A hollow cylinder is given a velocity of 5.3 m/s and rolls up an incline to a height of 2.87 m. If a hollow sphere of the same mass and radius is given the same initial velocity, how high (in m) does it roll up the incline

22 year solar cycle is characterized by a variation in the number of sunspots and a reversal of the polarity of the Sun as a whole.

What are sunspots?

Sunspots are caused by disturbances in the Sun's magnetic field welling up to the Sun's visible surface.

Sunspot are region of the earth that are more darker than other surfaces. They have a reduced temperature.

If sunspots are active, more solar flares will result creating an increase in geomagnetic storm activity for Earth.

Here, the sun's magnetic field changes polarity approximately every 11 years. So, for reversal polarity of the sun, 22 year solar cycle is characterized by a variation in the number of sunspots and a reversal of the polarity of the Sun as a whole.

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Solar energy and Hydro is the correct option.

Today's energy supply is provided by solar energy and Hydro as compared to our ancestors because our ancestors have no modern technology to obtain energy from sun and water. They get energy from burning of fossil fuels and biomass.

So we can conclude that solar energy and Hydro is the correct option.

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Answer:

acceleration, a = 11m/s² ; time, t = 0.84sec

Explanation:

Fw = mass(m) × acceleration due to gravity(g)

Fw = 71.9kg × 10m/s²

Fw = 719N

F = Fw(sintheta+coefficient of friction(costheta))

F = 719(sin38° + 0.61(cos38°)

F = 719(0.615661475+0.480686559)

F = 719(1.096348034)

F = 788.27N

Force(F) = mass(m) × acceleration(a)

Make acceleration the subject

acceleration = Force÷ mass

a = 788.27÷719

a = 11m/s²

using this formula v² = u² +2gh

v² = 0² + 2×10m/s²×4.3m

√v² = √86

v = 9.27m/s

acceleration = velocity/time

make time the subject

time = velocity/acceleration

t = 9.27m/s/11m/s²

t = 0.84sec

CR​ < CY​ < CB​

The factors which affect the critical angle are

(a) The colour (or wavelength) of light

(b) The temperature

(i) Effect of colour of light: The critical angle for a pair of media is less for the violet light and more for the red light. Thus the critical angle increases with the increase in wavelength of light.

(ii) Effect of temperature: The critical angle increases with increase in temperature because on increasing temperature of medium, its refractive index decreases.

According to the question,

μ 1​ sinCR​ =1

μ 2​ sinCY =1

μ 3​ sinCB​ =1

μ 1​ > μ 2​  and μ 2​ > μ 3

⟹μ 1​ > μ 2​ > μ 3

CR​ < CY​ < CB​

Thus,

The critical angle increases with the increase in wavelength of light.

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Kinetic energy of the pile driver is 10 KJ.

To find the answer, we need to know about the conservation of mechanical energy.

Conservation of mechanical energy says that the total energy of a system remains same during a process.

Thus, we can conclude that the increased kinetic energy is 10KJ.

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The toddler's change in velocity in metres per second is 1.68 m/s

To answer the question, we need to know what acceleration is

Acceleration is the change in velocity of an object with time. It is given by

a = Δv/Δt where

Making Δv subject of the formula, we have

Δv = aΔt

Since the toddler's accleration is 0.24 m/s² and got up from a nap and ran for 7.0 seconds,

Substituting the values of the variables into the equation, we have

Δv = aΔt

Δv =  0.24 m/s² × 7.0 s

Δv =  1.68 m/s

So, the toddler's change in velocity in metres per second is 1.68 m/s

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The great astronomer of ancient times who summarized and improved...in a book now called The Almagest) is Ptolemy This is further explained below.

Generally, Claudius Ptolemy was a Greek mathematician, astronomer, and geographer who lived in the second century CE and is best known for proposing the geocentric model of the cosmos, which was used to explain planetary and stellar movements for the next thousand years.

In conclusion, Ptolemy, the ancient world's preeminent astronomer, compiled and refined a system of circles inside circles to describe the complexities of planetary motion, publishing his work in what is now known as The Almagest.

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The jumper's takeoff speed and hang time are equal to 5.50 m/s and 1.12 seconds respectively.

In this scenario, the takeoff speed is the same as the initial velocity of the jumper and it can be calculated by using the third equation of motion. Also, since the motion is against gravity, the acceleration due to gravity will be negative (g = -9.81 m/s²)

V² = U² - 2gS

U² = V² + 2gS

U² = 0² + 2(9.81)(1.54)

U = √30.22

U = 5.50 m/s.

Next, we would calculate the peak time by using the first equation of motion:

V = U - at

0 = 5.5 - 9.81t

9.81t = 5.5

t = 5.5/9.81

t = 0.56 seconds.

Mathematically, the hang time is double the peak time:

Hang time = 2 × 0.56

Hang time = 1.12 seconds.

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The power of the transmitted beam is 28.1*10^-3.

The wireless strength consortium turned into installed in 2008 to expand interoperable standards across producers. Its Qi inductive power standard published in August 2009 enables high-performance charging and powering of portable gadgets of up to five watts over distances of four cm (1.6 inches).

Electricity transmission is the motion of power from its region of technology to a region wherein it is implemented to perform beneficial paintings. Power is defined officially as units of electricity consistent with units of time.

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Answer:

D. A followed by B

Explanation:

You can see at section A solid Ice at temperature 0°C gets heated up for and all the energy generated from heating up the ice is used to break the bonds which holds the ice together as a solid .

while at Section B the liquid water at 100°C changes to vapor because the heat energy applied here breaks intermolecular bonds c.

The section where A is followed by C of the heating curve illustrate this process. The correct option is D.

The heating curve represents the association between the supply temperature of the heating system and the external air temperature.

As can be seen in section A reliable Ice at 0°C is heated, and all of the energy generated by heating the ice is used to shatter the bonds that hold the ice together as a solid.

While in Section B, liquid water at 100°C transforms to vapor because the heat energy applied here shatters the intermolecular bonds c.

Thus, the correct option is D.

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Answer:

0.545g/cm OR 545kg/m(both answers are in cubic)

Explanation:

first we have to find mass of liquid x

mass= density × volume

=25 cubic centimetre × 1.2g/cm

=3g

liquid y= density × volume

=30 cubic centimetre × 0.9g/cm

= 27g

next,we add the two masses

27+3

30g(mass of the whole mixture)

formula for finding density of the mixture

Mass1+ Mass2 ÷ Volume 1+ volume 2

30g ÷55 cubic centimetre

the answer will be a recurring decimal and as we know,we write decimals in 3 significant numbers so we round off

0.5454g/cm= 0.545g/cm and in SI units it's

545kg per cubic meter

Vertical force on left support = 2891 N

Vertical force on right support = 1323 N

Let's assume the Length of the horizontal beam = L(see diagram)

Mass of beam (m) = 110kg

Mass of piano(M) = 320kg

Weight of the Horizontal beam(W1) =mg = 110×9.8= 1078N

Net force acting on the beam =0

[tex]F_{L}[/tex] - Mg - mg + [tex]F_{R}[/tex] = 0

[tex]F_{L}[/tex] = Force support to the left

[tex]F_{R}[/tex] = Force support to the right

τ = F×r where, τ= Torque

Net torque is also 0

[tex]F_{R}[/tex]L - Mg[tex]\frac{L}{4}[/tex] - mg[tex]\frac{L}{2}[/tex] =0

[tex]F_{R}[/tex] = ([tex]\frac{M}{4} + \frac{m}{2}[/tex])g = 1323 N

[tex]F_{L}[/tex] = (M + m)g - [tex]F_{R}[/tex] = 2891 N

Hence Vertical force on left support is 2891 N and on right support is 1323 N

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(1) The wavelength of the wave is 1.57 m.

(2) The velocity of the wave is 30 m/s .

(3) The frequency of the wave is 19.10 Hz and the time period of the    wave is 0.052 s.

Note: The given equation seems to be incomplete. Most probably the equation was y=25sin(120t-4x). And the standard system of units (i.e. kg, m, s) is used.

Wavelength: The distance between the consecutive crest or trough of a wave is called the wavelength of a wave.

The equation of a plane wave oscillating in the y direction and traveling in the x direction is given by the equation,

y=A sin(ωt-kx)

where y is the displacement along the y direction, A is the amplitude of the wave, ω is the angular frequency, t is the time, x is the displacement along the x direction, and k is the wave constant.

The given equation is,

y=25sin(120t-4x)

Comparing this equation with the above equation, following values are obtained.

k= 4 m^(-1)

ω =120 rad/s

A=25

The wavelength λ is given by the formula,

λ=2π/k

Here k = 4 m^(-1), so

λ=2π/4

λ=1.57 m.

Velocity: The velocity of a wave is the product of the frequency and the wavelength.

The velocity v is given by the formula,

v=ω*λ/2π

Here ω=120 rad/s and λ=1.57 m, so

v=120*1.57/2π

v=30 m/s

Frequency: The number of oscillations completed in one second is called the frequency of a wave.

The formula of the frequency is,

f=v/λ

Here v=30 m/s and λ=1.57 m, so

f=30/1.57

f=19.10 Hz

Time period: The time taken to complete one cycle of oscillation is called the time period of oscillation.

The formula to calculate the time period T is,

T=2π/ω

Here ω=120 rad/s, so

T=2π/120

T=0.052 s.

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Answer:

The approximate magnitude of the force of air resistance is 540 N.

Explanation:

In an isometric transformation, the shape does not change size.

A shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry). The isometric transformations include translation, rotation, and combinations thereof, such as the glide, which combines a translation with a reflection.

A stiff transformation called an isometry keeps perimeter and area constant while preserving length and angle measurements.

As a result, while dilations are not isometric since the image and preimage are comparable figures rather than congruent figures, translations, reflections, and rotations are.

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Scurvy and rickets are micronutrient deficiency diseases due to a lack of certain vitamins or minerals in the diet. Scurvy is caused by vitamin C deficiency and rickets by vitamin D.

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Due to geographical location of new zealand and sydney, they celebrate the new year hours before it is celebrated in india.

New Zealand and Sydney celebrate the new year hours before it is celebrated in india because of its geographical position close to the International Date Line. New Zealand is considered one of the first countries in the world that welcome the New Year.

So we can conclude that due to geographical location of new zealand and sydney, they celebrate the new year hours before it is celebrated in india.

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Let [tex]\vec u[/tex] and [tex]\vec v[/tex] be the vectors, and let [tex]x=\|\vec u\|=\|\vec v\|[/tex] be their common magnitude.

The resultant [tex]\vec u + \vec v[/tex] is [tex]\sqrt 2[/tex] times larger in magnitude than either vector alone, so [tex]\|\vec u+\vec v\| = \sqrt2\,x[/tex].

Recall the dot product identity

[tex]\vec a \cdot \vec b = \|\vec a\| \|\vec b\| \cos(\theta)[/tex]

where [tex]\theta[/tex] is the angle between the vectors [tex]\vec a[/tex] and [tex]\vec b[/tex]. In the special case of [tex]\vec a=\vec b[/tex], we get

[tex]\vec a \cdot \vec a = \|\vec a\|^2 \cos(0^\circ) \implies \|\vec a\| = \sqrt{\vec a\cdot\vec a}[/tex]

Now, to get the angle between [tex]\vec u[/tex] and [tex]\vec v[/tex], we have

[tex]\vec u \cdot \vec v = \|\vec u\| \|\vec v\| \cos(\theta) \implies \cos(\theta) = \dfrac{\vec u \cdot \vec v}{x^2}[/tex]

To compute the dot product, we take the dot product of the resultant with itself.

[tex](\vec u+\vec v) \cdot (\vec u + \vec v) = \|\vec u + \vec v\|^2[/tex]

Solve for [tex]\vec u\cdot\vec v[/tex].

[tex](\vec u\cdot\vec u) + 2(\vec u\cdot\vec v) + (\vec v\cdot\vec v) = \|\vec u + \vec v\|^2[/tex]

[tex]\|\vec u\|^2 + 2(\vec u\cdot \vec v) + \|\vec v\|^2 = \|\vec u+\vec v\|^2[/tex]

[tex]x^2 + 2(\vec u \cdot \vec v) + x^2 = (\sqrt2\,x)^2[/tex]

[tex]2(\vec u\cdot\vec v) + 2x^2 = 2x^2[/tex]

[tex]2(\vec u\cdot\vec v) = 0[/tex]

[tex]\vec u\cdot\vec v = 0[/tex]

Since their dot product is zero, [tex]\vec u[/tex] and [tex]\vec v[/tex] are perpendicular, so [tex]\theta=90^\circ[/tex].

The magnetic flux associated with the coil is 0 Wb.

Magnetic flux is the total magnetic field that travels through a specific location.

It is a very useful tool for explaining the effects of magnetic force on things in a specific location.

The magnetic flux measurement is location specific.

The magnetic flux through the coil is NBA cosα

where N is number of turns, B is Magnetic field, A is area of coil and α is the angle between normal to the area of coil and the direction of magnetic field.

Magnetic Flux = NBA cosα

We have given number of turns as 100, magnetic field as 3 and area as 5 m².

Also, the value of α will be 90°

Magnetic Flux = NBA cosα Wb

Magnetic Flux = 100 × 3 × 5 × cos90° Wb

Magnetic Flux = 100 × 3 × 5 × 0 Wb

Magnetic Flux = 0 Wb

So we can conclude that the magnetic flux through the coil is 0 wb after applying the above concept.

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The speed of Sammy, given that he expends 1750 J while jogging is 7.1 m/s

The speed of Samnmy can be obtained as illustrated below:

E = ½mv²

1750 = ½ × 69.5 × v²

1750 = 34.75 × v²

Divide both side by 34.75

v² = 1750 / 34.75

Take the square root of both side

v = √(1750 / 34.75)

v = 7.1 m/s

Thus, Sammy is moving with a speed of 7.1 m/s

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In order to determine the kinetic energy of a body, it is important to ask about the mass and velocity of the body.

Kinetic energy is the energy a body possesses due to the motion of that body.

The equation to calculate kinetic energy of a body is given as:

[tex]KE = \frac{1}{2}mv^{2}[/tex]

where

Therefore, it is important to ask what the mass of a body is and the speed at which it is moving in order to determine the kinetic energy of the body.

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A gold leaf electroscope's cap develops a negative charge when a negatively charged rod is brought close to it; the case is then grounded, creating a negative charge in the leaf. Option D is correct.

When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force. A positive or negative electric charge can exist.

Similar charges repel each other, whereas dissimilar charges attract each other.

The term "neutral" refers to an item that has no net charge. A charge is something experienced as a force in the electric and magnetic fields.

When a negatively charged rod is brought near the cap of a gold leaf electroscope whose case ad then is earthed, then the leaf has an induced negative charge.

Hence option D is correct.

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The question is incomplete. Please read below the missing content.

B) The 4 terrestrial planets have to as soon as were hot sufficient to be molten (like a liquid).

Terrestrial planets may be described as any planet of the sun machine or any exoplanet that is "Earth-like" in the experience that it is composed primarily of metals and rock, in evaluation to a planet that's a fuel large.

In the sun machine, the terrestrial planets are the inner planets closest to the solar, i.e. Mercury, Venus, Earth, and Mars.

Scientists believe that the densest, heaviest substances are at the center and not evenly allotted can be due to the truth that they need to once be warm enough to be molten. In this example, density will take region, making the heavier below and the lighter on the pinnacle.

In the four terrestrial planets, the densest, heaviest materials are at the center and not evenly distributed throughout the planet. Scientists interpret this observation to mean that:

a.the four terrestrial planets must once have been inside the Sun

b.the four terrestrial planets must once have been hot enough to be molten (like a liquid)

c.the four terrestrial planets must have formed where Jupiter and Saturn now are

d.the four terrestrial planets must have collided with each other many times

e.none of the above

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Answer:

Mechanical vs. Quartz Watch Movements

Mechanical watch movements are powered by gears and springs. They're autonomous little machines without the need for electric power sources, whereas quartz watches are powered by batteries that vibrate little crystals.

Answer: A 3600 kg boat is moving with a speed of 2.4 m/s. A much smaller 100 kg jet ski has the same amount of kinetic energy. The is the speed of the jet ski is 14.4 m/s².

Explanation: To find the correct answer to the question given, we need to know more about the Kinetic energy.

                        [tex]KE=\frac{1}{2} mv^2[/tex]

                        [tex]\frac{1}{2}m_1v_1^{2} =\frac{1}{2}m_2v_2^2\\ Thus, \\v_2^2=\frac{m_1v_1^{2}}{m_2} =207.36\\v_2^2=14.4 m/s^2[/tex]

Thus, we can conclude that, the is the speed of the jet ski is 14.4 m/s².

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Answer:

M g H = 1/2 M v^2       potential energy = kinetic energy

v^2 = 2 g H = 2 * 9.80 * 6 = 117.6 m/s^2

v = 10.8 m/s    

(C)

From the calculation,  the man has an average velocity of 1.25 m/s.

The man travelled a total distance = 100 m

We know that;

1 complete cycle = 4 s

Then

 20 complete cycle = ?

= 20 x 4 s

= 80 s

So we can find the average velocity from;

Average velocity = 100 m/80 s

Average velocity = 1.25 m/s

Hence, the man has an average velocity of 1.25 m/s.

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The answer is 24 J

F K =.25*8 N

     = 2N

F = f k = 2 N

Since a = 0

W = f * s

 2 N * 12 m = 24 J

The coefficient of friction is a ratio used to quantify the friction force among two gadgets when it comes to the everyday pressure this is keeping them collectively. The coefficient of friction is critical attention at some stage in material selection and floor requirement determination.

For instance, ice on steel has a low coefficient of friction – the 2 materials slide past each different without problems – whilst rubber on the pavement has an excessive coefficient of friction – the substances no longer slide past each other without difficulty.

The coefficient of friction is dimensionless and it does not have any unit. it is a scalar, meaning the direction of the force does not have an effect on the physical quantity. The coefficient of friction depends on the gadgets that are causing friction.

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The frequency of oscillation on the frictionless floor is 28 Hz.

The frequency of the oscillation is calculated as follows;

f = (1/2π)(√k/m)

where;

f = (1/2π)(√7580/0.245)

f = 28 Hz

Thus, the frequency of oscillation on the frictionless floor is 28 Hz.

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