Two objects, m1 = 0.6 kg and m2 = 4.4 kg undergo a one-dimensional head-on collision
Their initial velocities along the one-dimension path are vi1 = 32.4 m/s [right] and vi2 = 8.6 m/s [left].
The two objects stick together after the perfectly inelastic collision
a) Calculate the velocity after the collision.
b) Determine how much kinetic energy is lost due to the collision

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.

Learn more about wavelength of light here:

https://brainly.com/question/27557868

#SPJ1

When a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it retrograde motion.

In astronomy, retrograde motion refers to a body's actual or apparent motion in the opposite direction from the majority of solar system objects or other astronomical systems having a favored direction of motion.

Planets usually appear to migrate eastward when compared to the fixed stars.

However, on occasion, they appear to briefly stall in their eastward travel and then migrate westward (backward) in front of the stars for a few months.

They then pause once again. They resume their eastward movement after that.

This motion is known as retrograde motion and sometimes it is just an illusion.

Hence, when a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it retrograde motion.

Learn more about Retrograde motion here https://brainly.com/question/22921263

#SPJ4

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:

See below

Explanation:

There is the normal force of the book on the table.....the table exerts the same force ( upwards) on the book.

All of the forces result in a net zero force on the book so it does not move (there are no horizontal forces on the book)

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.

To know more about isometric transformation refer to:  https://brainly.com/question/110297

#SPJ4

Answer:

The answer is B

Explanation:

The section C of the heating curve represents the liquid phase, which is where liquid water is heated. Hence option D is correct.

The body or particle is considered to be heating up as the temperature rises.

100°C is the boiling point of water at 1 atm of pressure.

The term "enthalpy of vaporisation" refers to the amount of heat energy needed to change liquid water into steam.

Enthalpy of vaporisation has a greater value than enthalpy of fusion.

The amount of power needed to melt ice into liquid water is known as the enthalpy of fusion.

As a result, section C illustrates the heating of liquid water.

Hence option D is correct.

To know more about heating :

brainly.com/question/1429452

#SPJ5.

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.

Learn more about sunspots here:

https://brainly.com/question/18339194

#SPJ4

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.

Learn more about the Kinetic energy here:

https://brainly.com/question/28020510

#SPJ4

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.

Learn more about geography here: https://brainly.com/question/12790602

#SPJ1

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

Learn more about Force & Torque here https://brainly.com/question/19712713

#SPJ4

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

Learn more about terrestrial planets here https://brainly.com/question/11862047

#SPJ4

Answer:

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

Explanation:

Answer:

Approximately [tex]2.05\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

The net force on the girl would be:

[tex]\begin{aligned}m(\text{girl}) \, a(\text{girl}) &= 41\; {\rm kg} \times 3.0\; {\rm m\cdot s^{-2}} \\ &= 123.0\; {\rm N} \end{aligned}[/tex].

Under the assumptions, the net force on this girl would be equal to the tension force in the rope. All other forces on the girl would be balanced.

In other words, the tension force that the rope exerted on the girl would be [tex]123.0\; {\rm N}[/tex]. The girl would exert a reaction force on the rope at the same magnitude ([tex]123.0\; {\rm N}\![/tex]) in the opposite direction. This force would translate to a [tex]123.0\; {\rm N}\!\![/tex] force on the boy towards the girl.

Under similar assumptions, the net force on the boy would also be [tex]123.0\; {\rm N}[/tex]. Since the mass of the boy is [tex]m(\text{boy}) = 60\; {\rm kg}[/tex], the acceleration of the boy would be:

[tex]\begin{aligned}a(\text{boy}) &= \frac{(\text{net force})}{m(\text{boy})} \\ &= \frac{123.0\; {\rm N}}{60\; {\rm kg}} \\ &= 2.05\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].

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.

Read more on hang time here: https://brainly.com/question/14902568

#SPJ1

Answer:

Both will be attractive in nature.

Explanation:

In the given case, the direction of the magnetic field is same in both loops as the direction of the current is same in both loops. When two parallel straight wire carrying current in the same direction are brought close to each other, the force between them is attractive in nature. In the same way,  when two coplanar, circular and concentric loops of wire are carrying current in the same direction, the force between them is attractive in nature. It can be checked by using right hand thumb rule.

Check out other explanations.

brainly.com/question/15555539

#SPJ10

Answer:

We have the formula,

V=λ×v

where,

V is the velocity of sound =330ms

−1

v is the frequency

λ is the wavelength

We have a range of frequencies from 20Hz to 20,000Hz

Hence for frequency v=20Hz, we have

330=20×λ

Therefore, λ=

20

330

m

Explanation:

The average power required to stop the wheel is 2795 Joule.

To find the answer, we need to know about the linear velocity, acceleration and force on the wheel.

= 2×π×(283/60) rev/s

= 30 rad/s

So, velocity= 30×1.21 m = 36.3 m/s

The force on the wheel= mass× acceleration

= 31.4 × 2.45 = 77 N

Thus, we can conclude that the average power of the wheel is 2795 J.

Learn more about the average power here:

brainly.com/question/19415290

#SPJ4

0.23 mm far apart are the second-order fringes for these two wavelengths on a screen 1.5 m away.

Position of n the order fringe = n λ D / d

for n = 2

position = 2 λ D / d

λ = 710 nm , D = 1.5m

d = .65 x 10⁻³

position 1 = 2 x 710 x 10⁻⁹ x 1.5 / .65 x 10⁻³

= 3276.92 x 10⁻⁶ m

= 3.276x 10⁻³ m

= 3.276mm .

For λ = 660 nm

position = 2 λ D / d

λ = 660 nm , D = 1.5 m

d = .65 x 10⁻³

position 2 = 2 x 660 x 10⁻⁹ x 1.5 / .65 x 10⁻³

= 3046.15 x 10⁻⁶ m

= 3.046 x 10⁻³ m

= 3.046 mm .

Difference between their position

= 3.276mm ₋ 3.046 mm

= 0.23 mm .

To know more about Fringes refer to:  https://brainly.com/question/15649748

#SPJ4

The wavelength of the standing wave at fourth harmonic is; λ = 0.985 m and the frequency of the wave at the calculated wavelength is; f = 36.84 Hz

Given Conditions:

mass of string; m = 0.0133 kg

Force on the string; F = 8.89 N

Length of string; L = 1.97 m

1. To find the wavelength at the fourth normal node.

At the fourth harmonic, there will be 2 nodes.

Thus, the wavelength will be;

λ = L/2

λ = 1.97/2

λ = 0.985 m

2. To find the velocity of the wave from the formula;

v = √(F/(m/L)

Plugging in the relevant values gives;

v = √(8.89/(0.0133/1.97)

v = 36.2876 m/s

Now, formula for frequency here is;

f = v/λ

f = 36.2876/0.985

f = 36.84 Hz

Read more about Harmonics of standing waves at; brainly.com/question/10274257

#SPJ4

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.

To learn more about the charge, refer to the link;

https://brainly.com/question/24391667

#SPJ1

Mature wind waves of one wavelength that form orderly undulations of the ocean surface and often precede a major storm system is known as swells.

Meaning of mature wind and waves:

The waves in a fully developed sea outrun the storm that creates them, lengthening and reducing in height in the process.      

There are 3 types of wind generated waves:

we can say that,

Mature wind waves are known as swell, when they left the formation region.

They have traveled away from where they were raised by the wind, and have to a greater or lesser extent dispersed.

Hence,

Mature wind waves of one wavelength is known as swell.

know more about Mature wind waves here:

https://brainly.com/question/23823354

#SPJ4

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

Learn more about energy:

https://brainly.com/question/10703928

#SPJ1

Answer:

Therefore, the number of electrons moving through the receiver circuit per second is 6250 electrons/s.

Explanation:

Given:

Power of radio wave, P = 1 × 10⁻²⁴ W

Potential of signal, V = 1 × 10⁻⁹ V

Solution:

Consider the number of electrons flowing through the receiver circuit per second be 'n'.

The current flowing through the circuit will be:

I = P/V

 = (1 × 10⁻²⁴ W)/(1 × 10⁻⁹ V)

 = 1 × 10⁻¹⁵ A

Then, the number of electrons moving through the receiver circuit can be  calculated as:

ne = I

where, e is charge on an electron

            I is current flowing through the circuit

Applying values in above equation we get:

n(1.6×10⁻¹⁹ C) = (1 × 10⁻¹⁵ A)

n = (1 × 10⁻¹⁵ A)/(1.6×10⁻¹⁹ C)

n = 6250 electrons/s

Therefore, the number of electrons moving through the receiver circuit per second is 6250 electrons/s.

Learn more about electron flow here:

https://brainly.com/question/6531580

#SPJ4

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.

Read more about Ptolemy

https://brainly.com/question/15075606

#SPJ1

After 5 seconds the velocity of the projectile is 71m/s

Given that Initial velocity is 120m/s

Time t = 5s

We need to find the velocity after 5 sec

Projectile motion is the movement of an item hurled or projected into the air, which is only subject to the acceleration of gravity. The trajectory of the object is referred to as its trajectory.

The horizontal velocity of a projectile is constant,

There is a vertical acceleration caused by gravity and  its value is 9.8 m/s

Now the velocity for 5 seconds

[tex]v(t)=v_0-gt\\[/tex]

[tex]v(t)=120-(9.8)(5)\\\\v(t) =71m/s[/tex]

Hence the velocity after 5 seconds is 71m/s

Learn more about Projectile motion here

https://brainly.com/question/24216590

#SPJ4

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.

Learn more about the power of the transmitted beam here brainly.com/question/15691460

#SPJ4

c. A current is induced in the coiled wire, which lights the light bulb.

If we kept the bar magnet stationary and moved the coil back and forth within the magnetic field an electric current would be induced in the coil.

Then by either moving the wire or changing the magnetic field we can induce a voltage and current within the coil and this process is known as Electromagnetic Induction and is the basic principle of operation of transformers, motors and generators.

When the magnet shown below is moved “towards” the coil, the pointer or needle of the Galvanometer, which is basically a very sensitive center zeroed moving-coil ammeter, will deflect away from its center position in one direction only.

When the magnet stops moving and is held stationary with regards to the coil the needle of the galvanometer returns back to zero as there is no physical movement of the magnetic field.

Therefore ,

If you move a bar magnet back and forth along the axis of the coiled wire shown below then a current is induced in the coiled wire, which lights the light bulb.

Learn more about electromagnetic induction here:

https://brainly.com/question/26334813

#SPJ1

Friction yields equal amounts of positive and negative charge as positive and negative charges occur in pairs.

What is frictional electricity:

When two charged particles are rubbed together, transfer of charge takes place. This leads to production of electricity, as one object loses electrons and gains positive charge while the other object gains electrons and becomes negatively charged.

All objects contain equal amounts of positive and negative charge. Thus, when friction is caused between them, it yields equal amounts of positive and negative charge which is known as static electricity.

One of the prime example of static electricity is rubbing silk cloth over glass rod. Here, the glass rod loses electrons while silk gains electrons. thus, the glass rod becomes positively charged and silk becomes negatively charged.

Learn more about static electricity here:

https://brainly.com/question/12791045

#SPJ4