This country and the chairs they experience after their independence was , in part due to lack of experience in democratic self -government

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A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the edge of the table in the horizontal direction,

This is further explained below.

Generally, the equation for motion is mathematically given as

S= ut + 0.5at²

Therefore

y = Voy t + 0.5gt^2

1 = 0.5x 98 x 6²

1=4.9t^2

[tex]t=\sqrt{0.2041 }[/tex]

t= 0.45 seconds.

b) Horizontal motions are uniform.

V=Horizontal displacement/time

V=1/0.45

V=2.22m/s

C)

Vx: 2.22 m/s At bottom,

Vy² = Voy² + 2as

Vy² = 2x95x1

Vy² = 19.6

Total velocity

[tex]VT=\sqrt{( 2.22 m/)^2+19.6}[/tex]

VT=4.95 m/s

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Answer:

Option B - 360 J

Explanation:

One of the formulas used to find out how much work was done is :

E = 0.5×m×v² (where m is the mass and v is the velocity)

Now we substitute values from the question and simplify :

E = 0.5×500×1.2²

E = 250×1.2²

E = 250×1.44

E = 360 J

So our answer is Option B

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Answer:

6 amps

Explanation:by Kirchhoff's loop rule the current at any point in the loop must be equal or charge would be building up. The current at the ammeter is equally to the total current through the sun of the paths in parallel which it is in series with

Answer:

the cell is the smallest unit

120V is the line-to-neutral voltage .

It is defined as the voltage of a power transmission circuit or distribution circuit up to the point of transformation or utilization.

The secondary line voltage is [tex]V_{L} = 280 V[/tex]

The notation AC indicates that the current is an alternating current.

The given formula is [tex]V_{ph} = \frac{V_{L} }{\sqrt{3} }[/tex]

Substitute  208 V into the formula

[tex]V_{ph} = \frac{V_{L} }{\sqrt{3} } \\\\V_{ph} = \frac{208V}{\sqrt{3} } \\\\= 120 (Approx)[/tex]

So, the line-to-neutral voltage is 120 V.

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The changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.

The term conservation of energy means that energy can not be created nor destroyed.

In this case, the changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.

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Answer:

People used wind energy to propel boats along the Nile River as early as 5,000 BC. By 200 BC, simple wind-powered water pumps were used in China, and windmills with woven-reed blades were grinding grain in Persia and the Middle East.

Explanation:

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The weight must be 288N placed on the end of the spring when it is 2m from the ground.

If an object is lifted, work is done against gravitational force. The object gains energy.

Given is a spring has a spring constant of 48 N/m. The end of the spring hangs 8 m above the ground. The final height of weight above the ground, h =2m

Using Hooke's law, expressed as

Force, F = k (x₂-x₁).

Put the values, we get

F = 48 (8-2)

F = 288 N

This force applied on the spring is equal to the weight placed on the spring.

Weight W= 288N.

Thus, the weight must be 288N.

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The radius of a magnesium atom is 0.160nm. The radius of a nucleus is about 1/10000 that of an atom.

The nucleus is an organelle that contains the DNA i.e. genetic material and other materials which is required for cellular processes. It is only found in eukaryotic cells that is responsible for controlling the processes of the cell.

So we can conclude that the radius of a magnesium atom is 0.160nm which is equals to about 1/10000 radius of that atom.

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Answer:

B. A sharp

Explanation:

Hi! digital forensics is important because not only does digital forensics allow cyber security organisations to develop technologies that can prevent hackers from accessing devices, websites and networks but can lead businesses in the direction of understanding exactly what data is compromised.

Answer:

6 m/s

Explanation:

Average velocity = Total distance covered / Time taken to cover distance

Finding Average Velocity :

⇒ 20 m + 40 m / 2 s + 8 s

⇒ 60 m / 10 s

⇒ 6 m/s

a body covers a distance of 20 m in 2 second and then covers 40 metre in next it s8 on a straight line calculate its velocity.

So the Average velocity is 6m/s²

As a result this technological improvement, our structural information of rocks has improved greatly.

A petrographic microscope is a type of optical microscope that is used to identify rocks and minerals in very thin sections and also to investigate microscopic textures and features that are present in minerals and rocks.

This has improved greatly recent structural information about rocks.

Hence, microscopes used in the study of structures of rocks has overtime improved greatly our structural information about them

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Answer:

B is the correct answer.

Explanation:

Answer:

c

Explanation:

The reason why the moon does not fall back to the earth is that  the Moon's rotation about its own axis creates centripetal force

that balances Earth's pull.

The gravitational force is the force that keeps the solar system together. All the members of the celestial bodies are held in place by gravity.

Thus, the reason that keeps the moon from falling back to the earth is because the Moon's rotation about its own axis creates centripetal force that balances Earth's pull.

Hence,  their tangential velocity is sufficient to ensure that the flight path misses the object being orbited. The centripetal force is enough to bend the otherwise straight path into an ellipse.

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Answer:

  D. The Moon has a large tangential velocity that causes it to "miss" Earth as it falls toward it.

Explanation:

You want to know what keeps the Moon from falling directly to Earth.

The Moon does not fall directly to Earth because the direction of motion is more or less perpendicular to the direction of Earth from the Moon. That is, the large tangential velocity causes it to "miss" Earth.

Additional comment

One object will orbit another if their mutual gravitational attraction provides enough acceleration (change in speed and/or direction) to bend the path into a circular or elliptical one. If the acceleration is too little, the path may be bent, but no orbit will be established. If the acceleration is too great, the path may be bent to a curve that ultimately causes the objects to collide.

In general, the multi-body dynamics present in the solar system mean that the orbits of various objects are chaotic. In the short term, they are fairly predictable, but short-term behavior may not be predictive of long-term behavior.

Two wires increase in length by the same amount when both their temperatures increase by the same amount, the shortness of the wire before the temperature increase is mathematically given as

dL=0.1485m

Generally, the equation for change in length is mathematically given as

[tex]dl=lo \alpha dt[/tex]

Therefore

dl1=dl2

Where

a2=1.35a1

Hence

a1l1dt= a2l2dt

a1(1.2525)= a1*(1.135)(l2)

L2=1.104m

In conclusion, a change in length due to temperature is

dL=1.2525-1.104m

dL=0.1485m

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Answer:

20m

Explanation:

So the formula for PE(Potential Energy) = Mass x Acceleration x Height

So we are given the following

PE = 1960

Mass = 10Kg

Acceleration = 9.8m/s^2 (The reason we have an acceleration is due to gravity)

Height = ?

So to calculate height we will use the same formula

1960 = 10 x 9.8 x h

1960 = 98 x h

1960 = 98h

we divide 98 on both sides

H = 20m

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Answer:

resolution

Explanation:

  That is the definition of resolution

Answer:

Power in the circuit is 0.1 amp

Explanation:

The power in the circuit is given by the formula

      P = V x I

Where P is Power, V is voltage supplied and I is current in circuit.

so,      I = P/v

            = 2/20

            =0.1 A

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The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C

Reading in kelvin scale = 252.5 K

The relationship between Fahrenheit and celsius can be expressed as

F = (9/5)(C) + 32 ---- ( 1 )

Therefore the temperature at which Fahrenheit scale quarters the celsius scale is :

F = 1/4 C --- ( 2 )

Back to equation ( 1 )

1/4 C = (9/5)(C) + 32

1/4C - 9/5C = 32

C ( 1/4 - 9/5 ) = 32

C = 32 / ( 1/4 - 9/5  )

   = -20.64⁰C

F = 1/4 ( -20.64 ) = -5.16 ⁰F

Hence we can conclude that The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C. Reading in kelvin scale = 252.5 K

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Answer:

16 seconds

Explanation:

we want to find the acceleration first:

F = ma

50/400 = a

a = 0.125 m/s²

laws of motion formula:

vf = vi + at

12 = 10 + 0.125t

t = 16 seconds

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Answer:

a its final velocity

Explanation:

Answer:

Work done =3 joules

Explanation:

1 volt is the same as 1 Coulomb and 1 Joule

V=W/Q

1=W/3

W=3 x 1

W=3 Joules

The angles in the triangle are 91 degrees, 53 degrees and 36 degrees respectively.

From the cosine rule we know that;

c^2 = a^2 + b^2 - 2abcosC

Since;

a = 0.47 m

b =  0.62 m

c =  0.78 m

Then;

(0.78)^2 = (0.47)^2 + (0.62)^2 - 2(0.47 * 0.62)cosC

0.61 = 0.22 + 0.38 - 0.58 cosC

0.61 - ( 0.22 + 0.38) = - 0.58 cosC

0.01 = - 0.58 cosC

C = cos-1(0.01/-0.58)

C = 91 degrees

Using the sine rule;

b/Sin B = c/Sin C

0.62/sinB = 0.78/sin 91

0.62/Sin B = 0.78

B = sin-1 (0.62//0.78)

B = 53 degrees

Angle A is obtained from the sum of angles in a triangle;

180 - (91 + 53)

A = 36 degrees

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The power dissipated by the LED is 20 Watts and the work done for 1 hour 15 minutes is 56.25 kJ.

Electrical power is the rate at which electrical work is done.

The LED is 75% efficient means that 75% of power dissipated by the LED is converted to light.

Total power dissipated = 5 × 2.5 = 12.5 Watts

Work done = 12.5 × (1 × 3600 + 15 × 60)

Work done = 56250 J = 56.25 kJ

Therefore, the power dissipated by the LED is 20 Watts and the work done for 1 hour 15 minutes is 56.25 kJ.

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The tension in the string is same in both cases because of the similar mass or weight of the bodies.

Both pulleys have the same mass and same diameter, but one is solid and the other is a hoop, then there is same tension occurs in both cases because tension depends on mass which is similar on both side. We know that tension is the opposite force of the weight.

So we can conclude that the tension in the string is same in both cases because of the similar mass or weight of the bodies.

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Answer:

4.9

Explanation:

Velocity half second before maximum height = Velocity half second after maximum height (Return journey)

For downward journey :

Initial velocity u=0 m/s

We have g=9.8 m/s

Time t= ½s

s

Thus velocity after half second v=u+gt

v=0+9.8× ½ =4.9m/s