If a magnifying glass uses a convex lens of focus length 6.25 cm when it is held 5.20 cm in front of an object what is the image distanceMind your minus signs Unit cm

The rotational kinetic energy of five identical uniform rods is 9436.21 joule.

We need to know about rotational kinetic energy to solve this problem. Rotational kinetic energy can be defined as the energy of a rotating object. The magnitude of rotational energy is

KE = 1/2 . I . ώ²

where KE is rotational kinetic energy, I is inertia and ώ is angular velocity.

From the question above, the given parameters are

L = 0.711 m

m = 2.99 kg

N = 5

ώ = 569 rpm = 59.59 rad/s

Find the total inertia of five identical rods

I = N . 1/2 . m . L²

I = 5 . 1/2 . 2.99 . 0.711

I = 5.31 kg.m²

Calculate the rotational kinetic energy

KE = 1/2 . I . ώ²

KE = 1/2 . 5.31 . 59.59²

KE = 9436.21 joule

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A 10 kg box is pulled across a level floor, where the coefficient of kinetic friction is 0.35. The horizontal force is required for an acceleration of 2.0 m/s2 will be 54.3 N

Newton’s second law states that the acceleration of an object depends upon two variables – the net force acting on the object and the mass of the object.  The acceleration of the body is directly proportional to the net force acting on the body and inversely proportional to the mass of the body.

equation of motion will be

F(net) =  mass * acceleration

F - fr = m * a

where

F = force by which the box is moving

fr = force due to friction

m = mass of the object

a = acceleration by the object is moving

F = fr + m * a

  = (mu * N) + ma                                          where N = mg

  = (mu * mg) + ma

  = (0.35 * 10 * 9.8) + 10 * 2

  = 54.3 N

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The correct answer choice from above among loudness and softness of music in a wave system is connected by means of amplitude of the vibration that produces the sound.

The correct answer choice is option d.

In general, the amplitude of a wave of a music is related to how soft or loud a music is as this depends largely on that force of vibration in the the musical system. For instance, when you hit the the wooden or iron door of a building, a soft sound is produced. This happens simply because amplitude.

Be that as it may, a wave is referred to as a disturbance which travels through a particular medium, transferring energy from one point to another point.

So therefore, the amplitude of a wave goes a long way to determine the loudness and softness of music.

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The tumbling run by Alena lasted for 0.009 seconds.

The time of tumbling can be calculated using the formula -

time = (2 × theta) ÷ (initial angular velocity + final angular velocity)

Keep the values in formula to find the amount of time took while tumbling.

Time = (2 × 0.5) ÷ (43 + 65)

Performing multiplication in numerator and addition in denominator of Right Hand Side of the equation

Time = 1 ÷ 108

Performing division on Right Hand Side of the equation

Time = 0.009 seconds

Thus, Alena took 0.009 seconds in tumbling while performing floor routine.

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Answer:

Explanation:

Mechanical energy

Answer:

The right answer is "sound" or "sound waves"

Explanation:

Electric drills are noisy, but this is not useful, so sound is a wasted energy transfer.

Once a beam of light enters a black hole, it can never exit.

Moreover, A black hole is a region where space-time is so curved that every possible path that light could take eventually curves back inside the black hole. As a result, once a beam of light enters a black hole, it can never exit. Because of this, a black hole is truly black and never emits light. It appears as a dark circle silhouetted by an orbiting disk of hot, glowing matter. The supermassive black hole is located at the heart of a galaxy called M87, located about 55 million light-years away, and weighs more than 6 billion solar masses.

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The new gravitational force when the distance between them is tripled is 4 N.

The gravitation force between the objects is calculated by applying Newton's law of universal gravitation.

F = Gm₁m₂/R²

where;

From the equation above;

F₁R₁² = F₂R₂²

F₂ = F₁R₁²/R₂²

When the distance is tripled,

R₂ = 3R₁

F₂ = F₁R₁²/(3R₁)²

F₂ = F₁R₁²/9R₁²

F₂ = F₁/9

F₂ = 36 N/9

F₂ = 4 N

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The gravitational force between two object is 36 N then the new gravitational force will be 4 N. Hence, option A is correct.

Gravity, also referred to as gravitation, is the unchanging force of attraction that binds everything together in mechanics. Being the weakest known force in nature, it has little effect on determining the intrinsic properties of common objects.

F = Gm₁m₂/ R²

From the equation above;

F₁ × R₁² = F₂ × R₂²

F₂ = F₁R₁²/R₂²

According to the question, when the distance is tripled,

R₂ = 3R₁

F₂ = F₁ R₁²/(3R₁)²

F₂ = F₁ R₁²/ 9R₁²

F₂ = F₁ / 9

F₂ = 36 N/9

F₂ = 4 N

Hence, the new gravitational force will be 4 N.

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The distance that they had traveled after four hours is given by:

c 50 miles.

We are given the a set of points (x,y) in this problem, in which the input and the output are defined as follows:

The endpoints of the segments are as follows:

Hence, the distance that they had traveled after four hours is given by 50 miles, and option c is the correct option in the context of this problem (how long they had traveled).

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The distance of the center pipe to the nearest antinode at the second harmonic frequency is closest to 12 cm.

We need to know about the harmonic frequency to solve this problem. When the string is vibrating at its second harmonic frequency, it should follow the rule

λ = L

where λ is wavelength and L is the length of the string

From the question above, we know that

f = 1150 Hz

L = 0.46 cm

Find the wavelength

λ = L

λ = 0.46 m

The distance from the center of the pipe to the nearest antidote is equal to 1/4 of the wavelength. Hence,

s = 1/4 λ

s = 1/4 . 0.46

s = 0.115 m

s ~ 12 cm

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Answer:

F=m × a - answer is D

Explanation:

F=15N

m=m

a=0.33

15÷0.33=45.45...

Explanation:

56777^7744 hold the 4 nd add 2

120000 Joules of Chemical Energy is used by the climber to climb the rope.

As the climber is moving up, its gravitation potential energy energy (G) will be given by,

Gravitational potential Energy = MgH

G = MgH

Where,

M is mass of climber which is 69 Kg,

g is acceleration due to gravity which is 10m/s².

H is the height above the earth's surface which is 10 meters.

It is provided that the chemical energy is converted to gravitational energy at a rate of 5%.

So, we can write,

5% Chemical energy (C) = Gravitational potential energy (G)

So,

5%C = MgH

Putting all the values,

5C/100 = 60(10)(10)

C = 120000 Joules.

The used chemical energy is 120000 Joules.

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Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

The size of the undertaking would have discouraged a regular man due to its importance.

Magnitude is a way to gauge a star's brightness.

inclination of tree from horizontal =30°

mass of first child m[tex]1[/tex]=50kg

distance of first child r[tex]1[/tex]=1.4

mass of first child  m[tex]2[/tex]=33kg

distance of first child r[tex]2[/tex]=2.10

Torque exerted by first child

T[tex]1[/tex]=m[tex]1[/tex] cos 0*r1

T1=50*9.8 cos27*2*1.4

=489.7513N-M

Torque exerted by second child

T2=m2 cos0*r2

T2=33 *9.8cos27*2

=292.7374

Both torques are in same sense therefore

T[tex]net[/tex]=T1+T2

T[tex]net[/tex]=489.75+292.73

T[tex]net[/tex]=782.48N-m

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Answer:

the velocity of a ball at highest point is 8.5m/s

Explanation:

: The Freefall Problem

Xue,is standing on the roof of a building. Emily is standing below and tosses a ball straight upwards to Xue. It travels up past

Xue, comes back down and Xue reaches out and catches it. Xue catches the ball 6.0 m above Emily’s hands. The ball was

travelling at 12.0 m/s upwards the moment it left Emily’s hand. We would like to know how much time this trip takes.

1. Represent. Complete part A below. Indicate the y-origin for position measurements and draw a sign convention where

upwards is positive. Label the important events.

2. Represent. Complete part C below. Make sure the two graphs line-up vertically. Draw a single dotted vertical line

through the graphs indicating the moment when the ball is at its highest.

A: Pictorial Representation

Sketch, coordinate system, label givens, conversions, describe events

Event 1:

Event 2:

Event 3:

C: Physics Representation

Motion diagram, motion graphs, key events

The total length of the path traveled by an object is the distance. The change in position, from one event to another is the

displacement. Distance is a scalar quantity and displacement is a vector quantity.

3. Reason. Explain why this in this example it is relatively easy to find the displacement, but harder to find the distance.

4. Reason. The BIG 5 equations are valid for any interval of motion where the acceleration is uniform. Does the ball

accelerate uniformly during events 1 and 3? Explain D: Mathematical Representation

Describe steps, complete equations, substitutions with final statement isThere are multiple ways of solving…one

will require the use of the quadratic formula.

The other way will take additional steps.

x = -b+-under root b^2-4ac/2a

If we cut the magnet into smaller pieces as we can see in the image attached to the question then each of the ends of the smaller magnets would form a north and south pole respectively.

The term magnet can be used to describe the material that is able to pick up any magnetizable material. We have to note that a magnet is able to create a magnetic field around it. The magnetic field is the vicinity where the impact of the magnet can be felt.

We know that a magnet has two poles, the north pole and the south pole. These are the points where the influence of the magnetic field is greatest In this discussion, we must keep it at the back of our minds that the influence of the magnetic force is stronger at the ends of the magnet than it is at the center of the magnet as it were.

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Mechanical energy of the coaster is 100 joules.

We need to know about mechanical energy to solve this problem. Mechanical energy is the sum of the potential energy and kinetic energy of an object. It can be written as

E = KE + PE

where E is mechanical energy, PE is potential energy and KE is kinetic energy.

From the question above, the given parameters are

KE = 50 J

PE = 50 J

By substituting the given parameters, we can calculate mechanical energy

E = KE + PE

E = 50 + 50

E = 100 J

The total energy is 100 joules

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If a car can go from 0 - 69 mi/hr in 8.0 seconds, then the final speed after 5.0 seconds would be 41.6 m/s, if its starting speed was 50 mi/hr.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

The acceleration of the car If a car can go from 0-69mi/hr in 8.0 seconds,

69 miles / hour = 69 × 1609 / 3600

                          = 30.83 m / s

v = u + at

30.83 = 0 + a × 8.0

a = 30.83 / 8.0

  = 3.85 meters / second²

50 miles per hour = 50 × 1609 / 3600

                              = 22.35 m / s

The velocity of the car after 5 seconds,

v = 22.35 + 3.85 × 5

  = 41.6 m / s

Thus, the velocity of the car after 5 seconds would be 41.6 m / s.

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Aluminum has the following electron configuration: 1s2, 2s2, 2p6, 3s2, and 3p1.

According to the information supplied, aluminum has an atomic number of 13. That makes it abundantly evident that the nucleus of any atom that is an isotope of aluminum will contain 13 protons. The proton number will be equal to the number of electrons surrounding the nucleus. There will be 13 electrons as a result.

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D=44.13, Horizontal velocity is unimportant. The time it takes the cannon ball to fall to the ground is the key to determining the height of the cliff. where  that cannon is present.

The speed of any projectile travelling along a Horizontal velocity is known as the horizontal velocity. When a particle or object is launched into the air at an angle other than 90 degrees, it moves along the trajectory path and changes the shape of the curve to a parabolic one.

the speed at which velocity changes over time. Due to its magnitude and direction, acceleration is a vector quantity. The first derivative of velocity with respect to time or the second derivative of position with respect to time are further examples. This is called acceleration.

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m.

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Answer: D=44.13, Vertical velocity is not significant. The height of the cliff can be calculated using the time it takes the cannonball to hit the earth. where there is that gun.

Explanation: The horizontal velocity is the rate at which any projectile is moving along a plane. A particle or object that is propelled into the air at an angle other than 90 degrees goes along the trajectory line and transforms the curve's shape into a parabolic one.

the rate of change of velocity over time. Acceleration is a vector number because of its size and directional characteristics. Additional examples are the second derivative of location with respect to time or the first derivative of velocity with respect to time. Here is

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m

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The principal difference between a radio wave and light is that radio waves have significantly lower frequencies than light.

Explanation:

Both radio waves and light are electromagnetic waves; their main difference is their frequency. Radio waves have a lower frequency and longer wavelength than visible light waves. Light waves have a lower frequency and longer wavelength than X-rays.

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Given:

The depth of the trench, d=10,918 m

The refractive index of the water, n=1.33

To find:

The time it takes for the laser beam to reach the bottom of the ocean.

Explanation:

The refractive index of water is given by,

Where c is the velocity of the laser in vacuum and v is the velocity of the laser in water.

On substituting the known values,

The velocity is given by the equation,

Where t is the time it takes for the laser to reach the bottom of the trench.

On substituting the known values,

Final answer:

The laser beam would reach the bottom in 47.5 μs

Less than the angle of incidence, the angle of refraction will exist.

Angle of refraction refers to the angle formed by the refracted ray and the normal at the point of incident.

In a mirror, the angle of incidence and angle of reflection are the same. If the incident ray falls along the normal, the angle of incidence for a plane mirror is 0 degrees rather than 90 degrees.

The behavior of light is described by Fermat's principle, which states that a light ray always chooses the shortest route to its destination. On reflection, the exact same behavior is seen. The angle of incidence and the angle of reflection are equal when a ray is reflected from a plane.

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We will have the following:

First, we are told that the wind accelerates directly northwest, that means that the angle of inclination is 45°, so the following is true:

Then:

So, the magnitude of the final velocity is approximately 81.6 m/s.

Answer:

2.904

Explanation:

It would take an airplane 2.904 hours to travel 1089 miles.

As a fraction, this would equal 363/125

As a percentage, this would equal 290.4%

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The one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is interstellar dust.

The Milky Way is a vast collection of stars dust and gas. It is called a spiral galaxy because it looks like a spinning windmill when viewed from above or below. The Sun is in one of the spiral arms about 25,000 light-years away from the center of the galaxy. Astronomers have released the first images of a supermassive black hole at the center of our Milky Way.

The results provide overwhelming evidence that this object is indeed a black hole and provide valuable clues about the workings of the giant galaxies thought to reside at the center of most galaxies. This extreme environment exposes you to intense UV and X-rays. But much of this activity is obscured from view by a huge plume of interstellar dust. The center of our Milky Way is hidden from the prying eyes of optical telescopes by clouds of dust and gas.

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A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°, then the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

It can be defined as the motion of any object or body when thrown from the earth's surface and follows any curved path under the effect of the gravitational force of the earth.

The horizontal component of the velocity = 21 × cos51 = 15.58 m/s

The vertical component of the velocity = 21 × sin51 = 14.07 m/s

Thus, the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

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With the position of the girl as a reference point, the center of mass is 8 m from the girl position.

If there are two objects as shown on the attached picture, the center of mass is:

xc = m₁ / (m₁ + m₂) . x₁ +  m₂ / (m₁ + m₂) . x₂

From the problem, we know that the boy and his skis have twice the inertia of the girl and her skis. We can replace the mass in the equation with inertia, hence:

xc = I₁ / (I₁ + I₂) . x₁ +  I₂ / (I₁ + I₂) . x₂

Let:

I₁ =  the girl's inertia

I₂ = the boy's inertia

Hence,

I₂ = 2 I₁

Let make the position of the girl as a reference point, then,

x₁ = 0

x₂ = 12

Plug these parameters into the formula:

xc = I₁ / (I₁ + I₂) . 0 + 2 I₁ / (I₁ +  2 I₁) . 12

xc = 2/3 . 12 = 8 m

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The speed at which a wave of frequency of 14 Hz and a wavelength of 3 m will travel is  42 m / s

v = λ / T

f = 1 / T

v = f λ

v = Wave speed

λ = Wavelength

T = Time period

f = Frequency

f = 14 Hz

λ = 3 m

v = 14 * 3

v = 42 m / s

Frequency is the number of time an event occurs repeatedly in an unit amount of time. Its unit is hertz which in terms of SI unit is [tex]s^{-1}[/tex].

Therefore, the speed at which the wave will travel is 42 m / s

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The spring's maximum compression is 0.346 when mass of the block is 0.230 Kg and Speed is 1.40 m/s.

given,

mass of block = 0.230 Kg

speed = 1.40 m/s

spring constant = k = 3.75 N/m

using conservation of energy

a) K.E  =  P.E

1/2mv^2=1/2kx^2

1/2*0.23*1.40^2=1/2*3.75*x^2

X^2=0.120

X=0.346

b) The maximum compression will be equal to the compression in part an if the track is not friction-less.

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