what would happen if you strike the pipe with supports placed at the nodes for the first vibration mode

The fraction of the original kinetic energy of the bullet appears as mechanical energy in the system of block-spring-bullet is 0.72 m.

Amplitude=0.72 m

KE of system=0.5*(1.8+0.06)*8.7^2=70.39 j

Conservation of momentum

0.06*270=(1.8+0.06)*v

v=8.7 m/s

conservation energy

0.5*(1.8+0.06)*8.7^2=0.5*220*x^2+(1.8+0.06)*9.81*x

x=0.72 m

Amplitude=0.72 m

Original KE of bullet = 0.5*0.06*270^2=2187j

KE of system = 0.5*(1.8+0.06)*8.7^2=70.39 j

Amplitude in physics is stated to be the maximum displacement or distance that is moved by a factor on a body that is vibrating or wave measured from its equilibrium role.

As the pendulum swings through its equilibrium point (straight down), it swings to a maximum distance away from the center.

The amplitude of a wave is related to the amount of energy it includes. An excessive amplitude wave consists of a massive amount of power; a low amplitude wave consists of a small quantity of strength. Amplitude and intensity are associated, but not equal.

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Question:

Which is an outer planet in our solar system?

Answer:

B. Jupiter

Answer: Jupiter

Explanation: As its situated outside the asteroid belt

When a body is moving in the same direction, its relative speed is 6m/s, while when it is moving in the opposite direction, it is 42 m/s.

The units used to measure speed and velocity are the same. The meter is the SI unit for measuring both distance and displacement. The second is the second as defined by the International System of Units. Two meters per second divided by two is the SI unit of velocity and speed.

It is calculable using an intermediary reference frame. The velocity vector sum can be used to represent this simply. vAB = vA - vB is the way to express the relative velocity formula.

velocity is the same as the relative velocities of A and B.

A=24,B=18

Vab=24-18=6m/s

In opposite direction

Vab=24-(-18)=42m/s

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a) The maximum height is 3.5 m

b) The time taken to reach this height is 0.85 seconds

c) The time taken to return to the original point is 0.85 seconds.

We know that the maximum height can be obtained from the use of the kinematic equations. We know that;

a) v^2 = u^2 - 2gh

v = final velocity

u = initial velocity

g = acceleration due to gravity

h = maximum height attained

v= 0 /ms at the maximum height

u^2 = 2gh

h = u^2/2g

h = (8.3)^2/2 * 9.8

h = 68.89/10.6

h = 3.5 m

b) Time taken to reach the maximum height;

v = u - gt

v= 0 /ms at the maximum height

u = gt

t = u/g

t = 8.3/9.8

t = 0.85 seconds

c) The time taken to return is the same as the time taken to go up which is 0.85 seconds.

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If the laboratory value of this hydrogen spectral line is detected at 486 nm, the star is moving toward us at a speed of 6.17 105 m/s.

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Cost estimated is ₹[19/4]y/-.

Given :- Power=3kW  , Time=1hr 35min

Now to convert this time completely into hours following steps can be adopted:- 1 min =1/60 hour,       so 35min =35/60 hour

35min= 35/60 =7/12 hour

So total computed time = 1hr + [7/12]hr

computed time =19/12hr

Now since in the question there is no mention about cost , so let the cost be ₹y/unit.

Mathematically , Energy is the product of power and time , i.e.

E= Power x Computed time = 3 x 19/12 = 19/4 units.

Now the energy estimated is 19/4 units whose cost equivalent will be ₹[19/4]y/- , as cost of one unit energy  is ₹y/- so cost of 19/4 energy units will be ₹[19/4]y/-.

Once the cost of one unit energy is known to us then just its value in the place of y and we will get the exact amount expended on the total energy consumption.

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magnitude of kf  and the magnitude of kb depends upon the identity of solvent

Kf is the depression in freezing point produced by 1 molal solution of a nonvolatile solute while Kb is the elevation in boiling point produced by 1 molal solution of a nonvolatile solute.

Boiling point elevation is the difference in temperature between the boiling point of the pure solvent and that of the solution.

Molality is defined as the total number of moles of solute per kilograms of solvent present in the solution.

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0.80tesla is a strength of a magnetic field.

At a distance r from the wire, a current I flowing through a long, straight wire generates a magnetic field with intensity H=I/2r. In other words, the field's strength is inversely proportional to the distance from the wire.

Newtons per coulomb (N/C) or volts per meter (V/m) are the SI units for measuring electric field strength. E = F/q, where F is the force felt by a very small test charge q placed in a field E in a vacuum, gives the force felt by the charge.

given,

I = 5A , r = 1.0m

H=I/2πr

H = 5 / 2*3.14*1.0

H = 0.80tesla

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Frequency is inversely proportional to the wavelength of electromagnetic radiation.

When the wavelength of light is doubled, the frequency is reduced to its original value.

Short wavelength UV (ultraviolet) light will have more energy.

The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as the wavelength.

The relationship between frequency of electromagnetic radiation and wavelength of radiation is:

ν==1/λ

Where,

ν= frequency

As a result, the frequency of electromagnetic radiation is inversely proportional to its wavelength.

The frequency is reduced to its original value when the wavelength of light is doubled.

The energy of a photon is proportional to the frequency of light.

Using Relationship,

E=hν=h c/λ

h = Planck's constant

c = speed of light

Both h and c are constants

As a result, energy will be reduced to its initial value.

The light with the shortest wavelength will have the greatest energy.

UV (ultraviolet) light with a shorter wavelength has more energy.

It is because of the previously stated relationship..

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The music performed on the Chinese instrument was typically fast-paced, technically impeccable, and pitched high. The Korean instrument, however, is normally performed in a low range and with less emphasis.

Chinese musical instrument known as the pipa has four strings and is classified as a plucked instrument. The instrument, which is sometimes referred to as the "Chinese lute," features a peculiar pear-shaped wooden body and 12 to 26 frets.

According to Shanghai Chinese Orchestra director Luo Xiaoci, the guzheng is now regarded as the most well-liked traditional Chinese musical instrument and is comparable to the piano for Western music. A flexible instrument with a wide variety of tones is the guzheng.

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Answer:

sound wave's amplitude relates to the change in pressure caused by the wave measured at a specific location. The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases.

The momentum of a single photon in the pulse is 1.19 * 10^-27 kg m/s.

It is the quantity of motion of a moving body, measured as a product of its mass and velocity.

How to calculate the momentum of a single photon in the pulse?
Wavelength of light is given,
λ = 556nm = 556 * 10^-9m

Wavelength and momentum (p) are related by
λ = h/p

Where h is the planck constant = 6.63 * 10^-34 m^2 kg/s

So, the momentum is

p = h/λ

[tex]\frac{6.63*10^{-34} }{ 556*10^{-9}}[/tex]

p = 1.19 * 10^-27 kg m/s

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The final angular velocity of the merry-go-round is 8 rad/s.

The radius of the Merry-go-round is 1.5 m and it is spinning with a speed of 2rad/s the girl pushes on it for 5 revolutions which applies and acceleration of 3rad/s².

The final angular velocity of the merry-go-round can be given by the equation,

W'² - W² = 2AS

Where,

W' is the final angular velocity,

W is the initial angular velocity,

A is the angular acceleration,

S is the angular displacement which is 10 rad in this case.

Putting values,

W'² - (2)² = 2(10)(3)

W' = 8rad/s.

So, the final angular velocity is 8rad/s.

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The distance between the two asteroids, given that the gravitation force between them is 1030 N, is 3.59×10⁷ m

From Newton's law of universal gravity, we understood that the force of attraction / repulsion between two objects is given as:

F = GM₁M₂ / r²

Where

With the above formula, we can determine the distance between the two asteroids. This is illustrated below:

F = GM₁M₂ / r²

1030 = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / r²

Cross multiply

1030 × r² = 6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴

Divide both sides by 1030

r² = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030

Take the square root of both sides

r = √[(6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030]

r = 3.59×10⁷ m

Thus, the distance between them is 3.59×10⁷ m

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The force on the section of the wall of the airplane is 3N.

The pressure outside the cabin of the commercial airplane is 0.150 atm and the pressure inside the airplane cabin is 0.900 atm.

The dimensions of the section of wall of the airplane are 2.00 m × 2.00m.

The area of the section = 4.00 m².

We know,

Force applied on the portion = pressure applied on that area × area

So, the force on the section of the wall of airplane will be,

Force  = (0.900-0.150)×4

Force = 3N.

So, the force on the airplane is 3 Newtons.

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Answer:use 1/2 x M x V^2

Explanation:

to calculate the kinetic energy, observe the velocity from the graph at 8.0 seconds. and use the formula!

Answer:

Explanation:

it will have constant friction,  or slowing, as it slides along the ice.

Therefore, U equal to cV T represents the change in internal energy for an ideal gas, where cV stands for specific heat (at constant volume) and T for change in temperature.

Increase in temperature is 0.0176 degree Celsius. b. the remaining energy will be lost.

The mass of copper block = 1.8kg

Initial speed = 3.1 m/s

Specific heat of copper = 0.385 j/g degree Celcius.

a. The increase in temperature is calculated below:

Change i kenetic energy = 1/2mv²

= 1/2 *1.8*4²= 14.4J

85% of energy is converted into internal energy.

mc =14.4*0.85

1.8*385 = 14.4*0.85

12.24/693

=0.0176

The remaining  15 per cent of kinetic energy will be lost and it will be changed into other forms.

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The statements is true concerning a magnifying glass is it produces a virtual image.

A divergent lens or a convex mirror are used to create a virtual image. Finding a virtual image involves tracking actual rays that leave an optical tool back to their observed or apparent sources. A virtual image cannot be projected onto a screen because the rays never truly converge.

The mirror reflection is the best illustration of a virtual image. Real images are made when rays connect, but virtual images are made when rays diverge. On a screen, real images can be projected but virtual ones cannot. Two opposing lenses, concave and convex, are used to create real images.

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Copper II oxide is created through the oxidation of copper I oxide, cu2os cu2os. Cuo s An exothermic reaction is Cuo S. The formula is 2cu2o s)+ o2 G 4cuo S.

Cu2O(s), a copper(I) oxide, is oxidized to copper(II) oxide, CuO, by exothermic processes (s). Cu2O(s), a copper(I) oxide, is oxidized to copper(II) oxide, CuO, by exothermic processes (s).

An oxidation reaction is a chemical process that takes place when an object comes into contact with oxygen or another oxidizing agent (OK-sih-DAY-shun). Oxidation is characterized by the brown hue of sliced apples and rust. In the past, the term "oxidation" was used to describe any chemical reaction that involved oxygen and an element. When magnesium metal and oxygen react, magnesium oxide is produced as a result, which serves as an illustration of this.

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It  would be half of (1/2) acceleration due to gravity on an object near the surface of that planet compare to our g.

Gravity on the planet (g') = [tex]\frac{GM}{R'^{2} }[/tex] = G(ρx [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]R^{3}[/tex])/[tex]R'^{2}[/tex]

Where R' is the radius of the planet.

g' = [tex]\frac{4}{3}[/tex][tex]\frac{\pi GPR'}{1}[/tex]

gravity on the Earth (g) = G[tex]M_{E}[/tex]/RE

                                      = G([tex]\frac{P 4/3\pi R_{E} ^{3} }{R_{E^{2} } }[/tex])

                                  g  =  4/3 [tex]\pi[/tex]GP[tex]R_{E}[/tex]

Now, g'/g = R'/[tex]R_{E}[/tex] =  [tex]R_{E} 2[/tex]/[tex]R_{E}[/tex] = 1/2

              g' = 1/2

it would be half of g.

Acceleration is defined as  the rate of change of velocity with respect to time.  Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or  the first derivative of velocity with respect to time. The SI unit of acceleration is  as [tex]m/s^2[/tex].

An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in  direction of motion. Some examples of acceleration are a falling  apple, the moon orbiting  the Earth, or  a car stopping at a traffic light.

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The magnitude of the acceleration of the block is 1.78m/s².

The coefficient of kinetic friction between the block and the ramp is  0.368.

The resistive force of friction (Fr), which pushes the objects together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula represents it: fr = Fr/N.

Given,

m=3.00kg, θ=30° ,

x= 2.00m, t=1.50s.

constant rate of acceleration,

[tex]X_{f} = v_{i} t[/tex] + 1/2at²

solving,

a = 2([tex]X_{f}[/tex]-[tex]v_{i} t[/tex])/t²

a = 2(2-0)/(1.5)²

a = 1.78m/s².

We have neither a burrowing-in nor a taking-off action when Newton's law is applied in the y direction, which is perpendicular to the inclination. The y component of acceleration is then equal to zero:

 ∑ [tex]F_{y}[/tex]=n–mgcosθ=0

Thus n=mgcosθ

Because  f=[tex]\mu_{k}[/tex]n

[tex]\mu_{k}[/tex] = f/mgcosθ

[tex]\mu_{k}[/tex] = 9.37/3×9.8×cos30°

[tex]\mu_{k}[/tex] = 0.368.

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It is to be noted that the total displacement is 0cm. Note that displacement is different from distance traveled.

Displacement is described as the total change in an object's location as well as the direction of motion.

The formula is given as:

Displacement = Final position – initial position = change in position.

Given that the caterpillar falls back to the ground, it means that the total displacement is zero.

Final Position = 0

Initial position = 0

Displacement, thus = 0-0 =0

When distinguishing between displacement and distance, we know that distance is the total length of the path between any two places.

Displacement is defined as the direct length between any two places measured via the shortest path between them.

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the magnitude of the magnetic field bl created at point l by both wires. is  0.0071 μI / d

since we know the formula we can refer to the magnetic field is

B=  μI / 2πR

where I is the current  flowing through the  wires, R is the distance  

Here Using the Pythagoras theorem

R= √d² + (2d)²

R = √d² + 4d²

r = √5d²

r = d√5

substituting the value of R in the formula, we get

= μI / 2π(d√5)

=   μI / 2dπ√5

=  (1 / 2π√5)(Iμ/d)

=0.0071 μI / d

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To measure one wavelength, you would measure the distance between A and B.

option D is the correct answer.

The wavelength of a wave is the distance travelled by a given a wave.

The wavelength of a wave is measured in meters and it depends on the frequency and speed of the wave.

One wavelength is distance measured from the trough to another trough of  the wave form or the distance measured from crest to another crest of the wave form.

In the given image, the following are one wavelength;

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Answer:

Explanation:

c = 180

i have same problem and it work

The maximum speed at which the car could be moving will be 20 m/s.

Speed is the ration of total distance travelled by an object to the total time taken by the object to cover that particular distance.

Mathematically, Speed (v) = [tex]\frac{Distance (d)}{Time (t)}[/tex]

d = v*t

d = distance traveled

v = initial speed

t = time = 0.75v

d1 = 0.75(t)

Total distance = d1 + d2 = 35m

35 = 0.75v + d2

d1=35-0.75v

According to the Equations of motion.

[tex]v^{2} = s^{2} - 2sd1[/tex]

[tex]v = \sqrt{s^{2} - 2ad1 }[/tex]

where

s = final speed = 0m/s

v = Initial speed

a = acceleration = -10m/s2

d1 = displacement

[tex]v = \sqrt{0 - 2(-10)(35-0.75v) }[/tex]

[tex]v^{2} = 700 - 15v[/tex]

[tex]v^{2} + 15v -700 = 0[/tex]

On solving the above quadratic equation we get two values of v as:

v1 = 20 m/s

v2 = -35m/s

Since the velocity of the car has to be taken and also the car is moving in the forward direction, therefore v1 will be considered as the final velocity of the car, i.e. the maximum speed at which the car could be moving and not hit the barrier 35.0 m ahead will be 20 m/s.

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The length of the cable that connects the pendulum ball to the ceiling with a period of 5.5 s is 7.5 m

T = 2 π √ ( L / g )

T = Time period

L = Length of the pendulum

g = Acceleration due to gravity

T = 5.5 s

g = 9.8 m / s²

5.5 = 2 * 3.14 √ ( L / 9.8 )

√ L = 0.88 * √ 9.8

L = 0.77 * 9.8

L = 7.5 m

A simple pendulum consists of a mass suspended in air by a massless and unstretchable string that is fixed to a rigid support on the other end. The time taken to complete on oscillation is the time period of a simple pendulum.

Therefore, the length of the cable is 7.5 m

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The mass of the rocket travelling in the space is 20000 kg.

The initial velocity of the rocket is 800m/s.

The final velocity of the rocket is 200m/s.

The time for which the constant force of 300000 Newton is applied is 40 second.

We know that if the force is constant than the acceleration must be constant and for the constant acceleration we can use the equation of motion,

V = U + at

Where,

V is the final velocity,

Uis the initial velocity,

a is the acceleration,

t is the time period.

Putting values,

800 = 200 + a40

600 = 40a

a = 15m/s².

The acceleration of the rocket is 15m/s².

The force on an accelerated bodies given by,

F = Ma

M is the mass of the rocket,

Putting values,

300000 = M(15)

M = 20000 Kg.

So, the mass of the rocket is 20000 kg.

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Answer:

Explanation:

Given:

m = 0.005 g = 5·10⁻⁶ kg

R = 3 m

__________

J - ?

J = m·R² = 5·10⁻⁶·3² ≈ 45·10⁻⁶ kg·m²

Answer:

The snapshot of idleness of given point mass still up in the air by,

Where,

- snapshot of idleness

- mass = 0.005 g = ( 0.005/1000 ) = 5 × 10⁻⁶ kg

- opposite distance = 3 m

Put the qualities in the equation,

Hence; the snapshot of idleness of given point mass is 4.5 × 10⁻⁵ kgm².

To find out about snapshot of idleness,

Explanation:

Snapshots of dormancy can be found by adding or coordinating over each 'piece of mass' that makes up an article, increased by the square of the distance of each 'piece of mass' to the hub. In vital structure the snapshot of latency is I=∫r2dm I = ∫ r 2 d m .

For a planar item, the snapshot of idleness about a hub opposite to the plane is the amount of the snapshots of dormancy of two opposite tomahawks through a similar point in the plane of the article. The utility of this hypothesis goes past that of computing snapshots of rigorously planar items.

Picture result for track down the snapshot of idleness of a mark of mass of 0.005g at an opposite distance of 3m from its hub of revolution.

What is snapshot of inactivity of an empty circle about a hub going through its middle ? Arrangement : 'I = (2)/(3) MR^(2)', where 'M' is the mass and 'R' is sweep of the empty circle.