An electrified rod attracts pieces of paper. After a while these pieces fly away! Why?

The non-conservative work done on the boy is 1.337 kJ

Given that,

Mass of boy, m = 68.1 kg

Initial speed of boy, u = 1,60 m/s

The boy then drops through a height of 1.56 m

Final speed of boy, v = 8.51 m/s

Now, we have to find the non-conservative work was  done on the boy.

The Work done by the non-conservative forces is equal to the sum of total change in kinetic energy and total change in potential energy.

[tex]W=\frac{1}{2}m (v^{2}-u^{2})+(0-mgh)[/tex]

[tex]W=\frac{1}{2}m (v^{2}-u^{2})-mgh[/tex]

[tex]W=\frac{1}{2}(68.1) ((8.51)^{2}-(1.60)^{2})-68.1*9.8*1.56[/tex]

W = 1337.62 Joules

or

W = 1.337 kJ

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The pressure exerted by both on the trampoline is 25,480 N/m².

The pressure exerted by both on the trampoline is the force per unit area which is calculated as follows;

P = F/A

where;

Substitute the given parameters and solve for the pressure exerted.

P = (mg)/A

A = 0.25 m x 0.1 m

A = 0.025 m²

P = (65 x 9.8) / (0.025)

P = 25,480 N/m²

Thus, the pressure exerted at any given surface depends on the applied force and the area of the given surface.

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Given:

The length of the pipe is L.

The third harmonic has teh wavelength,

To find:

The type of the pipe

Explanation:

The wavelength of the harmonics for a pipe closed at one end is,

The wavelength of the harmonics for a pipe open at both the ends is,

Here,

The given wavelength is,

which resembles the form,

Hence, the pipe is open at the other end.

The wind velocity at 32 m above the ground is 6.39m/s when the roughness exponent of the surface is 0.23

Given in the problem is

Wind velocity at 13m above the ground v1 =5.2 m/s

Height initially h1 = 13m

height at which wind velocity is to be predicted h2= 32m

surface roughness exponent α = 0.23

Let velocity to be predicted be v2

We know that from the formula

v2= v1*(h2/h1)^α

⇒v2= 5.2 * (32/13)^ 0.23 = 6.39 m/s

Thus the wind velocity at 32m above the ground is 6.39m/s

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Three units deformations observed in these bands.

Elastic force is the force that permits some materials to regain their former shape after being stretched or crushed. Thus, a stretched rubber band is subject to an elastic force.

The rubber band experiment uses a straightforward rubber band to show entropic force and a refrigeration cycle. The rubber band experiment involves stretching and then releasing a rubber band while measuring its temperature.

Always acting in the opposite direction of motion is friction. This indicates that if friction is there, it cancels out some of the force driving the motion (if the object is being accelerated). This results in a decreased acceleration and a smaller net force.

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The springs inside a bathroom scale will be more compressed.

What is acceleration due to gravity?

In physics, gravitational acceleration is the acceleration of an object in free fall in a vacuum (hence no resistance). This is a steady increase in velocity caused solely by the gravitational pull. All objects accelerate at the same speed in a vacuum, regardless of their mass or composition . The measurement and analysis of these velocities is known as gravimetry.

At a fixed point on the surface, the magnitude of the Earth's gravity is the combined effect of gravity and the centrifugal force due to the rotation of the Earth. Free-fall acceleration at various points on the Earth's surface ranges from 9.764 to 9.834 m/s2 (32.03 to 32.26 ft /s2) depending on altitude, latitude and longitude . The old standard is precisely defined as 9.80665 m/s2 (32.1740 ft/s2). Locations that deviate significantly from this value are called gravity anomalies. Other effects such as lift and air resistance are not taken into account.

When the elevator accelerates and shows a higher weight reading. As the lift accelerates and descends, the springs in the bathroom scale are compressed less and the displayed weight value is reduced.

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The wavelength of the reflected light will have a range from 360 nanometers to 700 nanometers.

Constructive Interference may be defined as the process which occurs when the maxima of any two waves add up and the amplitude of the resulting wave will be equal to the sum of the two individual waves. According to the question thickness of coating, d = 295 nm and wavelength varies as n = [(30nm) ^1/2]/λ^1/2.

Also, the wavelength will be expressed as

λ = 2nd/M where M = 1,2,3......

λ = 2d[(30nm)^1/2]/Mλ^1/2

λ^3/2 = (d60nm^1/2)/M

λ = ∛d² 3600 nm/M

Now, if M = 1 then,

λ = ∛295² 3600nm/1 = 679.18 nm

Now, if M = 2 then,

λ = ∛295² 3600nm/2 = 679.18 nm

Now, if M = 3 then,

λ = ∛295² 3600nm/3 = 326.51 nm

So, the range is approximately 360 nm to 700 nm.

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Complete Question:

Scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n = 30.0 nm1/2 /l1/2, where l is in nm. If a 295-nm-thick coating is placed on glass 1n = 1.502 for what visible wavelengths will the reflected light have maximum constructive interference?

The wavelength, the speed of sound and the water level of the next resonant length (the fifth harmonics) are as follows;

An harmonics are waves with a frequency that is an integer multiple of the fundamental frequency.

The given frequency of the sound wave, f = 330 hz

The first water level that gives the first loud sound, l₁ = 17.8 cm

The water level from the open end at the second loud sound, l₂ = 57.3 cm

First part;

The first harmonics that gives the fundamental frequency for the pipe is expressed as follows;

[tex]\dfrac{\lambda}{4} = l_1+e[/tex]
Where;

e = The distance to the antinode of the wave above the top of the pipe

The third harmonics is given by the formula

[tex]\dfrac{3\cdot \lambda}{4} = l_2+e[/tex]

[tex]\dfrac{3\cdot \lambda}{4}- \dfrac{\lambda}{4} = \dfrac{\lambda}{2} = (l_2+e) - (l_1+e) = l_2 - l_1[/tex]

[tex]\dfrac{\lambda}{2} = l_2 - l_1[/tex]

λ = 2 × (l₂ - l₁)

λ = 2 × (57.3 - 17.8) = 79

The wavelength of the wave, λ = 79 centimeters = 0.79 meters

Second part;

Speed of sound, v = f × λ

Therefore; v = 330 Hz × 0.79 m = 260.7 m/s

Third part;

[tex]\dfrac{\lambda}{4} = l_1+e[/tex]

[tex]\dfrac{3\cdot \lambda}{4} = l_2+e[/tex]

Which gives; 3·(l₁ + e) = l₂ + e

3·l₁ + 3·e = l₂ + e

3·e - e = l₂ - 3·l₁

2·e = l₂ - 3·l₁

Therefore, 2·e = 57.3 - 3 × 17.8 = 2.9

The water level for the next resonant length, which is the fifth harmonics, is given by the formula;

[tex]\dfrac{5\cdot \lambda}{4} = l_3+e[/tex]

Which gives;

[tex]l_3 = \dfrac{5\cdot \lambda}{4} - e[/tex]

Therefore;

[tex]l_3 = \dfrac{5\times 79 }{4} - 1.95 = 96.8[/tex]

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The Monkey captured Bryce's spirit inside a circle of salt inside a McDonald's bathroom stall and left after escaping from Lady Bullseye. After several weeks, he finally came back and set him free.

When injected, tranquilizer-filled darts fired by tranquilizer guns temporarily sedate a person or an animal so that they can be handled (or captured) safely. The tranquilizer may be a paralytic, sedative, or anesthetic. There is a long history of using tranquilizer weapons to capture wildlife without harm. The most frequent sensations are relaxation and sleepiness. Negative feelings, stress, or anxiety might also gradually fade away once the sedative starts to work. Your entire body could experience tingling, especially in your arms, legs, hands, and feet.

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The height of the cliff is 24.2 m.

Let:

Using the Second Equation of Motion:

                               [tex]h = ut + 1/2 at^{2} \\h = 0 + 1/2 (10)(2.2)^{2} \\h = 0 + 5(2.2)^{2} \\h = 5(4.84)\\h = 24.2m[/tex]

The Second Equation of Motion establishes a relationship between displacement and time. It can be used to calculate the displacement and time, in different conditions.

The cliff was 24.2m high above the water surface, into which the cliff diver dived.

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The main reason for the sea level rise is the melting of the ice, as the icebergs are melting due to the increase in the average temperature of the earth, therefore the correct answer is option A.

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

Thermal expansion is unrelated to the sea level rising.

Since icebergs are melting due to an increase in the earth's average temperature, melting ice is the primary cause of sea level rise, therefore the correct answer is option A.

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I think Twelve is the answer

The magnitude of the acceleration of the box is  = 0.625 m/s²

Friction is the pressure resisting the relative movement of strong surfaces, fluid layers, and material elements sliding in opposition to each other. There are numerous kinds of friction: Dry friction is a pressure that opposes the relative lateral motion of strong surfaces in touch.

Pressure is a power that could exchange the movement of an object. A pressure can reason an item with mass to alternate its speed, i.e., to boost up. pressure also can be defined intuitively as a push or a pull. A force has each magnitude and course, making it a vector amount.

Acceleration is the price of trade of the rate of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by way of the orientation of the net force performing on that object.

Force = mass × acceleration

acceleration = force / mass

                       = 25 / 40

                       = 0.625 m/s²

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The load a speaker provides on an amplifier is referred to as speaker impedance. That is, in fact, the result of speaker impedance.

Speaker impedance is defined as the "resistance" a speaker provides to the current delivered by an amplifier in technical terms.

The resistance is known as impedance because an amp's output current is AC (as opposed to DC, like from a battery), not DC. To be completely technical, impedance is the result of adding any reactance present in an AC circuit to DC resistance.

Just keep in mind that speaker impedance impacts how much current is drawn from the amplifier without getting too technical.

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The horizontal distance between the end of the rifle and the eye of the bull is equal to 50.35 m.

The equations of motion can be described as the equations which set up the relationship between the velocity of the object, the acceleration, time, and distance of the moving object.

Consider that a vector r, which describes the position of the bullet when it reaches the target, is composed of [tex]r_x[/tex] and [tex]r_y[/tex]

[tex]r = (r_x, r_y)[/tex]

Given that [tex]r_y[/tex] is -0.029 m (the reference is located at the end of the rifle),

r =([tex]r_x[/tex], -0.029 m)

The vertical position of the bullet at time 't'  can be written in form of an equation as follows:

[tex]y = (y_o +v_oy) t + \frac{1}{2} g t^2[/tex]

The vertical component of the speed at t = 0 is 0, then, acceleration, v₀y = 0 and y₀ = 0.

Then, we can find the time for the vertical position (y) of bullet -0.029 m:

-0.029 m =(0)t - (1/2) · (9.8 m/s²) · t²

t = 0.077 sec

The equation for the horizontal position  can be written as:

x = x₀ + (v₀x) · t

Since the origin of the reference system is located at the bullet starts its trajectory, x₀ = 0.

x = (v₀x) · t

x = (655) × 0.077 = 50.35m

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        When acceleration is constant, we may connect displacement to time and velocity, two of the other three parameters that describe motion, using the following three equations: d = ( 1 2 ) ( 1 2 ) (v f + v I (t) (Equation 1) D = v I t + a t + 1 2 (Equation 2) V I 2 + 2 a d = v f 2 (Equation 3).

         Displacement is directly proportional to the square of the length of the linear motion when acceleration is constant and beginning velocity is zero.

Solution:-

vi =+245km/h

aavg = -3.0m/s2

vf =vi -(0.200)vi

vi =(245km/h)(1h/3600s)(103m/1km)= +68.1m/s

vf =(1.000-0.200)vi =(0.800)(68.1m/s)=+54.5m/s

Δt=vf -vi /aavg

 = 54.5m/s - 68.1m/s / -3.0m/s2

 =-13.6m/s /-3.0 m/s2

 =  4.5s

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The kinetic energy is changed to thermal energy by brake friction and turns to zero.

We need to know about kinetic energy to solve this problem. Kinetic energy is the energy from a moving object. It can be determined as

KE = 1/2 . m . v²

where KE is kinetic energy, m is mass and v is speed.

From the question above, we know that

v1 = 100 mph

KE2 = 0 joule

When the car moves at 100 mph, the car has kinetic energy. But on the way when the driver brakes the car, the kinetic energy is changed to thermal energy by brake friction. Hence, the kinetic energy is reduced every time and finally turns to zero.

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It falls 9.8m far for the apple to drop from tree in 1.4sec.

Apple fall time t = 1.4 s

The free fall distance in time t is given by

d = 1/2at²

where a = g = 10 m/s² = free fall acceleration

calculation:

Using the above formula and the values ​​given, the distance the apple will fall free in 1.4 seconds is

d = 1/2(10)(1.4)²

= 9.8 m

Therefore the distance um the apple will fall is 9.8 m.

Isaac Newton formulated gravitational theory in 1665 or 1666 after watching an apple fall. An apple falling from a tree is an example of Straight-line motion because gravity causes it to fall vertically in a straight line.

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The displacement of the team is 2.74 miles due east and 7.52 miles due north from where they started.

The eastward displacement of Ida Haitarun and his team during the cross country race is calculated by forming a right triangle from the displacement of the team.

The angle of inclination of the displacement is calculated as follows;

θ = 90⁰ - 20⁰ = 70⁰ (above the horizontal)

The eastward displacement is the base of the triangle and it is calculated as follows;

cos θ = base / hypotenuse side

cos 70 = base / 8 miles

base = (8 miles) x (cos 70)

base = 2.74 miles

The northward displacement is calculated as follows;

sin θ = height / hypotenuse side

sin 70 = height / 8 miles

height = (8 miles) x (sin 70)

height = 7.52 miles

Thus, the team is 2.74 miles due east and 7.52 miles due north from where they started.

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Unless a light ray comes into contact with a surface or enters a different material, it travels in a​ straight line.

When light enters a medium with a different speed or transitions from a fast to a slow medium, refraction occurs. According to Snell's law, if a light ray is incident ordinarily on the surfaces, then deviating from the normal will always lengthen the travel time.

Theoretically, sine (angle of incidence)*index of refraction of the incident media = sine (angle of refraction)*index of refraction of the refractive medium

Sine (0)=0 because the angle of incidence is 0 degrees.

As a result, the light ray will travel straight.

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Her mass is approximately equal to 27 kilograms.

First of all, you need to understand that momentum is a conserved quantity and the solution to this problem involves elastic collision.

Momentum can be defined as p = mv where p is momentum, m is mass, and v is velocity. Just like energy, momentum is a physical quantity that is conserved in an isolated system. Momentum is conserved as a result of Newton's third law, which states that [tex]F_A=-F_B[/tex].

You are given that the ice skaters bounce off each other, meaning the collision is elastic. Remember that in an elastic collision, m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂ where

Suppose that m₁ = 49 kg, m₂ = x, u₁ and u₂ = 0 m/s, v₁ = 2.1 m/s, and v₂ = 3.81 m/s. Then the mass of the other ice skater is as follows:

49 · 0 + x · 0 = 49 · 2.1 + x · 3.81

0 = 102.9 + 3.81x

3.81x + 102.9 = 0

3.81x = -102.9

x ≈ -27

Since a mass value can't be negative, the absolute value of x is 27. Therefore, it's her actual mass in kilograms.

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The net acceleration of the block is about -2.04m/s².

The mass of the block is 20Kg. The force applied is 50 N and the angle at which the force is applied is 25°. The coefficient of friction is 0.20.

When the block will be pulled along horizontal by applying Force fat an angle A, then there will be two components of force one along vertical fsinA and one along horizontal fcosA.

The friction will be in opposite direction,

So, we can say, the net Force F on the block is,

F = Fr - fcosA

Ma = uN -fcosA

Where,

a is the acceleration of the block,

M is the mass of the block,

N is the normal force,

f is the applied force and,

u is the coefficient of friction.

Putting all the values,

20(a) = 0.2(50)sin(25°) - 50cos(25°)

20a = 0.2(0.42)(50)-50(0.9)

20a = 4.2 - 45

20a = 40.8

a = -2.04m/s².

The net acceleration of the block is -2.04m/s².

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The bird's average speed when he flies 10 m/s for 3 s, 15 m/s for 3s and 20 m/s for 4 s is 15.5 m/s. The right option is C 15.5 m/s

Average speed can be defined as the ratio of the total distance to the total time traveled by an object.

To calculate the average speed of the bird, we use the formula below.

Formula:

From the question,

Givne:

Substitute these values into equation 1

Hence, the average velocity of the bird is 15.5 m/s.

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Answer:

20 N

Explanation:

logically it'd be 20 N due to the fact that it's a rectangular shape. You pretty much look at the counterpart and copy and paste it to the other side.

Magnetic fields can be used to excite electrons in atoms because a magnetic field can pull or push electrons.

Magnetic fields pull and push electrons which leads to the excitation of electrons. Metals have electrons that are loosely held together. Moving a magnet around a coil of wire around a magnet pushes the electrons in the wire that creates an electrical current. The magnetic force will not change the speed of an electron because the magnetic force is always perpendicular to the speed. Current in these coils causes the deflection of the electrons that is perpendicular to the magnetic field which is to the direction of the electrons.

So we can conclude that magnetic fields can pull or push electrons so that a magnetic field can be used to excite electrons.

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The stationary satellite crosses the equator at a speed of 1180 kilometres per hour.

At the equator, where the Earth's circumference is 40,070 kilometres and the day lasts for 24 hours, the speed is 1670 kilometres per hour (1037 miles per hour). This slows down by the latitude's cosine, so at a latitude of 45 degrees, cos(45) =. 707, and the speed is. 707 x 1670 = 1180 kilometres per hour.

The daily motion felt on our earth is brought on by this spinning. You would move at almost 1,000 miles per hour (1,600 km/hr) if you were standing on the equator of the Earth, but your pace would slow down if you started moving in the direction of the North or South Poles.

A latitude of 45 degrees, cos(45) =. 707, and the speed is. 707 x 1670 = 1180 kilometres per hour.

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magnitude of the momentum of the combined mass immediately after the collision  p = 0. 478 (kg. m/sec)

Mass of bullet : m = 5. 25 (g) = 0. 00525 (kg)

Mass of block : M = 360 (g) = 0. 360 (kg)

Height : h = 8. 75 (m) = 0. 0875 (m)

Here we need to find the momentum :

Now,

As we know that,

The conservation of energy :

Now,

Kinetic energy = Potential energy

= 1/2( m + M)v² = (m+M)gh (m,M is mass of bullet and block)

Now,

v = [tex]\sqrt{2gh}[/tex]

Now,

Momentum can be defined as :

Here,

p = (m+ M) [tex]\sqrt{2gh}[/tex]. . . eqn 1

Putting the values in eqn 1 :

We get,

p = 0.478 (kg. m/sec)

Hence, the momentum : p = 0. 478 (kg. m/sec)

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With 1 scoop of flour, Olivia can bake 15 biscuits if the the equation that shows the relation between number of biscuits and amount of flour is c = 15f.

c = 15 f

c = Number of biscuits

f = Number of scoops of flour

f = 1

c = 15 * 1

c = 15

This equation shows that number of biscuits that can be made is 15 times the number of scoops of flour. So if the number of scoops of flour is 1, the number of biscuits that can be made is 15.

Therefore, with 1 scoop of flour, Olivia can bake 15 biscuits

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