which one of the following statements concerning electromagnetic waves is false? (1.5 points) (a) electromagnetic waves carry energy. (b) x-rays have longer wavelengths than radio waves. (c) in vacuum, all electromagnetic waves travel at the same speed. (d) lower frequency electromagnetic waves can be produced by oscillating circuits. (e) they consist of mutually perpendicular electric and magnetic fields that oscillate perpendicular to the direction of propagation.

The Mass of second cart , speed after impact and speed of Centre of Mass is 110kg , 1.88m/s respectively.

The Center of Mass of an object or system of objects is a location that is specified in relation to those objects. The Center of Mass of a system is the average location of all components that are weighted in accordance with their masses.

The centroid serves as the location of the center of mass for simple rigid objects with uniform densities. The Center of Mass of an object might not always lie over it. The Center of Mass of a uniform disc would be on its Center, whereas the Center of Mass of a ring would be on its Center but without any material.

For complex shapes, the Center of Mass is the singular location where the product of the weighted position vectors of all the components equals zero.

(a) To obtain the mass of the second cart m2, substitute 342 g for mass of first cart m,

1.24 m/s for vii and 0.636 m/s for vir in the equation mm l(Vi- Vid (Vi+

mm [(Vi-Vid (Vi+ Vid]

=342 g [(1.24 m/s-0.636 m/s) (1.24 m/s + 0.636 m/s)]

(342 g103 kg/1 g) [(1.24 m/s -0.636 m/s)/ (1.24 m/s +0.636 m/s)]

0.110 kg

(b) From the above observation, we conclude that, the mass of the second cart would

be 0.110 kg

(c) To obtain the speed of the second cart after impact V26, substitute 342 g for mass of first

cart m, 1.24 m/s for vii and 0.110 kg for m in the equation V2(2m1/ m tma) Vi

V2r277/ m +m2) Vi

=(2(342 g342 g+0.110 kg)) (1.24 m/s)

2342 g(103 kg/1 g)V(342 g (103 kg/1 g) +O.110 kg)] (1.24 m/s)

{2(0.342 kg)/(0.342 kg+0.110 kg)](1.24 m/s)

=1.88 m/s

From the above observation we conclude that, the sped of the second cart after impact v2r would be 1.88 m/s.

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The distance to the cluster is 2.86 billion lightyears. So the correct answer is B. 2.86 billion lightyears.

Distance is a measure of how far apart two objects are from each other. It can be expressed in a variety of units, such as meters, kilometers, miles, or lightyears. In physics and astronomy, distance is often used to describe the separation between two objects in space, such as planets, stars, or galaxies. Distance is an important concept because it helps us understand the size and scale of the universe and how objects within it are related to each other.

To calculate the distance to the cluster of galaxies, we can use the formula:

Distance = (Recessional velocity) / (Hubble constant)

Plugging in the values:

Distance = (60,000 km/s) / (21 km/s/million lightyears)

Distance = 2,857,142.857 million lightyears

Distance = 2.86 billion lightyears

The missing part in the question is shown below.

A cluster of galaxies is observed to have a recessional velocity of 60,000 km/s. find the distance to the cluster. (Assume a hubble constant of 21 km/s per million lightyears).

A. 2.70 billion lightyears

B. 2.86 billion lightyears

C. 1.30 million lightyears

D. 1.26 billion lightyears

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Answer:

Explanation:

Conduction:  touch a hot toaster oven (and get burned!)

Radiation:  hold hands near a hot toaster oven to warm them up

Convection:  see air above a hot toaster oven appear wavy as it rises

The maximum kinetic energy of the electron in ev is 2.86 ev.

We know the relation between energy, work function and maximum kinetic energy as,

E = W + KE max -----(1)

where, E is the energy absorbed

W is the work function

KE max is the maximum kinetic energy

It is also known as photoelectric equation.

Given that,

E = 8.61 ev

W = 5.75 ev

KE max = ?

By substituting the above values in equation (1), we have

8.61 = 5.75 + KE max

KE max = 2.86 ev

Thus, the maximum kinetic energy of the electron in ev is 2.86 ev.

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The hiker's average velocity during part B of the hike is 6 km/h South.

Given the following data:

Total distance = 6 km, South.

Start time = 9:45 am

Ending time = 10:45 am

To determine hiker's average velocity during part B of the hike:

First of all, we would determine the total time.

Total time = Ending time - starting time

Total time = 10:45 - 9:45

Total time = 1 hour.

Mathematically, the average velocity is given by the formula:

Average velocity = total distance / total time

Substituting the parameters into the formula, we have;

Average velocity = 6/1

Average velocity = 6 km/h South.

Therefore, the average velocity of the biker is 6 km/h South

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Answer: burning less fossil fuel

Explanation: I did the quick check and it was right :)

The maximum acceleration of a platform is 92.7 m/s².

What is an oscillation?

Oscillation is the process of any quantity or measure repeatedly varying about its equilibrium value in time. A periodic variation of a substance between two values or around its center value is another definition of oscillation.

We know,

The acceleration amplitude = [tex]a_{m}[/tex] = ω²[tex]x_{m}[/tex]

Here,

ω = angular frequency (ω=2[tex]\pi[/tex]f)

There are 2[tex]\pi[/tex] radians in one cycle, so we obtain:

[tex]a_{m}[/tex] = ω²[tex]x_{m}[/tex] = (2[tex]\pi[/tex]f)²[tex]x_{m}[/tex] = (2[tex]\pi[/tex](9.90Hz)²(0.024m) = 92.7 m/s².

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The mass of the bullet is 9.7 grams.

As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system.

                                             i.e.ME = KE + PE

As given in the problem bullet is fired into a large stationary absorber and comes to rest. So PE = 0.

Temperature measurements of the absorber show that the bullet lost 1729 J of kinetic energy and high-speed photos of the bullet show that it was moving at 597 m/s just as it struck the absorber.

We know that KE = [tex]\frac{1}{2} mv^{2}[/tex], where

KE = kinetic energy = 1729J

m = mass

v = velocity = 597 m/s

Putting these values in above equation we get, m = 9.7 grams

So, the mass of the bullet is 9.7 grams.

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The force of the bridge on the camel is given as - (W + w) N.

According to Newton's third law of motion, for every force, there is an equal but oppositely-directed force.

The force of gravity acting on the camel produces a downward force that acts perpendicular to the plane of the surface of the bridge.

According to Newton's law of motion, a balancing force acts on the camel in the opposite direction of the weight of the camel. This is the force of the bridge in the camel.

The total downward force acting on the bridge = (W + w) N

The total upward force acting on the camel = - (W + w) N

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It would be deflected to the left.

Which way would wind travel in the region between 30 and 60 degrees latitude?

Between 30 and 60 degrees latitude, where middle latitude storms are located, winds blow from the west. These storms go eastward from westward. On the other hand, hurricanes are only found in the tropics, namely between the equator and 30 degrees latitude. Hurricanes are moved by the trade winds from east to west.

It would be deflected to the left. [The direction of travel does not matter in the deflection, all directions of travel are deflected to the right in the northern hemisphere and to the left in the southern hemisphere.]

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The graph shows a position - time graph of an object which is moving downhill. The object is moving with a constant speed but away from the observer.

Velocity is a physical quantity that measures the distance covered per unit time. Velocity is a vector quantity and is having both magnitude and direction.

Velocity is the ratio of distance to the time. Thus, if the change in distance is linear with the change in time, there will be no change in velocity and the object is said to be moving with constant velocity.

If the distance and time are non-linear thus, thus, change in distance is not coinciding with change in time, then the velocity changes each time. The given object is moving away from the observer and

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4,860m/s² centripetal acceleration at the tip of a 4.00 m long helicopter blade that rotates at 270 rev/min.

The rate at which tangential velocity changes is known as centripetal acceleration. Centripetal force is defined as the total force that accelerates an item in a circular motion. The centripetal force points in the direction of the centre, perpendicular to the body's motion.

An object moves in a circular motion around a central axis when it is rotating or spinning. A two-dimensional spinning object can rotate in either a clockwise or counterclockwise direction and has a single potential central axis. There are countless central axis and rotational directions that can be used to describe a three-dimensional object.

Calculation:

Centripetal acceleration =  ac = w². r

= (270)² × 4 = 4,860m/s²

Hence, 4,860m/s² centripetal acceleration.

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The temperature rise the second cylinder B is 5/3 times the temperature in the cylinder A.

The heat source for both cylinders was:

ΔQ₁ = ΔQ₂  .....eq 1

Gas will expand in a cylinder with a free piston so that the pressure is always constant.

P = constant

Then,

ΔQ₁ = n.Cp.ΔT

ΔQ₁ = n.Cp.T₀  .....eq 2

With Fixed piston for cylinder (constant volume process),

V = constant

ΔQ₁ = n.Cv.ΔT  .....eq 3

From eq 1

n.Cp.T₀  =  n.Cv.ΔT

ΔT = (Cp/Cv) . T₀

ΔT = γ T₀

For the monatomic gas (γ = 5/3)

ΔT = 5/3 T₀

Thus, the temperature rise the second cylinder B is 5/3 times the temperature in the cylinder A.

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x(t) = 0.03 cos(4t) is the equation that models the motion of the mass on a spring.

The mass is pushed towards the equilibrium position by the force of the spring. Because the mass is shifting direction as it reaches its maximum displacement location, velocity is zero.

The equation: can be used to simulate the motion of a mass on a spring.

x(t) = A cos(2πf t)

A = 0.03 m since the highest displacement is known to be 3 cm. We also know that the oscillation's period is 0.5 seconds, hence the frequency is:

f = 1/T = 1/0.5 = 2 Hz

Substituting the values of A and f in the equation, we get:

x(t) = 0.03 cos(2π × 2 t)

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The binding energy per nucleon of 235-U and 137-Cs is given below:

The binding energy of a nucleus is given by the following equation:

where;

BE is binding energy

Δm is mass defect

c is the speed of light = 931.49 MeV/u

For 235U:

A = 235

Δm  = 1.9150664

BE = 1.9150664  * 931.49 MeV/u

BE = 1783.8648 MeV

The binding energy per nucleon is given by the formula; BE/A

BE/A =  1738.648 MeV / 235

BE/A = 7.6 MeV

For 137-Cs, binding energy will be:

Δm is mass defect = 1.23383 u

BE = 1.23383 u * 31.49 MeV/u = 1149.3003 MeV

And, the binding energy per nucleon, BE/A will be:

And, since in the case of 137-Cs, A is 137;

BE/A = 1149.3003 MeV / 137

BE/A = 8.39 MeV

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The centripetal acceleration of the race car is 14.22m/s².

centripetal acceleration, the acceleration of a body traversing a circular path. Since velocity is a vector quantity (that is, it has magnitude, speed, and direction), when a body moves along a circular path, its direction is constantly changing, and thus its speed also changes and acceleration occurs. The acceleration is directed radially towards the center of the circle. The centripetal acceleration ac has a magnitude equal to the square of the velocity v of the body along the curve divided by the distance r from the center of the circle to the moving body; that is, ac = v²/r. Centripetal acceleration has units of meter per second squared.

v=80m/s

r=450m

a=80²/450=14.22m/s²

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The following statements is true regarding dermatomes is O Dermatomes overlap at their edges by as much as 50%

Dermatomes are sensory areas of the skin that are innervated by a specific spinal nerve. While each dermatome provides sensory input from a specific area of the skin to a specific spinal nerve, the edges of the dermatomes may overlap by as much as 50%. This means that a given area of skin may be innervated by more than one spinal nerve. Dermatomes are used to assess spinal nerve damage and can be used to assess the level of damage to the nerve. This is important in order to provide sensory input from a broad area of the skin to a specific spinal nerve. Dermatomes are not used to assess spinal nerve damage, but rather to provide sensory information from the skin to the spinal nerve.

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The discoveries of Copernicus and other astronomers proved that universe was heliocentric which affected the way people viewed the universe.

Thus, the correct answer is D.

The word "helios" in Greek meаns "sun." Heliocentric meаns thаt the sun is аt the center. А heliocentric system is one in which the plаnets revolve аround а fixed sun.  This theory wаs first proposed by Nicolаus Copernicus. Copernicus wаs а Polish аstronomer. He first published the heliocentric system in his book: De revolutionibus orbium coelestium, "On the revolutions of the heаvenly bodies," which аppeаred in 1543.

After 1,400 yeаrs, Copernicus wаs the first to propose а theory which differed from Ptolemy's geocentric system, аccording to which the eаrth is аt rest in the center with the rest of the plаnets revolving аround it. The clаim thаt аll plаnets revolve аround the sun hаd been rаised in аncient times, but Copernicus wаs the first to succeed in describing the movements of the plаnets using аn аstronomicаl theory which plаced the sun аt the center.

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After leaving the provided switch at the given position for a longer time, then its moves given switch from a to b. At t = 0, the left part of the plate C has charge q=max and therefore, the current flowing through it is zero.

What are Oscillation ?

Oscillation is the repetitive or periodic variation, usually in time, of a few degree approximately a crucial value (regularly a factor of equilibrium) or among or extra one-of-a-kind states. Familiar examples for all oscillation encompass a swinging type of pendulum with alternating current. A wave is stated to oscillate, which means to transport to and fro in a regular, repeating way.

This fluctuation may be among extremes for all position, like force, or quantity. Different sorts of waves have one-of-a-kind sorts of oscillations. Longitudinal type of waves: here Oscillation is parallel  route of the wave.

The maximum charge stored in the capacitor is,

Q== CE

i=0

At t=t/4 the left part of the plate C has charge q = 0 and therefore, the current flowing through it is clockwise.

i= clockwise

At t=t/2, the left part of the plate C has charge q=-9max and therefore, the current flowing through it is zero.

i=0

At t=3t/4, the left part of the plate C has charge q=0 and therefore, the current flowing through it is counter clockwise.

i=counter clockwise.

At t = 0, the left part of the plate C has charge q=max and therefore, the current flowing through it is zero.

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The pressure exerted on the ground by the box of mass 5 kg is 0.98 N/m².

Pressure is defined to be the amount of force exerted per area acting on the surface of a body.

To calculate the preesure exerted on the ground, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the pressure exerted on the ground is 0.98 N/m².

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Higher one car has a higher mass acceleration as the higher mass of car results in less coefficient of friction due to which acceleration is more.

So a lighter car will have a higher coefficient of friction given the exact same tire as a heavier car. With rolling, inertia of the rotating wheel will increase the effective mass of the car and so will reduce the deceleration, thus giving a longer braking distance.

But as you roll, you experience rolling resistance, which increases the brake friction force. Additionally, a rolling tire's coefficient of friction may be significantly higher than a sliding tire's.

A skilled driver may be able to brake with a rolling tyre rather than a sliding tyre in less time due to the difference in size.

If the cars have both comparable tires well suited and sized for their weight, they will both slide the same distance as mass is not a factor with friction.

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Answer:

5m/s²

Explanation

100N and 80N of forces act in the same direction so we will add them together

100N + 80N = 180N

while 30N force act in opposite direction so we will have to subtract

180N – 30N = 150N

force = 150N

mass = 30 kg

acceleration = ?

using the formula

f = m × a

[tex]a = \frac{f}{m} [/tex]

[tex]a = \frac{150}{30} = {5ms}^{ - 2} [/tex]

I hope this helps

It all happens because of the law of Inertia.

The Newton's first law which is also called the law of inertia states that when a body is moving or at rest, it tends to be in the same state state until an external force is applied to it.

The dust particles can't be removed just by squirting water as the water may become stagnant and the dust particles will get mixed up with water by making a heterogenous mixture and they can remain there. Thus, a large pressure should be applied with a large amount of force which can remove the particles.

The same goes with other dust particles, they can't be removed until an external force is applied so that they leave the surface and fall off. Here, newton's first and second law works.

The leaf remains on the car because the force applied by the air on the opposite is more to make the leaf stay or sometimes they get stuck in a part of a car from where it can't be flown until a great amount of force is applied. Here, Newton's third law works.

Therefore, everything is controlled by the Newton's laws of motion.

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Transfer function g(s)=vo(s)/vi(s) is G(s) = s/2s +1

In frequency domain Inductor L transforms to sL and Capacitor C transforms to 1/sC using this ,the output voltage in frequency i.e s domain using voltage division rule is

Vo (s) = Vi(s) * sL ║1 / 1 + sL║1 = Vi (s) * s║1 / 1+ s║1

assume L = 1H

Vo (s) = Vi (s) * s*1/s+1 / 1+ s*1/s+1

G(s) = Vo (s) /Vi (s) = s / s + 1+ s = s/2s + 1

G(s) = s/2s + 1

A mathematical function known as a system function or network function of a system, sub-system, or component theoretically simulates the output of the system for each potential input. Electronics and control systems use them extensively. This function, which is sometimes called a transfer curve or characteristic curve, is a two-dimensional graph of an independent scalar input vs a dependent scalar output. In electronics and control theory, transfer functions for components are used to build and analyze systems that are constructed from components, particularly when utilizing the block diagram technique.

The transfer function's parameters and units simulate the output response of the device for a variety of potential inputs.

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If the ring is off-center when it hits the disk, the disk will still spin, but the moment of inertia will be affected.

The off-center location of the ring will cause the disk to be unbalanced, which will cause the moment of inertia to be lower than it would be if the ring were centered. This means that the disk will not spin as rapidly or as long as it would if the ring were centered.

This means that the rotational energy of the ring will not be distributed evenly and the result will be an unbalanced, or skewed, rotation. This will cause an inaccurate measurement of the moment of inertia, as the off-center ring will not be able to provide a true representation of the rotational energy.

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Answer:

A 0.5 kg object is launched vertically when its put on top of a spring that has been compressed by 12 cm. The spring constant is 24 kN/m.

Explanation:

The sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest is as follows:

1. The ball has potential energy (gravitational potential energy) from being held above the board.

2. As the ball is dropped, it gains kinetic energy as it accelerates to the ground.

3. When the ball hits the board, the kinetic energy is converted into elastic potential energy as the board bends.

4. As the board continues to bend, the elastic potential energy is converted into thermal energy.

5. Finally, when the board reaches its maximum extent, the ball is at rest and its kinetic energy has been completely converted into thermal energy.

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The average pressure does this wave exert on a totally reflecting surface is 5.13*10^-12 pa.

As a result of the momentum transfer between the electromagnetic field and the object, the idea of radiation pressure is created. Since electromagnetic waves carry transport momentum, this force can be observed.

The mechanical pressure that is applied to any surface as a result of the electromagnetic field and the object exchanging momentum is known as radiation pressure. When photons hit the object's surface in this instance, momentum is transferred.

The composition of the surface and the level of light intensity employed determine the radiation pressure on any given surface.

Given,

power=777Kw

r=4.50 Km

According to the condition given, we get

I = Pav/ A

I = 777000 w/2π(4000m)^2

I = 7.7 *10^-3 w/m²

Average pressure is given by

PaV = 2I/c

Pav = 2* 7.7 x 10^-3/3*10^8

Pav = 5.13*10^-12 pa.

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The steps of cycle of density of current :

1)Top layer of the ocean freeze , releasing salt

2) Warm less dense water flows towards the pole

3) Salty cold water sinks to the bottom of the ocean

4) Warmer water rises and mixes with less salty water

5)  At  the equator solar energy warms the water

Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.

The measurement of the flow of electric charge through the cross-unit section's area in a certain amount of time. A vector quantity is the current density. It has magnitude and direction, thus. A/m2 is the S.I unit for current density, and it is represented by the letter J.

The amount of electric current passing through a material per unit of its cross-sectional area is known as its current density. Ampere/meter2 must be the SI unit for current density.

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