used to symbolize it, i.e., [tex]\mu[/tex]. In mathematical terms, is equal to F/N, where F represents frictional force and N represents normal force. Since both F and N are measured in units of force, the coefficient of friction is a dimensional less quantity (such as newtons or pounds).

For both static and kinetic friction, the coefficient of friction has a range of values. When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. In kinetic friction, the frictional force resists the motion of the object.

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Answer:

A resistor is a battery

Answer:

The answer is A

Explanation:

A resistor is a light bulb because it is the flow of an electric current in an electric circuit.

Answer:

[tex]v=\sqrt{\frac{ev}{m} }[/tex]

Explanation:

The helium ion has:

a potential difference in vacuum = V,

Charge = 2e

and mass = 4m,

speed = v,

mass = 4m

From electrostatics, the work done is the product of charge and its potential difference.

Therefore, Work done = charge × potential difference = 2e × V = 2eV

This work done is in form of kinetic energy, therefore:

Kinetic energy = 1/2 × mass × speed²

⇒  Work done = Kinetic energy

[tex]2eV=\frac{1}{2} *4m*v^2=2m*v^2\\v^2=\frac{2eV}{2m}\\ v^2=\frac{eV}{m}\\ v=\sqrt{\frac{ev}{m} }[/tex]

Answer:

4.29 s

Explanation:

Given:

v₀ = 0 m/s

v = 30.0 m/s

a = 7.00 m/s²

Find: t

v = at + v₀

30.0 m/s = (7.00 m/s²) t + 0 m/s

t = 4.29 s

Answer:

t = 3.01 s

Explanation:

In order to calculate how long it takes to the object to fall to the ground, you use the following formula, for the calculation of the height:

[tex]y=y_o-v_ot-\frac{1}{2}gt^2[/tex]    (1)

yo: height of the building = 105 m

vo: initial velocity of the body = 20m/s

g: gravitational acceleration = 9.8m/s^2

t: time = ?

To find the time t, you take into account that when the body arrives to the ground the height is zero, that is, y = 0.

You replace the values of all parameters in the equation (1), and you obtain a quadratic polynomial for t:

[tex]0=105-20t-\frac{1}{2}(9.8)t^2\\\\0=-4.9t^2-20t+105[/tex]

Next, you use the quadratic formula to get the roots of the polynomial:

[tex]t_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a = -4.9

b = -20

c = 105

[tex]t_{1,2}=\frac{-(-20)\pm\sqrt{(-20)^2-4(-4.9)(105)}}{2(-4.9)}\\\\t_1=3.01s\\\\t_2=-7.09s[/tex]

You choose the positive value t1, because it has physical meanning.

Hence, the body takes 3.01s to arrive to the ground

Answer:

[tex]T_{m }[/tex] = 4.86 s

[tex]T_{e}[/tex] = 1.98 s

Explanation:

Given:

Length = l = 1 m

Acceleration due to gravity of moon = [tex]g_{m}[/tex] = 1.67 m/s²

Acceleration due to gravity of Earth = [tex]g_{e}[/tex] = 10 m/s²

Required:

Time period = T = ?

Formula:

T = 2π [tex]\sqrt{\frac{l}{g} }[/tex]

Solution:

For moon

Putting the givens,

T = 2(3.14) [tex]\sqrt{\frac{1}{1.67} }[/tex]

T = 6.3 [tex]\sqrt{0.6}[/tex]

T = 6.3 × 0.77

T = 4.86 sec

For Earth,

Putting the givens

T = 2π [tex]\sqrt{\frac{1}{10} }[/tex]

T = 2(3.14) [tex]\sqrt{0.1}[/tex]

T = 6.3 × 0.32

T = 1.98 sec

Answer:

0.71s

Explanation:

From Newton's law of motion ;

V =U +gt

V is the final velocity or speed

U is the initial velocity or speed

g is acceleration of free fall due to gravity given as 9.8m/S2

Note when a body moves horizontally down its said to do so with the aid of the force of gravity

Hence the final velocity is aided by gravity.

From the above formula;

t =V-U/ g

t= 12-5/ 9.8 = 0.71s

Answer: .71

Explanation:

Khan academy

Answer:

Green House Effect

Explanation:

Green House Effect is the principle used in solar cookers but it can be really harmful for the Earth producing some green house gases.

Answer:

The squeeze will not regain its shape

Explanation:

The squeeze bottle will not regain its shape.

This is because the atmospheric pressure compresses the squeeze bottle. Since the pressure in the squeeze bottle is now not equal to the atmospheric pressure since it has been corked tightly, its internal pressure cannot balance out the atmospheric pressure and thus cancel its effect.

So, the squeeze bottle does not regain its shape due to this imbalance of pressure.

Answer:

The answer would be 10 pascal.

Answer:

B. 10Pa

Explanation:

Answer:

15 kg

Explanation:

F = m*a

F/a = m

210/14 = 15 kg

Answer:

B.The box experiences less friction on the marble floor

Explanation:

Answer:

B. The Box experiences less friction on the marble floor

Explanation:

This is because the the carpet is not a flat surface and the marble is smooth

Answer:

The difference between P-N junction diode and extrinsic semiconductor is the allowable direction of flow of current

The extrinsic semiconductor can allow current to flow in both directions while the P-N junction diode permits only a unidirectional flow of current

Explanation:

A semiconductor is a substance that has an intermediate conductivity between that of conductors and non conductors

Examples of semiconductors  include germanium and cadmium selenide

A semiconductor to which impurities has been added (an activity known as doping) is an extrinsic semiconductor

Based on the functioning of a semiconductor, doping result in the formation of one of two types of semiconductors including;

1) N-type semiconductor that has an extra electron and the charge carriers are electrons

2) P-type semiconductor that has one less (-e⁻) electron and holes are the charge carriers

An extrinsic semiconductor can conduct allow the flow of electricity in both ways

A P-N junction diode consists of both the P and N-type extrinsic semiconductors arranged such that current can flow in only one direction.

Therefore, the difference is that the extrinsic semiconductor can allow current flow in both directions while the P-N junction diode permits only a unidirectional flow of current.

Explanation:

2) C would need the least effort, because the longer the effort distance, the least the effort applied.

Answer:the answer is B

Explanation:

APE X

The technology that is based on the work of Subrahmanyan Chandrasekhar is an orbiting observatory to detect X-rays from space objects, therefore the correct option is B.

Chandrasekhar's limit is a type of maximum limited value that is used to define the maximum mass of a white dwarf star. The generally internationally considered value of the Chandrasekhar limit is about 1.44 times the mass of the sun which is approximately 2.765×10³⁰ kg.

In other words, one can say that Chandrasekhar limit is the maximum value that can attain 1.44 times the solar mass.

In other words, one can say that star with a mass more than 1.44 times that of the Sun does not form a white dwarf but  continues to collapse, finally forming a neutron star

An orbiting observatory to detect X-rays from space objects is based on the principle of Chandrasekhar's limit. The correct option is B.

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Answer:

a) nuclear

Explanation:

Answer:

3ohms

Explanation:

From Ohm's Law

V = IR

V is that voltage = 3volts

I = current = 1amp

R = resistance in ohms

Putting those values into the above formula.

3volts = 1amp×R

Making R the subject

R = 3/1

R = 3ohms

The resistance of the light bulb is 3ohms.

Answer: The answer is 700kg

Explanation:

Explanation:

PRIMERO HACES EL RECUENTO DEL TIEMPO Y LO CONVIERTES EN

SEGUNDOS Y ENTONCES

t = 227 s      [tex]t_{AB}[/tex] = 227 S - 38 s = 189 s

[tex]t_{BC}[/tex] = 38 s

LUEGO USANDO LA ECUACIÓN DE GALILEO GALILEI SSUPONIENDO

QUE EL MOVIL VIAJA A VELOCIDAD CONSTANTE

v = 3.50 m/189 s = 0.0185 m/s

PARA LA DISTANCIA NTRE B Y C

[tex]x_{BC}[/tex] = 0.0185 m/S( 38 s) = 0.703 m

LA HORA EN QUE EL MOVIL PASA POR A ES

11:43:15 - 38 s - 189 s = 11:39:29

Answer:

frequency = wavelength over speed. f. speed = wavelength x frequency

Explanation:

it is on google

Answer:wavelength=speed/frequency

Explanation:

Answer:

1. Unbalanced Force (If you increase force, the acceleration will increase)

2. Mass of Body (If you increase mass, the acceleration will decrease)

Explanation:

According to Newton's Second Law the acceleration produced in a body depends upon two variables. The law states that:

“When an unbalanced force is applied on a body then an acceleration is produced in it, in its own direction”

The magnitude of produced acceleration is directly proportional to the applied force and inversely proportional to the mass of body. Mathematically,

   a α F

and,    a α 1/m

where,

a = acceleration

F = Unbalanced Force

m = Mass of Body

So, the acceleration increases when the unbalanced force increase and vice versa.

And the acceleration decreases when the mass of body increase and vice versa.

combining above equations:

a α F/m

a = (Constant)F/m

here,

Constant = 1

therefore,

F = ma

Answer:

The gyration length or radius of gyration about an axis is the radial distance from a point which would have the same moment of inertia as the body's actual distribution of mass if the body's total mass were concentrated at a point.

Explanation:

The gyration length appears to be the distance from a point where the whole body appears to be concentrated when it rotates about the point.

The gyration length can be illustrated this way.

Suppose we have a distribution of masses m₁, m₂, m₃,..., mₙ located at points r₁, r₂, r₃,..., rₙ respectively from a point O. Their moment of inertia I about point O is

I = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²

If M = total mass = m₁ + m₂ + m₃ + ... + mₙ

Now I = MR² where R = gyration length

MR² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²

R² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²/M

R = √[(m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²)/(m₁ + m₂ + m₃ + ... + mₙ)]

R = √(∑mr²/∑m)

If the particles have the same mass, m₁ = m₂ = m₃ = ... = mₙ and M = nm. Since m = M/n

R = √[(mr₁² + mr₂² + mr₃² + ... + mrₙ²)/(m + m + m + ... + m)]

R = √[m(r₁² + r₂² + r₃² + ... + rₙ²)/nm]

R = √[(r₁² + r₂² + r₃² + ... + rₙ²)/n]

R = √(∑r²/n)

So the gyration length is the square-root of the sum of individual moment of inertias of the constituent masses divided by the sum of masses or the root mean square of the distances of the particles.

Answer:

Explanation:

The force acting to the right of the body is acting in the positive x direction while the force acting to the left of the body is acting in the negative x direction.

If a force of 12N acts to the left on a body and a force of 16 N acts to the right, force acting to the left will be -12N while that acting to the right will be +16N.

The resultant force acting on the bod will be the sum of the two forces.

Resultant = -12N+16N

Resultant = 4N

The direction of the resultant force will be towards the right since the resultant is a positive value.

Answer: because of air resistance. See explanation for further details.

Explanation: Galileo performed an experiment to proof that the time of descent of two different masses is independent of time.

But in reality this is most likely not true because of air resistance and other fluid frictional effects in consideration.

If the experiment is performed in a vacuum, it will always be true that time is independent of masses of two falling objects.

Answer:

a) V₀ₓ = 8.66 m/s

b) V₀y = 5 m/s

c) Magnitude of velocity vector = 10 m/s

Explanation:

a)

The magnitude of the horizontal component of launch velocity can easily be given by the following formula:

V₀ₓ = V₀ Cos θ

where,

V₀ₓ = horizontal component of velocity = ?

V₀ = Launch Velocity = 10 m/s

θ = Launch Angle of the ball with the horizontal = 30°

Therefore,

V₀ₓ = (10 m/s)(Cos 30°)

V₀ₓ = 8.66 m/s

b)

The magnitude of the vertical component of launch velocity can easily be given by the following formula:

V₀y = V₀ Sin θ

where,

V₀y = vertical component of velocity = ?

V₀ = Launch Velocity = 10 m/s

θ = Launch Angle of the ball with the horizontal = 30°

Therefore,

V₀y = (10 m/s)(Sin 30°)

V₀y = 5 m/s

c)

The magnitude of the velocity vector will be equal to the resultant velocity or net velocity, which is 10 m/s.

Magnitude of Velocity Vector = 10 m/s